Details

Time bar (total: 3.0s)

sample43.0ms

Algorithm
intervals
Results
17.0ms109×body1280valid
8.0ms86×body640valid
4.0ms385×pre80true
2.0ms39×body320valid
2.0ms137×body80valid
1.0ms14×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune1.0ms

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: 58.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.9b
(- (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)

series15.0ms

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

simplify61.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0140205
1403130
22063120
3500390

prune51.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh000
Picked011
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(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

prune30.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New12113
Fresh011
Picked011
Done011
Total12416

Merged error: 0.0b

Counts
16 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.0b
(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity
3×pow1 log-prod exp-sum
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
1×log-pow fma-udef rem-exp-log
Counts
2 → 27
Calls
2 calls:
1.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
2.0ms
(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series57.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
31.0ms
(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify36.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
079197
1205179
21034170
35001164

prune73.0ms

Filtered
33 candidates to 22 candidates (66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New32133
Fresh011
Picked101
Done022
Total33437

Merged error: 0.0b

Counts
37 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.3b
(* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))
1.7b
(exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))))
3.0b
(pow (exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
24×add-sqr-sqrt
20×pow1
18×*-un-lft-identity
16×add-cube-cbrt
9×swap-sqr
8×log-pow
7×pow-unpow pow1/3 associate-*r* associate-*l* add-log-exp
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u unswap-sqr
3×unpow-prod-down pow-pow
2×exp-prod exp-to-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod rem-exp-log sqr-pow
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
6.0ms
(* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))
2.0ms
(exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))))
4.0ms
(pow (exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
135.0ms
(* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))
174.0ms
(exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))))
330.0ms
(pow (exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015363124
150012882

prune434.0ms

Filtered
110 candidates to 79 candidates (71.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh011
Picked101
Done022
Total1104114

Merged error: 0.0b

Counts
114 → 4

regimes54.0ms

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

sample1.3s

Algorithm
intervals
Results
559.0ms3547×body1280valid
239.0ms2471×body640valid
129.0ms11905×pre80true
73.0ms1209×body320valid
60.0ms4087×body80valid
23.0ms591×body160valid