Details

Time bar (total: 4.8s)

sample57.0ms

Algorithm
intervals
Results
25.0ms62×body1280valid
9.0ms37×body640valid
7.0ms126×body80valid
3.0ms19×body320valid
1.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (cos y) (* z (sin y)))
0.2b
(* z (sin y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x (cos y) (* z (sin y)))
4.0ms
(* z (sin y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(fma x (cos y) (* z (sin y)))
38.0ms
(* z (sin y))

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune109.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

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:
7.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series418.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
106.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))

simplify98.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune330.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (log1p (expm1 (cbrt (sin y)))) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×cbrt-prod
10×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log associate-*r*
5×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 63
Calls
4 calls:
5.0ms
(* (log1p (expm1 (cbrt (sin y)))) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series617.0ms

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (log1p (expm1 (cbrt (sin y)))) (cbrt (sin y)))
100.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))
102.0ms
(cbrt (sin y))

simplify63.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0167422
1453346
22132321
35002314

prune310.0ms

Filtered
75 candidates to 58 candidates (77.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize25.0ms

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 (sin y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
Calls
4 calls:
1.0ms
(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:
102.0ms
(cbrt (sin y))
104.0ms
(cbrt (sin y))
101.0ms
(cbrt (sin y))
103.0ms
(cbrt (sin y))

simplify54.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
062268
1132248
2334240
31067240
45001240

prune302.0ms

Filtered
64 candidates to 52 candidates (81.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.1b

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample1.6s

Algorithm
intervals
Results
654.0ms1520×body1280valid
312.0ms1213×body640valid
238.0ms4325×body80valid
115.0ms621×body320valid
38.0ms321×body160valid