Details

analyze1.6s

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

sample40.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
6.0ms	122×	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

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
6×	`pow1`
3×	`associate-+r-` `diff-log` `associate-r/` `associate-l*`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `frac-add` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 74

Calls

4 calls:

9.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
7.0ms	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
6.0ms	(* z (/ t 16.0))
3.0ms	(- c (* a (/ b 4.0)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
20.0ms	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
3.0ms	(* z (/ t 16.0))
8.0ms	(- c (* a (/ b 4.0)))

simplify22.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5192	1105

prune125.0ms

Filtered

67 candidates to 86 candidates (-28.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Merged error: 0.0b

Counts

87 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0))))
4.5b	(* x (* y (* x y)))
5.0b	(+ (* x (* y (* x y))) (* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0)))))
33.2b	(/ (+ (* x (* y (* x y))) (* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0))))) (+ (* x y) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
15×	`pow1` `add-cube-cbrt`
10×	`associate-*r/`
9×	`times-frac`
8×	`frac-times` `sub-neg` `flip3-+` `flip-+`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`flip3--` `frac-sub` `flip--` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r` `associate--l+`
3×	`associate-/r` `associate-/l`
2×	`associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

16.0ms	(* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0))))
6.0ms	(* x (* y (* x y)))
11.0ms	(+ (* x (* y (* x y))) (* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0)))))
22.0ms	(/ (+ (* x (* y (* x y))) (* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0))))) (+ (* x y) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0)))))

series2.5s

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0))))
7.0ms	(* x (* y (* x y)))
2.2s	(+ (* x (* y (* x y))) (* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0)))))
265.0ms	(/ (+ (* x (* y (* x y))) (* (+ c (- (* z (/ t 16.0)) (* a (/ b 4.0)))) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0))))) (+ (* x y) (- (- (* a (/ b 4.0)) c) (* z (/ t 16.0)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5067	4785

prune263.0ms

Filtered

93 candidates to 116 candidates (-24.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0.0b

Counts

118 → 2

regimes555.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

449.0ms	8000×	body	80	valid
223.0ms	4066×	body	80	invalid

Details

analyze1.6s

sample40.0ms

simplify52.0ms

prune14.0ms

localize25.0ms

rewrite28.0ms

series82.0ms

simplify22.0ms

prune125.0ms

localize20.0ms

rewrite59.0ms

series2.5s

simplify65.0ms

prune263.0ms

regimes555.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling