Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	270×	body	80	valid
12.0ms	287×	body	80	nan

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	1600	14
1	1600	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: 0.3b

Counts

2 → 2

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

rewrite28.0ms

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)))
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))

series23.0ms

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))
2.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

simplify28.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5351	976

prune146.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	86	10	96
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Merged error: 0.0b

Counts

98 → 10

localize8.0ms

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	(* 3.0 (sqrt x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

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

series20.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5006	732

prune102.0ms

Filtered

47 candidates to 72 candidates (-53.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`associate-l`
11×	`add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`sqrt-prod` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `distribute-rgt-neg-out` `flip-+` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
6.0ms	(* 3.0 (* (sqrt x) (neg 1.0)))
11.0ms	(* 3.0 (* (sqrt x) (+ (/ 1.0 (* x 9.0)) y)))
12.0ms	(* (sqrt x) (+ (/ 1.0 (* x 9.0)) y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (* (sqrt x) (neg 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ (/ 1.0 (* x 9.0)) y)))
10.0ms	(* (sqrt x) (+ (/ 1.0 (* x 9.0)) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5368	1118

prune154.0ms

Filtered

72 candidates to 103 candidates (-43.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (+ (/ 1.0 (* x 9.0)) y))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (sqrt x) (neg 1.0)))
0.3b	(* (sqrt x) (* 3.0 (+ (/ 1.0 (* x 9.0)) y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

15.0ms	(* 3.0 (+ (/ 1.0 (* x 9.0)) y))
7.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (* (sqrt x) (neg 1.0)))
12.0ms	(* (sqrt x) (* 3.0 (+ (/ 1.0 (* x 9.0)) y)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* 3.0 (+ (/ 1.0 (* x 9.0)) y))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (* (sqrt x) (neg 1.0)))
193.0ms	(* (sqrt x) (* 3.0 (+ (/ 1.0 (* x 9.0)) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5014	1042

prune133.0ms

Filtered

70 candidates to 102 candidates (-45.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

regimes105.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	37	20
1	37	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

369.0ms	8512×	body	80	valid
368.0ms	8530×	body	80	nan

Details

sample44.0ms

simplify41.0ms

prune9.0ms

localize9.0ms

rewrite28.0ms

series23.0ms

simplify28.0ms

prune146.0ms

localize8.0ms

rewrite24.0ms

series20.0ms

simplify37.0ms

prune102.0ms

localize12.0ms

rewrite35.0ms

series29.0ms

simplify50.0ms

prune154.0ms

localize22.0ms

rewrite46.0ms

series204.0ms

simplify38.0ms

prune133.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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