Details

sample61.0ms

Algorithm

intervals

Results

19.0ms	278×	body	80	valid
17.0ms	268×	body	80	nan

simplify158.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

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

localize10.0ms

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

rewrite31.0ms

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:

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))
8.0ms	(* 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))

simplify27.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5384	976

prune230.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	12	98

Merged error: 0.0b

Counts

98 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (* x 9.0)) 1.0)
0.2b	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l`
6×	`associate-r/` `associate-r*` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `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×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

13.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
16.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
6.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
18.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))
22.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

simplify36.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5831	1192

prune148.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	99	12	111

Merged error: 0.0b

Counts

111 → 12

localize9.0ms

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))

rewrite33.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+` `distribute-lft-out`
2×	`flip3--` `diff-log` `associate-r/` `sum-log` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 80

Calls

4 calls:

8.0ms	(- (+ 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))

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5002	926

prune135.0ms

Filtered

60 candidates to 92 candidates (-53.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	92	12	104

Merged error: 0.0b

Counts

104 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (* x 9.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
0.3b	(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
0.4b	(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
19.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
14.0ms	(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
14.0ms	(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (* x 9.0))
15.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
7.0ms	(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
17.0ms	(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4968	1521
1	4968	1521

prune183.0ms

Filtered

71 candidates to 112 candidates (-57.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	5	4	9
Picked	1	0	1
Done	0	2	2
Total	114	10	124

Merged error: 0b

Counts

124 → 10

regimes135.0ms

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	26	14
1	26	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

362.0ms	8521×	body	80	valid
345.0ms	8366×	body	80	nan

Details

sample61.0ms

simplify158.0ms

prune9.0ms

localize10.0ms

rewrite31.0ms

series22.0ms

simplify27.0ms

prune230.0ms

localize18.0ms

rewrite53.0ms

series49.0ms

simplify36.0ms

prune148.0ms

localize9.0ms

rewrite33.0ms

series26.0ms

simplify39.0ms

prune135.0ms

localize13.0ms

rewrite55.0ms

series41.0ms

simplify56.0ms

prune183.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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