Details

Time bar (total: 5.1s)

sample56.0ms

Algorithm
intervals
Results
24.0ms60×body1280valid
11.0ms44×body640valid
6.0ms123×body80valid
3.0ms20×body320valid
1.0ms9×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series157.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (* x (sin y)) (* z (cos y)))
37.0ms
(* z (cos y))
44.0ms
(* x (sin y))

simplify76.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0197270
1757245
22524245
35001244

prune159.0ms

Filtered
63 candidates to 46 candidates (73.0%)
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×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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series750.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt x) (cbrt x))
183.0ms
(cbrt x)
177.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune302.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

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:
6.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
3.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
126.0ms
(cbrt (* x (sin y)))
127.0ms
(cbrt (* x (sin y)))
133.0ms
(cbrt (* x (sin y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0195499
1648448
23141388
35002367

prune269.0ms

Filtered
78 candidates to 61 candidates (78.2%)
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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×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 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (* x (sin y)))
3.0ms
(cbrt (* x (sin y)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
100.0ms
(cbrt (sin y))
134.0ms
(cbrt (* x (sin y)))
126.0ms
(cbrt (* x (sin y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0164272
1354250
21116232
35001220

prune237.0ms

Filtered
60 candidates to 51 candidates (85.0%)
Pruning

10 alts after pruning (8 fresh and 2 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
02015
12015

end0.0ms

sample1.5s

Algorithm
intervals
Results
612.0ms1507×body1280valid
338.0ms1303×body640valid
241.0ms4264×body80valid
114.0ms604×body320valid
38.0ms322×body160valid