Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample46.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
6.0ms	117×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune9.0ms

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) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(+ (* x y) (/ (* z t) 16.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate-+l+` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

3 → 46

Calls

3 calls:

9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
12.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
6.0ms	(+ (* x y) (/ (* z t) 16.0))

series81.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
43.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
14.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify31.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5024	1042

prune75.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Merged error: 0.0b

Counts

56 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.5b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.5b	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
0.5b	(* (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))) (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))))

rewrite51.0ms

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:

9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
9.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
10.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
21.0ms	(* (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))) (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
60.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
78.0ms	(cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0))))))
139.0ms	(* (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))) (cbrt (+ (* x y) (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5014	2931

prune252.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize39.0ms

Local error

Found 4 expressions with local error:

35.1b	(cbrt (+ (pow (* x y) 2) (* (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) (+ (* t (/ z 16.0)) (- c (+ (* x y) (* b (/ a 4.0))))))))
35.1b	(cbrt (+ (pow (* x y) 2) (* (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) (+ (* t (/ z 16.0)) (- c (+ (* x y) (* b (/ a 4.0))))))))
44.3b	(cbrt (+ (pow (* x y) 3) (pow (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) 3)))
44.3b	(cbrt (+ (pow (* x y) 3) (pow (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) 3)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`sum-cubes` `distribute-lft-out`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (+ (pow (* x y) 2) (* (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) (+ (* t (/ z 16.0)) (- c (+ (* x y) (* b (/ a 4.0))))))))
4.0ms	(cbrt (+ (pow (* x y) 2) (* (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) (+ (* t (/ z 16.0)) (- c (+ (* x y) (* b (/ a 4.0))))))))
13.0ms	(cbrt (+ (pow (* x y) 3) (pow (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) 3)))
16.0ms	(cbrt (+ (pow (* x y) 3) (pow (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) 3)))

series1.6s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (+ (pow (* x y) 2) (* (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) (+ (* t (/ z 16.0)) (- c (+ (* x y) (* b (/ a 4.0))))))))
350.0ms	(cbrt (+ (pow (* x y) 2) (* (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) (+ (* t (/ z 16.0)) (- c (+ (* x y) (* b (/ a 4.0))))))))
449.0ms	(cbrt (+ (pow (* x y) 3) (pow (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) 3)))
463.0ms	(cbrt (+ (pow (* x y) 3) (pow (+ (* t (/ z 16.0)) (- c (* b (/ a 4.0)))) 3)))

simplify33.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5888	2814

prune540.0ms

Filtered

62 candidates to 68 candidates (-9.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0b

Counts

71 → 3

regimes1.2s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

469.0ms	8000×	body	80	valid
235.0ms	3886×	body	80	invalid

Details

analyze1.5s

sample46.0ms

simplify52.0ms

prune9.0ms

localize12.0ms

rewrite28.0ms

series81.0ms

simplify31.0ms

prune75.0ms

localize17.0ms

rewrite51.0ms

series335.0ms

simplify62.0ms

prune252.0ms

localize39.0ms

rewrite38.0ms

series1.6s

simplify33.0ms

prune540.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling