Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

343×

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 (100.0%)

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

localize8.0ms

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)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(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	433	53
3	2132	53
4	5001	53

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

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)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 0.253 (* x 0.12))
62.0ms	(* x (+ 0.253 (* x 0.12)))

simplify110.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	175	184
1	809	150
2	4290	148
3	5001	148

prune97.0ms

Filtered

46 candidates to 36 candidates (78.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ (* x 0.253) (* x (* x 0.12)))
5.0ms	(* x (* x 0.12))

series91.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x 0.253) (* x (* x 0.12)))
27.0ms	(* x (* x 0.12))

simplify96.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	176	175
1	724	144
2	3393	141
3	5001	141

prune69.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 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)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
5.0ms	(* (pow x 2) 0.12)

series96.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
27.0ms	(* (pow x 2) 0.12)

simplify198.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (194.0ms)

Iter	Nodes	Cost
0	189	205
1	714	183
2	4427	181
3	5001	180

prune98.0ms

Filtered

49 candidates to 35 candidates (71.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

regimes15.0ms

Accuracy

0% (0.1b 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	13	5
1	13	5

end0.0ms

sample313.0ms

Algorithm

intervals

Results

202.0ms

10714×

body

valid