Details

analyze4.0ms

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

sample15.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4977	17
1	4977	17

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5149	1452

prune147.0ms

Filtered

71 candidates to 88 candidates (-23.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 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)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ 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)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
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)))

simplify61.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4982	3290
1	4982	3290

prune246.0ms

Filtered

107 candidates to 160 candidates (-49.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	160	3	163

Merged error: 0b

Counts

163 → 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))))))

rewrite26.0ms

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)))))
10.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
8.0ms	(* 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))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (32.0ms)

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)))))

rewrite43.0ms

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)))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(/ (+ 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)))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify112.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4976	8919
1	4976	8919

prune553.0ms

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

regimes28.0ms

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	43	19
1	43	19

end0.0ms

sample416.0ms

Algorithm

intervals

Results

324.0ms

8000×

body

valid

Details

analyze4.0ms

sample15.0ms

simplify64.0ms

prune5.0ms

localize10.0ms

rewrite25.0ms

series24.0ms

simplify51.0ms

prune147.0ms

localize12.0ms

rewrite30.0ms

series19.0ms

simplify61.0ms

prune246.0ms

localize11.0ms

rewrite26.0ms

series20.0ms

simplify43.0ms

prune154.0ms

localize13.0ms

rewrite43.0ms

series27.0ms

simplify112.0ms

prune553.0ms

regimes28.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample416.0ms

Profiling