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

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	523	11
1	523	11

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series10.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5315	995

prune121.0ms

Filtered

71 candidates to 96 candidates (-35.2%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ x (+ x 1.0))
0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.5b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

14.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series19.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
2.0ms	(/ x (+ x 1.0))
3.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5119	1830

prune207.0ms

Filtered

115 candidates to 140 candidates (-21.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	140	2	142

Merged error: 0b

Counts

142 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
59×	`times-frac`
37×	`add-sqr-sqrt`
32×	`distribute-lft-out`
29×	`add-cube-cbrt`
22×	`cbrt-prod`
16×	`unpow-prod-down` `cube-prod`
12×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`cube-div` `associate-/l*`
5×	`pow1`
4×	`associate-/r/` `add-log-exp` `difference-of-squares`
3×	`pow-unpow` `cbrt-div` `flip3-+` `flip-+`
2×	`cbrt-undiv` `cube-mult` `frac-2neg` `unpow3` `div-exp` `frac-add` `clear-num` `div-inv` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-exp` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 140

Calls

4 calls:

27.0ms	(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
5.0ms	(/ 1.0 (- x 1.0))
25.0ms	(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)
5.0ms	(/ x (+ x 1.0))

series21.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
2.0ms	(/ 1.0 (- x 1.0))
7.0ms	(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)
3.0ms	(/ x (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4985	1957
1	4985	1957

prune172.0ms

Filtered

90 candidates to 152 candidates (-68.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	152	2	154

Merged error: 0b

Counts

154 → 2

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms

sample314.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid

Details

analyze4.0ms

sample17.0ms

simplify30.0ms

prune4.0ms

localize6.0ms

rewrite35.0ms

series10.0ms

simplify52.0ms

prune121.0ms

localize9.0ms

rewrite42.0ms

series19.0ms

simplify41.0ms

prune207.0ms

localize9.0ms

rewrite67.0ms

series21.0ms

simplify50.0ms

prune172.0ms

regimes25.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample314.0ms

Profiling