Details

analyze228.0ms

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

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

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: 3.9b

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))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.7b	(/ 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:

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)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5425	1001

prune108.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `div-exp` `associate-/r/` `flip--` `div-inv` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `1-exp` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

3 → 57

Calls

3 calls:

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

series41.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
10.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
21.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4931	909
1	4931	909

prune77.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.5b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
1.0b	(- (* 1.1283791670955126 (exp z)) (* y x))
6.4b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
18×	`add-exp-log` `associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-/r/` `unswap-sqr`
3×	`flip3--` `associate-/r` `flip--` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
12.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
16.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
21.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

simplify77.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4929	1293
1	4929	1293

prune116.0ms

Filtered

74 candidates to 112 candidates (-51.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize12.0ms

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))
0.4b	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
27.2b	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

rewrite42.0ms

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))
10.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
6.0ms	(* 1.1283791670955126 (/ (exp z) y))
38.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
21.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

simplify49.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5014	3162

prune196.0ms

Filtered

97 candidates to 195 candidates (-101.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	195	4	199

Merged error: 0b

Counts

199 → 4

regimes319.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample497.0ms

Algorithm

intervals

Results

319.0ms

8000×

body

valid

Details

analyze228.0ms

sample22.0ms

simplify119.0ms

prune3.0ms

localize8.0ms

rewrite25.0ms

series49.0ms

simplify48.0ms

prune108.0ms

localize9.0ms

rewrite27.0ms

series41.0ms

simplify46.0ms

prune77.0ms

localize10.0ms

rewrite30.0ms

series51.0ms

simplify77.0ms

prune116.0ms

localize12.0ms

rewrite42.0ms

series94.0ms

simplify49.0ms

prune196.0ms

regimes319.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample497.0ms

Profiling