Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
37.5%	12.5%	50%	3
43.7%	6.2%	50%	4
46.8%	3.1%	50%	5
48.4%	1.6%	50%	6
49.2%	0.8%	50%	7
49.6%	0.4%	50%	8
49.8%	0.2%	50%	9
49.9%	0.1%	50%	10
49.9%	0%	50%	11
49.9%	0%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample13.2s (79.5%)

Results

10.7s	4263×	body	2048	valid
1.8s	2142×	body	1024	valid
444.0ms	1051×	body	512	valid
151.0ms	524×	body	256	valid
47.0ms	276×	body	128	valid

Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-def_binary64`
278×	`fma-neg_binary64`
246×	`times-frac_binary64`
181×	`div-sub_binary64`
119×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	11	11
2	18	11
3	29	11
4	51	11
5	74	11
6	122	11
7	184	11
8	265	11
9	461	11
10	758	11
11	822	11
12	763	11
13	778	11
14	800	11
15	810	11
16	741	11

prune2.0ms (0%)

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

Error

32.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	32.3b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	4.3b	(-.f64 x (sin.f64 x))

series47.0ms (0.3%)

Counts

2 → 18

Calls

2 calls:

45.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2.0ms	(-.f64 x (sin.f64 x))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
9×	`prod-diff_binary64`

Counts

2 → 71

Calls

2 calls:

5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
4.0ms	(-.f64 x (sin.f64 x))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
456×	`associate-l_binary64`
380×	`associate-r_binary64`
340×	`fma-def_binary64`
254×	`times-frac_binary64`

Counts

89 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1582
1	360	1347
2	1065	1296
3	3888	1294
4	4834	1294
5	4997	1294
6	4857	1294

prune63.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	2	102

Error

0.2b

Counts

102 → 2

Alt Table

Status	Error	Program
	12.6b	(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 9) -1/362880 (*.f64 (pow.f64 x 5) -1/120)))) (tan.f64 x))
▶	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))

Status

Error

Program

12.6b

(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 9) -1/362880 (*.f64 (pow.f64 x 5) -1/120)))) (tan.f64 x))

▶

0.2b

(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))

Compiler

Compiled 1719 to 535 computations (68.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))
✓	0.1b	(*.f64 (pow.f64 x 4) -23/360)
✓	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))

series16.0ms (0.1%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))
4.0ms	(fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))
3.0ms	(*.f64 (pow.f64 x 4) -23/360)

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
8×	`add-exp-log_binary64`
7×	`associate-l_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

3 → 47

Calls

3 calls:

4.0ms	(*.f64 (pow.f64 x 4) -23/360)
1.0ms	(fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))
0.0ms	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

594×	`distribute-rgt-in_binary64`
480×	`fma-def_binary64`
458×	`fma-neg_binary64`
354×	`associate-l_binary64`
278×	`associate-r_binary64`

Counts

83 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1232
1	159	1112
2	405	1094
3	1606	1088
4	4935	1088
5	5095	1088

prune85.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Error

0.1b

Counts

79 → 4

Alt Table

Status	Error	Program
	12.6b	(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 9) -1/362880 (*.f64 (pow.f64 x 5) -1/120)))) (tan.f64 x))
✓	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))
▶	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))
	0.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))

Compiler

Compiled 1822 to 1290 computations (29.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (pow.f64 x 4) -23/360)
	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))
✓	27.1b	(sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))

series15.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

10.0ms

(sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))

5.0ms

(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

6.0ms

(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))

1.0ms

(sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-neg_binary64`
378×	`associate-l_binary64`
334×	`associate-r_binary64`
315×	`fma-def_binary64`
202×	`associate-/r*_binary64`

Counts

92 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2824
1	341	2465
2	1109	2305
3	4327	2305
4	4963	2305

prune575.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	279	5	284
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	279	9	288

Error

0.0b

Counts

288 → 9

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 (pow.f64 x 4) -23/360)))))))
✓	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))
	0.9b	(.f64 (.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))))
▶	0.4b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))))
	0.6b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -23/360) 1/6) (.f64 (pow.f64 x 6) -11/15120))) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -23/360) 1/6) (.f64 (pow.f64 x 6) -11/15120)))) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -23/360) 1/6) (.f64 (pow.f64 x 6) -11/15120))))))
	12.6b	(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 9) -1/362880 (*.f64 (pow.f64 x 5) -1/120)))) (tan.f64 x))
	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -23/360))))) 3))
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))
	0.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))

Compiler

Compiled 11903 to 8655 computations (27.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))))
✓	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))))
	27.1b	(sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))

series16.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

9.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))))

5.0ms

(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`sqrt-prod_binary64`
83×	`sqrt-pow1_binary64`
78×	`add-sqr-sqrt_binary64`
63×	`pow1_binary64`
43×	`pow1/2_binary64`

Counts

2 → 137

Calls

2 calls:

14.0ms

(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))))

8.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))))

simplify159.0ms (1%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
320×	`fma-def_binary64`
262×	`times-frac_binary64`
223×	`*-commutative_binary64`
202×	`associate-/r*_binary64`

Counts

161 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	4588
1	386	4098
2	1265	3896
3	3985	3823
4	4995	3823
5	4941	3823

prune1.0s (6.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	396	10	406

Error

0.0b

Counts

406 → 10

Alt Table

Status	Error	Program
	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -23/360))))) 3))
	2.0b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 (pow.f64 x 4) -23/360)))))))))
	0.6b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (.f64 (pow.f64 x 4) -23/360)))))))
✓	0.2b	(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))
	0.6b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))))))
	12.6b	(/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 9) -1/362880 (*.f64 (pow.f64 x 5) -1/120)))) (tan.f64 x))
	0.6b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))))))
	0.9b	(.f64 (.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360))))))
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (sqrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 4) -23/360)))))
	0.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))) (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360))))) (cbrt.f64 (fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (.f64 (pow.f64 x 4) -23/360)))))

Compiler

Compiled 22394 to 16528 computations (26.2% saved)

regimes597.0ms (3.6%)

Accuracy

Total 0.2b remaining (68.7%)

Threshold costs 0.2b (68.7%)

Counts

194 → 1

Compiler

Compiled 15977 to 11948 computations (25.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	14	21
2	14	21

end344.0ms (2.1%)

Compiler: Compiled 538 to 399 computations (25.8% saved)

Iter	Nodes	Cost
0	6	11
1	11	11
2	18	11
3	29	11
4	51	11
5	74	11
6	122	11
7	184	11
8	265	11
9	461	11
10	758	11
11	822	11
12	763	11
13	778	11
14	800	11
15	810	11
16	741	11

Iter	Nodes	Cost
0	6	11
1	11	11
2	18	11
3	29	11
4	51	11
5	74	11
6	122	11
7	184	11
8	265	11
9	461	11
10	758	11
11	822	11
12	763	11
13	778	11
14	800	11
15	810	11
16	741	11

Details

analyze4.0ms (0%)

sample13.2s (79.5%)

simplify44.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0%)

series47.0ms (0.3%)

rewrite13.0ms (0.1%)

simplify112.0ms (0.7%)

prune63.0ms (0.4%)

localize9.0ms (0.1%)

series16.0ms (0.1%)

rewrite7.0ms (0%)

simplify76.0ms (0.5%)

prune85.0ms (0.5%)

localize11.0ms (0.1%)

series15.0ms (0.1%)

rewrite13.0ms (0.1%)

simplify91.0ms (0.6%)

prune575.0ms (3.5%)

localize14.0ms (0.1%)

series16.0ms (0.1%)

rewrite46.0ms (0.3%)

simplify159.0ms (1%)

prune1.0s (6.2%)

regimes597.0ms (3.6%)

simplify2.0ms (0%)

end344.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	6	11
1	11	11
2	18	11
3	29	11
4	51	11
5	74	11
6	122	11
7	184	11
8	265	11
9	461	11
10	758	11
11	822	11
12	763	11
13	778	11
14	800	11
15	810	11
16	741	11