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

localize6.0ms

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)))

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:

5.0ms	(/ x (+ x 1.0))
8.0ms	(/ 1.0 (- x 1.0))
22.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1.0))
33.0ms	(/ 1.0 (- x 1.0))
124.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

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

prune149.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ (+ x 1.0) x)
0.0b	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.1b	(/ 1 (/ (+ x 1.0) x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
124×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
24×	`associate-/r*`
20×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv` `distribute-lft-out--`
4×	`difference-of-squares`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `frac-add` `sum-log` `flip--` `inv-pow`

Counts

4 → 174

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
6.0ms	(/ (+ x 1.0) x)
50.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
8.0ms	(/ 1 (/ (+ x 1.0) x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
50.0ms	(/ (+ x 1.0) x)
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
37.0ms	(/ 1 (/ (+ x 1.0) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	618	1197
1	2829	999
2	5001	990

prune197.0ms

Filtered

186 candidates to 107 candidates (57.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	186	2	188

Merged error: 0b

Counts

188 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
0.0b	(* (- x 1.0) x)
15.6b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`flip3--` `flip--`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-times` `frac-add` `associate-/r/`
7×	`associate-r`
6×	`associate-/l/` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

8.0ms	(* (- x 1.0) (+ x 1.0))
8.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
6.0ms	(* (- x 1.0) x)
16.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (- x 1.0) (+ x 1.0))
33.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
47.0ms	(* (- x 1.0) x)
92.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	566	963
1	3047	860
2	5003	859

prune200.0ms

Filtered

117 candidates to 89 candidates (76.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample272.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid