Details

sample103.0ms

Algorithm

intervals

Results

38.0ms	237×	body	10240	exit
30.0ms	100×	body	1280	valid
19.0ms	92×	body	640	valid
4.0ms	38×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	10×	body	80	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (44.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	63	9
5	179	9
6	1184	9
7	5002	7

prune7.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (+ x x))
0.0b	(fma 1 1 (exp (+ x x)))
0.3b	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`expm1-udef`
1×	`frac-2neg` `div-sub` `clear-num` `fma-udef` `div-inv`

Counts

3 → 6

Calls

3 calls:

1.0ms	(expm1 (+ x x))
1.0ms	(fma 1 1 (exp (+ x x)))
2.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

series104.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(expm1 (+ x x))
20.0ms	(fma 1 1 (exp (+ x x)))
67.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

simplify137.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	83	67
1	229	67
2	852	66
3	3583	64
4	5001	64

prune34.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0b

Counts

17 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* 1/3 (pow x 3)))
0.0b	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.1b	(* 1/3 (pow x 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r`
1×	`sub-neg` `flip3--` `unpow3` `*-commutative` `flip--` `fma-udef` `sqr-pow`

Counts

3 → 8

Calls

3 calls:

2.0ms	(- x (* 1/3 (pow x 3)))
1.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
3.0ms	(* 1/3 (pow x 3))

series156.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- x (* 1/3 (pow x 3)))
48.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
36.0ms	(* 1/3 (pow x 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	77	68
1	250	64
2	1234	59
3	5001	58

prune26.0ms

Filtered

17 candidates to 8 candidates (47.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	17	3	20

Merged error: 0b

Counts

20 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.1b	(- (exp x) (exp (- x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `div-sub` `tanh-undef` `clear-num` `div-inv`

Counts

3 → 16

Calls

3 calls:

3.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
2.0ms	(- (exp x) (exp (- x)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp x) (exp (- x)))
69.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	166	199
1	509	188
2	1940	178
3	5001	171

prune56.0ms

Filtered

25 candidates to 21 candidates (84.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Merged error: 0b

Counts

28 → 3

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	13	6
2	13	6

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	7471×	body	10240	exit
963.0ms	3263×	body	1280	valid
443.0ms	2507×	body	640	valid
133.0ms	1211×	body	320	valid
40.0ms	604×	body	160	valid
15.0ms	415×	body	80	valid