Details

sample42.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 81.262212%

Space saved by search: 81.262212%

Guaranteed chance to sample good point: 99.987793%

Results

15.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1343	7
7	5001	7

prune3.0ms

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: 18.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
18.2b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`+-commutative` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

3.0ms	(+ (* x x) (* y y))
11.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x x) (* y y))
11.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	308	388
1	1848	330
2	5001	322

prune74.0ms

Filtered

39 candidates to 48 candidates (-23.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0.3b

Counts

49 → 5

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune11.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 0.3b

Counts

5 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
18.2b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`log-pow`
9×	`exp-prod`
8×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `associate-/l/`
6×	`flip3-+` `times-frac` `flip-+`
5×	`add-log-exp`
4×	`pow1` `frac-times` `associate-/r/`
3×	`log-prod` `flip3--` `associate-/r*` `flip--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `div-inv`
1×	`+-commutative` `frac-2neg` `rem-log-exp` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `associate-/l*`

Counts

3 → 63

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
6.0ms	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x x) (* y y))
11.0ms	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
11.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	348	599
1	1931	516
2	5001	501

prune93.0ms

Filtered

58 candidates to 72 candidates (-24.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.3b

Counts

77 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (pow y 2))
0.2b	(* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))
17.8b	(/ (+ x y) (+ (pow x 2) (pow y 2)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
41×	`times-frac`
32×	`add-sqr-sqrt`
31×	`distribute-lft-out`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`unpow-prod-down`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 109

Calls

3 calls:

9.0ms	(+ (pow x 2) (pow y 2))
19.0ms	(* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))
11.0ms	(/ (+ x y) (+ (pow x 2) (pow y 2)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (pow x 2) (pow y 2))
11.0ms	(* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))
8.0ms	(/ (+ x y) (+ (pow x 2) (pow y 2)))

simplify58.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	390	902
1	1953	823
2	5002	822

prune145.0ms

Filtered

69 candidates to 118 candidates (-71.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Merged error: 0.3b

Counts

123 → 5

regimes167.0ms

Accuracy

78.5% (4.6b remaining)

Error of 5.0b against oracle of 0.4b and baseline of 21.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	16
1	18	16

end0.0ms

sample689.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 81.262212%

Space saved by search: 81.262212%

Guaranteed chance to sample good point: 99.987793%

Results

305.0ms	8000×	body	80	valid
161.0ms	8000×	pre	80	true

Details

sample42.0ms

simplify66.0ms

prune3.0ms

localize9.0ms

rewrite16.0ms

series16.0ms

simplify46.0ms

prune74.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune11.0ms

localize13.0ms

rewrite23.0ms

series27.0ms

simplify49.0ms

prune93.0ms

localize11.0ms

rewrite44.0ms

series24.0ms

simplify58.0ms

prune145.0ms

regimes167.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample689.0ms

Profiling