Details

Time bar (total: 3.8s)

sample45.0ms

Algorithm
intervals
Results
18.0ms40×body1280valid
9.0ms178×body80valid
5.0ms21×body640valid
2.0ms14×body320valid
0.0ms3×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ x (sin y))
4.0ms
(* z (cos y))

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (sin y))
38.0ms
(* z (cos y))

simplify118.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0125129
1358114
2805114
31557114
44463114
55001114

prune85.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite12.0ms

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))

series460.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune250.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (pow (pow (cos y) 2) 1/3))
0.1b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
8.0ms
(* z (pow (pow (cos y) 2) 1/3))
10.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series254.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* z (pow (pow (cos y) 2) 1/3))
36.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
21.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0320575
11409501
25001468

prune289.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b
(cbrt (pow (cos y) 6))
0.3b
(cbrt (cos y))
0.6b
(pow (cos y) 6)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
7×pow1 prod-exp
6×unpow-prod-down associate-*r*
5×cbrt-unprod
4×add-log-exp
3×pow-unpow
2×pow-to-exp pow1/3 pow-exp sqr-pow
1×pow-pow unpow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 66
Calls
4 calls:
12.0ms
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
2.0ms
(cbrt (pow (cos y) 6))
1.0ms
(cbrt (cos y))
3.0ms
(pow (cos y) 6)

series194.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
17.0ms
(cbrt (pow (cos y) 6))
97.0ms
(cbrt (cos y))
40.0ms
(pow (cos y) 6)

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0253465
11130397
25001388

prune241.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.4s

Algorithm
intervals
Results
408.0ms820×body640valid
392.0ms965×body1280valid
287.0ms5605×body80valid
72.0ms411×body320valid
23.0ms199×body160valid