Details

Time bar (total: 3.0s)

sample40.0ms

Algorithm
intervals
Results
17.0ms117×body1280valid
6.0ms73×body640valid
4.0ms388×pre80true
2.0ms37×body320valid
2.0ms138×body80valid
1.0ms23×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.8b
(- (exp x) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
5.0ms
(- (exp x) 1.0)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(- (exp x) 1.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0140205
1403130
22063120
3500390

prune52.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New28331
Fresh000
Picked101
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0b
(fma 1/6 (pow x 3) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
1.0ms
(fma 1/6 (pow x 3) x)

series101.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
74.0ms
(fma 1/6 (pow x 3) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
055118
1186104
21137104
35001104

prune61.0ms

Filtered
26 candidates to 20 candidates (76.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh022
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.7b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
1.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
62.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
63.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
59.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify171.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02681098
19221018
24660940
35001940

prune280.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh123
Picked101
Done011
Total93598

Merged error: 0.0b

Counts
98 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.7b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
2.2b
(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 1/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
5.0ms
(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
1.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
2.0ms
(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 1/3)

series254.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
63.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
58.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
63.0ms
(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 1/3)

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03191082
11289854
25002820

prune305.0ms

Filtered
100 candidates to 78 candidates (78.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh123
Picked011
Done011
Total1005105

Merged error: 0.0b

Counts
105 → 5

regimes73.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094

end0.0ms

sample1.1s

Algorithm
intervals
Results
497.0ms3496×body1280valid
207.0ms2428×body640valid
109.0ms12009×pre80true
66.0ms1273×body320valid
50.0ms4196×body80valid
20.0ms616×body160valid