Details

analyze4.0ms

Algorithm

Search

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

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	523	11
1	523	11

prune9.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5315	995

prune116.0ms

Filtered

72 candidates to 96 candidates (-33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))))
0.0b	(/ x (+ 1.0 x))
0.0b	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
36×	`times-frac`
25×	`distribute-lft-out`
16×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod`
9×	`log-pow` `add-log-exp`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
5×	`pow1`
4×	`log-prod` `associate-/r*`
3×	`associate-/l*`
2×	`flip3-+` `exp-sum` `sum-log` `associate-/r/` `flip-+` `rem-exp-log`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `frac-add` `clear-num` `div-inv`

Counts

4 → 89

Calls

4 calls:

26.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))))
5.0ms	(/ x (+ 1.0 x))
28.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))))
2.0ms	(/ x (+ 1.0 x))
10.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5282	1097

prune126.0ms

Filtered

66 candidates to 101 candidates (-53.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	2	103

Merged error: 0b

Counts

103 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ 1.0 x))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
52×	`times-frac`
39×	`distribute-lft-out`
22×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
10×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

5.0ms	(/ x (+ 1.0 x))
25.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
28.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
26.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (+ 1.0 x))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
8.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
8.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

simplify49.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4969	1866
1	4969	1866

prune134.0ms

Filtered

73 candidates to 132 candidates (-80.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Merged error: 0b

Counts

134 → 2

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample310.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify29.0ms

prune9.0ms

localize7.0ms

rewrite37.0ms

series11.0ms

simplify50.0ms

prune116.0ms

localize10.0ms

rewrite86.0ms

series25.0ms

simplify49.0ms

prune126.0ms

localize9.0ms

rewrite89.0ms

series24.0ms

simplify49.0ms

prune134.0ms

regimes26.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample310.0ms

Profiling