Details

Time bar (total: 6.2s)

sample55.0ms

Algorithm
intervals
Results
18.0ms41×body1280valid
12.0ms44×body640valid
10.0ms141×body80valid
4.0ms20×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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:
0.0ms
(fma x (cos y) (* z (sin y)))
4.0ms
(* z (sin y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(fma x (cos y) (* z (sin y)))
42.0ms
(* z (sin y))

simplify52.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

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)))))
0.6b
(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))))

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:
5.0ms
(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.0ms
(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))))

series833.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
200.0ms
(cbrt (fma x (cos y) (* z (sin y))))
202.0ms
(cbrt (fma x (cos y) (* z (sin y))))
204.0ms
(cbrt (fma x (cos y) (* z (sin y))))

simplify124.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
02741020
1870937
24031843
35001824

prune508.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x (cos y) (* z (sin y))))
0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×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 → 46
Calls
4 calls:
0.0ms
(cbrt (fma x (cos y) (* z (sin y))))
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (fma x (cos y) (* z (sin y))))
218.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
224.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
221.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0244787
1617694
22015667
35001620

prune255.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
0.6b
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
3.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))

series917.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
228.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
236.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
228.0ms
(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0153852
1379744
21269716
35002664

prune279.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes161.0ms

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
683.0ms1559×body1280valid
336.0ms1182×body640valid
306.0ms4287×body80valid
142.0ms650×body320valid
45.0ms322×body160valid