Details

Time bar (total: 4.3s)

sample56.0ms

Algorithm
intervals
Results
21.0ms47×body1280valid
11.0ms40×body640valid
8.0ms137×body80valid
4.0ms20×body320valid
2.0ms12×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))

rewrite18.0ms

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))
8.0ms
(* x (cos y))

series146.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x (cos y)) (* z (sin y)))
36.0ms
(* z (sin y))
37.0ms
(* x (cos y))

simplify65.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune160.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New551065
Fresh000
Picked101
Done000
Total561066

Merged error: 0.0b

Counts
66 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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
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))
2.0ms
(cbrt (cos y))

series471.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
106.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))

simplify106.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune257.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh099
Picked101
Done000
Total9112103

Merged error: 0.0b

Counts
103 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.1b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.4b
(cbrt (cos y))

rewrite19.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 80
Calls
4 calls:
4.0ms
(* z (sin y))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series195.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* z (sin y))
41.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
100.0ms
(cbrt (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0304456
11308399
25001375

prune263.0ms

Filtered
92 candidates to 60 candidates (65.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New90292
Fresh2911
Picked011
Done000
Total9212104

Merged error: 0.0b

Counts
104 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.2b
(log (exp (cbrt (cos y))))
0.3b
(pow (cos y) 2)
0.4b
(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)))))
2.0ms
(log (exp (cbrt (cos y))))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series262.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
101.0ms
(log (exp (cbrt (cos y))))
16.0ms
(pow (cos y) 2)
106.0ms
(cbrt (cos y))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0314683
11318566
25001534

prune288.0ms

Filtered
102 candidates to 69 candidates (67.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh01010
Picked011
Done011
Total10212114

Merged error: 0.0b

Counts
114 → 12

regimes141.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.6s

Algorithm
intervals
Results
666.0ms1520×body1280valid
347.0ms1266×body640valid
254.0ms4269×body80valid
128.0ms627×body320valid
45.0ms318×body160valid

Profiling

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