Details

sample27.0ms

Algorithm

intervals

Results

11.0ms	319×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify322.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (320.0ms)

Iter	Nodes	Cost
0	3091	13
1	3091	13

prune13.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series26.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify33.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5402	1143

prune147.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
0.0b	(* z (- x y))
0.0b	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
0.3b	(* 6.0 (* z (- x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

11.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
6.0ms	(* z (- x y))
9.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
9.0ms	(* 6.0 (* z (- x y)))

series39.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
6.0ms	(* z (- x y))
12.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
8.0ms	(* 6.0 (* z (- x y)))

simplify32.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5012	1655

prune133.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	109	10	119

Merged error: 0.0b

Counts

119 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
0.0b	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (neg z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

7.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
3.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
6.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (neg z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
6.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
4.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) (neg z))

simplify41.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4979	1228
1	4979	1228

prune140.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* y 4.0) (* x 3.0)) (* (* (- y x) 6.0) (neg z)))
0.0b	(- (* y 4.0) (* x 3.0))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (neg z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(+ (- (* y 4.0) (* x 3.0)) (* (* (- y x) 6.0) (neg z)))
3.0ms	(- (* y 4.0) (* x 3.0))
8.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (neg z))

series27.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (- (* y 4.0) (* x 3.0)) (* (* (- y x) 6.0) (neg z)))
4.0ms	(- (* y 4.0) (* x 3.0))
4.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) (neg z))

simplify37.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4995	1141
1	4995	1141

prune101.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

regimes301.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample772.0ms

Algorithm

intervals

Results

336.0ms	9372×	body	80	valid
37.0ms	279×	body	640	valid
24.0ms	145×	body	1280	valid
21.0ms	212×	body	320	valid
8.0ms	117×	body	160	valid

Details

sample27.0ms

simplify322.0ms

prune13.0ms

localize9.0ms

rewrite31.0ms

series26.0ms

simplify33.0ms

prune147.0ms

localize12.0ms

rewrite39.0ms

series39.0ms

simplify32.0ms

prune133.0ms

localize11.0ms

rewrite26.0ms

series30.0ms

simplify41.0ms

prune140.0ms

localize10.0ms

rewrite28.0ms

series27.0ms

simplify37.0ms

prune101.0ms

regimes301.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample772.0ms

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