Details

Time bar (total: 5.5s)

sample56.0ms

Algorithm
intervals
Results
23.0ms56×body1280valid
10.0ms37×body640valid
8.0ms129×body80valid
4.0ms20×body320valid
2.0ms14×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

prune2.0ms

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

rewrite8.0ms

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:
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (sin y))
42.0ms
(* x (cos y))

simplify93.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122157
1443137
21041137
31583137
43679137
55001137

prune116.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

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 x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series737.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
183.0ms
(cbrt x)
178.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune289.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b
(cbrt (* x (cos y)))
0.6b
(cbrt (* x (cos y)))
0.6b
(cbrt (* x (cos y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
2.0ms
(cbrt (* x (cos y)))
2.0ms
(cbrt (* x (cos y)))
2.0ms
(cbrt (* x (cos y)))

series718.0ms

Counts
4 → 12
Calls
4 calls:
341.0ms
(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
128.0ms
(cbrt (* x (cos y)))
124.0ms
(cbrt (* x (cos y)))
124.0ms
(cbrt (* x (cos y)))

simplify125.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0179463
1700412
23661382
35001357

prune242.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 53
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
3.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(cbrt (cbrt x))

series831.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
169.0ms
(cbrt x)
258.0ms
(cbrt (* (cbrt x) (cbrt x)))
230.0ms
(cbrt (cbrt x))

simplify102.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (98.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45001204

prune241.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01414
11414

end0.0ms

sample1.6s

Algorithm
intervals
Results
648.0ms1550×body1280valid
331.0ms1204×body640valid
246.0ms4328×body80valid
124.0ms625×body320valid
36.0ms293×body160valid