Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample1.6s (42.4%)

Results

1.4s	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 210 to 97 computations (53.8% saved)

simplify104.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1509×	`associate-/l*_binary64`
766×	`distribute-rgt-out_binary64`
744×	`distribute-lft-out_binary64`
549×	`unswap-sqr_binary64`
497×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	239	41
3	928	37
4	1549	37
5	3195	37
6	3534	37
7	3698	33
8	2289	33
9	2775	33
10	2823	33
11	4807	33
12	5324	33

prune6.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
▶	0.1b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Status

Error

Program

0.5b

(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))

▶

0.1b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Compiler

Compiled 272 to 147 computations (46% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓	0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
✓	0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	1.0b	(sqrt.f64 (PI.f64))

series79.0ms (2.1%)

Counts

4 → 36

Calls

4 calls:

57.0ms	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
12.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
10.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 (PI.f64))

rewrite41.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

274×	`log1p-expm1-u_binary64`
274×	`expm1-log1p-u_binary64`
268×	`add-cbrt-cube_binary64`
267×	`add-log-exp_binary64`
266×	`add-exp-log_binary64`

Counts

4 → 63

Calls

4 calls:

40.0ms	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
40.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
40.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
40.0ms	(sqrt.f64 (PI.f64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	89
1	612	66
2	4919	66
0	0	0
1	0	0

simplify129.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2001×	`fma-def_binary64`
777×	`*-commutative_binary64`
687×	`associate-l_binary64`
479×	`associate-r_binary64`
450×	`sqr-pow_binary64`

Counts

99 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	720
1	63	720
2	156	720
3	399	696
4	927	696
5	2296	696
6	2662	696
7	2663	696
8	2777	696
9	2969	696
10	3254	696
11	4429	696
12	4853	696
13	4891	696

prune70.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Error

Counts

67 → 4

Alt Table

Status	Error	Program
	41.3b	(fabs.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64))) 3)))
	0.7b	(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64)))) 2))
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
▶	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))

Compiler

Compiled 3833 to 1672 computations (56.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
✓	0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
✓	0.1b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

series92.0ms (2.5%)

Counts

4 → 0

Calls

4 calls:

56.0ms	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
16.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
12.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
8.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

rewrite70.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

466×	`log1p-udef_binary64`
259×	`log1p-expm1-u_binary64`
259×	`expm1-log1p-u_binary64`
250×	`add-log-exp_binary64`
249×	`add-cbrt-cube_binary64`

Counts

4 → 58

Calls

4 calls:

69.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
69.0ms	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
69.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
69.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	69
1	561	67
2	4806	67
3	5375	67
0	0	0
1	0	0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune67.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Status	Error	Program
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
	0.6b	(fabs.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))) 2))
▶	0.1b	(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))

Compiler

Compiled 2055 to 1495 computations (27.3% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))
✓	0.1b	(.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
✓	0.1b	(fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))
	0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))

series117.0ms (3.2%)

Counts

3 → 36

Calls

3 calls:

60.0ms

(*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))

37.0ms

(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))

19.0ms

(fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))

rewrite69.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

343×	`log1p-udef_binary64`
212×	`prod-diff_binary64`
210×	`add-sqr-sqrt_binary64`
203×	`log1p-expm1-u_binary64`
203×	`expm1-log1p-u_binary64`

Counts

3 → 67

Calls

3 calls:

67.0ms

(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))

67.0ms

(*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))

67.0ms

(fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	91
1	448	71
2	4349	71
3	5004	71
0	0	0
1	0	0

simplify146.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2001×	`fma-def_binary64`
777×	`*-commutative_binary64`
687×	`associate-l_binary64`
479×	`associate-r_binary64`
450×	`sqr-pow_binary64`

Counts

103 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	1116
1	63	1116
2	156	1116
3	399	1068
4	927	1068
5	2296	1068
6	2662	1068
7	2663	1068
8	2777	1068
9	2969	1068
10	3254	1068
11	4429	1068
12	4853	1068
13	4891	1068

prune100.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Error

Counts

89 → 3

Alt Table

Status	Error	Program
▶	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
	0.6b	(fabs.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))) 2))
✓	0.1b	(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))

Compiler

Compiled 2681 to 2057 computations (23.3% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))
✓	0.3b	(/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

series13.0ms (0.4%)

Counts

3 → 24

Calls

3 calls:

7.0ms

(/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))

3.0ms

(fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))

3.0ms

(*.f64 2/3 (pow.f64 x 3))

rewrite66.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

326×	`log1p-udef_binary64`
239×	`prod-diff_binary64`
190×	`add-sqr-sqrt_binary64`
184×	`log1p-expm1-u_binary64`
184×	`expm1-log1p-u_binary64`

Counts

3 → 73

Calls

3 calls:

64.0ms

(fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))

64.0ms

(*.f64 2/3 (pow.f64 x 3))

64.0ms

(/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
1	406	56
2	4252	56
3	5015	56
0	0	0
1	0	0

simplify135.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1073×	`fma-def_binary64`
750×	`cube-prod_binary64`
711×	`sqr-pow_binary64`
690×	`unswap-sqr_binary64`
582×	`fabs-mul_binary64`

Counts

97 → 92

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	627
1	102	627
2	243	535
3	580	475
4	1167	465
5	1645	465
6	1841	465
7	2088	465
8	2526	465
9	2549	465
10	2716	465
11	2979	465
12	3197	465
13	3572	465
14	4095	465
15	4379	465
16	4925	465

prune110.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

Counts

115 → 3

Alt Table

Status	Error	Program
✓	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
✓	0.1b	(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))
	0.3b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))) (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))

Compiler

Compiled 3091 to 2359 computations (23.7% saved)

regimes528.0ms (14.3%)

Accuracy

Total 0.1b remaining (87.6%)

Threshold costs 0.1b (87.6%)

Counts

72 → 1

Compiler

Compiled 10810 to 8186 computations (24.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	34
1	26	34
2	27	34
3	27	34

end98.0ms (2.6%)

Compiler: Compiled 125 to 102 computations (18.4% saved)

Details

analyze5.0ms (0.1%)

sample1.6s (42.4%)

simplify104.0ms (2.8%)

prune6.0ms (0.2%)

localize24.0ms (0.6%)

series79.0ms (2.1%)

rewrite41.0ms (1.1%)

simplify129.0ms (3.5%)

prune70.0ms (1.9%)

localize16.0ms (0.4%)

series92.0ms (2.5%)

rewrite70.0ms (1.9%)

simplify6.0ms (0.2%)

prune67.0ms (1.8%)

localize17.0ms (0.5%)

series117.0ms (3.2%)

rewrite69.0ms (1.9%)

simplify146.0ms (3.9%)

prune100.0ms (2.7%)

localize15.0ms (0.4%)

series13.0ms (0.4%)

rewrite66.0ms (1.8%)

simplify135.0ms (3.7%)

prune110.0ms (3%)

regimes528.0ms (14.3%)

simplify2.0ms (0.1%)

end98.0ms (2.6%)

Profiling