Details

Time bar (total: 5.8s)

sample30.0ms

Algorithm
intervals
Results
7.0ms267×body80valid
7.0ms261×body80nan

simplify19.0ms

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

2 alts after pruning (2 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)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma (sqrt z) y x)

simplify61.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (59.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune60.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma (sqrt z) y x)

simplify63.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (61.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

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:
10.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms
(cbrt (fma (sqrt z) y x))
1.0ms
(cbrt (fma (sqrt z) y x))
1.0ms
(cbrt (fma (sqrt z) y x))

series1.1s

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
291.0ms
(cbrt (fma (sqrt z) y x))
284.0ms
(cbrt (fma (sqrt z) y x))
280.0ms
(cbrt (fma (sqrt z) y x))

simplify40.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0318868
11125805
25001760

prune701.0ms

Pruning

10 alts after pruning (8 fresh and 2 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))
0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(cbrt (cbrt (fma (sqrt z) y x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
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))
1.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
469.0ms
(cbrt (fma (sqrt z) y x))
289.0ms
(cbrt (fma (sqrt z) y x))
282.0ms
(cbrt (fma (sqrt z) y x))
289.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0278632
1806590
23166578
35002542

prune883.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes432.0ms

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
0155
1175
2175

end0.0ms

sample809.0ms

Algorithm
intervals
Results
234.0ms8548×body80valid
231.0ms8551×body80nan