Details

Time bar (total: 2.7s)

sample38.0ms

Algorithm
intervals
Results
15.0ms101×body1280valid
7.0ms86×body640valid
3.0ms384×pre80true
2.0ms42×body320valid
2.0ms136×body80valid
1.0ms19×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:

4.8b
(- (exp x) 1.0)

rewrite5.0ms

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:
4.0ms
(- (exp x) 1.0)

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(- (exp x) 1.0)

simplify63.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0140205
1403130
22063120
3500390

prune55.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh000
Picked101
Done000
Total30232

Merged error: 0.0b

Counts
32 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
1.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify34.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04574
115265
294865
3500165

prune34.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh011
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))
0.6b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b
(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)))

series250.0ms

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))))
57.0ms
(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)))
62.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify174.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh011
Picked101
Done011
Total92496

Merged error: 0.0b

Counts
96 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
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)))
1.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

series246.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
57.0ms
(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
64.0ms
(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)))

simplify50.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0125672
1313628
21164620
35001620

prune261.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done011
Total64468

Merged error: 0.0b

Counts
68 → 4

regimes57.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b 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
485.0ms3450×body1280valid
215.0ms2559×body640valid
103.0ms11873×pre80true
60.0ms1196×body320valid
47.0ms4043×body80valid
20.0ms625×body160valid

Profiling

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