Details

analyze332.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune9.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (- x z) y)
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- x z) y)
8.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4964	583
1	4964	583

prune63.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.0 (* 4.0 (/ (- x z) y)))
0.0b	(* 4.0 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

3.0ms	(+ 2.0 (* 4.0 (/ (- x z) y)))
9.0ms	(* 4.0 (/ (- x z) y))
5.0ms	(/ (- x z) y)

series22.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 2.0 (* 4.0 (/ (- x z) y)))
8.0ms	(* 4.0 (/ (- x z) y))
6.0ms	(/ (- x z) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4971	889
1	4971	889

prune79.0ms

Filtered

69 candidates to 96 candidates (-39.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	2	98

Merged error: 0b

Counts

98 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.25 (* (- x z) (/ 1 y)))))
0.3b	(* (- x z) (/ 1 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `associate-+r+` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (* (- x z) (/ 1 y)))))
10.0ms	(* (- x z) (/ 1 y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (* (- x z) (/ 1 y)))))
6.0ms	(* (- x z) (/ 1 y))

simplify76.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4937	554
1	4937	554

prune76.0ms

Filtered

43 candidates to 61 candidates (-41.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	2	63

Merged error: 0b

Counts

63 → 2

regimes112.0ms

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	21	9
1	21	9

end0.0ms

sample476.0ms

Algorithm

intervals

Results

280.0ms	8000×	body	80	valid
31.0ms	903×	body	80	invalid

Details

analyze332.0ms

sample19.0ms

simplify51.0ms

prune9.0ms

localize7.0ms

rewrite11.0ms

series14.0ms

simplify41.0ms

prune63.0ms

localize6.0ms

rewrite20.0ms

series22.0ms

simplify50.0ms

prune79.0ms

localize8.0ms

rewrite14.0ms

series14.0ms

simplify76.0ms

prune76.0ms

regimes112.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample476.0ms

Profiling