Details

Time bar (total: 4.4s)

sample56.0ms

Algorithm
intervals
Results
25.0ms53×body1280valid
8.0ms140×body80valid
7.0ms30×body640valid
3.0ms17×body320valid
2.0ms16×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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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 (sin y) (* z (cos y)))
3.0ms
(* z (cos y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(fma x (sin y) (* z (cos y)))
35.0ms
(* z (cos y))

simplify50.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
085150
1280130
2715130
31541130
45001130

prune98.0ms

Filtered
36 candidates to 28 candidates (77.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

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×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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series439.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))

simplify106.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune283.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 74
Calls
4 calls:
15.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series301.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))
152.0ms
(cbrt (pow (cos y) 2))

simplify40.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0244457
11097397
25001378

prune463.0ms

Filtered
86 candidates to 58 candidates (67.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (pow (cos y) 6))
0.3b
(cbrt (cbrt (pow (cos y) 6)))
0.5b
(pow (cos y) 6)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3 sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 6))
4.0ms
(cbrt (cbrt (pow (cos y) 6)))
1.0ms
(pow (cos y) 6)

series310.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (cos y))
16.0ms
(cbrt (pow (cos y) 6))
154.0ms
(cbrt (cbrt (pow (cos y) 6)))
40.0ms
(pow (cos y) 6)

simplify127.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0186414
1582358
22671349
35001315

prune274.0ms

Filtered
81 candidates to 58 candidates (71.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes79.0ms

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
653.0ms1580×body1280valid
317.0ms1208×body640valid
247.0ms4295×body80valid
114.0ms637×body320valid
34.0ms280×body160valid