Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify27.0ms

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

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

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:

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)

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

prune28.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`+-commutative` `fma-def`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

6.0ms	(+ 0.253 (* x 0.12))
9.0ms	(* x (+ 0.253 (* x 0.12)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ 0.253 (* x 0.12))
63.0ms	(* x (+ 0.253 (* x 0.12)))

simplify102.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	170	192
1	774	158
2	4028	156
3	5001	156

prune76.0ms

Filtered

52 candidates to 38 candidates (26.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`associate-r`
21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`associate-l`
12×	`fma-def`
11×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

2 → 69

Calls

2 calls:

20.0ms	(+ (* x 0.253) (* x (* x 0.12)))
8.0ms	(* x (* x 0.12))

series93.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x 0.253) (* x (* x 0.12)))
26.0ms	(* x (* x 0.12))

simplify39.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	231	250
1	1062	203
2	5002	200

prune94.0ms

Filtered

75 candidates to 50 candidates (33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (pow x 2) 0.12))
0.2b	(* (pow x 2) 0.12)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
12×	`fma-def`
8×	`add-cube-cbrt`
7×	`add-exp-log`
6×	`associate-r`
5×	`distribute-lft-out` `unswap-sqr`
4×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
3×	`prod-exp` `unpow2`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

2 → 60

Calls

2 calls:

17.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
6.0ms	(* (pow x 2) 0.12)

series91.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
24.0ms	(* (pow x 2) 0.12)

simplify159.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	184	221
1	685	198
2	4249	189
3	5001	188

prune93.0ms

Filtered

66 candidates to 46 candidates (30.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0b

Counts

70 → 4

regimes16.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample295.0ms

Algorithm

intervals

Results

188.0ms

10653×

body

valid