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

sample48.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
7.0ms	125×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune10.0ms

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

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

series75.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
3.0ms	(/ (* a b) 4.0)
47.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify36.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5003	1016

prune86.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0.0b

Counts

66 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ z 16.0) t) (* (/ b 4.0) a))
0.3b	(* (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))) (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))))
0.5b	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
0.5b	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`flip3-+` `swap-sqr` `flip-+`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `associate-*l/` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-*r/`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `frac-sub` `flip--` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

6.0ms	(- (* (/ z 16.0) t) (* (/ b 4.0) a))
19.0ms	(* (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))) (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))))
7.0ms	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
8.0ms	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (* (/ z 16.0) t) (* (/ b 4.0) a))
25.0ms	(* (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))) (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))))
149.0ms	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
148.0ms	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))

simplify31.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5250	2510

prune173.0ms

Filtered

71 candidates to 111 candidates (-56.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	111	2	113

Merged error: 0b

Counts

113 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))) (* (fabs (cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))) (sqrt (cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))))))
0.5b	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
1.0b	(cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
1.0b	(cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
10×	`pow1` `add-sqr-sqrt` `cbrt-div`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`associate-*r/`
6×	`cbrt-prod` `associate-l` `sqrt-prod`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `associate-*l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 70

Calls

4 calls:

20.0ms	(* (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))) (* (fabs (cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))) (sqrt (cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))))))
7.0ms	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
7.0ms	(cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
7.0ms	(cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))

series425.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))) (* (fabs (cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))) (sqrt (cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a)))))))
148.0ms	(sqrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
62.0ms	(cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))
64.0ms	(cbrt (+ (* x y) (- (* (/ z 16.0) t) (* (/ b 4.0) a))))

simplify34.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4984	3076
1	4984	3076

prune271.0ms

Filtered

71 candidates to 82 candidates (-15.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Merged error: 0b

Counts

84 → 2

regimes1.1s

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	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

450.0ms	8000×	body	80	valid
227.0ms	3976×	body	80	invalid

Details

analyze1.5s

sample48.0ms

simplify53.0ms

prune10.0ms

localize12.0ms

rewrite26.0ms

series75.0ms

simplify36.0ms

prune86.0ms

localize15.0ms

rewrite42.0ms

series337.0ms

simplify31.0ms

prune173.0ms

localize22.0ms

rewrite43.0ms

series425.0ms

simplify34.0ms

prune271.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling