Details

Time bar (total: 5.1s)

sample54.0ms

Algorithm
intervals
Results
21.0ms54×body1280valid
11.0ms46×body640valid
7.0ms134×body80valid
2.0ms12×body320valid
1.0ms10×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

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))
0.2b
(* z (cos y))

rewrite33.0ms

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:
10.0ms
(+ (* x (sin y)) (* z (cos y)))
13.0ms
(* x (sin y))
8.0ms
(* z (cos y))

series159.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (* x (sin y)) (* z (cos y)))
43.0ms
(* x (sin y))
39.0ms
(* z (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))))
7.2b
(cbrt (* x (sin y)))
7.2b
(cbrt (* x (sin y)))
7.2b
(cbrt (* x (sin y)))

rewrite36.0ms

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:
21.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
5.0ms
(cbrt (* x (sin y)))
4.0ms
(cbrt (* x (sin y)))
5.0ms
(cbrt (* x (sin y)))

series741.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
128.0ms
(cbrt (* x (sin y)))
122.0ms
(cbrt (* x (sin y)))
338.0ms
(cbrt (* x (sin y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0190460
1631408
23033348
35001326

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

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:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series746.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt x) (cbrt x))
181.0ms
(cbrt x)
181.0ms
(cbrt x)
184.0ms
(cbrt x)

simplify94.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune249.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite20.0ms

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:
14.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series418.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms
(cbrt (sin y))
107.0ms
(cbrt (sin y))
97.0ms
(cbrt (sin y))

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune229.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes97.0ms

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
01514
11514

end0.0ms

sample1.6s

Algorithm
intervals
Results
599.0ms1483×body1280valid
325.0ms1288×body640valid
229.0ms4268×body80valid
110.0ms644×body320valid
42.0ms317×body160valid