Details

Time bar (total: 4.2s)

sample50.0ms

Algorithm
intervals
Results
20.0ms50×body1280valid
9.0ms38×body640valid
7.0ms143×body80valid
3.0ms15×body320valid
1.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.1b
(* z (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×sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
3.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series136.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (* x (cos y)) (* z (sin y)))
38.0ms
(* x (cos y))
35.0ms
(* z (sin y))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune135.0ms

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))

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))

series429.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
91.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
92.0ms
(cbrt (cos y))

simplify100.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune251.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:
17.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(* z (sin y))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series185.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
35.0ms
(* z (sin y))
22.0ms
(pow (cos y) 2)
93.0ms
(cbrt (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0294422
11280367
25001350

prune241.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:
21.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
2.0ms
(log (exp (cbrt (cos y))))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series429.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
95.0ms
(log (exp (cbrt (cos y))))
16.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0304645
11290531
25002506

prune290.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.5s

Algorithm
intervals
Results
648.0ms1586×body1280valid
308.0ms1228×body640valid
239.0ms4272×body80valid
105.0ms607×body320valid
36.0ms308×body160valid