Details

Time bar (total: 4.4s)

sample53.0ms

Algorithm
intervals
Results
20.0ms47×body1280valid
11.0ms41×body640valid
8.0ms143×body80valid
3.0ms19×body320valid
1.0ms6×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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))

rewrite17.0ms

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:
7.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series146.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x (cos y)) (* z (sin y)))
36.0ms
(* x (cos y))
38.0ms
(* z (sin y))

simplify63.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune159.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New541165
Fresh000
Picked101
Done000
Total551166

Merged error: 0.1b

Counts
66 → 11

localize12.0ms

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))

series465.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune258.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New88593
Fresh01010
Picked101
Done000
Total8915104

Merged error: 0.0b

Counts
104 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

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

series196.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* z (sin y))
37.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0304456
11308399
25001375

prune255.0ms

Filtered
92 candidates to 60 candidates (65.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New89392
Fresh41014
Picked101
Done000
Total9413107

Merged error: 0.0b

Counts
107 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(log1p (cbrt (cos y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
11×prod-exp add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
5×expm1-log1p-u pow-exp cbrt-unprod
4×log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp unpow-prod-down pow-unpow associate-*r*
1×log1p-udef pow-pow unpow1/3 pow1/3 log1p-expm1 associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 68
Calls
4 calls:
8.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(log1p (cbrt (cos y)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
17.0ms
(pow (cos y) 2)
102.0ms
(cbrt (cos y))
163.0ms
(log1p (cbrt (cos y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0275487
11140380
25001360

prune214.0ms

Filtered
80 candidates to 51 candidates (63.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh01212
Picked011
Done000
Total801393

Merged error: 0.0b

Counts
93 → 13

regimes218.0ms

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
01912
11912

end0.0ms

sample1.6s

Algorithm
intervals
Results
647.0ms1487×body1280valid
325.0ms1215×body640valid
274.0ms4346×body80valid
116.0ms636×body320valid
40.0ms316×body160valid