Details

Time bar (total: 4.2s)

sample46.0ms

Algorithm
intervals
Results
12.0ms180×body80valid
12.0ms26×body1280valid
8.0ms27×body640valid
3.0ms13×body320valid
1.0ms10×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)) (* z (cos y)))
0.1b
(* z (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* sum-log
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
15.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(* z (cos y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (+ x (sin y)) (* z (cos y)))
39.0ms
(* z (cos y))

simplify65.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune90.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite10.0ms

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))

series470.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
102.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))
107.0ms
(cbrt (cos y))

simplify112.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0122441
1481389
23731357
35002351

prune227.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))
0.3b
(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))

series455.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))
303.0ms
(cbrt (pow (cos y) 2))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0233421
11069364
25001345

prune219.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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 (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cbrt (cos y)) 2))
1.0ms
(cbrt (cbrt (cos y)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
115.0ms
(cbrt (pow (cbrt (cos y)) 2))
96.0ms
(cbrt (cbrt (cos y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0152353
1436330
21430311
35001311

prune280.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.4s

Algorithm
intervals
Results
478.0ms999×body1280valid
364.0ms5552×body80valid
254.0ms850×body640valid
92.0ms403×body320valid
29.0ms196×body160valid