Details

analyze63.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune6.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 1.0) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* (+ x 1.0) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (+ x 1.0) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5096	155

prune29.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- x 1.0))
0.1b	(* (+ x 1.0) (* y (- x 1.0)))
6.4b	(/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

6.0ms	(* y (- x 1.0))
10.0ms	(* (+ x 1.0) (* y (- x 1.0)))
16.0ms	(/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* y (- x 1.0))
7.0ms	(* (+ x 1.0) (* y (- x 1.0)))
5.0ms	(/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	1002
1	4979	1002

prune105.0ms

Filtered

65 candidates to 101 candidates (-55.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

3.3b	(* y (- (* x x) 1.0))
6.4b	(/ (* y (- (* x x) 1.0)) (- x 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-/r*`
4×	`pow1` `associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

7.0ms	(* y (- (* x x) 1.0))
10.0ms	(/ (* y (- (* x x) 1.0)) (- x 1.0))

series26.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* y (- (* x x) 1.0))
16.0ms	(/ (* y (- (* x x) 1.0)) (- x 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5132	599

prune60.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes105.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample305.0ms

Algorithm

intervals

Results

174.0ms	7999×	body	80	valid
1.0ms	66×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze63.0ms

sample12.0ms

simplify11.0ms

prune6.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify34.0ms

prune29.0ms

localize7.0ms

rewrite34.0ms

series16.0ms

simplify52.0ms

prune105.0ms

localize8.0ms

rewrite18.0ms

series26.0ms

simplify37.0ms

prune60.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample305.0ms

Profiling