Details

analyze216.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

prune3.0ms

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: 3.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4916	1002
1	4916	1002

prune116.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
12×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
3×	`div-exp` `associate-l` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `flip3--` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 89

Calls

4 calls:

11.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
13.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
18.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
6.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	1183
1	4963	1183

prune106.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* y x))))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

5.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* y x))))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* y x))))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4942	2064
1	4942	2064

prune261.0ms

Filtered

103 candidates to 123 candidates (-19.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* y x))
1.7b	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x)))
2.4b	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
27×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num`

Counts

4 → 120

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
7.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x)))
14.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
30.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x)))
25.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4952	1894
1	4952	1894

prune127.0ms

Filtered

91 candidates to 132 candidates (-45.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes341.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

analyze214.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample494.0ms

Algorithm

intervals

Results

326.0ms

8000×

body

valid

Details

analyze216.0ms

sample19.0ms

simplify3.0ms

prune3.0ms

localize8.0ms

rewrite27.0ms

series46.0ms

simplify55.0ms

prune116.0ms

localize9.0ms

rewrite34.0ms

series49.0ms

simplify61.0ms

prune106.0ms

localize13.0ms

rewrite27.0ms

series105.0ms

simplify70.0ms

prune261.0ms

localize13.0ms

rewrite34.0ms

series68.0ms

simplify59.0ms

prune127.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze214.0ms

sample494.0ms

Profiling