Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	265×	body	80	valid
10.0ms	240×	body	80	nan

simplify112.0ms

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

prune2.0ms

Filtered

1 candidates to 0 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: 0.4b

Counts

2 → 1

localize10.0ms

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))

rewrite29.0ms

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:

5.0ms	(+ 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))

series167.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
88.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
40.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune200.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	82	14	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	14	97

Merged error: 0.0b

Counts

97 → 14

localize10.0ms

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

rewrite41.0ms

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)))
12.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(/ 1.0 (* x 9.0))
15.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
54.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	427	770
1	1858	694
2	5002	694

prune200.0ms

Filtered

110 candidates to 67 candidates (60.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	112	12	124

Merged error: 0.0b

Counts

124 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

7.0ms	(* 0.1111111111111111 (/ 1 x))
10.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series122.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* 0.1111111111111111 (/ 1 x))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
41.0ms	(* 3.0 (sqrt x))

simplify61.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	475	536
1	2296	441
2	5002	425

prune178.0ms

Filtered

95 candidates to 60 candidates (63.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	95	12	107

Merged error: 0.0b

Counts

107 → 12

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
0.3b	(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`-un-lft-identity` `associate-r*`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `associate-*r/`
6×	`add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`sqrt-prod`
2×	`flip3--` `flip3-+` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

13.0ms	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
16.0ms	(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
65.0ms	(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	362	410
1	1728	356
2	5002	354

prune115.0ms

Filtered

57 candidates to 37 candidates (64.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	57	12	69

Merged error: 0.0b

Counts

69 → 12

regimes143.0ms

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	18	6
1	18	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

392.0ms	8569×	body	80	valid
371.0ms	8467×	body	80	nan

Details

sample37.0ms

simplify112.0ms

prune2.0ms

localize10.0ms

rewrite29.0ms

series167.0ms

simplify56.0ms

prune200.0ms

localize10.0ms

rewrite41.0ms

series161.0ms

simplify52.0ms

prune200.0ms

localize10.0ms

rewrite25.0ms

series122.0ms

simplify61.0ms

prune178.0ms

localize12.0ms

rewrite30.0ms

series92.0ms

simplify49.0ms

prune115.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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