Details

sample29.0ms

Algorithm

intervals

Results

18.0ms	133×	body	1280	valid
4.0ms	123×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

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: 18.5b

Counts

2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

32.2b

(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)

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify60.0ms

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

prune33.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

6.1b	(log (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
32.2b	(fma (- (/ 1.0 x)) (fabs x) 1)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `log-pow`
3×	`pow1` `exp-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`
1×	`rem-log-exp` `exp-sum`

Counts

2 → 28

Calls

2 calls:

2.0ms	(log (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
1.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)

series142.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(log (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
71.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)

simplify67.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	212
1	127	187
2	365	187
3	1673	187
4	5003	187

prune76.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	35	1	36

Merged error: 0b

Counts

36 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
0.5b	(cbrt (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
32.2b	(fma (- (/ 1.0 x)) (fabs x) 1)
32.2b	(fma (- (/ 1.0 x)) (fabs x) 1)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `exp-sum`

Counts

4 → 48

Calls

4 calls:

2.0ms	(cbrt (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
2.0ms	(cbrt (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
1.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)
1.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)

series301.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
77.0ms	(cbrt (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
73.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)
72.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	111	494
1	287	450
2	1240	440
3	5001	434

prune222.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	1	61

Merged error: 0b

Counts

61 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	16
1	19	16

end0.0ms

sample771.0ms

Algorithm

intervals

Results

543.0ms	4005×	body	1280	valid
126.0ms	3995×	body	80	valid