Details

Time bar (total: 4.1s)

sample52.0ms

Algorithm
intervals
Results
21.0ms50×body1280valid
10.0ms37×body640valid
8.0ms143×body80valid
3.0ms18×body320valid
1.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0115
1115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* x (sin y))
5.0ms
(* z (cos y))

series147.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* x (sin y)) (* z (cos y)))
41.0ms
(* x (sin y))
36.0ms
(* z (cos y))

simplify71.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune143.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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))
2.0ms
(cbrt (cos y))

series444.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms
(cbrt (cos y))
98.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune266.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:
4.0ms
(* x (sin y))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series186.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* x (sin y))
38.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
95.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0294422
11280367
25001350

prune249.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow pow-exp unpow2 sqr-pow
Counts
4 → 51
Calls
4 calls:
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series300.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (cos y) 2)
96.0ms
(cbrt (cos y))
94.0ms
(cbrt (cos y))
94.0ms
(cbrt (cos y))

simplify57.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0111238
1390217
21415207
35002206

prune233.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

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
01810
11810

end0.0ms

sample1.5s

Algorithm
intervals
Results
634.0ms1491×body1280valid
316.0ms1292×body640valid
230.0ms4305×body80valid
106.0ms594×body320valid
38.0ms318×body160valid