Details

analyze707.0ms

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	249×	body	80	valid
2.0ms	48×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune8.0ms

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))

rewrite21.0ms

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:

12.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
8.0ms	(* x (+ (* (+ y z) 2) t))

series25.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5020	519

prune71.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

3.0ms	(+ (* x t) (* y 5.0))
9.0ms	(* x (* (+ y z) 2))
10.0ms	(+ (* x (* (+ y z) 2)) (+ (* x t) (* y 5.0)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x t) (* y 5.0))
8.0ms	(* x (* (+ y z) 2))
15.0ms	(+ (* x (* (+ y z) 2)) (+ (* x t) (* y 5.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5001	854

prune75.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-div`
29×	`flip3-+` `flip-+`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
22×	`associate-r/` `associate-l/`
21×	`pow1`
16×	`frac-add`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`frac-times`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

9.0ms	(+ (* x (* (+ y z) 2)) (* (sqrt (+ (* x t) (* y 5.0))) (sqrt (+ (* x t) (* y 5.0)))))
3.0ms	(sqrt (+ (* x t) (* y 5.0)))
3.0ms	(sqrt (+ (* x t) (* y 5.0)))
11.0ms	(* (sqrt (+ (* x t) (* y 5.0))) (sqrt (+ (* x t) (* y 5.0))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* x (* (+ y z) 2)) (* (sqrt (+ (* x t) (* y 5.0))) (sqrt (+ (* x t) (* y 5.0)))))
18.0ms	(sqrt (+ (* x t) (* y 5.0)))
27.0ms	(sqrt (+ (* x t) (* y 5.0)))
7.0ms	(* (sqrt (+ (* x t) (* y 5.0))) (sqrt (+ (* x t) (* y 5.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5168	2812

prune177.0ms

Filtered

78 candidates to 126 candidates (-61.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (* x t) (* y 5.0)))) (sqrt (cbrt (+ (* x t) (* y 5.0)))))
0.3b	(* (sqrt (+ (* x t) (* y 5.0))) (* (fabs (cbrt (+ (* x t) (* y 5.0)))) (sqrt (cbrt (+ (* x t) (* y 5.0))))))
0.5b	(cbrt (+ (* x t) (* y 5.0)))
0.5b	(cbrt (+ (* x t) (* y 5.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-r/` `associate-r*`
9×	`flip3-+` `associate-l` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (fabs (cbrt (+ (* x t) (* y 5.0)))) (sqrt (cbrt (+ (* x t) (* y 5.0)))))
11.0ms	(* (sqrt (+ (* x t) (* y 5.0))) (* (fabs (cbrt (+ (* x t) (* y 5.0)))) (sqrt (cbrt (+ (* x t) (* y 5.0))))))
5.0ms	(cbrt (+ (* x t) (* y 5.0)))
3.0ms	(cbrt (+ (* x t) (* y 5.0)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (fabs (cbrt (+ (* x t) (* y 5.0)))) (sqrt (cbrt (+ (* x t) (* y 5.0)))))
66.0ms	(* (sqrt (+ (* x t) (* y 5.0))) (* (fabs (cbrt (+ (* x t) (* y 5.0)))) (sqrt (cbrt (+ (* x t) (* y 5.0))))))
33.0ms	(cbrt (+ (* x t) (* y 5.0)))
33.0ms	(cbrt (+ (* x t) (* y 5.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4945	2127
1	4945	2127

prune250.0ms

Filtered

81 candidates to 95 candidates (-17.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

regimes262.0ms

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

analyze693.0ms

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

sample628.0ms

Algorithm

intervals

Results

293.0ms	7730×	body	80	valid
67.0ms	1882×	body	80	invalid
14.0ms	104×	body	640	valid
14.0ms	82×	body	1280	valid
5.0ms	50×	body	320	valid
2.0ms	34×	body	160	valid

Details

analyze707.0ms

sample22.0ms

simplify7.0ms

prune8.0ms

localize9.0ms

rewrite21.0ms

series25.0ms

simplify34.0ms

prune71.0ms

localize10.0ms

rewrite23.0ms

series29.0ms

simplify35.0ms

prune75.0ms

localize15.0ms

rewrite32.0ms

series70.0ms

simplify47.0ms

prune177.0ms

localize17.0ms

rewrite30.0ms

series187.0ms

simplify59.0ms

prune250.0ms

regimes262.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze693.0ms

sample628.0ms

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