Details

sample70.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.609375%

Guaranteed chance to sample good point: 99.224806%

Results

11.0ms	267×	body	80	valid
0.0ms	2×	body	80	nan

simplify100.0ms

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

prune6.0ms

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	(/ 1.0 (* x 9.0))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
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)))
4.0ms	(/ 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))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
2.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))

simplify93.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (81.0ms)

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

prune182.0ms

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

localize11.0ms

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` `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))
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))

series21.0ms

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))

simplify81.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (16.0ms)

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

prune262.0ms

Filtered

106 candidates to 145 candidates (-36.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	145	13	158

Merged error: 0.0b

Counts

158 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(/ 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)))

rewrite35.0ms

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)))
4.0ms	(/ 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)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
2.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

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

prune143.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	111	12	123

Merged error: 0.0b

Counts

123 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* 0.1111111111111111 (/ 1 x)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 0.1111111111111111 (/ 1 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

2.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
9.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
5.0ms	(* 3.0 (sqrt x))
7.0ms	(* 0.1111111111111111 (/ 1 x))

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(* 0.1111111111111111 (/ 1 x))

simplify81.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	573	607
1	2837	522
2	5001	506

prune135.0ms

Filtered

73 candidates to 109 candidates (-49.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	109	12	121

Merged error: 0.0b

Counts

121 → 12

regimes218.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample633.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.609375%

Guaranteed chance to sample good point: 99.224806%

Results

376.0ms	8537×	body	80	valid
2.0ms	54×	body	80	nan

Details

sample70.0ms

simplify100.0ms

prune6.0ms

localize9.0ms

rewrite27.0ms

series22.0ms

simplify93.0ms

prune182.0ms

localize11.0ms

rewrite46.0ms

series21.0ms

simplify81.0ms

prune262.0ms

localize9.0ms

rewrite35.0ms

series31.0ms

simplify59.0ms

prune143.0ms

localize11.0ms

rewrite26.0ms

series21.0ms

simplify81.0ms

prune135.0ms

regimes218.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample633.0ms

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