Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	276×	body	80	valid
12.0ms	249×	body	80	nan

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	1600	14
1	1600	14

prune10.0ms

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

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

rewrite37.0ms

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:

6.0ms	(+ y (/ 1.0 (* x 9.0)))
17.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
14.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify23.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5340	976

prune161.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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` `associate-+r+` `div-exp` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 90

Calls

4 calls:

10.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
14.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
14.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
5.0ms	(/ 1.0 (* x 9.0))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
11.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
16.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms	(/ 1.0 (* x 9.0))

simplify24.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5557	1248

prune152.0ms

Filtered

71 candidates to 102 candidates (-43.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 0.0b

Counts

111 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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×	`associate-+r+` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log`

Counts

3 → 69

Calls

3 calls:

10.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
15.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))
16.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
14.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))
11.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4998	948
1	4998	948

prune118.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ 1 x) (/ 1.0 9.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
33×	`add-exp-log`
26×	`*-un-lft-identity`
25×	`times-frac`
24×	`associate-r`
23×	`add-cbrt-cube`
22×	`add-cube-cbrt`
17×	`associate-l`
13×	`pow1`
12×	`prod-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative`
2×	`sub-neg` `rec-exp` `1-exp` `associate--l+` `div-inv`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

3.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
11.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
12.0ms	(* (/ 1 x) (/ 1.0 9.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5042	1245

prune163.0ms

Filtered

89 candidates to 129 candidates (-44.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	129	9	138

Merged error: 0.0b

Counts

138 → 9

regimes124.0ms

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	14	12
1	14	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

406.0ms	8399×	body	80	nan
391.0ms	8589×	body	80	valid

Details

sample43.0ms

simplify34.0ms

prune10.0ms

localize10.0ms

rewrite37.0ms

series25.0ms

simplify23.0ms

prune161.0ms

localize10.0ms

rewrite46.0ms

series34.0ms

simplify24.0ms

prune152.0ms

localize9.0ms

rewrite43.0ms

series29.0ms

simplify32.0ms

prune118.0ms

localize12.0ms

rewrite39.0ms

series24.0ms

simplify48.0ms

prune163.0ms

regimes124.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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