Details

sample28.0ms

Algorithm

intervals

Results

15.0ms	120×	body	1280	valid
4.0ms	136×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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
done	64	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.2b

localize7.0ms

Local error

Found 1 expressions with local error:

29.0b

(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)

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify65.0ms

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
done	5001	67

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (/ 1.0 x)) (fabs x))
6.5b	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

rewrite45.0ms

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:

25.0ms	(* (- (/ 1.0 x)) (fabs x))
18.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

series115.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (- (/ 1.0 x)) (fabs x))
69.0ms	(+ (* (- (/ 1.0 x)) (fabs x)) 1)

simplify162.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

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

prune177.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (/ 1.0 x)) (fabs x))
0.5b	(expm1 (* (- (/ 1.0 x)) (fabs x)))

rewrite32.0ms

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`
3×	`associate-r` `log1p-expm1-u`
2×	`expm1-log1p-u` `div-inv` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `expm1-log1p` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-neg-frac` `expm1-udef` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

29.0ms	(* (- (/ 1.0 x)) (fabs x))
1.0ms	(expm1 (* (- (/ 1.0 x)) (fabs x)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (- (/ 1.0 x)) (fabs x))
31.0ms	(expm1 (* (- (/ 1.0 x)) (fabs x)))

simplify38.0ms

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	360
1	839	337
2	5001	337
done	5001	337

prune202.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	22	7
2	23	7
3	23	7
done	23	7

end0.0ms

sample757.0ms

Algorithm

intervals

Results

517.0ms	4049×	body	1280	valid
112.0ms	3951×	body	80	valid