Details

Time bar (total: 4.0s)

sample45.0ms

Algorithm
intervals
Results
13.0ms33×body1280valid
9.0ms38×body640valid
7.0ms147×body80valid
4.0ms23×body320valid
2.0ms15×body160valid

simplify6.0ms

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: 0.2b

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))

rewrite13.0ms

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

series143.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* x (cos y)) (* z (sin y)))
35.0ms
(* x (cos y))
41.0ms
(* z (sin y))

simplify64.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune146.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New56965
Fresh000
Picked101
Done000
Total57966

Merged error: 0.1b

Counts
66 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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))

series445.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune252.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New90393
Fresh178
Picked011
Done000
Total9111102

Merged error: 0.0b

Counts
102 → 11

localize15.0ms

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)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite21.0ms

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))

series188.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (sin y))
35.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0304456
11308399
25001375

prune234.0ms

Filtered
92 candidates to 60 candidates (65.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh189
Picked011
Done011
Total9211103

Merged error: 0.0b

Counts
103 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (pow (cos y) 6))
0.5b
(pow (cos y) 6)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
7×pow1 prod-exp
6×unpow-prod-down associate-*r*
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-to-exp pow1/3 pow-exp sqr-pow
1×pow-pow unpow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 74
Calls
4 calls:
10.0ms
(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 6))
3.0ms
(pow (cos y) 6)

series195.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
104.0ms
(cbrt (cos y))
16.0ms
(cbrt (pow (cos y) 6))
40.0ms
(pow (cos y) 6)

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0264503
11160432
25001423

prune225.0ms

Filtered
86 candidates to 58 candidates (67.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh088
Picked011
Done022
Total861197

Merged error: 0.0b

Counts
97 → 11

regimes204.0ms

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
01811
11811

end0.0ms

sample1.5s

Algorithm
intervals
Results
600.0ms1452×body1280valid
311.0ms1239×body640valid
243.0ms4359×body80valid
109.0ms642×body320valid
36.0ms308×body160valid