Details

sample33.0ms

Algorithm

intervals

Results

21.0ms	123×	body	1280	valid
5.0ms	133×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune6.0ms

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: 19.2b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

29.8b

(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)

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

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

prune28.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

4.8b	(log (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
29.8b	(fma (- (/ 1.0 x)) (fabs x) 1)

rewrite3.0ms

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)

series132.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(log (exp (fma (- (/ 1.0 x)) (fabs x) 1)))
66.0ms	(fma (- (/ 1.0 x)) (fabs x) 1)

simplify61.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (3.0ms)

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

prune57.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- (/ 1.0 x)) (fabs x))
4.8b	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

rewrite17.0ms

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:

8.0ms	(* (- (/ 1.0 x)) (fabs x))
6.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

series94.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (- (/ 1.0 x)) (fabs x))
52.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

simplify141.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (29.0ms)

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

prune105.0ms

Filtered

69 candidates to 57 candidates (82.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Merged error: 0b

Counts

71 → 2

regimes10.0ms

Accuracy

0% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 4.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample927.0ms

Algorithm

intervals

Results

673.0ms	3953×	body	1280	valid
152.0ms	4047×	body	80	valid