Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample54.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
8.0ms	167×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	114	15
1	114	15

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
4.0ms	(+ (* x y) (* z t))
10.0ms	(+ (+ (* x y) (* z t)) (* a b))

series140.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5126	677

prune74.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
1.0b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
1.0b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
1.0b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
51.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
52.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify76.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	6317	1975

prune137.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* x (* y (* x y))) (* z (* t (* z t))))
4.8b	(* x (* y (* x y)))
6.0b	(* z (* t (* z t)))
24.1b	(/ (- (* x (* y (* x y))) (* z (* t (* z t)))) (- (* x y) (* z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (* x (* y (* x y))) (* z (* t (* z t))))
6.0ms	(* x (* y (* x y)))
6.0ms	(* z (* t (* z t)))
11.0ms	(/ (- (* x (* y (* x y))) (* z (* t (* z t)))) (- (* x y) (* z t)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* x (* y (* x y))) (* z (* t (* z t))))
6.0ms	(* x (* y (* x y)))
6.0ms	(* z (* t (* z t)))
28.0ms	(/ (- (* x (* y (* x y))) (* z (* t (* z t)))) (- (* x y) (* z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4966	1374
1	4966	1374

prune105.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

regimes1.3s

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	15
1	58	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

439.0ms	8000×	body	80	valid
309.0ms	5776×	body	80	invalid

Details

analyze1.6s

sample54.0ms

simplify4.0ms

prune13.0ms

localize12.0ms

rewrite23.0ms

series140.0ms

simplify35.0ms

prune74.0ms

localize16.0ms

rewrite35.0ms

series254.0ms

simplify76.0ms

prune137.0ms

localize18.0ms

rewrite35.0ms

series70.0ms

simplify49.0ms

prune105.0ms

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling