Details

analyze701.0ms

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	245×	body	80	valid
2.0ms	62×	body	80	invalid
1.0ms	8×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	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)) (* 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))
10.0ms	(* x (+ (* (+ y z) 2) t))

series27.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
12.0ms	(* x (+ (* (+ y z) 2) t))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5376	519

prune63.0ms

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

localize13.0ms

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))))
0.6b	(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)))

rewrite55.0ms

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:

22.0ms	(* (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)))
11.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (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)))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune275.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0.0b

Counts

103 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (+ y z) 2) t))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `associate-r` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

11.0ms	(* x (+ (* (+ y z) 2) t))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
24.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (+ (* (+ y z) 2) t))
112.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
112.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
16.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5051	2243

prune193.0ms

Filtered

82 candidates to 121 candidates (-47.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b	(* (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)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
18×	`cbrt-div`
16×	`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`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

10.0ms	(cbrt (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
22.0ms	(* (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)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
119.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
68.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5646	2709

prune354.0ms

Filtered

81 candidates to 102 candidates (-25.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	102	6	108

Merged error: 0.0b

Counts

108 → 6

regimes281.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample844.0ms

Algorithm

intervals

Results

496.0ms	7703×	body	80	valid
67.0ms	1852×	body	80	invalid
18.0ms	90×	body	1280	valid
15.0ms	106×	body	640	valid
7.0ms	67×	body	320	valid
2.0ms	34×	body	160	valid

Details

analyze701.0ms

sample25.0ms

simplify8.0ms

prune9.0ms

localize13.0ms

rewrite20.0ms

series27.0ms

simplify39.0ms

prune63.0ms

localize13.0ms

rewrite55.0ms

series327.0ms

simplify63.0ms

prune275.0ms

localize11.0ms

rewrite57.0ms

series251.0ms

simplify38.0ms

prune193.0ms

localize20.0ms

rewrite55.0ms

series324.0ms

simplify55.0ms

prune354.0ms

regimes281.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample844.0ms

Profiling