Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	270×	body	80	valid
11.0ms	265×	body	80	nan

simplify113.0ms

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (57.0ms)

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

prune158.0ms

Filtered

96 candidates to 64 candidates (33.3%)

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

rewrite43.0ms

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)))
16.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

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

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

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

prune151.0ms

Filtered

110 candidates to 69 candidates (37.3%)

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: 0.0b

Counts

123 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 83

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(* (* 3.0 (sqrt x)) y)
4.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	369	418
1	1831	372
2	5002	364

prune137.0ms

Filtered

95 candidates to 65 candidates (31.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	95	12	107

Merged error: 0.0b

Counts

107 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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))
18.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

series24.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (/ (/ 1.0 x) 9.0))
11.0ms	(* (* 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

prune190.0ms

Filtered

145 candidates to 107 candidates (26.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	145	12	157

Merged error: 0.0b

Counts

157 → 12

regimes267.0ms

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

sample1.3s

Algorithm

intervals

Results

401.0ms	8528×	body	80	valid
394.0ms	8510×	body	80	nan

Details

sample41.0ms

simplify113.0ms

prune7.0ms

localize10.0ms

rewrite26.0ms

series23.0ms

simplify65.0ms

prune158.0ms

localize9.0ms

rewrite43.0ms

series28.0ms

simplify60.0ms

prune151.0ms

localize10.0ms

rewrite22.0ms

series19.0ms

simplify50.0ms

prune137.0ms

localize11.0ms

rewrite44.0ms

series24.0ms

simplify80.0ms

prune190.0ms

regimes267.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling