Details

analyze806.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	83×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	9
1	67	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.1b	(* (- y x) (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series25.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4999	557
1	4999	557

prune84.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
11.7b	(cbrt (/ z t))
11.7b	(cbrt (/ z t))
11.7b	(cbrt (/ z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series82.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))
13.0ms	(cbrt (/ z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5020	1015

prune134.0ms

Filtered

85 candidates to 110 candidates (-29.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	109	10	119

Merged error: 0.0b

Counts

119 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.0b	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `flip--`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series84.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
21.0ms	(cbrt z)
22.0ms	(cbrt z)
19.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify62.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4944	738
1	4944	738

prune101.0ms

Filtered

59 candidates to 96 candidates (-62.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	96	10	106

Merged error: 0b

Counts

106 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.7b	(* (* (- y x) (* (pow (cbrt z) 2) (* (/ (cbrt (cbrt z)) (cbrt t)) (/ (cbrt (cbrt z)) (cbrt t))))) (/ (cbrt (cbrt z)) (cbrt t)))
3.4b	(* (- y x) (* (pow (cbrt z) 2) (* (/ (cbrt (cbrt z)) (cbrt t)) (/ (cbrt (cbrt z)) (cbrt t)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

255×	`add-exp-log`
163×	`prod-exp`
99×	`cbrt-prod`
64×	`add-cbrt-cube`
59×	`associate-r` `cbrt-unprod`
54×	`times-frac`
53×	`div-exp`
48×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`add-cube-cbrt` `associate-*r/`
38×	`frac-times`
26×	`associate-*l/`
19×	`cbrt-undiv`
15×	`pow-to-exp` `pow-exp`
12×	`flip3--` `flip--`
11×	`pow1`
6×	`associate-l`
4×	`pow-prod-down` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 216

Calls

4 calls:

2.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
37.0ms	(* (* (- y x) (* (pow (cbrt z) 2) (* (/ (cbrt (cbrt z)) (cbrt t)) (/ (cbrt (cbrt z)) (cbrt t))))) (/ (cbrt (cbrt z)) (cbrt t)))
23.0ms	(* (- y x) (* (pow (cbrt z) 2) (* (/ (cbrt (cbrt z)) (cbrt t)) (/ (cbrt (cbrt z)) (cbrt t)))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (cbrt z))
30.0ms	(cbrt (cbrt z))
13.0ms	(* (* (- y x) (* (pow (cbrt z) 2) (* (/ (cbrt (cbrt z)) (cbrt t)) (/ (cbrt (cbrt z)) (cbrt t))))) (/ (cbrt (cbrt z)) (cbrt t)))
80.0ms	(* (- y x) (* (pow (cbrt z) 2) (* (/ (cbrt (cbrt z)) (cbrt t)) (/ (cbrt (cbrt z)) (cbrt t)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5599	4014

prune198.0ms

Filtered

110 candidates to 228 candidates (-107.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	228	10	238

Merged error: 0b

Counts

238 → 10

regimes546.0ms

Accuracy

-4.7% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	43
1	24	43

end0.0ms

analyze597.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample560.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
63.0ms	2171×	body	80	invalid

Details

analyze806.0ms

sample22.0ms

simplify4.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series25.0ms

simplify46.0ms

prune84.0ms

localize10.0ms

rewrite25.0ms

series82.0ms

simplify51.0ms

prune134.0ms

localize10.0ms

rewrite21.0ms

series84.0ms

simplify62.0ms

prune101.0ms

localize21.0ms

rewrite77.0ms

series152.0ms

simplify104.0ms

prune198.0ms

regimes546.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

analyze597.0ms

sample560.0ms

Profiling