Details

Time bar (total: 4.4s)

sample56.0ms

Algorithm
intervals
Results
25.0ms62×body1280valid
9.0ms37×body640valid
7.0ms126×body80valid
3.0ms19×body320valid
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.2b
(* x (cos y))
0.2b
(* 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×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
3.0ms
(+ (* x (cos y)) (* z (sin y)))
3.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series146.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (* x (cos y)) (* z (sin y)))
35.0ms
(* x (cos y))
43.0ms
(* z (sin y))

simplify74.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune143.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

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))

series447.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune276.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
3.0ms
(* z (sin y))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series312.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (sin y))
17.0ms
(pow (cos y) 2)
101.0ms
(cbrt (cos y))
157.0ms
(cbrt (pow (cos y) 2))

simplify95.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0203304
1699264
22842255
35002254

prune248.0ms

Filtered
75 candidates to 50 candidates (66.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (cbrt (cos y))))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 51
Calls
4 calls:
2.0ms
(log (exp (cbrt (cos y))))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series402.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(log (exp (cbrt (cos y))))
99.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify117.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 4 (113.0ms)

IterNodesCost
079264
1183239
2525231
32521231
45001227

prune218.0ms

Filtered
63 candidates to 49 candidates (77.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

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

sample1.5s

Algorithm
intervals
Results
629.0ms1520×body1280valid
319.0ms1213×body640valid
251.0ms4325×body80valid
113.0ms621×body320valid
38.0ms321×body160valid