Details

sample244.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 98.135288%

Results

12.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify115.0ms

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))

rewrite28.0ms

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))
5.0ms	(* 3.0 (sqrt x))

series24.0ms

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))
6.0ms	(* 3.0 (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (56.0ms)

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

prune155.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

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:

5.0ms	(+ 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)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (14.0ms)

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

prune150.0ms

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	2	8	10
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Merged error: 0.0b

Counts

121 → 12

localize13.0ms

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))))

rewrite29.0ms

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:

5.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))
11.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

series17.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (53.0ms)

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

prune176.0ms

Filtered

74 candidates to 126 candidates (-70.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	129	9	138

Merged error: 0b

Counts

138 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.1b	(sqrt (* (* 3.0 3.0) x))
0.2b	(* (sqrt (* (* 3.0 3.0) x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
4.0ms	(sqrt (* (* 3.0 3.0) x))
15.0ms	(* (sqrt (* (* 3.0 3.0) x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(/ 1.0 (* x 9.0))

series25.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	441	576
1	1777	539
2	5001	532

prune119.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	88	8	96

Merged error: 0b

Counts

96 → 8

regimes177.0ms

Accuracy

0% (0.3b 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	8
1	17	8

end0.0ms

sample827.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.539063%

Guaranteed chance to sample good point: 98.135288%

Results

377.0ms	8000×	body	80	valid
4.0ms	84×	body	80	nan
2.0ms	40×	body	80	invalid

Details

sample244.0ms

simplify115.0ms

prune3.0ms

localize9.0ms

rewrite28.0ms

series24.0ms

simplify65.0ms

prune155.0ms

localize9.0ms

rewrite36.0ms

series30.0ms

simplify62.0ms

prune150.0ms

localize13.0ms

rewrite29.0ms

series17.0ms

simplify62.0ms

prune176.0ms

localize11.0ms

rewrite30.0ms

series25.0ms

simplify51.0ms

prune119.0ms

regimes177.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample827.0ms

Profiling