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

sample23.0ms

Algorithm

intervals

Results

9.0ms	250×	body	80	valid
2.0ms	54×	body	80	invalid
0.0ms	4×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	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: 0.0b

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))

rewrite17.0ms

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:

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

series27.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
10.0ms	(* x (+ (* (+ y z) 2) t))

simplify33.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5020	519

prune71.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (* (+ y z) 2) t))) (cbrt (* x (+ (* (+ y z) 2) t))))
1.6b	(cbrt (* x (+ (* (+ y z) 2) t)))
1.6b	(cbrt (* x (+ (* (+ y z) 2) t)))
1.6b	(cbrt (* x (+ (* (+ y z) 2) t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

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

series158.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (* x (+ (* (+ y z) 2) t))) (cbrt (* x (+ (* (+ y z) 2) t))))
36.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))
35.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))
38.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))

simplify36.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4978	1204
1	4978	1204

prune166.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

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))))
0.5b	(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)))

rewrite46.0ms

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:

20.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
63.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
63.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
64.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5119	2610

prune258.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0b

Counts

104 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt x) (* (+ (* (+ y z) 2) t) (sqrt x))) (* y 5.0))
0.1b	(* (+ (* (+ y z) 2) t) (sqrt x))
0.2b	(* (sqrt x) (* (+ (* (+ y z) 2) t) (sqrt x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

14.0ms	(+ (* (sqrt x) (* (+ (* (+ y z) 2) t) (sqrt x))) (* y 5.0))
10.0ms	(* (+ (* (+ y z) 2) t) (sqrt x))
12.0ms	(* (sqrt x) (* (+ (* (+ y z) 2) t) (sqrt x)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* (sqrt x) (* (+ (* (+ y z) 2) t) (sqrt x))) (* y 5.0))
17.0ms	(* (+ (* (+ y z) 2) t) (sqrt x))
21.0ms	(* (sqrt x) (* (+ (* (+ y z) 2) t) (sqrt x)))

simplify33.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5426	840

prune67.0ms

Filtered

49 candidates to 67 candidates (-36.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	67	6	73

Merged error: 0b

Counts

73 → 6

regimes276.0ms

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

analyze690.0ms

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

sample637.0ms

Algorithm

intervals

Results

292.0ms	7695×	body	80	valid
71.0ms	1828×	body	80	invalid
16.0ms	103×	body	640	valid
15.0ms	88×	body	1280	valid
7.0ms	66×	body	320	valid
3.0ms	48×	body	160	valid

Details

analyze707.0ms

sample23.0ms

simplify7.0ms

prune8.0ms

localize9.0ms

rewrite17.0ms

series27.0ms

simplify33.0ms

prune71.0ms

localize13.0ms

rewrite30.0ms

series158.0ms

simplify36.0ms

prune166.0ms

localize13.0ms

rewrite46.0ms

series299.0ms

simplify41.0ms

prune258.0ms

localize11.0ms

rewrite37.0ms

series70.0ms

simplify33.0ms

prune67.0ms

regimes276.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze690.0ms

sample637.0ms

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