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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
8.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series200.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms	(/ 1.0 (- x 1.0))
37.0ms	(/ x (+ x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune131.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	1	97

Merged error: 0b

Counts

97 → 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)) (log (exp (/ x (+ x 1.0)))))
0.0b	(/ x (+ x 1.0))
3.2b	(log (exp (/ x (+ x 1.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
39×	`times-frac`
33×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-prod`
9×	`associate-/r*` `distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-+r+` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3--` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 116

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
32.0ms	(+ (/ 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))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
130.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
40.0ms	(/ x (+ x 1.0))
37.0ms	(log (exp (/ x (+ x 1.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	423	702
1	1403	652
2	5001	643

prune224.0ms

Filtered

128 candidates to 97 candidates (75.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	1	129

Merged error: 0b

Counts

129 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	7
1	11	7

end0.0ms

sample319.0ms

Algorithm

intervals

Results

232.0ms

8000×

body

valid