Details

analyze48.0ms

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

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid
0.0ms	2×	body	80	nan

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

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: 0.2b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
13.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
4.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
20.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5778	1241

prune159.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

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))

rewrite27.0ms

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))

series21.0ms

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))

simplify27.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5384	938

prune136.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 61

Calls

3 calls:

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

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ y (/ 0.1111111111111111 x))
14.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
4.0ms	(* 3.0 (sqrt x))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4998	698
1	4998	698

prune104.0ms

Filtered

46 candidates to 70 candidates (-52.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ 1.0 (* x 9.0)) 1.0) 3.0)
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (sqrt x) (* (- (/ 1.0 (* x 9.0)) 1.0) 3.0))
0.3b	(* (sqrt x) (* y 3.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

9.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) 3.0)
4.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* (sqrt x) (* (- (/ 1.0 (* x 9.0)) 1.0) 3.0))
5.0ms	(* (sqrt x) (* y 3.0))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) 3.0)
2.0ms	(/ 1.0 (* x 9.0))
7.0ms	(* (sqrt x) (* (- (/ 1.0 (* x 9.0)) 1.0) 3.0))
11.0ms	(* (sqrt x) (* y 3.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4987	1010
1	4987	1010

prune116.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	98	11	109

Merged error: 0b

Counts

109 → 11

regimes129.0ms

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	24	12
1	24	12

end0.0ms

sample496.0ms

Algorithm

intervals

Results

344.0ms	8000×	body	80	valid
5.0ms	116×	body	80	nan
3.0ms	79×	body	80	invalid

Details

analyze48.0ms

sample18.0ms

simplify148.0ms

prune9.0ms

localize13.0ms

rewrite39.0ms

series39.0ms

simplify42.0ms

prune159.0ms

localize9.0ms

rewrite27.0ms

series21.0ms

simplify27.0ms

prune136.0ms

localize8.0ms

rewrite25.0ms

series22.0ms

simplify38.0ms

prune104.0ms

localize12.0ms

rewrite32.0ms

series26.0ms

simplify40.0ms

prune116.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample496.0ms

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