Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	268×	body	80	valid
10.0ms	268×	body	80	nan

simplify105.0ms

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

prune4.0ms

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: 0.3b

Counts

2 → 1

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))

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

series214.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
114.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
56.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (54.0ms)

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

prune292.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	9	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize9.0ms

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

rewrite33.0ms

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

series248.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
114.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
92.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

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

prune315.0ms

Filtered

110 candidates to 69 candidates (62.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

5.0ms	(+ y (/ 0.1111111111111111 x))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))
14.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series240.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ y (/ 0.1111111111111111 x))
116.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))
94.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	446	618
1	1808	563
2	5003	563

prune242.0ms

Filtered

86 candidates to 51 candidates (59.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Merged error: 0b

Counts

94 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* 0.1111111111111111 (/ 1 x)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 0.1111111111111111 (/ 1 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

2.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
9.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
4.0ms	(* 3.0 (sqrt x))
7.0ms	(* 0.1111111111111111 (/ 1 x))

series220.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
117.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
61.0ms	(* 3.0 (sqrt x))
16.0ms	(* 0.1111111111111111 (/ 1 x))

simplify75.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	573	607
1	2837	522
2	5001	506

prune300.0ms

Filtered

109 candidates to 73 candidates (67.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Merged error: 0b

Counts

118 → 8

regimes190.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b 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

sample1.1s

Algorithm

intervals

Results

354.0ms	8543×	body	80	valid
340.0ms	8380×	body	80	nan

Details

sample41.0ms

simplify105.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series214.0ms

simplify61.0ms

prune292.0ms

localize9.0ms

rewrite33.0ms

series248.0ms

simplify60.0ms

prune315.0ms

localize9.0ms

rewrite34.0ms

series240.0ms

simplify57.0ms

prune242.0ms

localize10.0ms

rewrite26.0ms

series220.0ms

simplify75.0ms

prune300.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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