Details

Time bar (total: 3.1s)

sample63.0ms

Algorithm
intervals
Results
50.0ms472×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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
(* (* (fabs x) (fabs x)) (fabs x))
1.0b
(sqrt PI)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
62×pow1
19×add-exp-log add-cbrt-cube
18×pow-plus pow-prod-up
12×add-sqr-sqrt
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×pow2 pow-sqr
4×add-log-exp
3×associate-*l* pow3 sqrt-prod *-commutative unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 97
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
8.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series14.0ms

Counts
4 → 10
Calls
4 calls:
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify82.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0164423
1561288
22251278
35001260

prune122.0ms

Filtered
107 candidates to 52 candidates (51.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1043107
Fresh000
Picked101
Done000
Total1053108

Merged error: 0.1b

Counts
108 → 3

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.3b
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0b
(sqrt PI)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
16×add-exp-log add-sqr-sqrt add-cbrt-cube
13×pow-plus pow-prod-up
11×add-cube-cbrt *-un-lft-identity
9×associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×pow2 associate-*l* pow-sqr
4×add-log-exp
3×swap-sqr sqrt-prod *-commutative unswap-sqr
2×pow3
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 94
Calls
4 calls:
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
4.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0ms
(sqrt PI)

series14.0ms

Counts
4 → 10
Calls
4 calls:
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms
(sqrt PI)

simplify161.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (155.0ms)

IterNodesCost
0229490
1863366
24478301
35001279

prune176.0ms

Filtered
104 candidates to 52 candidates (50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh022
Picked011
Done000
Total1034107

Merged error: 0.1b

Counts
107 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series19.0ms

Counts
4 → 10
Calls
4 calls:
7.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify45.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0345600
11384423
25001411

prune176.0ms

Filtered
117 candidates to 63 candidates (46.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done011
Total1174121

Merged error: 0.1b

Counts
121 → 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))
0.2b
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0b
(sqrt PI)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
62×pow1
22×pow-prod-up
19×add-exp-log add-cbrt-cube
14×add-sqr-sqrt pow-plus
12×associate-*r*
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×sqrt-prod
6×pow2 pow-sqr
5×sqrt-pow1 pow1/2
4×add-log-exp unswap-sqr
3×associate-*l* *-commutative
2×pow3
1×rem-sqrt-square
Counts
4 → 100
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
7.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0ms
(sqrt PI)

series21.0ms

Counts
4 → 10
Calls
4 calls:
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
12.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.0ms
(sqrt PI)

simplify77.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0190454
1720336
22346323
35001293

prune128.0ms

Filtered
110 candidates to 56 candidates (49.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1073110
Fresh101
Picked101
Done022
Total1095114

Merged error: 0.1b

Counts
114 → 5

regimes94.0ms

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 (1.0ms)

IterNodesCost
04944
14944

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s13888×body80valid

Profiling

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