Details

sample40.0ms

Algorithm

intervals

Results

23.0ms	117×	body	1280	valid
6.0ms	139×	body	80	valid

simplify83.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.8b

localize8.0ms

Local error

Found 1 expressions with local error:

28.1b

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

rewrite1.0ms

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:

0.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify4.0s

Counts

13 → 13

Iterations

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

prune85.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (fabs x) (/ (- 1.0) x))
0.2b	(exp (log1p (* (fabs x) (/ (- 1.0) x))))
3.6b	(log1p (* (fabs x) (/ (- 1.0) x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-r`
31×	`times-frac`
30×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-log-exp`
3×	`exp-prod` `neg-mul-1` `associate-l` `log1p-expm1-u`
2×	`log1p-udef` `prod-exp` `cbrt-unprod` `unswap-sqr` `rem-exp-log`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `log1p-expm1` `associate-r/` `distribute-frac-neg` `-commutative` `distribute-rgt-neg-out` `div-inv`

Counts

3 → 81

Calls

3 calls:

39.0ms	(* (fabs x) (/ (- 1.0) x))
4.0ms	(exp (log1p (* (fabs x) (/ (- 1.0) x))))
1.0ms	(log1p (* (fabs x) (/ (- 1.0) x)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (fabs x) (/ (- 1.0) x))
56.0ms	(exp (log1p (* (fabs x) (/ (- 1.0) x))))
40.0ms	(log1p (* (fabs x) (/ (- 1.0) x)))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	3087
1	518
0	187

prune516.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (fabs x) (/ (- 1.0) x))
0.2b	(* (fabs x) (/ (- 1.0) x))
0.2b	(* (fabs x) (/ (- 1.0) x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

102×	`associate-r`
93×	`times-frac`
81×	`add-sqr-sqrt`
66×	`*-un-lft-identity` `add-cube-cbrt`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`add-cbrt-cube` `add-exp-log`
9×	`pow1` `neg-mul-1` `associate-l`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `distribute-frac-neg` `-commutative` `distribute-rgt-neg-out` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

3 → 168

Calls

3 calls:

33.0ms	(* (fabs x) (/ (- 1.0) x))
29.0ms	(* (fabs x) (/ (- 1.0) x))
22.0ms	(* (fabs x) (/ (- 1.0) x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (fabs x) (/ (- 1.0) x))
65.0ms	(* (fabs x) (/ (- 1.0) x))
55.0ms	(* (fabs x) (/ (- 1.0) x))

simplify1.2s

Counts

177 → 177

Iterations

Iter	Nodes
done	5000
2	2017
1	333
0	119

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	22
3	22
2	19
1	15
0	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s	4046×	body	1280	valid
263.0ms	3954×	body	80	valid