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 (30.3%)

Results

1.5s	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 210 to 97 computations (53.8% saved)

simplify103.0ms (1.9%)

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 (0.1%)

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)

localize26.0ms (0.5%)

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 (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))

series73.0ms (1.4%)

Counts

4 → 36

Calls

4 calls:

58.0ms	(.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)))))
9.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 (PI.f64))

rewrite62.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64`
39×	`add-exp-log_binary64`
38×	`add-cbrt-cube_binary64`
36×	`associate-l_binary64`
35×	`pow1_binary64`

Counts

4 → 155

Calls

4 calls:

23.0ms	(.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)))))
9.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
1.0ms	(sqrt.f64 (PI.f64))

simplify146.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

519×	`associate-r_binary64`
418×	`associate-l_binary64`
389×	`cancel-sign-sub-inv_binary64`
313×	`fma-neg_binary64`
213×	`*-commutative_binary64`

Counts

191 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	7308
1	870	5784
2	3510	5032
3	4912	5032

prune326.0ms (6.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	306	4	310

Error

Counts

310 → 4

Alt Table

Status	Error	Program
	1.1b	(fabs.f64 (.f64 (/.f64 1 (expm1.f64 (log1p.f64 (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	(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)))))))
	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))))
	31.3b	(fabs.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))) (.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))) 105))))

Compiler

Compiled 24423 to 9259 computations (62.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series94.0ms (1.8%)

Counts

4 → 0

Calls

4 calls:

57.0ms	(.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))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-sqr-sqrt_binary64`
45×	`associate-r_binary64`
30×	`unpow-prod-down_binary64`
28×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64`

Counts

4 → 154

Calls

4 calls:

20.0ms	(.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))))))
7.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
6.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
5.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))

simplify115.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary64`
418×	`fma-neg_binary64`
261×	`associate-l_binary64`
244×	`associate-r_binary64`
199×	`associate-+r+_binary64`

Counts

154 → 229

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3894
1	602	3642
2	2070	2958
3	4180	2958
4	4888	2958

prune292.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	229	4	233

Error

Counts

233 → 4

Alt Table

Status	Error	Program
	31.5b	(fabs.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (.f64 1/441 (pow.f64 x 14)) (.f64 (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))) (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))))) (-.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	(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)))))))
	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 (.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (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 9512 to 6903 computations (27.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (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 2/3 (pow.f64 (fabs.f64 x) 3))
✓	0.1b	(*.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7)))
✓	6.6b	(sqrt.f64 (pow.f64 (fabs.f64 x) 7))

series96.0ms (1.8%)

Counts

3 → 12

Calls

3 calls:

60.0ms

(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (*.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (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))))))

18.0ms

(*.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7)))

18.0ms

(sqrt.f64 (pow.f64 (fabs.f64 x) 7))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
43×	`sqrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
20×	`unpow-prod-down_binary64`
20×	`add-cube-cbrt_binary64`

Counts

3 → 106

Calls

3 calls:

23.0ms

(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (*.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (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))))))

6.0ms

(*.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7)))

3.0ms

(sqrt.f64 (pow.f64 (fabs.f64 x) 7))

simplify140.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-neg_binary64`
700×	`fma-def_binary64`
195×	`associate-+r+_binary64`
186×	`associate-l_binary64`
182×	`associate-+l+_binary64`

Counts

118 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	3774
1	421	3603
2	1607	3415
3	3764	3415
4	4887	3415
5	4981	3415

prune433.0ms (8.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	268	4	272

Error

Counts

272 → 4

Alt Table

Status	Error	Program
✓	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)))))))
	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 (.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (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)))))))
▶	0.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (.f64 (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2) (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2))) (+.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 12815 to 9063 computations (29.3% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7)))
✓	0.2b	(*.f64 (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2) (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2))
✓	0.5b	(pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2)
	6.6b	(sqrt.f64 (pow.f64 (fabs.f64 x) 7))

series231.0ms (4.3%)

Counts

2 → 24

Calls

2 calls:

215.0ms	(pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2)
16.0ms	(*.f64 (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2) (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`unpow-prod-down_binary64`
91×	`add-sqr-sqrt_binary64`
73×	`sqrt-prod_binary64`
36×	`unswap-sqr_binary64`
27×	`fabs-mul_binary64`

Counts

2 → 133

Calls

2 calls:

10.0ms	(*.f64 (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2) (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2))
7.0ms	(pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2)

simplify155.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

625×	`unswap-sqr_binary64`
421×	`sqr-pow_binary64`
327×	`*-commutative_binary64`
251×	`fma-def_binary64`
246×	`log-prod_binary64`

Counts

157 → 149

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	2884
1	217	2800
2	751	2689
3	1042	2677
4	2114	2614
5	3649	2614
6	4520	2614
7	4822	2614

prune496.0ms (9.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Error

Counts

287 → 4

Alt Table

Status	Error	Program
✓	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)))))))
	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 (.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (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)))))))
✓	0.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (.f64 1/21 (sqrt.f64 (pow.f64 (fabs.f64 x) 7))) (.f64 (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2) (pow.f64 (sqrt.f64 (fabs.f64 x)) 7/2))) (+.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 14541 to 9506 computations (34.6% saved)

regimes582.0ms (10.9%)

Accuracy

Total 0.1b remaining (81.3%)

Threshold costs 0.1b (81.3%)

Counts

65 → 1

Compiler

Compiled 17799 to 12491 computations (29.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	47
1	31	47
2	30	47

end139.0ms (2.6%)

Compiler: Compiled 201 to 159 computations (20.9% saved)

Details

analyze5.0ms (0.1%)

sample1.6s (30.3%)

simplify103.0ms (1.9%)

prune6.0ms (0.1%)

localize26.0ms (0.5%)

series73.0ms (1.4%)

rewrite62.0ms (1.2%)

simplify146.0ms (2.7%)

prune326.0ms (6.1%)

localize16.0ms (0.3%)

series94.0ms (1.8%)

rewrite49.0ms (0.9%)

simplify115.0ms (2.2%)

prune292.0ms (5.5%)

localize18.0ms (0.3%)

series96.0ms (1.8%)

rewrite45.0ms (0.8%)

simplify140.0ms (2.6%)

prune433.0ms (8.1%)

localize25.0ms (0.5%)

series231.0ms (4.3%)

rewrite30.0ms (0.6%)

simplify155.0ms (2.9%)

prune496.0ms (9.3%)

regimes582.0ms (10.9%)

simplify3.0ms (0%)

end139.0ms (2.6%)

Profiling