Details

sample24.0ms

Algorithm

intervals

Results

17.0ms

327×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

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 (- 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)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	433	53
3	2132	53
4	5001	53

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)))

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:

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))
6.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
182.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
184.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
184.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	355	1123
1	1242	1046
2	5001	918

prune428.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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)) (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)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

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))
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)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
183.0ms	(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)))
185.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	355	1470
1	1242	1364
2	5001	1192

prune449.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

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))
0.3b	(pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 4)

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 (- 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))
3.0ms	(pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 4)

series836.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
181.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
183.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
281.0ms	(pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 4)

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	389	931
1	1346	881
2	5001	787

prune300.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.0b 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)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample680.0ms

Algorithm

intervals

Results

565.0ms

10585×

body

valid