Details

Time bar (total: 5.9s)

sample59.0ms

Algorithm
intervals
Results
25.0ms53×body1280valid
10.0ms38×body640valid
8.0ms138×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1154
2154

prune7.0ms

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:

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

rewrite5.0ms

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))

series111.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma x (cos y) (* z (sin y)))
43.0ms
(* z (sin y))

simplify50.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune96.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637

Merged error: 0.0b

Counts
37 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series779.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt z) (cbrt z))
184.0ms
(cbrt z)
192.0ms
(cbrt z)
186.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune269.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh044
Picked011
Done011
Total92799

Merged error: 0.0b

Counts
99 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (* (cbrt z) (cbrt z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt (cbrt z))
4.0ms
(cbrt (* (cbrt z) (cbrt z)))

series911.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt z)
187.0ms
(cbrt z)
260.0ms
(cbrt (cbrt z))
278.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (104.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune256.0ms

Filtered
65 candidates to 58 candidates (89.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh044
Picked011
Done022
Total65772

Merged error: 0.0b

Counts
72 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

series867.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
211.0ms
(cbrt (fma x (cos y) (* z (sin y))))
209.0ms
(cbrt (fma x (cos y) (* z (sin y))))
209.0ms
(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

prune280.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New90393
Fresh033
Picked101
Done033
Total919100

Merged error: 0.0b

Counts
100 → 9

regimes124.0ms

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

sample1.7s

Algorithm
intervals
Results
660.0ms1494×body1280valid
350.0ms1195×body640valid
269.0ms4320×body80valid
123.0ms650×body320valid
51.0ms341×body160valid

Profiling

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