Details

sample58.0ms

Algorithm

intervals

Results

36.0ms	127×	body	1280	valid
8.0ms	129×	body	80	valid

simplify81.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
7	69
6	67
5	61
4	55
3	48
2	32
1	15
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.8b

localize35.0ms

Local error

Found 1 expressions with local error:

30.8b

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify3.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2512
3	267
2	74
1	34
0	20

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (fabs x) (/ (- 1.0) x))
4.8b	(+ (* (fabs x) (/ (- 1.0) x)) 1)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

28.0ms	(* (fabs x) (/ (- 1.0) x))
10.0ms	(+ (* (fabs x) (/ (- 1.0) x)) 1)

series152.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (fabs x) (/ (- 1.0) x))
91.0ms	(+ (* (fabs x) (/ (- 1.0) x)) 1)

simplify2.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	2857
1	431
0	143

prune395.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`log1p-expm1-u`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `expm1-log1p` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `expm1-udef` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify905.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
3	2057
2	298
1	88
0	37

prune70.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	23
3	23
2	20
1	16
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	3935×	body	1280	valid
375.0ms	4065×	body	80	valid