Details

analyze1.5s (17.2%)

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

sample53.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	181×	body	80	invalid

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune10.0ms (0.1%)

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: 0.0b

Counts

2 → 1

localize12.0ms (0.1%)

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))

rewrite19.0ms (0.2%)

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))

series132.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (* x y) (* z t))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4895	677
1	4895	677

prune73.0ms (0.9%)

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite33.0ms (0.4%)

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:

14.0ms	(* (cbrt (+ (* a b) (+ (* x y) (* z t)))) (cbrt (+ (* a b) (+ (* x y) (* z t)))))
5.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))

series244.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (cbrt (+ (* a b) (+ (* x y) (* z t)))) (cbrt (+ (* a b) (+ (* x y) (* z t)))))
53.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
53.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
49.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4924	1991
1	4924	1991

prune165.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series203.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
51.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
50.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))
50.0ms	(cbrt (+ (* a b) (+ (* x y) (* z t))))

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5265	1120

prune121.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* a b) (+ (* x y) (* z t)))
0.1b	(sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i)))
0.1b	(sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i)))
0.3b	(* (sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i))) (sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i))))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

19.0ms	(* (sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i))) (sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i))))
8.0ms	(sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i)))
7.0ms	(sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i)))
6.0ms	(+ (* a b) (+ (* x y) (* z t)))

series2.7s (32.1%)

Counts

4 → 12

Calls

4 calls:

1.3s	(sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i)))
1.3s	(sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i)))
121.0ms	(* (sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i))) (sqrt (+ (+ (* a b) (+ (* x y) (* z t))) (* c i))))
20.0ms	(+ (* a b) (+ (* x y) (* z t)))

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5732	2579

prune141.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

regimes1.5s (17.3%)

Accuracy

Total 0.0b remaining (33.1%)

Threshold costs 0.0b (33.1%)

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%)

sample1.3s (15.7%)

Algorithm

1×

intervals

Results

421.0ms	8000×	body	80	valid
289.0ms	5503×	body	80	invalid

Details

analyze1.5s (17.2%)

sample53.0ms (0.6%)

simplify3.0ms (0%)

prune10.0ms (0.1%)

localize12.0ms (0.1%)

rewrite19.0ms (0.2%)

series132.0ms (1.6%)

simplify47.0ms (0.5%)

prune73.0ms (0.9%)

localize17.0ms (0.2%)

rewrite33.0ms (0.4%)

series244.0ms (2.9%)

simplify54.0ms (0.6%)

prune165.0ms (1.9%)

localize22.0ms (0.3%)

rewrite23.0ms (0.3%)

series203.0ms (2.4%)

simplify45.0ms (0.5%)

prune121.0ms (1.4%)

localize15.0ms (0.2%)

rewrite44.0ms (0.5%)

series2.7s (32.1%)

simplify32.0ms (0.4%)

prune141.0ms (1.7%)

regimes1.5s (17.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.3s (15.7%)

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