Details

Time bar (total: 5.3s)

sample61.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
10.0ms37×body640valid
9.0ms141×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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: 0.1b

Counts
2 → 1

localize10.0ms

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))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
9.0ms
(* x (cos y))

series138.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (* x (cos y)) (* z (sin y)))
35.0ms
(* z (sin y))
36.0ms
(* x (cos y))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune228.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New451156
Fresh000
Picked101
Done000
Total461157

Merged error: 0.0b

Counts
57 → 11

localize16.0ms

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)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×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)

series395.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (cbrt z) (cbrt z))
92.0ms
(cbrt z)
92.0ms
(cbrt z)
93.0ms
(cbrt z)

simplify88.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune395.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New81485
Fresh1910
Picked011
Done000
Total821496

Merged error: 0.0b

Counts
96 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series322.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
76.0ms
(cbrt (sin y))
77.0ms
(cbrt (sin y))
76.0ms
(cbrt (sin y))

simplify37.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0204581
1834525
25001481

prune440.0ms

Filtered
85 candidates to 68 candidates (80.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh21012
Picked101
Done011
Total861399

Merged error: 0.0b

Counts
99 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.6b
(cbrt (* z (sin y)))
8.6b
(cbrt (* z (sin y)))
8.6b
(cbrt (* z (sin y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
135.0ms
(cbrt (* z (sin y)))
133.0ms
(cbrt (* z (sin y)))
140.0ms
(cbrt (* z (sin y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0394842
11705785
25001760

prune337.0ms

Filtered
70 candidates to 56 candidates (80.0%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh01111
Picked011
Done011
Total691483

Merged error: 0.0b

Counts
83 → 14

regimes321.0ms

Accuracy

0% (0.5b 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
01510
11510

end0.0ms

sample1.8s

Algorithm
intervals
Results
679.0ms1560×body1280valid
333.0ms1240×body640valid
259.0ms4246×body80valid
119.0ms637×body320valid
45.0ms317×body160valid

Profiling

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