Metrics for Hyperbolic arcsine

analyze65.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
68.8%	68.7%	31.2%	0%	0%	0%	0%	5
71.9%	71.8%	28.1%	0%	0%	0%	0%	6
73.4%	73.4%	26.5%	0%	0%	0%	0%	7
74.2%	74.2%	25.8%	0%	0%	0%	0%	8
74.6%	74.6%	25.4%	0%	0%	0%	0%	9
74.8%	74.8%	25.2%	0%	0%	0%	0%	10
74.9%	74.9%	25.1%	0%	0%	0%	0%	11
75%	74.9%	25%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.2s (41.3%)

Results

1.1s	2542×	body	1024	valid
463.0ms	1243×	body	2048	valid
347.0ms	3086×	body	256	valid
302.0ms	1342×	body	512	valid
23.0ms	43×	body	4096	valid

Bogosity

preprocess356.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

4550×	`fma-def`
3750×	`associate-+r+`
3054×	`associate-+l+`
1272×	`distribute-lft-in`
480×	`distribute-lft-out`

Problems

131×	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
62×	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`
33×	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`
30×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	33	51
2	59	51
3	106	51
4	181	51
5	270	51
6	335	51
7	389	51
8	422	51
9	491	51
10	719	51
11	985	51
12	1210	51
13	1392	51
14	1402	51
15	1404	51
16	1404	51
17	2196	51
18	2451	51
19	2699	51
20	2832	51
21	2847	51
22	2847	51
23	4545	51
24	4545	51
25	4545	51
26	4545	51
27	4545	51
28	7625	51
29	7674	51
30	7856	51
31	7948	51
32	7959	51

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	17.7%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
▶	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	17.7%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize216.0ms (4%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	76.0%	(+.f64 x (hypot.f64 1 x))
✓	53.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	77.5%	(sqrt.f64 (+.f64 (*.f64 x x) 1))
✓	76.0%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	53.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 51 to 28 computations (45.1% saved)

series5.0ms (0.1%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms	x	@	-inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	0	(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite101.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log-prod`
832×	`fma-def`
754×	`prod-exp`
606×	`pow-prod-down`
490×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	283	67
2	2870	67

Stop Event

1×	node limit

Counts

5 → 268

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(+.f64 0 (hypot.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3/2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 4) 1/4)
(pow.f64 (pow.f64 (hypot.f64 1 x) 6) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 1 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (*.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))

simplify131.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-+l+`
648×	`associate-+r+`
568×	`sqr-pow`
484×	`times-frac`
480×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	9744
1	1023	9502
2	3142	8900

Stop Event

1×	node limit

Counts

328 → 275

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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1
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(/.f64 -1/2 x)
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1
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x
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(*.f64 -1 x)
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(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
x
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1
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(/.f64 -1/2 x)
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(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
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(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
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(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
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(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(+.f64 0 (hypot.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3/2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 4) 1/4)
(pow.f64 (pow.f64 (hypot.f64 1 x) 6) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 1 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (*.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))

Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
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(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
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(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
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1
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(+.f64 x 1)
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(+.f64 (+.f64 x 1) (.f64 1/2 (.f64 x x)))
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(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(+.f64 1 (+.f64 x (fma.f64 (pow.f64 x 4) -1/8 (.f64 1/2 (.f64 x x)))))
(+.f64 (+.f64 x 1) (fma.f64 (pow.f64 x 4) -1/8 (.f64 1/2 (.f64 x x))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (.f64 1/2 (.f64 x x))))
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(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (.f64 1/2 (.f64 x x)))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (pow.f64 x 6) 1/16 (.f64 1/2 (.f64 x x)))))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
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(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
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(-.f64 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
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x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
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(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
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(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
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(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
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1
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(+.f64 x 1)
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(+.f64 (+.f64 x 1) (.f64 1/2 (.f64 x x)))
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(+.f64 x (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(+.f64 1 (+.f64 x (fma.f64 (pow.f64 x 4) -1/8 (.f64 1/2 (.f64 x x)))))
(+.f64 (+.f64 x 1) (fma.f64 (pow.f64 x 4) -1/8 (.f64 1/2 (.f64 x x))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
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(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
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(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x) (hypot.f64 1 x))

eval150.0ms (2.8%)

Compiler: Compiled 3984 to 2925 computations (26.6% saved)

prune44.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	268	7	275
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	269	8	277

Accuracy

100.0%

Counts

277 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
▶	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x
▶	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
▶	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x

Compiler

Compiled 198 to 148 computations (25.3% saved)

localize134.0ms (2.5%)

Compiler: Compiled 86 to 57 computations (33.7% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	1	1
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x
✓	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x

Compiler

Compiled 108 to 80 computations (25.9% saved)

localize231.0ms (4.3%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
✓	76.0%	(+.f64 x (hypot.f64 1 x))
✓	53.6%	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series4.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`pow1`
1606×	`add-exp-log`
1606×	`log1p-expm1-u`
1606×	`expm1-log1p-u`
1568×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	178	51
2	2221	51

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1776×	`fma-def`
932×	`log-prod`
864×	`fma-neg`
608×	`exp-prod`
408×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3206
1	545	2680
2	1812	2384
3	6625	2384

Stop Event

1×	node limit

Counts

106 → 163

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 3/80 (pow.f64 x 5)) (.f64 1/2 x))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 -1/16 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x)))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x)))
(fma.f64 1/2 x (fma.f64 3/80 (pow.f64 x 5) (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/12 (pow.f64 x 3)) (+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 3/80 (pow.f64 x 5)) (.f64 1/2 x))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -5/224 (pow.f64 x 7) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 3/80 (pow.f64 x 5) (*.f64 -5/224 (pow.f64 x 7)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (.f64 1/2 (.f64 x x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (+.f64 x 1))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))))
(+.f64 x (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
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(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (sqrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

eval65.0ms (1.2%)

Compiler: Compiled 2588 to 2028 computations (21.6% saved)

prune26.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	163	8	171

Accuracy

100.0%

Counts

171 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x
✓	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x

Compiler

Compiled 108 to 80 computations (25.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	28.9%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓	31.1%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	26.0%	(log.f64 (/.f64 -1/2 x))
✓	29.0%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.3%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓	23.5%	(log.f64 (*.f64 x 2))
	53.4%	x

Compiler

Compiled 110 to 79 computations (28.2% saved)

regimes33.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

17.0ms	x
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
99.6%	3	`x`
87.5%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
87.5%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 77 to 53 computations (31.2% saved)

regimes16.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes14.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (*.f64 x 2))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))

Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (*.f64 x 2))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log.f64 (*.f64 x 2))

Outputs
x
(log.f64 (*.f64 x 2))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
75.0%	2	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.4%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.12748076162409e-7	243.99244678969163
16.0ms	-0.03906836401653113	-3.3294647138253013e-6

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 311 to 239 computations (23.2% saved)

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.12748076162409e-7	243.99244678969163
17.0ms	-18.44740742444965	-0.03906836401653113

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 287 to 223 computations (22.3% saved)

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.12748076162409e-7	243.99244678969163
16.0ms	-18.44740742444965	-0.03906836401653113

Results

35.0ms

272×

body

256

valid

Compiler

Compiled 305 to 232 computations (23.9% saved)

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.12748076162409e-7	243.99244678969163
15.0ms	-18.44740742444965	-0.03906836401653113

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 269 to 214 computations (20.4% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.12748076162409e-7	243.99244678969163
15.0ms	-18.44740742444965	-0.03906836401653113

Results

29.0ms

272×

body

256

valid

Compiler

Compiled 167 to 129 computations (22.8% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.12748076162409e-7	243.99244678969163

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 95 to 73 computations (23.2% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	333
1	62	333
2	67	333
3	70	333
4	71	333

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -8762203435012037/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 1152921504606847/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1152921504606847/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x

Outputs
(if (<=.f64 x -8762203435012037/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 1152921504606847/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1152921504606847/1152921504606846976) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x

Compiler

Compiled 137 to 99 computations (27.7% saved)

soundness990.0ms (18.5%)

Rules

4550×	`fma-def`
3750×	`associate-+r+`
3054×	`associate-+l+`
1272×	`distribute-lft-in`
874×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	283	67
2	2870	67
0	428	9744
1	1023	9502
2	3142	8900
0	16	73
1	33	51
2	59	51
3	106	51
4	181	51
5	270	51
6	335	51
7	389	51
8	422	51
9	491	51
10	719	51
11	985	51
12	1210	51
13	1392	51
14	1402	51
15	1404	51
16	1404	51
17	2196	51
18	2451	51
19	2699	51
20	2832	51
21	2847	51
22	2847	51
23	4545	51
24	4545	51
25	4545	51
26	4545	51
27	4545	51
28	7625	51
29	7674	51
30	7856	51
31	7948	51
32	7959	51
0	428	9744
1	1023	9502
2	3142	8900
0	428	9744
1	1023	9502
2	3142	8900

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 451 to 287 computations (36.4% saved)

end0.0ms (0%)

preprocess129.0ms (2.4%)

Compiler: Compiled 332 to 234 computations (29.5% saved)

analyze65.0ms (1.2%)

sample2.2s (41.3%)

preprocess356.0ms (6.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize216.0ms (4%)

series5.0ms (0.1%)

rewrite101.0ms (1.9%)

simplify131.0ms (2.4%)

eval150.0ms (2.8%)

prune44.0ms (0.8%)

localize134.0ms (2.5%)

eval0.0ms (0%)

prune6.0ms (0.1%)

localize231.0ms (4.3%)

series4.0ms (0.1%)

rewrite69.0ms (1.3%)

simplify84.0ms (1.6%)

eval65.0ms (1.2%)

prune26.0ms (0.5%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes33.0ms (0.6%)

regimes16.0ms (0.3%)

regimes14.0ms (0.3%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch34.0ms (0.6%)

bsearch34.0ms (0.6%)

bsearch39.0ms (0.7%)

bsearch34.0ms (0.6%)

bsearch32.0ms (0.6%)

bsearch17.0ms (0.3%)

simplify38.0ms (0.7%)

soundness990.0ms (18.5%)

end0.0ms (0%)

preprocess129.0ms (2.4%)

Profiling