Details

analyze319.0ms (12.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	241×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	22×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune6.0ms (0.2%)

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: 0.1b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`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` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (* x (+ y z)) (* z 5.0))
6.0ms	(* x (+ y z))

series14.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x (+ y z)) (* z 5.0))
6.0ms	(* x (+ y z))

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5099	356

prune67.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* x y) (* z (+ x 5.0)))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* x y) (* z (+ x 5.0)))

simplify50.0ms (2%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5162	193

prune34.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite35.0ms (1.4%)

Algorithm

1×	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:

15.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
6.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
6.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
6.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series200.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
44.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
43.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
43.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify89.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4933	1765
1	4933	1765

prune262.0ms (10.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (pow (cbrt (+ (* x (+ y z)) (* z 5.0))) 2))
0.6b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
1×	`unpow2` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (pow (cbrt (+ (* x (+ y z)) (* z 5.0))) 2))
7.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
6.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series199.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (pow (cbrt (+ (* x (+ y z)) (* z 5.0))) 2))
44.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
42.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4972	1199
1	4972	1199

prune256.0ms (10.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

regimes353.0ms (14%)

Accuracy

Total 0.0b remaining (48.1%)

Threshold costs 0.0b (48.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample427.0ms (16.9%)

Algorithm

1×

intervals

Results

208.0ms	7659×	body	80	valid
16.0ms	645×	body	80	invalid
13.0ms	112×	body	1280	valid
11.0ms	122×	body	640	valid
5.0ms	69×	body	320	valid
2.0ms	38×	body	160	valid

Details

analyze319.0ms (12.6%)

sample17.0ms (0.7%)

simplify4.0ms (0.1%)

prune6.0ms (0.2%)

localize9.0ms (0.4%)

rewrite13.0ms (0.5%)

series14.0ms (0.5%)

simplify42.0ms (1.7%)

prune67.0ms (2.7%)

localize6.0ms (0.2%)

rewrite4.0ms (0.2%)

series7.0ms (0.3%)

simplify50.0ms (2%)

prune34.0ms (1.3%)

localize11.0ms (0.4%)

rewrite35.0ms (1.4%)

series200.0ms (7.9%)

simplify89.0ms (3.5%)

prune262.0ms (10.4%)

localize20.0ms (0.8%)

rewrite28.0ms (1.1%)

series199.0ms (7.9%)

simplify53.0ms (2.1%)

prune256.0ms (10.1%)

regimes353.0ms (14%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample427.0ms (16.9%)

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