Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

322×

body

valid

simplify30.0ms

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

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)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify73.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune33.0ms

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)) (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))

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:

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

series715.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
176.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
183.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
174.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

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

prune297.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

localize15.0ms

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))

rewrite6.0ms

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:

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

series715.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
177.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
179.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
182.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	184	776
1	552	728
2	2089	648
3	5002	648

prune309.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

localize23.0ms

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))

rewrite6.0ms

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:

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

series753.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
200.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
182.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
179.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	184	776
1	552	728
2	2089	648
3	5002	648

prune348.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

regimes42.0ms

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)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample298.0ms

Algorithm

intervals

Results

189.0ms

10551×

body

valid