Details

analyze212.0ms

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

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4938	12
1	4938	12

prune4.0ms

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: 2.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

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:

5.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
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 (48.0ms)

Iter	Nodes	Cost
0	5752	999

prune124.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
28×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp` `div-inv`
3×	`cbrt-undiv` `associate-l`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 105

Calls

4 calls:

11.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
4.0ms	(/ (exp z) y)
9.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series42.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
4.0ms	(/ (exp z) y)
20.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
5.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4943	1238
1	4943	1238

prune128.0ms

Filtered

81 candidates to 117 candidates (-44.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Merged error: 0.0b

Counts

120 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
0.2b	(* 1.1283791670955126 (/ (exp z) y))
0.7b	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
30.2b	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
42×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
18×	`add-exp-log`
13×	`associate-r`
12×	`associate-/r*` `add-cbrt-cube`
8×	`cube-mult` `unpow3` `sqr-pow`
7×	`pow1` `div-exp`
6×	`cube-div`
4×	`pow-to-exp` `pow-exp` `associate-/r/` `add-log-exp`
3×	`rec-exp` `pow-unpow` `flip3--` `1-exp` `associate-l` `flip--` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-div` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `inv-pow` `rem-cube-cbrt`

Counts

4 → 183

Calls

4 calls:

7.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
7.0ms	(* 1.1283791670955126 (/ (exp z) y))
11.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
11.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
5.0ms	(* 1.1283791670955126 (/ (exp z) y))
40.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
18.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

simplify67.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5158	3168

prune211.0ms

Filtered

97 candidates to 195 candidates (-101.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Merged error: 0.0b

Counts

198 → 3

regimes276.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	53	12
1	53	12

end0.0ms

sample515.0ms

Algorithm

intervals

Results

331.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze212.0ms

sample20.0ms

simplify48.0ms

prune4.0ms

localize11.0ms

rewrite26.0ms

series46.0ms

simplify55.0ms

prune124.0ms

localize8.0ms

rewrite34.0ms

series42.0ms

simplify70.0ms

prune128.0ms

localize14.0ms

rewrite44.0ms

series90.0ms

simplify67.0ms

prune211.0ms

regimes276.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample515.0ms

Profiling