Details

analyze47.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample20.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	3×	body	80	nan
0.0ms	1×	body	80	invalid

simplify150.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4819	14
1	4819	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×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 82

Calls

4 calls:

5.0ms	(+ 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))

series22.0ms

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))
4.0ms	(* 3.0 (sqrt x))

simplify29.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5384	938

prune157.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	9	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
6.0ms	(+ y (/ 0.1111111111111111 x))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
5.0ms	(* 3.0 (sqrt x))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5002	890

prune123.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	90	9	99

Merged error: 0.0b

Counts

99 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
12.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
13.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

series27.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
11.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5104	949

prune95.0ms

Filtered

50 candidates to 77 candidates (-54.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	77	9	86

Merged error: 0.0b

Counts

86 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3.0 (* (sqrt x) (+ y (/ 0.1111111111111111 x)))) (* 3.0 (* (sqrt x) (neg 1.0))))
0.3b	(* 3.0 (* (sqrt x) (+ y (/ 0.1111111111111111 x))))
0.3b	(* 3.0 (* (sqrt x) (neg 1.0)))
0.4b	(* (sqrt x) (+ y (/ 0.1111111111111111 x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

12.0ms	(+ (* 3.0 (* (sqrt x) (+ y (/ 0.1111111111111111 x)))) (* 3.0 (* (sqrt x) (neg 1.0))))
10.0ms	(* 3.0 (* (sqrt x) (+ y (/ 0.1111111111111111 x))))
6.0ms	(* 3.0 (* (sqrt x) (neg 1.0)))
9.0ms	(* (sqrt x) (+ y (/ 0.1111111111111111 x)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* 3.0 (* (sqrt x) (+ y (/ 0.1111111111111111 x)))) (* 3.0 (* (sqrt x) (neg 1.0))))
12.0ms	(* 3.0 (* (sqrt x) (+ y (/ 0.1111111111111111 x))))
4.0ms	(* 3.0 (* (sqrt x) (neg 1.0)))
10.0ms	(* (sqrt x) (+ y (/ 0.1111111111111111 x)))

simplify29.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5035	1197

prune122.0ms

Filtered

73 candidates to 99 candidates (-35.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

regimes124.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample462.0ms

Algorithm

intervals

Results

328.0ms	8000×	body	80	valid
5.0ms	118×	body	80	nan
3.0ms	58×	body	80	invalid

Details

analyze47.0ms

sample20.0ms

simplify150.0ms

prune9.0ms

localize9.0ms

rewrite28.0ms

series22.0ms

simplify29.0ms

prune157.0ms

localize10.0ms

rewrite34.0ms

series23.0ms

simplify40.0ms

prune123.0ms

localize8.0ms

rewrite35.0ms

series27.0ms

simplify37.0ms

prune95.0ms

localize13.0ms

rewrite40.0ms

series44.0ms

simplify29.0ms

prune122.0ms

regimes124.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample462.0ms

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