Details

Time bar (total: 7.5s)

sample31.0ms

Algorithm
intervals
Results
12.0ms680×body80nan
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (- (/ 1.0 x) 1.0))
0.0b
(- (/ 1.0 x) 1.0)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
log-prod
div-inv add-log-exp difference-of-squares
pow1 add-exp-log
expm1-log1p-u log-div flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
sub-neg diff-log rem-log-exp log-pow
Counts
2 → 88
Calls
2 calls:
9.0ms
(log (- (/ 1.0 x) 1.0))
14.0ms
(- (/ 1.0 x) 1.0)

series99.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(log (- (/ 1.0 x) 1.0))
37.0ms
(- (/ 1.0 x) 1.0)

simplify588.0ms

Counts
94 → 94
Iterations

Useful iterations: done (585.0ms)

IterNodesCost
01571601
13261202
21099954
done5001870

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
times-frac
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
7.0ms
(cbrt (- (/ 1.0 x) 1.0))
7.0ms
(cbrt (- (/ 1.0 x) 1.0))
7.0ms
(cbrt (- (/ 1.0 x) 1.0))
59.0ms
(* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))

series714.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt (- (/ 1.0 x) 1.0))
136.0ms
(cbrt (- (/ 1.0 x) 1.0))
131.0ms
(cbrt (- (/ 1.0 x) 1.0))
186.0ms
(* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))

simplify525.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
01892366
14472207
216502070
done50002070

prune325.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(* (cbrt (cbrt (- (/ 1.0 x) 1.0))) (cbrt (cbrt (- (/ 1.0 x) 1.0))))
0.7b
(pow (cbrt (cbrt (- (/ 1.0 x) 1.0))) 3)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
128×cbrt-prod
83×add-sqr-sqrt
47×*-un-lft-identity
32×cbrt-div
25×add-cube-cbrt
16×difference-of-squares
14×swap-sqr
12×pow1 unpow-prod-down cube-prod associate-*r* associate-*l*
10×distribute-lft-out--
flip3-- pow1/3 flip-- unswap-sqr
times-frac
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow
cube-div pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 cube-mult pow-to-exp pow-plus unpow3 pow-exp prod-exp *-commutative cbrt-unprod rem-cube-cbrt sqr-pow
Counts
4 → 157
Calls
4 calls:
6.0ms
(cbrt (- (/ 1.0 x) 1.0))
7.0ms
(cbrt (- (/ 1.0 x) 1.0))
63.0ms
(* (cbrt (cbrt (- (/ 1.0 x) 1.0))) (cbrt (cbrt (- (/ 1.0 x) 1.0))))
18.0ms
(pow (cbrt (cbrt (- (/ 1.0 x) 1.0))) 3)

series773.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (- (/ 1.0 x) 1.0))
148.0ms
(cbrt (- (/ 1.0 x) 1.0))
203.0ms
(* (cbrt (cbrt (- (/ 1.0 x) 1.0))) (cbrt (cbrt (- (/ 1.0 x) 1.0))))
286.0ms
(pow (cbrt (cbrt (- (/ 1.0 x) 1.0))) 3)

simplify2.5s

Counts
169 → 169
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
02723469
16752989
231482634
done50002634

prune511.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
11022
done1022

end0.0ms

sample961.0ms

Algorithm
intervals
Results
427.0ms24232×body80nan
199.0ms8000×body80valid