Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

341×

body

valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

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:

1.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	432	53
3	2131	53
4	5001	53

prune24.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.1b

Counts

14 → 3

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)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
5.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
205.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
188.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
217.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	364	1188
1	1282	1088
2	5001	933

prune233.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize13.0ms

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

527×	`add-sqr-sqrt`
523×	`cbrt-prod`
326×	`unswap-sqr`
159×	`associate-l`
62×	`cbrt-unprod`
51×	`add-cbrt-cube`
46×	`swap-sqr`
38×	`add-cube-cbrt`
37×	`*-un-lft-identity`
33×	`associate-r`
24×	`pow1/3`
22×	`pow1`
15×	`add-exp-log`
13×	`*-commutative`
11×	`pow-prod-down`
10×	`pow-prod-up`
7×	`prod-exp`
4×	`expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus`
1×	`pow2`

Counts

4 → 327

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
7.0ms	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
44.0ms	(* (* (* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (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)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
187.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
193.0ms	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
198.0ms	(* (* (* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (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)))

simplify353.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	1177	9303
1	3840	8348
2	5001	7709

prune764.0ms

Filtered

339 candidates to 191 candidates (56.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	335	4	339
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	337	8	345

Merged error: 0.0b

Counts

345 → 8

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	(pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 2)
0.2b	(* (* (pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 2) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

150×	`add-sqr-sqrt`
136×	`cbrt-prod`
92×	`unswap-sqr`
60×	`associate-l`
45×	`unpow-prod-down`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
11×	`pow1` `unpow2` `sqr-pow`
10×	`cbrt-unprod`
7×	`pow1/3` `prod-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `pow-prod-up`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`pow-plus`

Counts

4 → 167

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
4.0ms	(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))) 2)
21.0ms	(* (* (pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 2) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
182.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
234.0ms	(pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 2)
187.0ms	(* (* (pow (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) 2) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	911	3434
1	3383	3051
2	5003	2772

prune547.0ms

Filtered

179 candidates to 130 candidates (72.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	179	8	187

Merged error: 0.0b

Counts

187 → 8

regimes37.0ms

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

sample293.0ms

Algorithm

intervals

Results

189.0ms

10575×

body

valid