Details

Time bar (total: 4.3s)

sample51.0ms

Algorithm
intervals
Results
22.0ms55×body1280valid
7.0ms141×body80valid
7.0ms28×body640valid
3.0ms17×body320valid
2.0ms15×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

series107.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(fma x (cos y) (* z (sin y)))
37.0ms
(* z (sin y))

simplify50.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune96.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

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

series421.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
100.0ms
(cbrt (sin y))
99.0ms
(cbrt (sin y))
99.0ms
(cbrt (sin y))

simplify94.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune290.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.7b
(cbrt (cbrt (sin y)))

rewrite4.0ms

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

series407.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (sin y))
107.0ms
(cbrt (sin y))
99.0ms
(cbrt (sin y))
99.0ms
(cbrt (cbrt (sin y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0114310
1237288
2607280
32056280
45001280

prune285.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

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 (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))

series410.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (sin y))
102.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))

simplify49.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
062268
1132248
2334240
31067240
45001240

prune258.0ms

Filtered
64 candidates to 52 candidates (81.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes98.0ms

Accuracy

0% (0.0b 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
675.0ms1583×body1280valid
304.0ms1208×body640valid
237.0ms4295×body80valid
108.0ms635×body320valid
33.0ms279×body160valid