Details

sample27.0ms

Algorithm

intervals

Results

16.0ms	123×	body	1280	valid
4.0ms	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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.7b

localize6.0ms

Local error

Found 1 expressions with local error:

29.5b

(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:

0.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify55.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

15.0ms	(* (- (/ 1.0 x)) (fabs x))
6.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

series98.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- (/ 1.0 x)) (fabs x))
58.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

simplify140.0ms

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

prune144.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- (/ 1.0 x)) (fabs x))
5.6b	(+ (cbrt (pow (* (- (/ 1.0 x)) (fabs x)) 3)) 1)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-l`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`fma-def`
8×	`cbrt-prod`
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` `cube-mult` `neg-mul-1` `unpow-prod-down` `flip3-+` `unpow3` `cube-prod` `pow-prod-down` `associate-l/` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `flip-+` `distribute-neg-frac` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

2 → 74

Calls

2 calls:

18.0ms	(* (- (/ 1.0 x)) (fabs x))
9.0ms	(+ (cbrt (pow (* (- (/ 1.0 x)) (fabs x)) 3)) 1)

series101.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (- (/ 1.0 x)) (fabs x))
55.0ms	(+ (cbrt (pow (* (- (/ 1.0 x)) (fabs x)) 3)) 1)

simplify138.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	279	411
1	998	367
2	4827	359
3	5001	359

prune215.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	23	7
2	24	7
3	24	7

end0.0ms

sample744.0ms

Algorithm

intervals

Results

522.0ms	3936×	body	1280	valid
122.0ms	4064×	body	80	valid