Details

analyze1.1s (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample91.0ms (0.8%)

Algorithm

1×

intervals

Results

26.0ms	47×	body	1280	valid
11.0ms	15×	body	2560	valid
11.0ms	146×	body	80	valid
9.0ms	27×	body	640	valid
6.0ms	79×	body	80	nan
4.0ms	15×	body	320	valid
3.0ms	41×	body	80	invalid
1.0ms	6×	body	160	valid

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune10.0ms (0.1%)

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: 20.5b

Counts

2 → 1

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
23.6b	(cos (- y (/ (* z t) 3.0)))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `cos-sum` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 71

Calls

4 calls:

8.0ms	(cos (- y (/ (* z t) 3.0)))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(/ (* z t) 3.0)
4.0ms	(/ a (* b 3.0))

series48.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms	(cos (- y (/ (* z t) 3.0)))
3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4982	789
1	4982	789

prune290.0ms (2.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	62	21	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	21	84

Merged error: 17.1b

Counts

84 → 21

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
0.4b	(/ t (sqrt 3.0))
0.4b	(/ z (sqrt 3.0))
24.0b	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `cos-sum` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 160

Calls

4 calls:

15.0ms	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
4.0ms	(/ t (sqrt 3.0))
4.0ms	(/ z (sqrt 3.0))
3.0ms	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

series44.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))
12.0ms	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
5.0ms	(/ z (sqrt 3.0))
5.0ms	(/ t (sqrt 3.0))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4958	1486
1	4958	1486

prune849.0ms (7.6%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	155	17	172
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	160	33	193

Merged error: 16.8b

Counts

193 → 33

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (* z (/ t 3.0))))
0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* z (/ t 3.0)))) (* (sin y) (sin (* z (/ t 3.0))))))
27.6b	(cos (* z (/ t 3.0)))
28.4b	(sin (* z (/ t 3.0)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

10.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* z (/ t 3.0)))) (* (sin y) (sin (* z (/ t 3.0))))))
5.0ms	(* (sin y) (sin (* z (/ t 3.0))))
2.0ms	(sin (* z (/ t 3.0)))
2.0ms	(cos (* z (/ t 3.0)))

series78.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* z (/ t 3.0)))) (* (sin y) (sin (* z (/ t 3.0))))))
11.0ms	(* (sin y) (sin (* z (/ t 3.0))))
6.0ms	(sin (* z (/ t 3.0)))
3.0ms	(cos (* z (/ t 3.0)))

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5057	1115

prune410.0ms (3.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	6	26	32
Picked	1	0	1
Done	0	0	0
Total	65	36	101

Merged error: 16.7b

Counts

101 → 36

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

27.6b	(cos (* z (/ t 3.0)))
28.4b	(sin (* z (/ t 3.0)))
28.4b	(sin (* z (/ t 3.0)))
28.4b	(sin (* z (/ t 3.0)))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin (* z (/ t 3.0)))
2.0ms	(sin (* z (/ t 3.0)))
2.0ms	(sin (* z (/ t 3.0)))
2.0ms	(cos (* z (/ t 3.0)))

series15.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (* z (/ t 3.0)))
4.0ms	(sin (* z (/ t 3.0)))
4.0ms	(sin (* z (/ t 3.0)))
3.0ms	(cos (* z (/ t 3.0)))

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5077	296

prune149.0ms (1.3%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	34	35
Picked	1	0	1
Done	0	0	0
Total	40	36	76

Merged error: 16.7b

Counts

76 → 36

regimes5.0s (45%)

Accuracy

Total 1.9b remaining (10.3%)

Threshold costs 0b (0%)

bsearch2.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	134	64
1	134	64

end0.0ms (0%)

sample2.5s (22.9%)

Algorithm

1×

intervals

Results

757.0ms	1616×	body	1280	valid
341.0ms	4415×	body	80	valid
319.0ms	956×	body	640	valid
274.0ms	352×	body	2560	valid
182.0ms	2352×	body	80	nan
120.0ms	460×	body	320	valid
85.0ms	1148×	body	80	invalid
37.0ms	201×	body	160	valid

Details

analyze1.1s (9.5%)

sample91.0ms (0.8%)

simplify39.0ms (0.4%)

prune10.0ms (0.1%)

localize17.0ms (0.2%)

rewrite24.0ms (0.2%)

series48.0ms (0.4%)

simplify47.0ms (0.4%)

prune290.0ms (2.6%)

localize18.0ms (0.2%)

rewrite32.0ms (0.3%)

series44.0ms (0.4%)

simplify92.0ms (0.8%)

prune849.0ms (7.6%)

localize24.0ms (0.2%)

rewrite19.0ms (0.2%)

series78.0ms (0.7%)

simplify51.0ms (0.5%)

prune410.0ms (3.7%)

localize30.0ms (0.3%)

rewrite8.0ms (0.1%)

series15.0ms (0.1%)

simplify127.0ms (1.1%)

prune149.0ms (1.3%)

regimes5.0s (45%)

bsearch2.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (22.9%)

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