Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
29.0ms	(/ 1.0 (- x 1.0))
131.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune232.0ms

Filtered

123 candidates to 94 candidates (76.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	1	124

Merged error: 0b

Counts

124 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

783×	`*-un-lft-identity`
704×	`times-frac`
611×	`add-sqr-sqrt`
429×	`add-cube-cbrt`
378×	`prod-diff`
98×	`associate-/r/`
86×	`distribute-lft-out--`
83×	`distribute-lft-out`
77×	`difference-of-squares`
51×	`swap-sqr`
49×	`div-inv`
39×	`associate-r` `associate-l`
30×	`add-exp-log` `add-cbrt-cube`
25×	`flip3--` `flip3-+` `flip--` `flip-+`
21×	`fma-neg`
18×	`pow1`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `frac-sub`

Counts

4 → 651

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
36.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
17.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
20.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (- x 1.0))
100.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
247.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
41.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify157.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1785	14156
1	5002	11143

prune1.1s

Filtered

663 candidates to 297 candidates (44.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	663	0	663
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	663	1	664

Merged error: 0b

Counts

664 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	12	17

end0.0ms

sample274.0ms

Algorithm

intervals

Results

188.0ms

8000×

body

valid