Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

505×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	49	4
3	96	4
4	253	4
5	821	4
6	3115	4
7	5002	4

prune2.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(exp (- (- 1.0 (* x x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `distribute-neg-in` `exp-sum`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `exp-prod` `flip3--` `exp-diff` `flip--`

Counts

2 → 9

Calls

2 calls:

2.0ms	(- 1.0 (* x x))
3.0ms	(exp (- (- 1.0 (* x x))))

series64.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- 1.0 (* x x))
25.0ms	(exp (- (- 1.0 (* x x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	99	60
1	352	56
2	1399	51
3	5001	50

prune24.0ms

Filtered

15 candidates to 9 candidates (60.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	1	16

Merged error: 0b

Counts

16 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (pow x 2))
0.0b	(exp (- (/ (* (- 1.0 (pow x 2)) (fma x x 1.0)) (fma x x 1.0))))
0.0b	(* (- 1.0 (pow x 2)) (fma x x 1.0))
0.0b	(/ (* (- 1.0 (pow x 2)) (fma x x 1.0)) (fma x x 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*l/`
3×	`exp-prod` `flip3--` `flip--` `div-inv`
2×	`-commutative` `fma-udef` `associate-/l/` `associate-/l`
1×	`neg-sub0` `distribute-lft-neg-in` `distribute-rgt-in` `exp-neg` `neg-mul-1` `sub-neg` `distribute-rgt-neg-in` `frac-2neg` `distribute-lft-in` `exp-diff` `clear-num`

Counts

4 → 21

Calls

4 calls:

2.0ms	(- 1.0 (pow x 2))
5.0ms	(exp (- (/ (* (- 1.0 (pow x 2)) (fma x x 1.0)) (fma x x 1.0))))
3.0ms	(* (- 1.0 (pow x 2)) (fma x x 1.0))
5.0ms	(/ (* (- 1.0 (pow x 2)) (fma x x 1.0)) (fma x x 1.0))

series239.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 1.0 (pow x 2))
23.0ms	(exp (- (/ (* (- 1.0 (pow x 2)) (fma x x 1.0)) (fma x x 1.0))))
139.0ms	(* (- 1.0 (pow x 2)) (fma x x 1.0))
39.0ms	(/ (* (- 1.0 (pow x 2)) (fma x x 1.0)) (fma x x 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	134	139
1	508	118
2	2062	111
3	5002	110

prune64.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	1	34

Merged error: 0b

Counts

34 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	19	8
2	19	8

end0.0ms

sample500.0ms

Algorithm

intervals

Results

330.0ms

15822×

body

valid