Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	292×	body	80	nan
13.0ms	267×	body	80	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	5001	7

prune2.0ms

Filtered

1 candidates to 0 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: 0.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

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

series144.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
59.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
40.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune205.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.4b	(/ 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`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `add-log-exp`
5×	`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×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

8.0ms	(+ y (/ 1.0 (* x 9.0)))
11.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
55.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
66.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	427	770
1	1858	694
2	5002	694

prune189.0ms

Filtered

110 candidates to 67 candidates (60.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-/l*`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `add-log-exp`
5×	`div-inv`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 147

Calls

4 calls:

15.0ms	(+ y (/ (/ 1.0 x) 9.0))
19.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
21.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ (/ 1.0 x) 9.0))
57.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
23.0ms	(/ (/ 1.0 x) 9.0)
62.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	649	1136
1	2707	1056
2	5001	1056

prune285.0ms

Filtered

159 candidates to 110 candidates (69.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	159	10	169

Merged error: 0.0b

Counts

169 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* 0.1111111111111111 (/ 1 x)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
0.3b	(* 0.1111111111111111 (/ 1 x))
0.3b	(* 3.0 (sqrt x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`associate-r`
20×	`add-exp-log`
19×	`*-un-lft-identity`
16×	`add-cube-cbrt` `add-cbrt-cube`
13×	`pow1`
11×	`times-frac`
8×	`prod-exp`
7×	`associate-l`
6×	`cbrt-unprod` `add-log-exp`
5×	`pow-prod-down` `unswap-sqr`
4×	`sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative`
2×	`sub-neg` `div-exp` `associate--l+`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `flip3--` `flip3-+` `1-exp` `sum-log` `un-div-inv` `flip--` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 97

Calls

4 calls:

3.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
9.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
10.0ms	(* 0.1111111111111111 (/ 1 x))
5.0ms	(* 3.0 (sqrt x))

series143.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
16.0ms	(* 0.1111111111111111 (/ 1 x))
37.0ms	(* 3.0 (sqrt x))

simplify67.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	522	597
1	2453	505
2	5001	489

prune181.0ms

Filtered

109 candidates to 71 candidates (65.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	108	11	119

Merged error: 0.0b

Counts

119 → 11

regimes78.0ms

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	15	7
1	15	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

373.0ms	8549×	body	80	valid
368.0ms	8729×	body	80	nan

Details

sample43.0ms

simplify104.0ms

prune2.0ms

localize12.0ms

rewrite26.0ms

series144.0ms

simplify52.0ms

prune205.0ms

localize9.0ms

rewrite37.0ms

series171.0ms

simplify57.0ms

prune189.0ms

localize10.0ms

rewrite66.0ms

series173.0ms

simplify69.0ms

prune285.0ms

localize9.0ms

rewrite29.0ms

series143.0ms

simplify67.0ms

prune181.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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