Details

sample42.0ms

Algorithm

intervals

Results

28.0ms	137×	body	1280	valid
5.0ms	119×	body	80	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	5
1	30	5
2	43	4
3	50	4
4	56	4
5	62	4
6	64	4
7	64	4

prune8.0ms

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: 20.6b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

33.2b

(fma (- (/ 1.0 x)) (fabs x) 1)

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 (- (/ 1.0 x)) (fabs x) 1)

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(fma (- (/ 1.0 x)) (fabs x) 1)

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	34	76
1	73	67
2	263	67
3	1366	67
4	5001	67

prune31.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0b

Counts

15 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- (/ 1.0 x)) (fabs x))
5.6b	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-l`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `fma-def` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `flip-+` `distribute-neg-frac` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- (/ 1.0 x)) (fabs x))
7.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

series119.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- (/ 1.0 x)) (fabs x))
66.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

simplify156.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	275	372
1	1065	348
2	4927	341
3	5001	341

prune137.0ms

Filtered

69 candidates to 57 candidates (82.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	1	71

Merged error: 0b

Counts

71 → 1

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify7.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

1 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample1.0s

Algorithm

intervals

Results

754.0ms	3972×	body	1280	valid
164.0ms	4028×	body	80	valid