Details

analyze222.0ms

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

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

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: 3.7b

Counts

2 → 1

localize11.0ms

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))
8.5b	(/ 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:

8.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ 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)))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5425	1001

prune110.0ms

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: 0b

Counts

83 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
12.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
5.0ms	(* (/ 1.1283791670955126 y) (exp z))
18.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4941	1176
1	4941	1176

prune111.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r` `add-cbrt-cube`
11×	`add-exp-log`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 99

Calls

4 calls:

3.0ms	(- x (* 1.1283791670955126 (/ (exp z) y)))
4.0ms	(/ (exp z) y)
4.0ms	(/ -1 (- x (* 1.1283791670955126 (/ (exp z) y))))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series37.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- x (* 1.1283791670955126 (/ (exp z) y)))
7.0ms	(/ (exp z) y)
18.0ms	(/ -1 (- x (* 1.1283791670955126 (/ (exp z) y))))
5.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5278	1159

prune114.0ms

Filtered

86 candidates to 111 candidates (-29.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes257.0ms

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

sample498.0ms

Algorithm

intervals

Results

318.0ms

8000×

body

valid

Details

analyze222.0ms

sample20.0ms

simplify120.0ms

prune3.0ms

localize11.0ms

rewrite25.0ms

series45.0ms

simplify49.0ms

prune110.0ms

localize8.0ms

rewrite34.0ms

series45.0ms

simplify51.0ms

prune111.0ms

localize9.0ms

rewrite20.0ms

series37.0ms

simplify52.0ms

prune114.0ms

regimes257.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample498.0ms

Profiling