Details

Time bar (total: 4.4s)

sample59.0ms

Algorithm
intervals
Results
39.0ms456×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune5.0ms

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: 0.2b

Counts
2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 pow-sqr add-log-exp
3×cbrt-undiv div-exp sqrt-prod *-commutative
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 107
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series100.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
25.0ms
(* (* (fabs x) (fabs x)) (fabs x))
49.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify41.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0340603
11373426
25002425

prune396.0ms

Filtered
117 candidates to 59 candidates (50.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1125117
Fresh000
Picked101
Done000
Total1135118

Merged error: 0.1b

Counts
118 → 5

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 pow-sqr add-log-exp
3×cbrt-undiv div-exp sqrt-prod *-commutative
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 107
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
14.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series98.0ms

Counts
4 → 10
Calls
4 calls:
25.0ms
(* (* (fabs x) (fabs x)) (fabs x))
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
43.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify42.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0345600
11384423
25001411

prune436.0ms

Filtered
117 candidates to 63 candidates (53.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh044
Picked011
Done000
Total1175122

Merged error: 0.1b

Counts
122 → 5

localize40.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fabs x))
0.7b
(cbrt (fabs x))
0.7b
(cbrt (fabs x))
1.0b
(sqrt PI)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt (fabs x))
1.0ms
(cbrt (fabs x))
1.0ms
(cbrt (fabs x))
1.0ms
(sqrt PI)

series293.0ms

Counts
4 → 10
Calls
4 calls:
98.0ms
(cbrt (fabs x))
97.0ms
(cbrt (fabs x))
98.0ms
(cbrt (fabs x))
0.0ms
(sqrt PI)

simplify55.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
050198
1106180
2258172
31167170
45001170

prune310.0ms

Filtered
56 candidates to 42 candidates (75.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done011
Total56561

Merged error: 0.1b

Counts
61 → 5

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0b
(sqrt PI)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
40×pow1
32×add-exp-log add-cbrt-cube
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity associate-*l*
16×prod-exp cbrt-unprod
10×pow-prod-down
9×times-frac
7×pow-plus associate-*r* pow-prod-up
4×add-log-exp
3×cbrt-undiv pow2 swap-sqr div-exp sqrt-prod pow-sqr *-commutative
2×unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 associate-*l/ div-inv
Counts
4 → 104
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
4.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0ms
(sqrt PI)

series90.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
44.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
20.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms
(sqrt PI)

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0405670
11675507
25001448

prune443.0ms

Filtered
114 candidates to 60 candidates (52.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1122114
Fresh112
Picked011
Done022
Total1136119

Merged error: 0.1b

Counts
119 → 6

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04739
14739

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s13982×body80valid

Profiling

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