Details

Time bar (total: 4.7s)

sample41.0ms

Algorithm
intervals
Results
13.0ms31×body1280valid
10.0ms187×body80valid
5.0ms22×body640valid
2.0ms10×body320valid
1.0msbody160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2415
3575
4685
5865
61315
72145
82725
92965
103285
113965
123965

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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
add-sqr-sqrt
add-log-exp
add-cube-cbrt
pow1 add-exp-log fma-neg prod-diff add-cbrt-cube
associate-*r* associate-*l*
expm1-log1p-u diff-log log1p-expm1-u distribute-lft-out
sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (+ x (cos y)) (* z (sin y)))
41.0ms
(* z (sin y))

simplify82.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0179287
1653257
23467256
35001249

prune107.0ms

Filtered
50 candidates to 35 candidates (70.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46450
Fresh000
Picked011
Done000
Total46551

Merged error: 0.0b

Counts
51 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite11.0ms

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*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series721.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt z) (cbrt z))
173.0ms
(cbrt z)
178.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune227.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh033
Picked011
Done011
Total92698

Merged error: 0b

Counts
98 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (* (cbrt z) (cbrt z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt (cbrt z))
4.0ms
(cbrt (* (cbrt z) (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt z)
170.0ms
(cbrt z)
417.0ms
(cbrt (cbrt z))
272.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (97.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune209.0ms

Filtered
65 candidates to 58 candidates (89.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh033
Picked011
Done022
Total65671

Merged error: 0b

Counts
71 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sin y))
0.0b
(sqrt (sin y))
0.1b
(* z (sqrt (sin y)))
0.1b
(* (* z (sqrt (sin y))) (sqrt (sin y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
2.0ms
(sqrt (sin y))
2.0ms
(sqrt (sin y))
5.0ms
(* z (sqrt (sin y)))
7.0ms
(* (* z (sqrt (sin y))) (sqrt (sin y)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (sin y))
15.0ms
(sqrt (sin y))
52.0ms
(* z (sqrt (sin y)))
38.0ms
(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0216412
1927358
23932348
35002348

prune163.0ms

Filtered
89 candidates to 58 candidates (65.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done033
Total89695

Merged error: 0b

Counts
95 → 6

regimes110.0ms

Accuracy

0% (0.0b 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

sample1.4s

Algorithm
intervals
Results
454.0ms971×body1280valid
338.0ms5590×body80valid
240.0ms787×body640valid
83.0ms424×body320valid
31.0ms228×body160valid

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