Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	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

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5036	17

prune2.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5353	1161

prune130.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
15.2b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

20.0ms	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
11.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
7.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify48.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5077	3726

prune267.0ms

Filtered

113 candidates to 167 candidates (-47.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	167	3	170

Merged error: 0b

Counts

170 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.9b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 108

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
4.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4977	1676
1	4977	1676

prune154.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	3	123

Merged error: 0b

Counts

123 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.30753 (* x 0.27061)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
3.1b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061))))
4.2b	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
166×	`add-sqr-sqrt`
163×	`add-cube-cbrt` `*-un-lft-identity`
153×	`sqrt-prod`
30×	`associate-/r*`
20×	`sqrt-div`
17×	`associate-/r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`div-inv` `associate-/l*`
7×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `associate-*r/` `clear-num`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 271

Calls

4 calls:

3.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
8.0ms	(* x (+ 0.99229 (* x 0.04481)))
8.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061))))
14.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061)))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061))))
5.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061)))))

simplify118.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4976	8919
1	4976	8919

prune760.0ms

Filtered

156 candidates to 283 candidates (-81.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	283	3	286

Merged error: 0b

Counts

286 → 3

regimes30.0ms

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	32	19
1	32	19

end0.0ms

sample415.0ms

Algorithm

intervals

Results

324.0ms

8000×

body

valid

Details

analyze5.0ms

sample16.0ms

simplify99.0ms

prune2.0ms

localize10.0ms

rewrite19.0ms

series17.0ms

simplify53.0ms

prune130.0ms

localize12.0ms

rewrite49.0ms

series23.0ms

simplify48.0ms

prune267.0ms

localize11.0ms

rewrite29.0ms

series18.0ms

simplify44.0ms

prune154.0ms

localize13.0ms

rewrite47.0ms

series24.0ms

simplify118.0ms

prune760.0ms

regimes30.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample415.0ms

Profiling