Details

Time bar (total: 4.6s)

sample55.0ms

Algorithm
intervals
Results
24.0ms62×body1280valid
9.0ms37×body640valid
7.0ms126×body80valid
3.0ms19×body320valid
1.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.2b
(* x (cos y))
0.2b
(* z (sin y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×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))
3.0ms
(* z (sin y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* x (cos y)) (* z (sin y)))
35.0ms
(* x (cos y))
41.0ms
(* z (sin y))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune141.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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×add-cbrt-cube 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 → 73
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))

series447.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify100.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune264.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sin y))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
3.0ms
(* z (sin y))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series312.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (sin y))
16.0ms
(pow (cos y) 2)
103.0ms
(cbrt (cos y))
158.0ms
(cbrt (pow (cos y) 2))

simplify92.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0203304
1700264
22843255
35001254

prune249.0ms

Filtered
75 candidates to 50 candidates (66.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (cbrt (cos y))))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 51
Calls
4 calls:
2.0ms
(log (exp (cbrt (cos y))))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series394.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(log (exp (cbrt (cos y))))
97.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify112.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 4 (108.0ms)

IterNodesCost
079264
1183239
2525231
32521231
45001227

prune207.0ms

Filtered
63 candidates to 49 candidates (77.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes366.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample1.5s

Algorithm
intervals
Results
628.0ms1520×body1280valid
300.0ms1213×body640valid
239.0ms4325×body80valid
104.0ms621×body320valid
42.0ms321×body160valid