Details

analyze51.0ms

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
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid
0.0ms	4×	body	80	nan

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4819	14
1	4819	14

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify26.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5384	938

prune145.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	10	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
0.2b	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

10.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
12.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
10.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
2.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

simplify27.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5778	1241

prune139.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	100	12	112

Merged error: 0.0b

Counts

112 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 x) 9.0))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

12.0ms	(+ y (/ (/ 1.0 x) 9.0))
19.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ (/ 1.0 x) 9.0))
14.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
2.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

simplify33.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5548	1567

prune215.0ms

Filtered

108 candidates to 143 candidates (-32.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	143	12	155

Merged error: 0.0b

Counts

155 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
0.2b	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
0.3b	(* 3.0 (sqrt x))
0.5b	(* (/ (sqrt (/ 1.0 x)) (sqrt 9.0)) (/ (sqrt (/ 1.0 x)) (sqrt 9.0)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

1162×	`times-frac`
1006×	`sqrt-prod`
869×	`add-sqr-sqrt`
551×	`add-cube-cbrt` `*-un-lft-identity`
148×	`swap-sqr`
106×	`associate-r`
103×	`associate-l`
51×	`unswap-sqr`
48×	`div-inv`
32×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-/r*`
6×	`cbrt-undiv` `sqrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`frac-2neg` `sqrt-div` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt` `pow-sqr` `pow-prod-up`

Counts

4 → 709

Calls

4 calls:

8.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
8.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
5.0ms	(* 3.0 (sqrt x))
138.0ms	(* (/ (sqrt (/ 1.0 x)) (sqrt 9.0)) (/ (sqrt (/ 1.0 x)) (sqrt 9.0)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
6.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
4.0ms	(* 3.0 (sqrt x))
14.0ms	(* (/ (sqrt (/ 1.0 x)) (sqrt 9.0)) (/ (sqrt (/ 1.0 x)) (sqrt 9.0)))

simplify120.0ms

Algorithm

egg-herbie

Counts

721 → 721

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5124	13141

prune1.9s

Filtered

386 candidates to 721 candidates (-86.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	721	0	721
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	721	12	733

Merged error: 0.0b

Counts

733 → 12

regimes138.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample474.0ms

Algorithm

intervals

Results

332.0ms	8000×	body	80	valid
5.0ms	127×	body	80	nan
3.0ms	69×	body	80	invalid

Details

analyze51.0ms

sample18.0ms

simplify151.0ms

prune9.0ms

localize9.0ms

rewrite30.0ms

series22.0ms

simplify26.0ms

prune145.0ms

localize9.0ms

rewrite41.0ms

series27.0ms

simplify27.0ms

prune139.0ms

localize9.0ms

rewrite46.0ms

series24.0ms

simplify33.0ms

prune215.0ms

localize12.0ms

rewrite225.0ms

series31.0ms

simplify120.0ms

prune1.9s

regimes138.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample474.0ms

Profiling