Details

Time bar (total: 5.8s)

sample63.0ms

Algorithm
intervals
Results
21.0ms47×body1280valid
15.0ms144×body80valid
11.0ms39×body640valid
4.0ms18×body320valid
1.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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 (sin y)) (* z (cos y)))
0.1b
(* x (sin y))
0.1b
(* z (cos 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×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
3.0ms
(+ (* x (sin y)) (* z (cos y)))
3.0ms
(* x (sin y))
3.0ms
(* z (cos y))

series166.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (* x (sin y)) (* z (cos y)))
40.0ms
(* x (sin y))
44.0ms
(* z (cos y))

simplify77.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune153.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(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×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))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series772.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt x) (cbrt x))
191.0ms
(cbrt x)
186.0ms
(cbrt x)
186.0ms
(cbrt x)

simplify96.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune275.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series776.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt x)
191.0ms
(cbrt x)
193.0ms
(cbrt x)
194.0ms
(cbrt x)

simplify134.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune248.0ms

Pruning

9 alts after pruning (7 fresh and 2 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))))
8.2b
(cbrt (* x (sin y)))
8.2b
(cbrt (* x (sin y)))
8.2b
(cbrt (* x (sin y)))

rewrite12.0ms

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:
6.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))

series598.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
136.0ms
(cbrt (* x (sin y)))
144.0ms
(cbrt (* x (sin y)))
141.0ms
(cbrt (* x (sin y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0190460
1631408
23033348
35001326

prune222.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01915
11915

end0.0ms

sample1.8s

Algorithm
intervals
Results
688.0ms1466×body1280valid
377.0ms1266×body640valid
374.0ms4337×body80valid
131.0ms630×body320valid
54.0ms301×body160valid