Details

Time bar (total: 5.8s)

sample28.0ms

Algorithm
intervals
Results
7.0ms269×body80valid
6.0ms270×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune6.0ms

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)

rewrite1.0ms

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:
0.0ms
(fma (sqrt z) y x)

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma (sqrt z) y x)

simplify59.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (57.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.5b
(cbrt (fma (sqrt z) y x))
0.5b
(cbrt (fma (sqrt z) y x))
0.5b
(cbrt (fma (sqrt z) y x))

rewrite9.0ms

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 (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.0ms
(cbrt (fma (sqrt z) y x))
0.0ms
(cbrt (fma (sqrt z) y x))
1.0ms
(cbrt (fma (sqrt z) y x))

series1.1s

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
302.0ms
(cbrt (fma (sqrt z) y x))
307.0ms
(cbrt (fma (sqrt z) y x))
312.0ms
(cbrt (fma (sqrt z) y x))

simplify41.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0318868
11125805
25001760

prune299.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (sqrt z) y x))
0.5b
(* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x))))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
59×cbrt-prod
35×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt z) y x))
13.0ms
(* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x))))
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

series1.0s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt (fma (sqrt z) y x))
241.0ms
(* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x))))
234.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
240.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

simplify48.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03571284
111831193
250021111

prune431.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x)))))
0.6b
(cbrt (cbrt (cbrt (fma (sqrt z) y x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
7×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 → 52
Calls
4 calls:
2.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
2.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
3.0ms
(cbrt (* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x)))))
1.0ms
(cbrt (cbrt (cbrt (fma (sqrt z) y x))))

series1.0s

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
240.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
241.0ms
(cbrt (* (cbrt (cbrt (fma (sqrt z) y x))) (cbrt (cbrt (fma (sqrt z) y x)))))
326.0ms
(cbrt (cbrt (cbrt (fma (sqrt z) y x))))

simplify133.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0401853
11211775
24608767
35001752

prune353.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes188.0ms

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
0104
1104

end0.0ms

sample783.0ms

Algorithm
intervals
Results
239.0ms8548×body80valid
211.0ms8428×body80nan