Details

analyze87.0ms

Algorithm: search

sample33.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
0.0ms	6×	body	80	nan

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.4b

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))
0.2b	(* (* 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)))
2.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* (* 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

prune137.0ms

Filtered

64 candidates to 96 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

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

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)))
6.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
11.0ms	(* 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)))
2.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

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

prune134.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

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

rewrite55.0ms

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:

11.0ms	(+ y (/ (/ 1.0 x) 9.0))
21.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
8.0ms	(* 3.0 (sqrt x))
10.0ms	(/ (/ 1.0 x) 9.0)

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))
6.0ms	(* 3.0 (sqrt x))
2.0ms	(/ (/ 1.0 x) 9.0)

simplify81.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (17.0ms)

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

prune202.0ms

Filtered

107 candidates to 145 candidates (-35.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	145	9	154

Merged error: 0.0b

Counts

154 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`distribute-rgt-in` `distribute-lft-in`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`add-cube-cbrt` `associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `difference-of-squares`

Counts

3 → 77

Calls

3 calls:

5.0ms	(+ y (/ 0.1111111111111111 x))
11.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	446	618
1	1808	563
2	5001	563

prune76.0ms

Filtered

51 candidates to 86 candidates (-68.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

regimes174.0ms

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	15	7
1	15	7

end0.0ms

analyze47.0ms

Algorithm: search

sample450.0ms

Algorithm

intervals

Results

322.0ms	8000×	body	80	valid
6.0ms	148×	body	80	nan
2.0ms	59×	body	80	invalid

Details

analyze87.0ms

sample33.0ms

simplify118.0ms

prune6.0ms

localize10.0ms

rewrite26.0ms

series23.0ms

simplify65.0ms

prune137.0ms

localize9.0ms

rewrite35.0ms

series28.0ms

simplify60.0ms

prune134.0ms

localize9.0ms

rewrite55.0ms

series24.0ms

simplify81.0ms

prune202.0ms

localize8.0ms

rewrite31.0ms

series26.0ms

simplify54.0ms

prune76.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze47.0ms

sample450.0ms

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