Details

analyze54.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid
0.0ms	3×	body	80	nan

simplify107.0ms

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 3 expressions with local error:

0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

14.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	456	491
1	2404	431
2	5001	429

prune147.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	68	13	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	13	82

Merged error: 0.0b

Counts

82 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

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)))
0.7b	(/ 1.0 (* x 9.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

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)))
4.0ms	(/ 1.0 (* x 9.0))

series24.0ms

Counts

3 → 9

Calls

3 calls:

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)))
2.0ms	(/ 1.0 (* x 9.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	478	719
1	2120	644
2	5002	644

prune137.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (/ 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))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
55×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
49×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
12×	`associate-r`
10×	`pow1`
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*` `add-log-exp`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/` `distribute-lft-out` `difference-of-squares`

Counts

3 → 121

Calls

3 calls:

8.0ms	(/ (/ 1.0 x) 9.0)
20.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms	(* 3.0 (sqrt x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify80.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	677	857
1	3206	791
2	5001	791

prune212.0ms

Filtered

96 candidates to 130 candidates (-35.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	131	11	142

Merged error: 0.0b

Counts

142 → 11

localize9.0ms

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)))

rewrite34.0ms

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:

6.0ms	(+ y (/ 0.1111111111111111 x))
12.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
13.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

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

prune82.0ms

Filtered

51 candidates to 86 candidates (-68.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

regimes268.0ms

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	14	6
1	14	6

end0.0ms

analyze51.0ms

Algorithm: search

sample481.0ms

Algorithm

intervals

Results

343.0ms	8000×	body	80	valid
5.0ms	125×	body	80	nan
3.0ms	64×	body	80	invalid

Details

analyze54.0ms

sample19.0ms

simplify107.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series18.0ms

simplify59.0ms

prune147.0ms

localize9.0ms

rewrite30.0ms

series24.0ms

simplify58.0ms

prune137.0ms

localize9.0ms

rewrite38.0ms

series18.0ms

simplify80.0ms

prune212.0ms

localize9.0ms

rewrite34.0ms

series28.0ms

simplify51.0ms

prune82.0ms

regimes268.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze51.0ms

sample481.0ms

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