Details

Time bar (total: 4.7s)

sample59.0ms

Algorithm
intervals
Results
23.0ms48×body1280valid
15.0ms54×body640valid
8.0ms131×body80valid
3.0ms17×body320valid
1.0msbody160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune3.0ms

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

localize9.0ms

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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series149.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (* x (cos y)) (* z (sin y)))
41.0ms
(* x (cos y))
39.0ms
(* z (sin y))

simplify64.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune128.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New48957
Fresh000
Picked011
Done000
Total481058

Merged error: 0.0b

Counts
58 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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))

series466.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune213.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh088
Picked101
Done011
Total841195

Merged error: 0.0b

Counts
95 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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))

series474.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms
(cbrt (cos y))
107.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify102.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune247.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh099
Picked011
Done011
Total851196

Merged error: 0.0b

Counts
96 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
125.0ms
(cbrt (* z (sin y)))
130.0ms
(cbrt (* z (sin y)))
125.0ms
(cbrt (* z (sin y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0190460
1631408
23021354
35001332

prune185.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New68270
Fresh088
Picked011
Done022
Total681381

Merged error: 0b

Counts
81 → 13

regimes200.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample1.6s

Algorithm
intervals
Results
660.0ms1545×body1280valid
335.0ms1262×body640valid
266.0ms4287×body80valid
115.0ms616×body320valid
38.0ms290×body160valid

Profiling

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