Details

Time bar (total: 5.1s)

sample52.0ms

Algorithm
intervals
Results
20.0ms49×body1280valid
9.0ms35×body640valid
8.0ms145×body80valid
3.0ms18×body320valid
1.0msbody160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1195
2195

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.1b
(* z (sin y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
3.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series158.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (* x (cos y)) (* z (sin y)))
38.0ms
(* x (cos y))
45.0ms
(* z (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune155.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series556.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
134.0ms
(cbrt (* z (sin y)))
131.0ms
(cbrt (* z (sin y)))
130.0ms
(cbrt (* z (sin y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0190460
1631409
23021358
35002336

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series581.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt z)
113.0ms
(cbrt (sin y))
138.0ms
(cbrt (* z (sin y)))
135.0ms
(cbrt (* z (sin y)))

simplify172.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0157246
1340224
21079206
34922196
45003196

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt z)
112.0ms
(cbrt (sin y))
143.0ms
(cbrt (* z (sin y)))
131.0ms
(cbrt (* z (sin y)))

simplify158.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0157246
1340224
21079206
34922196
45003196

prune215.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample1.6s

Algorithm
intervals
Results
653.0ms1515×body1280valid
342.0ms1240×body640valid
256.0ms4320×body80valid
108.0ms618×body320valid
38.0ms307×body160valid