Details

sample181.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 96.720679%

Results

11.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	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: 0.4b

Counts

2 → 1

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×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `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 → 84

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 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))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	508	558
1	2557	503
2	5001	501

prune156.0ms

Filtered

64 candidates to 96 candidates (-50.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))
9.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	435	516
1	2322	457
2	5001	453

prune146.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	100	11	111

Merged error: 0.0b

Counts

111 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

6.0ms	(+ y (/ 0.1111111111111111 x))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
5.0ms	(* 3.0 (sqrt x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ y (/ 0.1111111111111111 x))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
4.0ms	(* 3.0 (sqrt x))

simplify54.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	424	433
1	2085	388
2	5001	386

prune109.0ms

Filtered

46 candidates to 72 candidates (-56.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	72	11	83

Merged error: 0.0b

Counts

83 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))
0.3b	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`distribute-rgt-in` `distribute-lft-in`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`add-cube-cbrt` `associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `difference-of-squares`

Counts

3 → 77

Calls

3 calls:

5.0ms	(+ y (/ 0.1111111111111111 x))
13.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))
13.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series26.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ y (/ 0.1111111111111111 x))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))
10.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	446	618
1	1808	563
2	5003	563

prune81.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

regimes206.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	26	11
2	33	11
3	33	11

end0.0ms

sample731.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 96.720679%

Results

356.0ms	8000×	body	80	valid
3.0ms	75×	body	80	nan
2.0ms	50×	body	80	invalid

Details

sample181.0ms

simplify106.0ms

prune3.0ms

localize9.0ms

rewrite30.0ms

series22.0ms

simplify61.0ms

prune156.0ms

localize11.0ms

rewrite25.0ms

series24.0ms

simplify58.0ms

prune146.0ms

localize8.0ms

rewrite25.0ms

series20.0ms

simplify54.0ms

prune109.0ms

localize8.0ms

rewrite34.0ms

series26.0ms

simplify51.0ms

prune81.0ms

regimes206.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample731.0ms

Profiling