Details

sample42.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results

11.0ms	279×	body	80	valid
5.0ms	133×	body	80	nan

simplify101.0ms

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))

rewrite31.0ms

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)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* 3.0 (sqrt x))

series23.0ms

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))
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 (53.0ms)

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

prune156.0ms

Filtered

64 candidates to 96 candidates (-50.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	86	10	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

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))

rewrite50.0ms

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` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*`
2×	`sub-neg` `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 → 133

Calls

4 calls:

12.0ms	(+ y (/ (/ 1.0 x) 9.0))
22.0ms	(* (* 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))

series23.0ms

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))

simplify80.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	730	924
1	3357	863
2	5001	863

prune240.0ms

Filtered

107 candidates to 145 candidates (-35.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	144	11	155

Merged error: 0.0b

Counts

155 → 11

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

rewrite65.0ms

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

Counts

4 → 147

Calls

4 calls:

12.0ms	(+ y (/ (/ 1.0 x) 9.0))
19.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
22.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series33.0ms

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))
2.0ms	(/ (/ 1.0 x) 9.0)
16.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	752	1152
1	3141	1078
2	5003	1078

prune257.0ms

Filtered

112 candidates to 159 candidates (-42.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	160	10	170

Merged error: 0.0b

Counts

170 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
73×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`add-cube-cbrt`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
14×	`associate-r`
13×	`associate-/l*`
10×	`pow1`
8×	`sqrt-prod`
5×	`div-inv` `unswap-sqr`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `difference-of-squares`
2×	`sub-neg`
1×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 147

Calls

4 calls:

24.0ms	(* (sqrt x) (- (/ (/ 1.0 x) 9.0) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* (sqrt x) y)
7.0ms	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ (/ 1.0 x) 9.0) 1.0))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (sqrt x) (- (/ (/ 1.0 x) 9.0) 1.0))
2.0ms	(/ (/ 1.0 x) 9.0)
9.0ms	(* (sqrt x) y)
17.0ms	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ (/ 1.0 x) 9.0) 1.0))))

simplify94.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	845	1115
1	3785	1047
2	5001	1045

prune233.0ms

Filtered

124 candidates to 159 candidates (-28.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	159	10	169

Merged error: 0.0b

Counts

169 → 10

regimes203.0ms

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	17	9
1	17	9

end0.0ms

sample855.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results

359.0ms	8547×	body	80	valid
183.0ms	4498×	body	80	nan

Details

sample42.0ms

simplify101.0ms

prune3.0ms

localize9.0ms

rewrite31.0ms

series23.0ms

simplify61.0ms

prune156.0ms

localize9.0ms

rewrite50.0ms

series23.0ms

simplify80.0ms

prune240.0ms

localize9.0ms

rewrite65.0ms

series33.0ms

simplify91.0ms

prune257.0ms

localize11.0ms

rewrite47.0ms

series35.0ms

simplify94.0ms

prune233.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample855.0ms

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