Details

Time bar (total: 5.1s)

sample57.0ms

Algorithm
intervals
Results
25.0ms60×body1280valid
11.0ms44×body640valid
6.0ms123×body80valid
3.0ms20×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0115
1115

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.2b
(* x (sin y))

rewrite13.0ms

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×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series151.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ (* x (sin y)) (* z (cos y)))
40.0ms
(* z (cos y))
38.0ms
(* x (sin y))

simplify73.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune141.0ms

Filtered
56 candidates to 40 candidates (71.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite11.0ms

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

series749.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
174.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune274.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.3b
(cbrt (* x (sin y)))
7.3b
(cbrt (* x (sin y)))
7.3b
(cbrt (* x (sin y)))

rewrite14.0ms

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×swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))

series534.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
125.0ms
(cbrt (* x (sin y)))
132.0ms
(cbrt (* x (sin y)))
123.0ms
(cbrt (* x (sin y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0190460
1631408
23033348
35001326

prune235.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (sin y))
7.3b
(cbrt (* x (sin y)))
7.3b
(cbrt (* x (sin y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (sin y))
3.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))

series535.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
97.0ms
(cbrt (sin y))
130.0ms
(cbrt (* x (sin y)))
124.0ms
(cbrt (* x (sin y)))

simplify153.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0157246
1340224
21079206
34922196
45003196

prune197.0ms

Filtered
52 candidates to 43 candidates (82.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample1.6s

Algorithm
intervals
Results
628.0ms1507×body1280valid
349.0ms1303×body640valid
242.0ms4264×body80valid
105.0ms604×body320valid
44.0ms322×body160valid