Details

analyze733.0ms

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%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	246×	body	80	valid
2.0ms	50×	body	80	invalid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune12.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.0b	(* x (+ (* (+ y z) 2) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
9.0ms	(* x (+ (* (+ y z) 2) t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
11.0ms	(* x (+ (* (+ y z) 2) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5376	519

prune66.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (* (+ y z) 2)) (* x t))
0.0b	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))
0.0b	(* x (* (+ y z) 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `associate-r/` `associate-l/`
1×	`associate-+l+` `associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 45

Calls

3 calls:

8.0ms	(+ (* x (* (+ y z) 2)) (* x t))
11.0ms	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))
7.0ms	(* x (* (+ y z) 2))

series34.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* x (* (+ y z) 2)) (* x t))
14.0ms	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))
8.0ms	(* x (* (+ y z) 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4944	633
1	4944	633

prune66.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite54.0ms

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:

23.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
65.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
68.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune277.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
11.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
66.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
65.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
68.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4959	1787
1	4959	1787

prune365.0ms

Filtered

69 candidates to 73 candidates (-5.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

regimes295.0ms

Accuracy

0% (0.0b 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 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample659.0ms

Algorithm

intervals

Results

303.0ms	7748×	body	80	valid
68.0ms	1764×	body	80	invalid
14.0ms	82×	body	1280	valid
12.0ms	83×	body	640	valid
6.0ms	55×	body	320	valid
2.0ms	32×	body	160	valid

Details

analyze733.0ms

sample25.0ms

simplify8.0ms

prune12.0ms

localize9.0ms

rewrite20.0ms

series26.0ms

simplify40.0ms

prune66.0ms

localize12.0ms

rewrite27.0ms

series34.0ms

simplify34.0ms

prune66.0ms

localize15.0ms

rewrite54.0ms

series318.0ms

simplify64.0ms

prune277.0ms

localize19.0ms

rewrite41.0ms

series266.0ms

simplify53.0ms

prune365.0ms

regimes295.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample659.0ms

Profiling