Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	54×	body	640	valid
5.0ms	144×	body	80	valid
3.0ms	29×	body	320	valid
2.0ms	13×	body	1280	valid
1.0ms	16×	body	160	valid

simplify14.0ms

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

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: 8.9b

Counts

2 → 1

localize8.0ms

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))
2.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite59.0ms

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))
18.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
28.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1.0 (+ x 1.0))
32.0ms	(/ 1.0 (- x 1.0))
41.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
219.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

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

prune302.0ms

Filtered

126 candidates to 92 candidates (73.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	3	127

Merged error: 0.2b

Counts

127 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

22.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
12.0ms	(* (* (+ x 1.0) x) (- x 1.0))
10.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
43.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
100.0ms	(* (* (+ 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))

simplify45.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	997	2264
1	5001	2129

prune473.0ms

Filtered

136 candidates to 108 candidates (79.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	136	3	139

Merged error: 0.2b

Counts

139 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (* (+ x 1.0) x) (- x 1.0))
10.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* (* (+ x 1.0) x) (- x 1.0))
91.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	398	514
1	1892	442
2	5002	441

prune161.0ms

Filtered

69 candidates to 47 candidates (68.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.6b	(/ 2.0 (* (+ x 1.0) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
14×	`associate-*l/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
6×	`associate-/r*`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 101

Calls

2 calls:

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

series125.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
35.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	535	926
1	2362	854
2	5002	854

prune240.0ms

Filtered

107 candidates to 81 candidates (75.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	108	4	112

Merged error: 0b

Counts

112 → 4

regimes30.0ms

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

sample726.0ms

Algorithm

intervals

Results

241.0ms	1860×	body	640	valid
140.0ms	4165×	body	80	valid
91.0ms	915×	body	320	valid
91.0ms	559×	body	1280	valid
32.0ms	501×	body	160	valid

Details

sample25.0ms

simplify14.0ms

prune2.0ms

localize8.0ms

rewrite59.0ms

series316.0ms

simplify46.0ms

prune302.0ms

localize13.0ms

rewrite55.0ms

series234.0ms

simplify45.0ms

prune473.0ms

localize6.0ms

rewrite21.0ms

series189.0ms

simplify51.0ms

prune161.0ms

localize6.0ms

rewrite20.0ms

series125.0ms

simplify67.0ms

prune240.0ms

regimes30.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample726.0ms

Profiling