Details

sample120.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 51.074219%

Guaranteed chance to sample good point: 98.203593%

Results

15.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify104.0ms

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))

rewrite27.0ms

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)))
11.0ms	(* (* 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))

series25.0ms

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))
7.0ms	(* 3.0 (sqrt x))

simplify62.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (54.0ms)

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

prune155.0ms

Filtered

64 candidates to 96 candidates (-50.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
11.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
10.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
2.0ms	(/ 1.0 (* x 9.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	530	786
1	2273	716
2	5001	716

prune153.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	110	12	122

Merged error: 0.0b

Counts

122 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.2b	(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
0.3b	(/ 1.0 (* x 9.0))
0.4b	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

51×	`distribute-rgt-in` `distribute-lft-in`
25×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
21×	`associate-l` `sqrt-prod`
20×	`pow1`
19×	`*-un-lft-identity`
14×	`add-cube-cbrt` `sub-neg` `associate--l+`
12×	`associate-*r/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-r`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `-commutative` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

14.0ms	(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
4.0ms	(/ 1.0 (* x 9.0))
15.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
2.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	694	1639
1	2791	1263
2	5003	1251

prune207.0ms

Filtered

84 candidates to 155 candidates (-84.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	155	12	167

Merged error: 0.0b

Counts

167 → 12

localize26.0ms

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))
0.5b	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
28×	`sqrt-pow1`
26×	`add-sqr-sqrt`
22×	`pow-prod-down`
16×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
15×	`add-exp-log` `add-cbrt-cube`
12×	`sqrt-prod`
10×	`pow1/2` `associate-l` `pow-prod-up`
6×	`pow-sqr`
5×	`unswap-sqr`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r*` `rem-square-sqrt` `div-inv`

Counts

4 → 114

Calls

4 calls:

8.0ms	(/ 1.0 (* x 9.0))
9.0ms	(* 3.0 (sqrt x))
9.0ms	(* 3.0 (sqrt x))
17.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(* 3.0 (sqrt x))
6.0ms	(* 3.0 (sqrt x))
12.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	355	473
1	1859	416
2	5001	408

prune148.0ms

Filtered

74 candidates to 126 candidates (-70.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	127	11	138

Merged error: 0b

Counts

138 → 11

regimes215.0ms

Accuracy

0% (0.3b 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	17	8
1	17	8

end0.0ms

sample663.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 51.074219%

Guaranteed chance to sample good point: 98.203593%

Results

354.0ms	8000×	body	80	valid
13.0ms	312×	body	80	invalid
3.0ms	62×	body	80	nan

Details

sample120.0ms

simplify104.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series25.0ms

simplify62.0ms

prune155.0ms

localize9.0ms

rewrite34.0ms

series29.0ms

simplify60.0ms

prune153.0ms

localize11.0ms

rewrite55.0ms

series38.0ms

simplify75.0ms

prune207.0ms

localize26.0ms

rewrite50.0ms

series29.0ms

simplify68.0ms

prune148.0ms

regimes215.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample663.0ms

Profiling