Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

sample39.0ms

Algorithm

intervals

Results

7.0ms	53×	body	640	valid
5.0ms	135×	body	80	valid
4.0ms	22×	body	1280	valid
3.0ms	32×	body	320	valid
1.0ms	14×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	880	15
1	880	15

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 9.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
9.4b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
32×	`times-frac`
24×	`add-sqr-sqrt`
13×	`distribute-lft-out`
12×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `frac-add` `associate-/l*`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `associate-/r/` `frac-sub` `flip--` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `associate-+l+` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 75

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
16.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
33.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

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)))

simplify77.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4892	1215
1	4892	1215

prune131.0ms

Filtered

65 candidates to 84 candidates (-29.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Merged error: 0.5b

Counts

85 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
9.4b	(+ (/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x))) (/ 1.0 (- x 1.0)))
13.8b	(/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

6.0ms	(* x (+ 1.0 x))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
22.0ms	(+ (/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x))) (/ 1.0 (- x 1.0)))
9.0ms	(/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ 1.0 x))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
12.0ms	(+ (/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x))) (/ 1.0 (- x 1.0)))
5.0ms	(/ (- (* 1.0 x) (* (+ 1.0 x) 2.0)) (* x (+ 1.0 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4947	1097
1	4947	1097

prune111.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0.5b

Counts

90 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
0.1b	(* x (- (* x x) (* 1.0 1.0)))
0.5b	(/ (+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x)))) (* x (- (* x x) (* 1.0 1.0))))
29.8b	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))
19.0ms	(/ (+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x)))) (* x (- (* x x) (* 1.0 1.0))))
12.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

series16.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))
5.0ms	(/ (+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x)))) (* x (- (* x x) (* 1.0 1.0))))
1.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5445	3703

prune318.0ms

Filtered

97 candidates to 120 candidates (-23.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	1	1
Picked	1	0	1
Done	2	0	2
Total	122	2	124

Merged error: 0.5b

Counts

124 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- (* x x) (* 1.0 1.0)))
0.5b	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (- (* x x) (* 1.0 1.0)))
5.0ms	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5673	585

prune69.0ms

Filtered

39 candidates to 52 candidates (-33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

regimes31.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

251.0ms	1870×	body	640	valid
141.0ms	4194×	body	80	valid
96.0ms	938×	body	320	valid
92.0ms	543×	body	1280	valid
30.0ms	455×	body	160	valid

Details

analyze6.0ms

sample39.0ms

simplify54.0ms

prune4.0ms

localize8.0ms

rewrite57.0ms

series15.0ms

simplify77.0ms

prune131.0ms

localize11.0ms

rewrite41.0ms

series25.0ms

simplify54.0ms

prune111.0ms

localize18.0ms

rewrite46.0ms

series16.0ms

simplify51.0ms

prune318.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify49.0ms

prune69.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling