Details

Time bar (total: 5.0s)

sample57.0ms

Algorithm
intervals
Results
19.0ms44×body1280valid
13.0ms152×body80valid
10.0ms35×body640valid
3.0ms15×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1154
2154

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x (sin y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x (sin y) (* z (cos y)))
4.0ms
(* z (cos y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(fma x (sin y) (* z (cos y)))
36.0ms
(* z (cos y))

simplify51.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
085150
1280130
2715130
31541130
45001130

prune97.0ms

Filtered
36 candidates to 28 candidates (77.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737

Merged error: 0.0b

Counts
37 → 7

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))

series448.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune245.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91293
Fresh145
Picked011
Done011
Total928100

Merged error: 0.0b

Counts
100 → 8

localize20.0ms

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

rewrite24.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 98
Calls
4 calls:
8.0ms
(* 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))

series254.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* z (pow (pow (cos y) 2) 1/3))
44.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0330610
11447529
25001498

prune277.0ms

Filtered
110 candidates to 69 candidates (62.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh145
Picked011
Done022
Total1108118

Merged error: 0.0b

Counts
118 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
0.5b
(cbrt (fma x (sin y) (* z (cos y))))
0.5b
(cbrt (fma x (sin y) (* z (cos y))))
0.5b
(cbrt (fma x (sin y) (* z (cos y))))

rewrite11.0ms

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 (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms
(cbrt (fma x (sin y) (* z (cos y))))
1.0ms
(cbrt (fma x (sin y) (* z (cos y))))
1.0ms
(cbrt (fma x (sin y) (* z (cos y))))

series831.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
201.0ms
(cbrt (fma x (sin y) (* z (cos y))))
201.0ms
(cbrt (fma x (sin y) (* z (cos y))))
199.0ms
(cbrt (fma x (sin y) (* z (cos y))))

simplify166.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0216972
1851889
24601816
35001816

prune257.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New91293
Fresh134
Picked011
Done033
Total929101

Merged error: 0.0b

Counts
101 → 9

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample1.8s

Algorithm
intervals
Results
663.0ms1499×body1280valid
453.0ms4270×body80valid
352.0ms1274×body640valid
124.0ms649×body320valid
40.0ms308×body160valid