Details

analyze886.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
0.0b	(- (/ z y) (/ t (* 2.0 z)))
0.6b	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`add-log-exp`
6×	`associate-/r*`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`pow1` `associate-/r/` `associate-/l*`
2×	`flip3--` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

17.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
10.0ms	(- (/ z y) (/ t (* 2.0 z)))
11.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series27.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
6.0ms	(- (/ z y) (/ t (* 2.0 z)))
8.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5516	1239

prune123.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b	(- (* (* z 2.0) z) (* y t))
17.6b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

10.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
26.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5109	983

prune75.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 1 (* 2.0 z)) (* (/ y z) t))))
0.0b	(- (* 1 (* 2.0 z)) (* (/ y z) t))
5.4b	(/ (* y 2.0) (- (* 1 (* 2.0 z)) (* (/ y z) t)))
5.8b	(* (/ y z) t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac` `associate-l`
8×	`add-log-exp`
6×	`pow1`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-r` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

10.0ms	(- x (/ (* y 2.0) (- (* 1 (* 2.0 z)) (* (/ y z) t))))
5.0ms	(- (* 1 (* 2.0 z)) (* (/ y z) t))
8.0ms	(/ (* y 2.0) (- (* 1 (* 2.0 z)) (* (/ y z) t)))
6.0ms	(* (/ y z) t)

series55.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- x (/ (* y 2.0) (- (* 1 (* 2.0 z)) (* (/ y z) t))))
7.0ms	(- (* 1 (* 2.0 z)) (* (/ y z) t))
23.0ms	(/ (* y 2.0) (- (* 1 (* 2.0 z)) (* (/ y z) t)))
5.0ms	(* (/ y z) t)

simplify28.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4986	1031
1	4986	1031

prune99.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

regimes303.0ms

Accuracy

0% (0.1b 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	30	13
1	30	13

end0.0ms

sample562.0ms

Algorithm

intervals

Results

366.0ms

8000×

body

valid

Details

analyze886.0ms

sample22.0ms

simplify45.0ms

prune15.0ms

localize9.0ms

rewrite41.0ms

series27.0ms

simplify47.0ms

prune123.0ms

localize11.0ms

rewrite26.0ms

series59.0ms

simplify37.0ms

prune75.0ms

localize11.0ms

rewrite32.0ms

series55.0ms

simplify28.0ms

prune99.0ms

regimes303.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample562.0ms

Profiling