Details

Time bar (total: 4.3s)

sample60.0ms

Algorithm
intervals
Results
22.0ms54×body1280valid
15.0ms48×body640valid
7.0ms133×body80valid
2.0ms12×body320valid
1.0ms9×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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(* x (cos y))
9.0ms
(* z (sin y))

series77.0ms

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

simplify98.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune111.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series477.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
107.0ms
(cbrt (cos y))
105.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune277.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
9.0ms
(* z (sin y))
43.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series193.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (sin y))
34.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms
(pow (cos y) 2)
101.0ms
(cbrt (cos y))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0294422
11280367
25001350

prune253.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (exp (cbrt (cos y))))
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×log-pow
12×exp-prod
11×prod-exp add-cbrt-cube
10×associate-*r*
9×pow1 cbrt-prod log-prod
5×pow-exp cbrt-unprod
4×add-log-exp
3×distribute-rgt-in pow-to-exp unpow-prod-down pow-unpow distribute-lft-in
1×pow-pow unpow1/3 pow1/3 rem-log-exp associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 82
Calls
4 calls:
4.0ms
(log (exp (cbrt (cos y))))
48.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series272.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(log (exp (cbrt (cos y))))
41.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
17.0ms
(pow (cos y) 2)
107.0ms
(cbrt (cos y))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0304645
11290531
25001506

prune301.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample1.6s

Algorithm
intervals
Results
620.0ms1494×body1280valid
319.0ms1273×body640valid
245.0ms4263×body80valid
104.0ms632×body320valid
40.0ms338×body160valid