Details

Time bar (total: 4.2s)

sample64.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
13.0ms37×body640valid
9.0ms141×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 (sin y)) (* z (cos y)))
0.1b
(* x (sin y))
0.1b
(* z (cos y))

rewrite12.0ms

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:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* x (sin y))
4.0ms
(* z (cos y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* x (sin y))
8.0ms
(* z (cos y))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune179.0ms

Filtered
56 candidates to 40 candidates (28.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New441256
Fresh000
Picked101
Done000
Total451257

Merged error: 0.0b

Counts
57 → 12

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))

rewrite14.0ms

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:
8.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0125433
1507381
23313357
35001351

prune413.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New81485
Fresh2911
Picked011
Done000
Total831497

Merged error: 0.0b

Counts
97 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
7.0ms
(* z (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series50.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* z (pow (pow (cos y) 2) 1/3))
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
19.0ms
(cbrt (cos y))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0320572
11417499
25002468

prune443.0ms

Filtered
102 candidates to 62 candidates (39.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh21012
Picked011
Done011
Total10313116

Merged error: 0.0b

Counts
116 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (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)
0.3b
(cbrt (cos y))

rewrite22.0ms

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×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 → 82
Calls
4 calls:
13.0ms
(* (* z (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)
1.0ms
(cbrt (cos y))

series44.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
17.0ms
(log (exp (cbrt (cos y))))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0307643
11337529
25001506

prune368.0ms

Filtered
94 candidates to 61 candidates (35.1%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh1910
Picked011
Done022
Total9413107

Merged error: 0.0b

Counts
107 → 13

regimes408.0ms

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
01810
11810

end0.0ms

sample1.7s

Algorithm
intervals
Results
660.0ms1561×body1280valid
324.0ms1241×body640valid
235.0ms4244×body80valid
119.0ms638×body320valid
44.0ms316×body160valid

Profiling

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