Details

analyze48.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample22.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	7×	body	80	nan
0.0ms	3×	body	80	invalid

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4819	14
1	4819	14

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l` `add-log-exp`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `sqrt-prod` `distribute-lft-out`
3×	`flip3-+` `times-frac` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
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))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
10.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
14.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms	(/ 1.0 (* x 9.0))

simplify27.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5778	1241

prune165.0ms

Filtered

72 candidates to 101 candidates (-40.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 0.0b

Counts

103 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

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

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×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 82

Calls

4 calls:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify25.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5384	938

prune139.0ms

Filtered

62 candidates to 94 candidates (-51.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	94	12	106

Merged error: 0b

Counts

106 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`associate-l`
8×	`add-cube-cbrt`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `distribute-lft-out`
3×	`flip3-+` `flip-+` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `sum-log` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `times-frac` `flip--`

Counts

4 → 82

Calls

4 calls:

7.0ms	(- (/ 0.1111111111111111 x) 1.0)
8.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
11.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
13.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (/ 0.1111111111111111 x) 1.0)
4.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
10.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

simplify29.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5254	1095

prune135.0ms

Filtered

62 candidates to 94 candidates (-51.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	94	12	106

Merged error: 0b

Counts

106 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.4b	(* (/ 1 x) (/ 1.0 9.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
33×	`add-exp-log`
26×	`*-un-lft-identity`
25×	`times-frac`
24×	`associate-r`
23×	`add-cbrt-cube`
22×	`add-cube-cbrt`
17×	`associate-l`
13×	`pow1`
12×	`prod-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sqrt-prod`
3×	`associate-r/` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate--l+` `div-inv`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

5.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
4.0ms	(* 3.0 (sqrt x))
10.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
10.0ms	(* (/ 1 x) (/ 1.0 9.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
4.0ms	(* 3.0 (sqrt x))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
2.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4976	1207
1	4976	1207

prune150.0ms

Filtered

89 candidates to 127 candidates (-42.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	127	12	139

Merged error: 0b

Counts

139 → 12

regimes139.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	23
1	32	23

end0.0ms

sample610.0ms

Algorithm

intervals

Results

434.0ms	8000×	body	80	valid
7.0ms	124×	body	80	nan
4.0ms	83×	body	80	invalid

Details

analyze48.0ms

sample22.0ms

simplify148.0ms

prune9.0ms

localize9.0ms

rewrite38.0ms

series29.0ms

simplify27.0ms

prune165.0ms

localize9.0ms

rewrite26.0ms

series23.0ms

simplify25.0ms

prune139.0ms

localize10.0ms

rewrite41.0ms

series28.0ms

simplify29.0ms

prune135.0ms

localize10.0ms

rewrite34.0ms

series22.0ms

simplify88.0ms

prune150.0ms

regimes139.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample610.0ms

Profiling