Details

Time bar (total: 5.1s)

sample54.0ms

Algorithm
intervals
Results
20.0ms47×body1280valid
11.0ms40×body640valid
8.0ms137×body80valid
4.0ms20×body320valid
2.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (cos y) (* z (sin y)))
0.1b
(* z (sin 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 (cos y) (* z (sin y)))
4.0ms
(* z (sin y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(fma x (cos y) (* z (sin y)))
38.0ms
(* z (sin y))

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune88.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0.1b

Counts
37 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite15.0ms

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:
9.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series420.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
102.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))
101.0ms
(cbrt (sin y))

simplify105.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune250.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh033
Picked101
Done011
Total92698

Merged error: 0.1b

Counts
98 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (expm1 (log1p (cbrt (sin y)))))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×cbrt-prod
10×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log associate-*l*
5×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 63
Calls
4 calls:
5.0ms
(* (cbrt (sin y)) (expm1 (log1p (cbrt (sin y)))))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series618.0ms

Counts
4 → 12
Calls
4 calls:
311.0ms
(* (cbrt (sin y)) (expm1 (log1p (cbrt (sin y)))))
100.0ms
(cbrt (sin y))
103.0ms
(cbrt (sin y))
103.0ms
(cbrt (sin y))

simplify58.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0163424
1433343
21942316
35001311

prune234.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh044
Picked011
Done011
Total75681

Merged error: 0.1b

Counts
81 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.6b
(cbrt (fma x (cos y) (* z (sin y))))
0.6b
(cbrt (fma x (cos y) (* z (sin y))))
0.6b
(cbrt (fma x (cos y) (* z (sin 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:
5.0ms
(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms
(cbrt (fma x (cos y) (* z (sin y))))
1.0ms
(cbrt (fma x (cos y) (* z (sin y))))
1.0ms
(cbrt (fma x (cos y) (* z (sin y))))

series862.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
210.0ms
(cbrt (fma x (cos y) (* z (sin y))))
207.0ms
(cbrt (fma x (cos y) (* z (sin y))))
212.0ms
(cbrt (fma x (cos y) (* z (sin y))))

simplify120.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
02741020
1870937
24031843
35001824

prune262.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New89493
Fresh033
Picked011
Done022
Total891099

Merged error: 0.0b

Counts
99 → 10

regimes133.0ms

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

sample1.6s

Algorithm
intervals
Results
671.0ms1520×body1280valid
342.0ms1266×body640valid
248.0ms4269×body80valid
117.0ms627×body320valid
45.0ms318×body160valid

Profiling

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