Details

analyze56.0ms

Algorithm: search

sample18.0ms

Algorithm

intervals

Results

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

simplify102.0ms

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

prune3.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b	(/ 1.0 (* x 9.0))

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

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
4.0ms	(* 3.0 (sqrt x))
15.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms	(/ 1.0 (* x 9.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	508	558
1	2557	503
2	5001	501

prune162.0ms

Filtered

64 candidates to 96 candidates (-50.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	82	14	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	14	97

Merged error: 0.0b

Counts

97 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
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)))
0.5b	(/ 1.0 (* x 9.0))

rewrite36.0ms

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:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (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))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
10.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
2.0ms	(/ 1.0 (* x 9.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	530	786
1	2273	716
2	5001	716

prune141.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	112	12	124

Merged error: 0b

Counts

124 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
4.0ms	(* 3.0 (sqrt x))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
2.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	731	811
1	3743	694
2	5001	684

prune180.0ms

Filtered

88 candidates to 129 candidates (-46.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	129	12	141

Merged error: 0b

Counts

141 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

22.0ms	(+ (/ (/ 1.0 9.0) x) y)
21.0ms	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
21.0ms	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
6.0ms	(/ (/ 1.0 9.0) x)

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify94.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	694	981
1	3098	906
2	5002	906

prune215.0ms

Filtered

107 candidates to 146 candidates (-36.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	146	12	158

Merged error: 0b

Counts

158 → 12

regimes135.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

analyze53.0ms

Algorithm: search

sample482.0ms

Algorithm

intervals

Results

341.0ms	8000×	body	80	valid
6.0ms	131×	body	80	nan
3.0ms	68×	body	80	invalid

Details

analyze56.0ms

sample18.0ms

simplify102.0ms

prune3.0ms

localize9.0ms

rewrite27.0ms

series25.0ms

simplify64.0ms

prune162.0ms

localize9.0ms

rewrite36.0ms

series28.0ms

simplify59.0ms

prune141.0ms

localize10.0ms

rewrite31.0ms

series24.0ms

simplify91.0ms

prune180.0ms

localize11.0ms

rewrite79.0ms

series38.0ms

simplify94.0ms

prune215.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze53.0ms

sample482.0ms

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