Details

analyze1.6s (29.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample47.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
8.0ms	167×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune10.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.0ms	(+ (* x y) (* z t))

series139.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))
10.0ms	(+ (* x y) (* z t))

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4895	677
1	4895	677

prune69.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite35.0ms (0.6%)

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 t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
7.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series269.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
58.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4947	2087
1	4947	2087

prune141.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series222.0ms (4%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
56.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
55.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4989	1312
1	4989	1312

prune89.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

regimes1.3s (23.6%)

Accuracy

Total 0.0b remaining (22.5%)

Threshold costs 0.0b (22.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms (0%)

sample1.4s (24.7%)

Algorithm

1×

intervals

Results

431.0ms	8000×	body	80	valid
305.0ms	5649×	body	80	invalid

Details

analyze1.6s (29.3%)

sample47.0ms (0.8%)

simplify3.0ms (0.1%)

prune10.0ms (0.2%)

localize18.0ms (0.3%)

rewrite18.0ms (0.3%)

series139.0ms (2.5%)

simplify40.0ms (0.7%)

prune69.0ms (1.2%)

localize16.0ms (0.3%)

rewrite35.0ms (0.6%)

series269.0ms (4.8%)

simplify52.0ms (0.9%)

prune141.0ms (2.5%)

localize22.0ms (0.4%)

rewrite24.0ms (0.4%)

series222.0ms (4%)

simplify26.0ms (0.5%)

prune89.0ms (1.6%)

regimes1.3s (23.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.4s (24.7%)

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