Details

analyze688.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample54.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
11.0ms	213×	body	80	invalid
7.0ms	135×	body	80	nan

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5070	17

prune13.0ms

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: 0.3b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(/ (* t t) 2.0)
11.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
41.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4993	841
1	4993	841

prune143.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
0.3b	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
11×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`add-cbrt-cube`
8×	`associate-r`
7×	`associate-l`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `associate-l/` `pow-exp` `-commutative` `add-log-exp` `sqr-pow`
1×	`flip3--` `pow-prod-down` `sqrt-prod` `flip--`

Counts

2 → 47

Calls

2 calls:

8.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
11.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
47.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5618	867

prune122.0ms

Filtered

38 candidates to 53 candidates (-39.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
13.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series76.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
46.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt z))
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5356	1240

prune176.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
47×	`add-exp-log`
36×	`add-cbrt-cube`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`sqrt-prod`
6×	`cbrt-prod`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`unswap-sqr`

Counts

4 → 107

Calls

4 calls:

22.0ms	(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
11.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
17.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
42.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
13.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
16.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5142	1612

prune192.0ms

Filtered

76 candidates to 119 candidates (-56.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	119	8	127

Merged error: 0b

Counts

127 → 8

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

analyze679.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample1.5s

Algorithm

intervals

Results

444.0ms	8000×	body	80	valid
334.0ms	6070×	body	80	invalid
250.0ms	4538×	body	80	nan

Details

analyze688.0ms

sample54.0ms

simplify42.0ms

prune13.0ms

localize12.0ms

rewrite27.0ms

series57.0ms

simplify47.0ms

prune143.0ms

localize12.0ms

rewrite21.0ms

series68.0ms

simplify40.0ms

prune122.0ms

localize15.0ms

rewrite36.0ms

series76.0ms

simplify48.0ms

prune176.0ms

localize16.0ms

rewrite67.0ms

series117.0ms

simplify58.0ms

prune192.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze679.0ms

sample1.5s

Profiling