Details

analyze732.0ms

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	247×	body	80	valid
2.0ms	57×	body	80	invalid
1.0ms	8×	body	640	valid
0.0ms	1×	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

prune9.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5376	519

prune70.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite53.0ms

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))))
9.0ms	(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)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune282.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
1.0b	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

9.0ms	(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)))
13.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

series382.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
174.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4966	1749
1	4966	1749

prune285.0ms

Filtered

67 candidates to 75 candidates (-11.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
1.0b	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

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)))
11.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

series385.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
178.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

simplify54.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	1749
1	4966	1749

prune388.0ms

Filtered

67 candidates to 75 candidates (-11.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

regimes344.0ms

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

sample648.0ms

Algorithm

intervals

Results

285.0ms	7731×	body	80	valid
77.0ms	1907×	body	80	invalid
14.0ms	86×	body	1280	valid
13.0ms	99×	body	640	valid
5.0ms	51×	body	320	valid
2.0ms	33×	body	160	valid

Details

analyze732.0ms

sample25.0ms

simplify8.0ms

prune9.0ms

localize13.0ms

rewrite19.0ms

series26.0ms

simplify38.0ms

prune70.0ms

localize16.0ms

rewrite53.0ms

series330.0ms

simplify60.0ms

prune282.0ms

localize18.0ms

rewrite43.0ms

series382.0ms

simplify53.0ms

prune285.0ms

localize26.0ms

rewrite41.0ms

series385.0ms

simplify54.0ms

prune388.0ms

regimes344.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample648.0ms

Profiling