Details

Time bar (total: 16.3s)

sample131.0ms

Algorithm
intervals
Results
50.0ms48×body1280valid
32.0ms43×body640valid
25.0ms142×body80valid
8.0ms15×body320valid
3.0msbody160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
25
15
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize13.0ms

Local error

Found 1 expressions with local error:

1.2b
(tan (+ x 1))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 tan-sum *-un-lft-identity add-cbrt-cube tan-quot add-exp-log add-cube-cbrt insert-posit16 add-log-exp
Counts
1 → 10
Calls
1 calls:
12.0ms
(tan (+ x 1))

series168.0ms

Counts
1 → 3
Calls
1 calls:
168.0ms
(tan (+ x 1))

simplify3.1s

Counts
13 → 13
Iterations
IterNodes
44995
31059
2260
185
040

prune130.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1 (* (tan x) (tan 1)))
0.2b
(/ (+ (tan x) (tan 1)) (- 1 (* (tan x) (tan 1))))
0.2b
(+ (tan x) (tan 1))
0.3b
(* (tan x) (tan 1))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×times-frac
add-cbrt-cube tan-quot add-exp-log add-log-exp
pow1
distribute-lft-out
insert-posit16 associate-/l*
associate-/r* associate-*r* associate-*l* associate-/l/
flip3-+ flip3-- frac-add associate-/r/ flip-+ flip--
frac-times cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 86
Calls
4 calls:
11.0ms
(- 1 (* (tan x) (tan 1)))
68.0ms
(/ (+ (tan x) (tan 1)) (- 1 (* (tan x) (tan 1))))
18.0ms
(+ (tan x) (tan 1))
34.0ms
(* (tan x) (tan 1))

series2.0s

Counts
4 → 12
Calls
4 calls:
394.0ms
(- 1 (* (tan x) (tan 1)))
865.0ms
(/ (+ (tan x) (tan 1)) (- 1 (* (tan x) (tan 1))))
343.0ms
(+ (tan x) (tan 1))
422.0ms
(* (tan x) (tan 1))

simplify3.2s

Counts
98 → 98
Iterations
IterNodes
34059
21174
1403
0168

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
212
112
010

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.2s1499×body1280valid
2.0s4279×body80valid
1.0s1278×body640valid
388.0ms623×body320valid
167.0ms321×body160valid