Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:

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

series186.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
27.0ms	(/ 1.0 (- x 1.0))
37.0ms	(/ x (+ x 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (35.0ms)

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

prune168.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
0.0b	(/ x (+ x 1.0))
3.2b	(log (exp (/ x (+ x 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
54×	`times-frac`
42×	`add-cube-cbrt`
21×	`fma-def`
20×	`log-pow`
18×	`exp-prod`
9×	`associate-/r*` `distribute-lft-out`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `log-prod` `associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`associate-+r+` `flip3-+` `flip-+`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--`
1×	`+-commutative` `rem-log-exp` `sum-log`

Counts

4 → 145

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
30.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
5.0ms	(/ x (+ x 1.0))
7.0ms	(log (exp (/ x (+ x 1.0))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (- x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
33.0ms	(/ x (+ x 1.0))
37.0ms	(log (exp (/ x (+ x 1.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	445	730
1	1499	681
2	5001	666

prune268.0ms

Filtered

157 candidates to 123 candidates (78.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	157	1	158

Merged error: 0b

Counts

158 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	7
1	11	7

end0.0ms

sample320.0ms

Algorithm

intervals

Results

232.0ms

8000×

body

valid