Details

analyze64.0ms

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

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	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

prune2.0ms

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 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

6.0ms	(- (* (+ x 1.0) y) x)
5.0ms	(* (+ x 1.0) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (* (+ x 1.0) y) x)
4.0ms	(* (+ x 1.0) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5065	302

prune43.0ms

Filtered

25 candidates to 38 candidates (-52.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
0.0b	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
2.6b	(* y (+ (pow x 3) (pow 1.0 3)))
14.6b	(/ (* y (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

19.0ms	(- (/ (* y (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
6.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
15.0ms	(* y (+ (pow x 3) (pow 1.0 3)))
17.0ms	(/ (* y (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ (* y (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
3.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
13.0ms	(* y (+ (pow x 3) (pow 1.0 3)))
28.0ms	(/ (* y (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

simplify27.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5029	1456

prune152.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(sqrt (* (+ x 1.0) y))
0.0b	(sqrt (* (+ x 1.0) y))
0.3b	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

5.0ms	(* (+ x 1.0) y)
4.0ms	(sqrt (* (+ x 1.0) y))
4.0ms	(sqrt (* (+ x 1.0) y))
12.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ x 1.0) y)
12.0ms	(sqrt (* (+ x 1.0) y))
14.0ms	(sqrt (* (+ x 1.0) y))
13.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4949	843
1	4949	843

prune118.0ms

Filtered

67 candidates to 116 candidates (-73.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes108.0ms

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	18	7
1	18	7

end0.0ms

sample312.0ms

Algorithm

intervals

Results

179.0ms	7997×	body	80	valid
1.0ms	64×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze64.0ms

sample13.0ms

simplify11.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series9.0ms

simplify43.0ms

prune43.0ms

localize15.0ms

rewrite59.0ms

series72.0ms

simplify27.0ms

prune152.0ms

localize7.0ms

rewrite29.0ms

series43.0ms

simplify50.0ms

prune118.0ms

regimes108.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample312.0ms

Profiling