Details

sample189.0ms

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	nan
0.0ms	1×	body	80	invalid

simplify109.0ms

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: 0.3b

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))
0.2b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

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

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (55.0ms)

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

prune179.0ms

Filtered

64 candidates to 96 candidates (-50.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	13	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

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

rewrite36.0ms

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:

6.0ms	(+ 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))

series28.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

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

prune147.0ms

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	4	8	12
Picked	0	1	1
Done	0	0	0
Total	111	12	123

Merged error: 0b

Counts

123 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))
0.4b	(/ 1.0 (* x 9.0))
0.6b	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
16×	`associate-r`
13×	`associate-l`
12×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`div-inv` `associate-/l*` `unswap-sqr`
5×	`pow-prod-up`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 128

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))
2.0ms	(/ 1.0 (* x 9.0))
6.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	392	599
1	2031	524
2	5001	513

prune217.0ms

Filtered

87 candidates to 140 candidates (-60.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	140	12	152

Merged error: 0b

Counts

152 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
36×	`pow1`
28×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
22×	`pow-prod-down`
21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
11×	`add-cube-cbrt`
8×	`associate-l`
5×	`cbrt-prod` `sqrt-prod`
4×	`add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `associate--l+` `distribute-lft-out--`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv` `distribute-lft-out` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

18.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
5.0ms	(* (cbrt 3.0) (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series30.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
5.0ms	(* (cbrt 3.0) (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	607	1133
1	3235	862
2	5002	805

prune166.0ms

Filtered

72 candidates to 120 candidates (-66.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	120	12	132

Merged error: 0b

Counts

132 → 12

regimes226.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample723.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 96.720679%

Results

342.0ms	8000×	body	80	valid
5.0ms	50×	body	80	nan
1.0ms	30×	body	80	invalid

Details

sample189.0ms

simplify109.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series26.0ms

simplify63.0ms

prune179.0ms

localize9.0ms

rewrite36.0ms

series28.0ms

simplify59.0ms

prune147.0ms

localize12.0ms

rewrite29.0ms

series14.0ms

simplify66.0ms

prune217.0ms

localize15.0ms

rewrite41.0ms

series30.0ms

simplify87.0ms

prune166.0ms

regimes226.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample723.0ms

Profiling