Details

Time bar (total: 4.5s)

sample63.0ms

Algorithm
intervals
Results
28.0ms55×body1280valid
10.0ms141×body80valid
8.0ms28×body640valid
3.0ms17×body320valid
2.0ms15×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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(* z (sin y))
3.0ms
(* x (cos y))

series70.0ms

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

simplify109.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0122157
1443137
21041137
31583137
43679137
55001137

prune116.0ms

Filtered
46 candidates to 32 candidates (69.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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))

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))

series453.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
103.0ms
(cbrt (cos y))
93.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune276.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (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))

rewrite18.0ms

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:
13.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series306.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
101.0ms
(cbrt (cos y))
153.0ms
(cbrt (pow (cos y) 2))

simplify39.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0244457
11097397
25001378

prune277.0ms

Filtered
86 candidates to 59 candidates (68.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(expm1 (log1p (pow (cos y) 2)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.3b
(cbrt (expm1 (log1p (pow (cos y) 2))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow
2×pow1/3
1×pow-to-exp expm1-log1p pow-pow pow-exp unpow2 expm1-udef sqr-pow
Counts
4 → 57
Calls
4 calls:
0.0ms
(expm1 (log1p (pow (cos y) 2)))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (expm1 (log1p (pow (cos y) 2))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(expm1 (log1p (pow (cos y) 2)))
16.0ms
(pow (cos y) 2)
101.0ms
(cbrt (cos y))
308.0ms
(cbrt (expm1 (log1p (pow (cos y) 2))))

simplify66.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0161302
1517252
21872244
35001240

prune240.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b 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
691.0ms1583×body1280valid
322.0ms1208×body640valid
247.0ms4295×body80valid
113.0ms635×body320valid
34.0ms279×body160valid