Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

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 (100.0%)

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))
5.0ms	(/ 1.0 (- x 1.0))
26.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/ x (+ x 1.0))
2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

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

prune113.0ms

Filtered

96 candidates to 70 candidates (27.1%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
55×	`times-frac`
35×	`distribute-lft-out`
28×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`difference-of-squares`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

26.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
5.0ms	(/ 1.0 (- x 1.0))
22.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
26.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
7.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	461	1017
1	1977	974
2	5003	968

prune155.0ms

Filtered

136 candidates to 77 candidates (43.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	136	2	138

Merged error: 0b

Counts

138 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) x)
0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
14.4b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite40.0ms

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:

6.0ms	(* (- x 1.0) x)
8.0ms	(* (- x 1.0) (+ x 1.0))
7.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
15.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- x 1.0) x)
6.0ms	(* (- x 1.0) (+ x 1.0))
4.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
9.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (74.0ms)

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

prune168.0ms

Filtered

117 candidates to 89 candidates (23.9%)

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

regimes48.0ms

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	12	7
1	12	7

end0.0ms

sample348.0ms

Algorithm

intervals

Results

227.0ms

8000×

body

valid

Details

sample14.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite39.0ms

series11.0ms

simplify39.0ms

prune113.0ms

localize9.0ms

rewrite85.0ms

series23.0ms

simplify59.0ms

prune155.0ms

localize8.0ms

rewrite40.0ms

series23.0ms

simplify84.0ms

prune168.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample348.0ms

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