Details

Time bar (total: 4.6s)

sample61.0ms

Algorithm
intervals
Results
25.0ms62×body1280valid
11.0ms126×body80valid
9.0ms37×body640valid
3.0ms19×body320valid
1.0ms12×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0135
1215
2255
3255

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.2b
(* x (cos y))
0.2b
(* z (sin 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
(* x (cos y))
4.0ms
(* z (sin y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* x (cos y)) (* z (sin y)))
40.0ms
(* x (cos y))
37.0ms
(* z (sin y))

simplify64.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune163.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite14.0ms

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:
7.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series437.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms
(cbrt (cos y))
93.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))

simplify109.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune296.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sin y))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
4.0ms
(* z (sin y))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series314.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (sin y))
22.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))
159.0ms
(cbrt (pow (cos y) 2))

simplify97.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0214330
1728287
22956278
35001277

prune284.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (cbrt (cos y))))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 59
Calls
4 calls:
3.0ms
(log (exp (cbrt (cos y))))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series395.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(log (exp (cbrt (cos y))))
98.0ms
(cbrt (cos y))
103.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))

simplify116.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 4 (112.0ms)

IterNodesCost
084288
1193263
2542255
32641255
45001247

prune254.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample1.6s

Algorithm
intervals
Results
637.0ms1520×body1280valid
311.0ms1213×body640valid
243.0ms4325×body80valid
116.0ms621×body320valid
38.0ms321×body160valid