Details

analyze223.0ms

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

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4698	12
1	4698	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: 2.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite25.0ms

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)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
24.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5425	1001

prune115.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Merged error: 0b

Counts

83 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

7.0ms	(* (/ 1.1283791670955126 y) (exp z))
14.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
9.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

series36.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (/ 1.1283791670955126 y) (exp z))
10.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
20.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4948	1005
1	4948	1005

prune102.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))))
0.2b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
0.4b	(- (* 1.1283791670955126 (exp z)) (* y x))
7.7b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 93

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))))
6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
10.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))))
16.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
24.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

simplify85.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4935	1398
1	4935	1398

prune110.0ms

Filtered

72 candidates to 105 candidates (-45.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3)
0.4b	(- (* 1.1283791670955126 (exp z)) (* y x))
7.8b	(/ y (cbrt (pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3)))
13.7b	(cbrt (pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`associate-/r*`
7×	`add-exp-log`
6×	`cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
5×	`pow1`
4×	`cbrt-div` `flip3--` `flip--`
3×	`pow-unpow` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 136

Calls

4 calls:

5.0ms	(pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3)
5.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
10.0ms	(/ y (cbrt (pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3)))
7.0ms	(cbrt (pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3))

series70.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3)
11.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
21.0ms	(/ y (cbrt (pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3)))
11.0ms	(cbrt (pow (- (* 1.1283791670955126 (exp z)) (* y x)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5040	2356

prune139.0ms

Filtered

83 candidates to 148 candidates (-78.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Merged error: 0b

Counts

151 → 3

regimes251.0ms

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

sample485.0ms

Algorithm

intervals

Results

315.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze223.0ms

sample19.0ms

simplify119.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series49.0ms

simplify50.0ms

prune115.0ms

localize9.0ms

rewrite32.0ms

series36.0ms

simplify49.0ms

prune102.0ms

localize10.0ms

rewrite26.0ms

series69.0ms

simplify85.0ms

prune110.0ms

localize12.0ms

rewrite32.0ms

series70.0ms

simplify50.0ms

prune139.0ms

regimes251.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample485.0ms

Profiling