Details

Time bar (total: 20.3s)

sample84.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
16.0ms256×pre80true

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
53773
4701
3202
270
128
013

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2))
0.0b
(pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2)
0.0b
(* ndoth (pow roughness 2))
0.1b
(/ (pow roughness 2) (* PI (pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2)))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
28×add-sqr-sqrt
17×unpow-prod-down
16×*-un-lft-identity associate-*r* add-cube-cbrt
15×prod-exp
13×add-cbrt-cube
12×div-exp
10×pow-to-exp pow-exp
times-frac associate-/l* unswap-sqr
unpow2 sqr-pow
associate-*l*
pow1
insert-posit16 add-log-exp
pow-unpow cbrt-unprod
cbrt-undiv *-commutative
clear-num associate-/r* pow-pow frac-2neg div-inv
Counts
4 → 117
Calls
4 calls:
205.0ms
(* PI (pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2))
62.0ms
(pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2)
22.0ms
(* ndoth (pow roughness 2))
111.0ms
(/ (pow roughness 2) (* PI (pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* PI (pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2))
138.0ms
(pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2)
57.0ms
(* ndoth (pow roughness 2))
255.0ms
(/ (pow roughness 2) (* PI (pow (+ (* (- (* ndoth (pow roughness 2)) ndoth) ndoth) 1) 2)))

simplify4.3s

Counts
129 → 129
Iterations
IterNodes
35888
21231
1447
0192

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* ndoth (* roughness roughness))
0.0b
(* ndoth (* roughness roughness))
0.1b
(* (/ (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)) PI) (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)))
0.3b
(/ (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)) PI)

rewrite806.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
117×add-sqr-sqrt
94×*-un-lft-identity add-cube-cbrt
55×associate-*l*
40×add-cbrt-cube add-exp-log
17×associate-*r*
16×pow1 associate-/r/
15×associate-/l*
12×cbrt-undiv div-exp prod-exp cbrt-unprod
10×div-inv
flip3-+ flip-+ unswap-sqr
pow-prod-down
insert-posit16 add-log-exp
associate-/r* *-commutative
frac-times clear-num frac-2neg associate-*l/ associate-*r/ associate-/l/
Counts
4 → 214
Calls
4 calls:
34.0ms
(* ndoth (* roughness roughness))
34.0ms
(* ndoth (* roughness roughness))
525.0ms
(* (/ (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)) PI) (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)))
205.0ms
(/ (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)) PI)

series573.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* ndoth (* roughness roughness))
55.0ms
(* ndoth (* roughness roughness))
257.0ms
(* (/ (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)) PI) (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)))
205.0ms
(/ (/ roughness (+ (* (- (* ndoth (* roughness roughness)) ndoth) ndoth) 1)) PI)

simplify2.4s

Counts
226 → 226
Iterations
IterNodes
23307
11055
0333

prune3.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
217
117
013

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8000×body80valid
509.0ms8000×pre80true