Details

analyze830.0ms (16.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

sample79.0ms (1.6%)

Algorithm

1×

intervals

Results

24.0ms	34×	body	1280	valid
24.0ms	54×	body	640	valid
14.0ms	143×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	8×	body	160	valid

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune9.0ms (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: 0.3b

Counts

2 → 2

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (sin x))
0.3b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l*` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r`

Counts

3 → 66

Calls

3 calls:

8.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
8.0ms	(* 3.0 (sin x))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series23.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
8.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
3.0ms	(* 3.0 (sin x))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4941	761
1	4941	761

prune182.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`times-frac`
33×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 104

Calls

3 calls:

13.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))
4.0ms	(/ (sin (* x 0.5)) (sin x))
4.0ms	(/ (sin (* x 0.5)) 3.0)

series21.0ms (0.4%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))
6.0ms	(/ (sin (* x 0.5)) (sin x))
3.0ms	(/ (sin (* x 0.5)) 3.0)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune264.0ms (5.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.1b	(/ 1 (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (* (sin (* x 0.5)) (/ 1 (sin x))))
0.2b	(* (sin (* x 0.5)) (/ 1 (sin x)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log`
42×	`add-sqr-sqrt`
38×	`times-frac`
36×	`*-un-lft-identity`
35×	`add-cube-cbrt`
34×	`add-cbrt-cube`
22×	`prod-exp`
16×	`associate-l`
14×	`div-exp` `associate-r`
12×	`pow1` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/r` `associate-/l`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `pow-prod-down` `div-inv` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `associate-*l/` `inv-pow`

Counts

4 → 139

Calls

4 calls:

10.0ms	(* (/ (sin (* x 0.5)) 3.0) (* (sin (* x 0.5)) (/ 1 (sin x))))
8.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))
4.0ms	(/ (sin (* x 0.5)) 3.0)
3.0ms	(/ 1 (sin x))

series28.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (/ (sin (* x 0.5)) 3.0) (* (sin (* x 0.5)) (/ 1 (sin x))))
7.0ms	(/ 1 (sin x))
6.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))
4.0ms	(/ (sin (* x 0.5)) 3.0)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5090	1452

prune321.0ms (6.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	151	8	159

Merged error: 0.0b

Counts

159 → 8

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))))
0.4b	(/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0))))
0.4b	(* (sin x) (cbrt 3.0))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`add-exp-log`
42×	`add-cbrt-cube`
31×	`prod-exp` `cbrt-unprod`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp` `pow-prod-down`
7×	`associate-l`
6×	`times-frac`
4×	`cbrt-prod` `add-log-exp`
3×	`-commutative` `associate-/l` `unswap-sqr`
2×	`div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 104

Calls

4 calls:

14.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))))
12.0ms	(/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0))))
9.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))
7.0ms	(* (sin x) (cbrt 3.0))

series48.0ms (1%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))))
15.0ms	(/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0))))
11.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))
5.0ms	(* (sin x) (cbrt 3.0))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5208	1121

prune259.0ms (5.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

regimes107.0ms (2.1%)

Accuracy

Total 0.3b remaining (86.7%)

Threshold costs 0.3b (86.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample2.5s (48.7%)

Algorithm

1×

intervals

Results

1.1s	1511×	body	1280	valid
558.0ms	1249×	body	640	valid
453.0ms	4346×	body	80	valid
185.0ms	578×	body	320	valid
70.0ms	316×	body	160	valid

Details

analyze830.0ms (16.4%)

sample79.0ms (1.6%)

simplify4.0ms (0.1%)

prune9.0ms (0.2%)

localize11.0ms (0.2%)

rewrite23.0ms (0.5%)

series23.0ms (0.5%)

simplify64.0ms (1.3%)

prune182.0ms (3.6%)

localize11.0ms (0.2%)

rewrite24.0ms (0.5%)

series21.0ms (0.4%)

simplify64.0ms (1.3%)

prune264.0ms (5.2%)

localize12.0ms (0.2%)

rewrite30.0ms (0.6%)

series28.0ms (0.5%)

simplify64.0ms (1.3%)

prune321.0ms (6.3%)

localize14.0ms (0.3%)

rewrite45.0ms (0.9%)

series48.0ms (1%)

simplify62.0ms (1.2%)

prune259.0ms (5.1%)

regimes107.0ms (2.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.5s (48.7%)

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