Details

Time bar (total: 7.2s)

sample61.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
10.0ms37×body640valid
9.0ms141×body80valid
3.0ms18×body320valid
1.0msbody160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune5.0ms

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

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series186.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (* x (cos y)) (* z (sin y)))
51.0ms
(* z (sin y))
48.0ms
(* x (cos y))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune173.0ms

Filtered
57 candidates to 39 candidates (31.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New461157
Fresh000
Picked101
Done000
Total471158

Merged error: 0.0b

Counts
58 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt z) (cbrt z))
403.0ms
(cbrt z)
206.0ms
(cbrt z)
205.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune366.0ms

Filtered
85 candidates to 64 candidates (24.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh01010
Picked011
Done000
Total841296

Merged error: 0.0b

Counts
96 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))

series1.0s

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt z)
214.0ms
(cbrt z)
326.0ms
(cbrt (* (cbrt z) (cbrt z)))
291.0ms
(cbrt (cbrt z))

simplify107.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (102.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune456.0ms

Filtered
57 candidates to 50 candidates (12.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh01010
Picked011
Done011
Total571269

Merged error: 0.0b

Counts
69 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series887.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt x) (cbrt x))
214.0ms
(cbrt x)
218.0ms
(cbrt x)
212.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune312.0ms

Filtered
85 candidates to 64 candidates (24.7%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh189
Picked011
Done022
Total851297

Merged error: 0.0b

Counts
97 → 12

regimes453.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample1.8s

Algorithm
intervals
Results
671.0ms1560×body1280valid
339.0ms1240×body640valid
254.0ms4246×body80valid
123.0ms637×body320valid
41.0ms317×body160valid

Profiling

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