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 (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 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
27×	`times-frac`
21×	`add-cube-cbrt`
9×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r/` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+`

Counts

2 → 70

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1.0 (- x 1.0))
45.0ms	(/ x (+ x 1.0))

simplify189.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	276	386
1	1009	361
2	4574	356
3	5001	356

prune112.0ms

Filtered

76 candidates to 56 candidates (26.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.4b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

599×	`add-sqr-sqrt`
250×	`difference-of-squares`
224×	`*-un-lft-identity`
211×	`times-frac`
145×	`associate-l`
136×	`associate-/r*`
120×	`swap-sqr`
102×	`unswap-sqr`
101×	`*-commutative`
94×	`add-cube-cbrt`
78×	`frac-times`
50×	`distribute-lft-out--`
41×	`flip3-+` `flip-+`
39×	`associate-*l/`
15×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/`
5×	`pow1` `frac-2neg` `clear-num` `distribute-lft-out`
4×	`associate-r`
3×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`+-commutative` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod`
1×	`pow-prod-down`

Counts

3 → 429

Calls

3 calls:

6.0ms	(/ x (+ x 1.0))
22.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
49.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ x (+ x 1.0))
58.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
52.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

438 → 438

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1427	3163
1	5001	3099

prune406.0ms

Filtered

438 candidates to 174 candidates (60.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	437	1	438
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	438	2	440

Merged error: 0b

Counts

440 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x 1.0))
13.9b	(/ (* (- 1.0) (+ x 1.0)) (- (- (* x x) (* 1.0 1.0))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

2671×	`add-sqr-sqrt`
1412×	`times-frac`
1083×	`*-un-lft-identity`
1050×	`difference-of-squares`
906×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
878×	`associate-l`
504×	`swap-sqr`
491×	`*-commutative` `unswap-sqr`
429×	`add-cube-cbrt`
284×	`associate-r`
210×	`distribute-lft-out--`
92×	`neg-mul-1`
75×	`distribute-lft-out`
74×	`associate-/r*`
23×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+` `div-inv` `associate-/l/` `distribute-neg-frac` `add-log-exp`
1×	`distribute-lft-neg-out` `flip3--` `distribute-frac-neg` `prod-exp` `flip--` `cbrt-unprod`

Counts

2 → 1542

Calls

2 calls:

5.0ms	(/ x (+ x 1.0))
64.0ms	(/ (* (- 1.0) (+ x 1.0)) (- (- (* x x) (* 1.0 1.0))))

series98.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (+ x 1.0))
59.0ms	(/ (* (- 1.0) (+ x 1.0)) (- (- (* x x) (* 1.0 1.0))))

simplify269.0ms

Algorithm

egg-herbie

Counts

1548 → 1548

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2437	18154
1	5001	17726

prune930.0ms

Filtered

1548 candidates to 356 candidates (77.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1548	0	1548
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1548	2	1550

Merged error: 0b

Counts

1550 → 2

regimes11.0ms

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	9
1	13	9

end0.0ms

sample290.0ms

Algorithm

intervals

Results

197.0ms

8000×

body

valid