Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample22.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify671.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	786	11
1	786	11

prune4.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

2 → 84

Calls

2 calls:

7.0ms	(/ (- 1.0 x) (+ 1.0 x))
10.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (- 1.0 x) (+ 1.0 x))
12.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5083	1147

prune138.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	2	91

Merged error: 0b

Counts

91 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
81×	`times-frac`
78×	`sqrt-prod`
58×	`exp-prod`
48×	`add-cube-cbrt`
30×	`log-pow`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-/l*` `add-log-exp`
4×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
3×	`log-prod`
2×	`rem-sqrt-square` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

4 → 162

Calls

4 calls:

14.0ms	(log (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
7.0ms	(/ (- 1.0 x) (+ 1.0 x))
9.0ms	(exp (sqrt (/ (- 1.0 x) (+ 1.0 x))))
8.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
8.0ms	(exp (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4948	2063
1	4948	2063

prune311.0ms

Filtered

117 candidates to 174 candidates (-48.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	174	2	176

Merged error: 0b

Counts

176 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ 1.0 x))
0.0b	(* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
33×	`sqrt-prod`
28×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
8×	`add-exp-log` `associate-l` `unswap-sqr`
7×	`pow1` `sqrt-div` `distribute-lft-out`
6×	`add-cbrt-cube`
4×	`associate-/r*` `associate-/r/`
3×	`pow-prod-down` `associate-/l*`
2×	`frac-times` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `associate-*l/` `flip--` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `sqrt-unprod` `1-exp` `associate-r/` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

2 → 93

Calls

2 calls:

6.0ms	(/ 1 (+ 1.0 x))
18.0ms	(* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))

series7.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ 1 (+ 1.0 x))
5.0ms	(* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4946	1132
1	4946	1132

prune140.0ms

Filtered

59 candidates to 99 candidates (-67.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms

sample509.0ms

Algorithm

intervals

Results

402.0ms

8000×

body

valid

Details

analyze12.0ms

sample22.0ms

simplify671.0ms

prune4.0ms

localize10.0ms

rewrite21.0ms

series15.0ms

simplify49.0ms

prune138.0ms

localize11.0ms

rewrite46.0ms

series20.0ms

simplify76.0ms

prune311.0ms

localize10.0ms

rewrite28.0ms

series7.0ms

simplify48.0ms

prune140.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample509.0ms

Profiling