Details

analyze220.0ms

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

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4698	12
1	4698	12

prune6.0ms

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: 1.7b

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))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.6b	(/ 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:

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

series48.0ms

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))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5425	1001

prune111.0ms

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: 0.0b

Counts

83 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
3×	`div-exp` `associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 89

Calls

4 calls:

6.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
7.0ms	(* (/ 1.1283791670955126 y) (exp z))
11.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
8.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

series48.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
6.0ms	(* (/ 1.1283791670955126 y) (exp z))
11.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
22.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4941	1176
1	4941	1176

prune114.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(cbrt 1.1283791670955126)
1.0b	(cbrt 1.1283791670955126)
1.0b	(cbrt 1.1283791670955126)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt 1.1283791670955126)
1.0ms	(cbrt 1.1283791670955126)
1.0ms	(cbrt 1.1283791670955126)

series24.0ms

Counts

4 → 6

Calls

4 calls:

24.0ms	(cbrt y)
0.0ms	(cbrt 1.1283791670955126)
0.0ms	(cbrt 1.1283791670955126)
0.0ms	(cbrt 1.1283791670955126)

simplify32.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5000	209

prune87.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* y x))
0.9b	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x))))
1.8b	(/ (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))
14.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x))))
7.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
29.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x))))
29.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* y x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4947	1892
1	4947	1892

prune129.0ms

Filtered

92 candidates to 132 candidates (-43.5%)

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

regimes332.0ms

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	23	12
1	23	12

end0.0ms

sample477.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

valid

Details

analyze220.0ms

sample19.0ms

simplify118.0ms

prune6.0ms

localize8.0ms

rewrite26.0ms

series48.0ms

simplify53.0ms

prune111.0ms

localize8.0ms

rewrite35.0ms

series48.0ms

simplify50.0ms

prune114.0ms

localize16.0ms

rewrite6.0ms

series24.0ms

simplify32.0ms

prune87.0ms

localize13.0ms

rewrite34.0ms

series72.0ms

simplify59.0ms

prune129.0ms

regimes332.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample477.0ms

Profiling