Details

Time bar (total: 4.6s)

sample57.0ms

Algorithm
intervals
Results
23.0ms53×body1280valid
11.0ms41×body640valid
7.0ms125×body80valid
4.0ms23×body320valid
2.0ms14×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
7.0ms
(* x (cos y))

series140.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (* x (cos y)) (* z (sin y)))
36.0ms
(* z (sin y))
35.0ms
(* x (cos y))

simplify64.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune158.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New541165
Fresh000
Picked101
Done000
Total551166

Merged error: 0.0b

Counts
66 → 11

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))

rewrite12.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
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))

series646.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
296.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))
94.0ms
(cbrt (cos y))

simplify104.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune235.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh01010
Picked101
Done000
Total9212104

Merged error: 0.0b

Counts
104 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 98
Calls
4 calls:
8.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series241.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (pow (pow (cos y) 2) 1/3))
40.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
93.0ms
(cbrt (cos y))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0330610
11447529
25001498

prune278.0ms

Filtered
110 candidates to 70 candidates (63.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh01111
Picked101
Done000
Total10913122

Merged error: 0.0b

Counts
122 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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))

rewrite20.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 90
Calls
4 calls:
11.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
3.0ms
(log (exp (cbrt (cos y))))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series252.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
96.0ms
(log (exp (cbrt (cos y))))
16.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0314683
11318566
25001534

prune276.0ms

Filtered
102 candidates to 70 candidates (68.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh01212
Picked011
Done000
Total10213115

Merged error: 0.0b

Counts
115 → 13

regimes210.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01912
11912

end0.0ms

sample1.7s

Algorithm
intervals
Results
673.0ms1554×body1280valid
349.0ms1206×body640valid
269.0ms4268×body80valid
126.0ms646×body320valid
43.0ms326×body160valid