Details

Time bar (total: 3.8s)

sample26.0ms

Algorithm
intervals
Results
8.0ms275×body80nan
6.0ms280×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1253
2443
3693
41023
51713
61923
72253
83163
93513
103513

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) y (- 1.0 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 x) y (- 1.0 x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (sqrt x) y (- 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 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:
6.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
131.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
131.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
138.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify113.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0238888
1755823
23353765
35001747

prune253.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 52
Calls
4 calls:
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

series526.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
131.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
129.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
135.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify156.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (150.0ms)

IterNodesCost
0129548
1304512
2997504
34408468
45001432

prune256.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.8b
(pow (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) 5)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
3.0ms
(pow (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) 5)

series689.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
135.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
129.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
294.0ms
(pow (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) 5)

simplify89.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0297711
1885663
23029657
35001637

prune264.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample625.0ms

Algorithm
intervals
Results
186.0ms8520×body80valid
169.0ms8413×body80nan
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid