Details

Time bar (total: 4.4s)

sample13.0ms

Algorithm
intervals
Results
6.0ms327×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0194
1454
2823
31273
41683
52243
63593
76663
87633
97633

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- x) (fma 0.12 x 0.253) 1.0)

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 (- x) (fma 0.12 x 0.253) 1.0)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04266
110253
243353
3213253
4500153

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

rewrite10.0ms

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:
0.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
7.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

series716.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
177.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
180.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
180.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03551123
112421046
25001918

prune310.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
26×add-sqr-sqrt
18×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 → 90
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
1.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
1.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
6.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
182.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
177.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
188.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03851285
113491208
250011068

prune379.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
56×cbrt-prod
32×pow1 add-cube-cbrt *-un-lft-identity
24×pow1/3
22×swap-sqr associate-*r* associate-*l*
16×unswap-sqr
12×add-exp-log
8×pow-prod-down pow-sqr pow-prod-up
4×pow2 expm1-log1p-u pow-plus prod-exp *-commutative add-cbrt-cube cbrt-unprod log1p-expm1-u add-log-exp
Counts
4 → 162
Calls
4 calls:
6.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
6.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
6.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
10.0ms
(* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))

series760.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
187.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
185.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
201.0ms
(* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04212428
115192199
250011839

prune725.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes35.0ms

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
073

end0.0ms

sample291.0ms

Algorithm
intervals
Results
188.0ms10671×body80valid