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

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	523	11
1	523	11

prune5.0ms

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

rewrite40.0ms

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	(/ x (+ x 1.0))
22.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
10.0ms	(/ 1.0 (- x 1.0))

series11.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5011	995

prune142.0ms

Filtered

72 candidates to 96 candidates (-33.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	3	97

Merged error: 0b

Counts

97 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.1b	(log (exp (/ 1.0 (- x 1.0))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
42×	`times-frac`
34×	`add-cube-cbrt`
23×	`log-pow`
21×	`exp-prod`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `log-prod` `associate-/r/` `distribute-lft-out` `associate-/l*`
5×	`add-log-exp`
3×	`associate-+l+` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `rem-log-exp` `sum-log`

Counts

4 → 119

Calls

4 calls:

33.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
7.0ms	(/ x (+ x 1.0))
8.0ms	(/ 1.0 (- x 1.0))
9.0ms	(log (exp (/ 1.0 (- x 1.0))))

series13.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify72.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4981	1261
1	4981	1261

prune220.0ms

Filtered

101 candidates to 131 candidates (-29.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

134 → 3

localize11.0ms

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

144×	`cbrt-div`
82×	`*-un-lft-identity`
81×	`frac-times`
62×	`add-sqr-sqrt`
53×	`times-frac`
48×	`flip3-+` `frac-add` `flip-+`
36×	`add-cube-cbrt`
27×	`associate-*l/`
23×	`pow1`
15×	`add-exp-log` `associate-r/` `associate-/r`
14×	`distribute-lft-out--`
12×	`difference-of-squares`
11×	`associate-r` `add-cbrt-cube`
9×	`cbrt-prod` `pow1/3` `pow-prod-up` `associate-/l*`
7×	`distribute-lft-out`
6×	`pow-plus` `associate-/r/`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `prod-exp` `clear-num` `pow-sqr` `flip--` `cbrt-unprod` `div-inv`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 214

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
9.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
78.0ms	(* (* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify114.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5521	6835

prune536.0ms

Filtered

136 candidates to 226 candidates (-66.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	226	3	229

Merged error: 0b

Counts

229 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.1b	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
18.7b	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

246×	`add-sqr-sqrt`
163×	`times-frac`
151×	`*-un-lft-identity`
112×	`difference-of-squares`
84×	`unpow-prod-down` `cube-prod`
81×	`associate-l`
73×	`add-cube-cbrt`
56×	`sqr-pow`
35×	`distribute-lft-out--`
29×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
7×	`difference-cubes`
6×	`pow1` `associate-/r/` `associate-/l*`
4×	`flip3-+` `flip-+` `distribute-lft-out`
3×	`cbrt-undiv` `div-exp` `associate-r` `sum-log` `div-inv`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 269

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
6.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
15.0ms	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
32.0ms	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (+ x 1.0))
3.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
10.0ms	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
5.0ms	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5076	4800

prune602.0ms

Filtered

175 candidates to 281 candidates (-60.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	281	3	284

Merged error: 0b

Counts

284 → 3

regimes32.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	52	13
1	52	13

end0.0ms

sample352.0ms

Algorithm

intervals

Results

257.0ms

8000×

body

valid

Details

analyze4.0ms

sample14.0ms

simplify28.0ms

prune5.0ms

localize6.0ms

rewrite40.0ms

series11.0ms

simplify43.0ms

prune142.0ms

localize10.0ms

rewrite61.0ms

series13.0ms

simplify72.0ms

prune220.0ms

localize11.0ms

rewrite108.0ms

series17.0ms

simplify114.0ms

prune536.0ms

localize16.0ms

rewrite73.0ms

series21.0ms

simplify51.0ms

prune602.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample352.0ms

Profiling