Details

Time bar (total: 9.5s)

sample114.0ms

Algorithm
intervals
Results
25.0ms102×body1280valid
19.0ms491×body80nan
15.0ms88×body640valid
10.0ms271×body80valid
4.0ms36×body320valid
2.0ms18×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
285
done85

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- (exp x) 1.0))
5.3b
(- (exp x) 1.0)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
sqrt-prod
add-log-exp
pow1 add-cube-cbrt
flip3-- add-cbrt-cube sqrt-div add-exp-log flip-- distribute-lft-out-- difference-of-squares
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 31
Calls
2 calls:
56.0ms
(sqrt (- (exp x) 1.0))
20.0ms
(- (exp x) 1.0)

series91.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(sqrt (- (exp x) 1.0))
29.0ms
(- (exp x) 1.0)

simplify2.0s

Counts
37 → 37
Iterations

Useful iterations: 3 (545.0ms)

IterNodesCost
066320
1133292
2395279
31729275
done5000275

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x))
0.0b
(* (pow x 2) (+ 1/2 (* x 1/6)))
0.4b
(* x 1/6)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
11×associate-*l*
10×add-exp-log
*-un-lft-identity add-cube-cbrt
add-cbrt-cube
pow1 associate-*r*
unswap-sqr
unpow-prod-down prod-exp
sqrt-prod add-log-exp
flip3-+ sqrt-div associate-*r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
distribute-rgt-in pow-to-exp rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down pow-exp
Counts
3 → 64
Calls
3 calls:
29.0ms
(sqrt (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x))
49.0ms
(* (pow x 2) (+ 1/2 (* x 1/6)))
13.0ms
(* x 1/6)

series275.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(sqrt (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x))
143.0ms
(* (pow x 2) (+ 1/2 (* x 1/6)))
29.0ms
(* x 1/6)

simplify1.9s

Counts
73 → 73
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0132888
1361788
21831727
done5000725

prune357.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

97.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 1.0b

bsearch61.0ms

Steps
ItersRangePoint
7
8.118882087641906e-06
0.000689657585566607
0.00015925266424674

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02331
12831
done2831

end0.0ms

sample4.2s

Algorithm
intervals
Results
976.0ms15815×body80nan
931.0ms3372×body1280valid
602.0ms2512×body640valid
371.0ms8211×body80valid
205.0ms1248×body320valid
104.0ms579×body160valid