Details

Time bar (total: 3.9s)

sample59.0ms

Algorithm
intervals
Results
42.0ms438×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

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

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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)

series102.0ms

Counts
4 → 10
Calls
4 calls:
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify48.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0340603
11373426
25002425

prune336.0ms

Filtered
117 candidates to 59 candidates (50.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1134117
Fresh000
Picked101
Done000
Total1144118

Merged error: 0.1b

Counts
118 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 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)))
2.0ms
(sqrt PI)

series94.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
21.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms
(sqrt PI)

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0405670
11675507
25001448

prune396.0ms

Filtered
114 candidates to 60 candidates (52.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh123
Picked011
Done000
Total1144118

Merged error: 0.1b

Counts
118 → 4

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))
0.1b
(* (/ 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)))
2.0ms
(sqrt PI)

series105.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
28.0ms
(* (* (fabs x) (fabs x)) (fabs x))
51.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify47.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0345600
11384423
25001411

prune363.0ms

Filtered
117 candidates to 63 candidates (53.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh112
Picked011
Done011
Total1174121

Merged error: 0.1b

Counts
121 → 4

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sqrt (fabs (pow (fabs x) 3/2))) 3)
1.0b
(sqrt PI)
17.5b
(sqrt (fabs (pow (fabs x) 3/2)))
17.5b
(sqrt (fabs (pow (fabs x) 3/2)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×pow1
6×unpow-prod-down cube-prod
5×add-exp-log add-cbrt-cube
4×sqrt-pow1 pow1/2 add-log-exp
3×rem-sqrt-square pow-unpow pow-pow
1×cube-mult pow-to-exp unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 71
Calls
4 calls:
3.0ms
(pow (sqrt (fabs (pow (fabs x) 3/2))) 3)
1.0ms
(sqrt PI)
2.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
2.0ms
(sqrt (fabs (pow (fabs x) 3/2)))

series70.0ms

Counts
4 → 10
Calls
4 calls:
43.0ms
(pow (sqrt (fabs (pow (fabs x) 3/2))) 3)
0.0ms
(sqrt PI)
15.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
12.0ms
(sqrt (fabs (pow (fabs x) 3/2)))

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0210453
1793417
25001409

prune315.0ms

Filtered
81 candidates to 45 candidates (55.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh011
Picked011
Done022
Total80585

Merged error: 0.1b

Counts
85 → 5

regimes90.0ms

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
04944
14944

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s14096×body80valid

Profiling

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