Details

Time bar (total: 4.7s)

sample51.0ms

Algorithm
intervals
Results
19.0ms47×body1280valid
11.0ms44×body640valid
7.0ms134×body80valid
3.0ms20×body320valid
1.0ms11×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite13.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series145.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* x (cos y)) (* z (sin y)))
36.0ms
(* z (sin y))
41.0ms
(* x (cos y))

simplify63.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune159.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(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
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series722.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt z) (cbrt z))
174.0ms
(cbrt z)
174.0ms
(cbrt z)
172.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune287.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series411.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms
(cbrt (sin y))
104.0ms
(cbrt (sin y))
97.0ms
(cbrt (sin y))

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune280.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (cbrt (sin y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (cbrt (sin y)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))
97.0ms
(cbrt (sin y))
101.0ms
(cbrt (cbrt (sin y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0114310
1237288
2607280
32056280
45001280

prune261.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.5s

Algorithm
intervals
Results
663.0ms1562×body1280valid
308.0ms1250×body640valid
219.0ms4274×body80valid
103.0ms615×body320valid
34.0ms299×body160valid