Details

sample48.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.021362%

Guaranteed chance to sample good point: 99.984738%

Results

7.0ms	55×	body	640	valid
5.0ms	135×	body	80	valid
4.0ms	26×	body	1280	valid
3.0ms	27×	body	320	valid
1.0ms	13×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

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: 7.7b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.1b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
34.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
2.0ms	(/ 1.0 (+ x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5001	816

prune181.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Merged error: 0.2b

Counts

127 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
17.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/`
22×	`flip3--` `flip--`
16×	`frac-times` `frac-add`
13×	`add-sqr-sqrt`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-r`
8×	`associate-*r/` `add-log-exp`
7×	`add-cube-cbrt` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

10.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
9.0ms	(* (* (+ x 1.0) x) (- x 1.0))
11.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
8.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	795	1594
1	4456	1513
2	5002	1513

prune247.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	120	3	123

Merged error: 0.2b

Counts

123 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.2b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
10.0ms	(* (* (+ x 1.0) x) (- x 1.0))
11.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ x 1.0) x)
8.0ms	(* (* (+ x 1.0) x) (- x 1.0))
6.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	430	600
1	2219	516
2	5002	515

prune102.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.2b	(/ 2.0 (* (+ x 1.0) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
12.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
8.0ms	(/ 2.0 (* (+ x 1.0) x))

series13.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ x 1.0) x)
6.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
3.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	560	1012
1	2547	928
2	5002	928

prune149.0ms

Filtered

96 candidates to 131 candidates (-36.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	131	3	134

Merged error: 0b

Counts

134 → 3

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample799.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.021362%

Guaranteed chance to sample good point: 99.984738%

Results

257.0ms	1893×	body	640	valid
153.0ms	4116×	body	80	valid
104.0ms	601×	body	1280	valid
96.0ms	932×	body	320	valid
33.0ms	458×	body	160	valid

Details

sample48.0ms

simplify15.0ms

prune2.0ms

localize9.0ms

rewrite66.0ms

series17.0ms

simplify47.0ms

prune181.0ms

localize13.0ms

rewrite38.0ms

series16.0ms

simplify118.0ms

prune247.0ms

localize6.0ms

rewrite30.0ms

series18.0ms

simplify61.0ms

prune102.0ms

localize6.0ms

rewrite31.0ms

series13.0ms

simplify67.0ms

prune149.0ms

regimes25.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample799.0ms

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