Details

Time bar (total: 4.7s)

sample59.0ms

Algorithm
intervals
Results
22.0ms56×body1280valid
13.0ms36×body640valid
8.0ms129×body80valid
4.0ms22×body320valid
2.0ms13×body160valid

simplify4.0ms

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
(* z (cos y))
0.1b
(* x (sin 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
(* z (cos y))
4.0ms
(* x (sin y))

series155.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (* x (sin y)) (* z (cos y)))
41.0ms
(* z (cos y))
37.0ms
(* x (sin y))

simplify75.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune161.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite14.0ms

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))

series469.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))
103.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
13.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series322.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
101.0ms
(cbrt (cos y))
161.0ms
(cbrt (pow (cos y) 2))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0233421
11069364
25001345

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (cos y)))
0.3b
(cbrt (pow (cbrt (cos y)) 2))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×unpow2 sqr-pow
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (pow (cbrt (cos y)) 2))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series430.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (cbrt (cos y)))
116.0ms
(cbrt (pow (cbrt (cos y)) 2))
101.0ms
(cbrt (cos y))
107.0ms
(cbrt (cos y))

simplify58.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0152353
1437330
21433311
35002311

prune509.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.6s

Algorithm
intervals
Results
657.0ms1553×body1280valid
307.0ms1199×body640valid
241.0ms4330×body80valid
109.0ms629×body320valid
39.0ms289×body160valid