Details

Time bar (total: 6.3s)

sample30.0ms

Algorithm
intervals
Results
7.0ms276×body80valid
7.0ms280×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
2.0ms
(fma (sqrt z) y x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(fma (sqrt z) y x)

simplify63.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (60.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

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:
1.0ms
(cbrt (fma (sqrt z) y x))
1.0ms
(cbrt (fma (sqrt z) y x))
1.0ms
(cbrt (fma (sqrt z) y x))
6.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt (fma (sqrt z) y x))
314.0ms
(cbrt (fma (sqrt z) y x))
309.0ms
(cbrt (fma (sqrt z) y x))
235.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0318868
11133805
25001760

prune318.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (cbrt (fma (sqrt z) y x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
29×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 → 82
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt z) y x))
6.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
4.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
2.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt (fma (sqrt z) y x))
240.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
248.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
313.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0531961
11855895
25001838

prune380.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (cbrt (fma (sqrt z) y x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
22×add-sqr-sqrt
14×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 → 80
Calls
4 calls:
6.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
4.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
4.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
2.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
238.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
249.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
333.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04321006
11499930
25001872

prune522.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample993.0ms

Algorithm
intervals
Results
281.0ms8536×body80valid
278.0ms8781×body80nan