Metrics for sqrtexp (problem 3.4.4)

analyze801.0ms (12.1%)

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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
53.1%	53.1%	46.9%	0%	0%	0%	0%	6
54.7%	54.7%	45.3%	0%	0%	0%	0%	7
55.5%	55.4%	44.5%	0%	0%	0%	0%	8
55.9%	55.8%	44.1%	0%	0%	0%	0%	9
56.1%	56%	43.9%	0%	0%	0%	0%	10
56.2%	56.1%	43.8%	0%	0%	0%	0%	11
56.2%	56.2%	43.8%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.8s (41.5%)

Results

1.3s	2783×	body	1024	valid
572.0ms	3830×	body	256	valid
367.0ms	2652×	body	256	unsamplable
322.0ms	1281×	body	512	valid
151.0ms	314×	body	2048	valid
7.0ms	48×	body	256	infinite

Bogosity

preprocess80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-/l*`
1124×	`associate-r`
1066×	`associate-/r*`
890×	`associate-l`
680×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	83
1	48	79
2	78	79
3	157	79
4	375	67
5	1504	49

Stop Event

1×	node limit

Calls

Call 1

Inputs

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval1.0ms (0%)

Compiler: Compiled 29 to 20 computations (31% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize24.0ms (0.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite294.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`pow1`
1340×	`add-exp-log`
1340×	`log1p-expm1-u`
1340×	`expm1-log1p-u`
1312×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	157	15
2	1871	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`fma-def`
1136×	`unswap-sqr`
782×	`cancel-sign-sub-inv`
648×	`times-frac`
640×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	973
1	210	803
2	547	699
3	1719	611
4	5703	611

Stop Event

1×	node limit

Counts

27 → 48

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 3/8 (*.f64 x x)))))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 x (*.f64 x 3/8)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 3/16 (sqrt.f64 2)) (.f64 x x) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 7/96 (pow.f64 x 3))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval14.0ms (0.2%)

Compiler: Compiled 655 to 512 computations (21.8% saved)

prune10.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Accuracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.7%	(sqrt.f64 2)
▶	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	99.0%	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.7%	(sqrt.f64 2)
▶	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 52 to 46 computations (11.5% saved)

localize87.0ms (1.3%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	99.0%	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
✓	99.6%	(log1p.f64 (exp.f64 x))
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series53.0ms (0.8%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
25.0ms	x	@	inf	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
1.0ms	x	@	0	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
1.0ms	x	@	0	(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite398.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`prod-diff`
1070×	`fma-def`
1034×	`log-prod`
554×	`pow-prod-up`
508×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	295	60
2	3561	60

Stop Event

1×	node limit

Counts

4 → 273

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Outputs
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 1 (.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(+.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1)
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (-.f64 1 (.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (-.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) -1)
(pow.f64 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) -1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(expm1.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(hypot.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(fma.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1)
(fma.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1 0)
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 0)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1) -1)
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) 0)
(fma.f64 (-.f64 0 (exp.f64 x)) (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 0)
(fma.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2) 0)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 1) (expm1.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x)))) 1)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 3 x))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)) (*.f64 1/4 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/6)) (.f64 1/3 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 3 x))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 3 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 3 x))) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 2)) (log.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 2)))
(-.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 2)) (log.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) 2)))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (expm1.f64 (.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (log.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (log.f64 (.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(-.f64 (log.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (expm1.f64 (.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(.f64 1/2 (.f64 2 (log1p.f64 (exp.f64 x))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 3 (.f64 1/3 (log1p.f64 (exp.f64 x))))
(.f64 2 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 3 x))))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
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(fma.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 1)

simplify146.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1684×	`times-frac`
868×	`unswap-sqr`
650×	`exp-prod`
586×	`log-prod`
518×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	490	10743
1	1104	10247
2	3930	10217

Stop Event

1×	node limit

Counts

313 → 329

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/4 (.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/4 (.f64 (sqrt.f64 2) x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 1 (.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(+.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1)
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (-.f64 1 (.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (-.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) -1)
(pow.f64 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) -1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(expm1.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(hypot.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(fma.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1)
(fma.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1 0)
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 0)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1) -1)
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) 0)
(fma.f64 (-.f64 0 (exp.f64 x)) (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 0)
(fma.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2) 0)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 1) (expm1.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x)))) 1)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 3 x))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)) (*.f64 1/4 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/6)) (.f64 1/3 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 3 x))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 3 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 3 x))) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 2)) (log.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 2)))
(-.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 2)) (log.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) 2)))
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(*.f64 (-.f64 0 (exp.f64 x)) (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (-.f64 0 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) 1) (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 2)
(pow.f64 (/.f64 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (-.f64 0 (exp.f64 x))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 1)

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/4 (.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 1/4 (.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (.f64 (.f64 x x) 3/32))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/4 (.f64 (sqrt.f64 2) x)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 1/4 (*.f64 (sqrt.f64 2) x)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 1/4 (.f64 (sqrt.f64 2) x) (.f64 7/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 3/32 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 7/384))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/2 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 x 1/2) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (+.f64 (sqrt.f64 2) 1) (/.f64 (*.f64 x 1/2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) 1))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (+.f64 (sqrt.f64 2) 1) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) 1))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(+.f64 (+.f64 (sqrt.f64 2) 1) (fma.f64 1/2 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 1 (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x)))) 1)))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (.f64 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) -1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) (+.f64 2 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2)))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (/.f64 -1 (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2) (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 -1 (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
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(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 0 (exp.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 0 (exp.f64 x))) (neg.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) 1) (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 0 (exp.f64 x)) 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 3)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) 1/3)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 2)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (/.f64 (+.f64 1 (+.f64 (exp.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))) -1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (-.f64 (+.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (-.f64 0 (exp.f64 x))) -1)
(/.f64 (neg.f64 (exp.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2))
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3))
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))
(expm1.f64 (log.f64 (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1) 1))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 3))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1/3))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3) 1/3))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2) (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 2 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (/.f64 1 (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (+.f64 2 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2) 1 -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2))) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) 1)
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 1)
(fma.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) (expm1.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) 1)
(fma.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))) 1)

eval363.0ms (5.5%)

Compiler: Compiled 6845 to 5005 computations (26.9% saved)

prune79.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	375	2	377
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	377	4	381

Accuracy

100.0%

Counts

381 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.7%	(sqrt.f64 2)
▶	66.2%	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
▶	70.7%	(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.7%	(sqrt.f64 2)
▶	66.2%	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))

Compiler

Compiled 52 to 48 computations (7.7% saved)

localize338.0ms (5.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	98.4%	(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	99.0%	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))

Compiler

Compiled 47 to 42 computations (10.6% saved)

series16.0ms (0.2%)

Counts

3 → 15

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (log.f64 2))
5.0ms	x	@	inf	(+.f64 (*.f64 1/2 x) (log.f64 2))
1.0ms	x	@	0	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
0.0ms	x	@	-inf	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
0.0ms	x	@	inf	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))

rewrite268.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`prod-diff`
1236×	`log-prod`
916×	`fma-def`
492×	`expm1-udef`
490×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	321	39
2	4079	39

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))) 1)
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(.f64 (pow.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4) (pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 1)
(pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/2)
(pow.f64 (E.f64) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/4))) (cbrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 1/2 x (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/2 x (log1p.f64 -1/2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (.f64 x x) 1/4))))
(.f64 (fma.f64 (.f64 x x) 1/4 (*.f64 (log1p.f64 -1/2) (log.f64 2))) (/.f64 1 (fma.f64 1/2 x (log1p.f64 -1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (log1p.f64 -1/2)) (fma.f64 (.f64 x x) 1/4 (.f64 (log1p.f64 -1/2) (log.f64 2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (log.f64 (sqrt.f64 2))))))
(/.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (log1p.f64 -1/2) (log.f64 2))) (fma.f64 1/2 x (log1p.f64 -1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (log1p.f64 -1/2) (log.f64 2)))) (neg.f64 (fma.f64 1/2 x (log1p.f64 -1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 x))) 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1/2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))) 1 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/4)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/4)) (cbrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (.f64 1/2 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (sqrt.f64 2) 0)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(+.f64 0 (sqrt.f64 2))
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) (cbrt.f64 (exp.f64 (sqrt.f64 2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) 1))
(.f64 (expm1.f64 (.f64 (log1p.f64 (sqrt.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(.f64 (.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 3/2) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 1))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) 1 0)
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(fma.f64 (+.f64 (sqrt.f64 2) 1) 1 -1)
(fma.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2) 0)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 1) -1)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1) 0)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (*.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 2 3/2)) (/.f64 1 (-.f64 3 (sqrt.f64 2))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))) 0)
(fma.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)) 0)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) 0)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`unswap-sqr`
902×	`associate-+l+`
426×	`log-prod`
414×	`associate-/r*`
400×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	3757
1	727	3563
2	2638	3485

Stop Event

1×	node limit

Counts

159 → 196

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) x)) (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/384 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) x)) (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))) 1)
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(.f64 (pow.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4) (pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 1)
(pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/2)
(pow.f64 (E.f64) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/4))) (cbrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 1/2 x (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/2 x (log1p.f64 -1/2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (.f64 x x) 1/4))))
(.f64 (fma.f64 (.f64 x x) 1/4 (*.f64 (log1p.f64 -1/2) (log.f64 2))) (/.f64 1 (fma.f64 1/2 x (log1p.f64 -1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (log1p.f64 -1/2)) (fma.f64 (.f64 x x) 1/4 (.f64 (log1p.f64 -1/2) (log.f64 2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (log.f64 (sqrt.f64 2))))))
(/.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (log1p.f64 -1/2) (log.f64 2))) (fma.f64 1/2 x (log1p.f64 -1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (log1p.f64 -1/2) (log.f64 2)))) (neg.f64 (fma.f64 1/2 x (log1p.f64 -1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 x))) 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1/2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))) 1 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1 (.f64 1/2 (fma.f64 1/2 x (log.f64 2))) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/4)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/4)) (cbrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (.f64 1/2 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (sqrt.f64 2) 0)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(+.f64 0 (sqrt.f64 2))
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) (cbrt.f64 (exp.f64 (sqrt.f64 2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) 1))
(.f64 (expm1.f64 (.f64 (log1p.f64 (sqrt.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(.f64 (.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 3/2) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 1))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) 1 0)
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(fma.f64 (+.f64 (sqrt.f64 2) 1) 1 -1)
(fma.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2) 0)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 1) -1)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1) 0)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (*.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 2 3/2)) (/.f64 1 (-.f64 3 (sqrt.f64 2))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))) 0)
(fma.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)) 0)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) 0)

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) x)) (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 (sqrt.f64 2) x) (.f64 1/32 (.f64 (sqrt.f64 2) (.f64 x x)))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 x) (.f64 (.f64 x x) 1/32))))
(+.f64 (.f64 1/384 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) x)) (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(fma.f64 1/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 (sqrt.f64 2) x) (.f64 1/32 (.f64 (sqrt.f64 2) (*.f64 x x))))))
(+.f64 (fma.f64 1/4 (.f64 (sqrt.f64 2) x) (.f64 1/32 (.f64 (sqrt.f64 2) (.f64 x x)))) (fma.f64 1/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 x) (.f64 (.f64 x x) 1/32))) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 (pow.f64 x 3) 1/384))))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(exp.f64 (.f64 1/2 (-.f64 (log.f64 2) (.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))) 1)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) 1)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x)))))
(.f64 (pow.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4) (pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 1)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/2)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (E.f64) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(pow.f64 (exp.f64 1/2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (exp.f64 (.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 1/4) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))) 3)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))) 3) 1/3)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) 1/4) 2)
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
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(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(sqrt.f64 2)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) 1))
(sqrt.f64 2)
(.f64 (expm1.f64 (.f64 (log1p.f64 (sqrt.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) 2)))
(.f64 (.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) 2)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (pow.f64 2 3/2) 2)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) 2)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 3/2) 1/3)
(cbrt.f64 (pow.f64 2 3/2))
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 2) 1/2))
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(fma.f64 (sqrt.f64 2) 1 0)
(sqrt.f64 2)
(fma.f64 1 (sqrt.f64 2) 0)
(sqrt.f64 2)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 2)
(fma.f64 (+.f64 (sqrt.f64 2) 1) 1 -1)
(sqrt.f64 2)
(fma.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2) 0)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1) 0)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(fma.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) -1)
(sqrt.f64 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(sqrt.f64 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 1) -1)
(sqrt.f64 2)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(sqrt.f64 2)
(fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1) 0)
(sqrt.f64 2)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (*.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(fma.f64 (+.f64 1 (pow.f64 2 3/2)) (/.f64 1 (-.f64 3 (sqrt.f64 2))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 2 3/2)) (-.f64 3 (sqrt.f64 2))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))) 0)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) 2)))
(fma.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)) 0)
(sqrt.f64 2)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) 0)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 2 1/4))) (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) -1))
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)

eval140.0ms (2.1%)

Compiler: Compiled 2791 to 2449 computations (12.3% saved)

prune26.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	193	3	196
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	194	6	200

Accuracy

100.0%

Counts

200 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(/.f64 2 (sqrt.f64 2))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.7%	(sqrt.f64 2)
✓	66.2%	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
▶	15.2%	(exp.f64 (.f64 (.f64 x 1/2) 1/2))
▶	70.7%	(cbrt.f64 (pow.f64 2 3/2))
▶	70.7%	(/.f64 2 (sqrt.f64 2))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.7%	(sqrt.f64 2)
✓	66.2%	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
▶	15.2%	(exp.f64 (.f64 (.f64 x 1/2) 1/2))
▶	70.7%	(cbrt.f64 (pow.f64 2 3/2))

Compiler

Compiled 72 to 66 computations (8.3% saved)

localize95.0ms (1.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	98.4%	(/.f64 2 (sqrt.f64 2))
✓	98.4%	(cbrt.f64 (pow.f64 2 3/2))

Compiler

Compiled 34 to 30 computations (11.8% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite97.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`pow1`
1174×	`add-exp-log`
1174×	`log1p-expm1-u`
1174×	`expm1-log1p-u`
1148×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	189	10
2	2186	10

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 2 3/2))
(/.f64 2 (sqrt.f64 2))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(*.f64 2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) 2)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 2 3/4) 1/3) (pow.f64 (pow.f64 2 3/4) 1/3))
(/.f64 2 (sqrt.f64 2))
(/.f64 2 (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 1 (pow.f64 2 -1/2))
(/.f64 1 (/.f64 (pow.f64 2 -1/2) 1))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 -1 (neg.f64 (pow.f64 2 -1/2)))
(/.f64 (/.f64 2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 2 (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (sqrt.f64 8) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (pow.f64 2 -1/2) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(*.f64 2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) 2)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 2 3/4) 1/3) (pow.f64 (pow.f64 2 3/4) 1/3))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (sqrt.f64 8) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (pow.f64 2 -1/2) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(cbrt.f64 (sqrt.f64 8))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-neg`
1524×	`log-prod`
1098×	`fma-def`
988×	`log-div`
512×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	891
1	126	655
2	387	463
3	1494	447
4	5962	447

Stop Event

1×	node limit

Counts

53 → 36

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(*.f64 2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) 2)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 2 3/4) 1/3) (pow.f64 (pow.f64 2 3/4) 1/3))
(/.f64 2 (sqrt.f64 2))
(/.f64 2 (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 1 (pow.f64 2 -1/2))
(/.f64 1 (/.f64 (pow.f64 2 -1/2) 1))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 -1 (neg.f64 (pow.f64 2 -1/2)))
(/.f64 (/.f64 2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 2 (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (sqrt.f64 8) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (pow.f64 2 -1/2) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(*.f64 2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) 2)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 2 3/4) 1/3) (pow.f64 (pow.f64 2 3/4) 1/3))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (sqrt.f64 8) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (pow.f64 2 -1/2) -1)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(cbrt.f64 (sqrt.f64 8))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 2 (pow.f64 2 -1/2))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) 2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (pow.f64 (pow.f64 2 3/4) 1/3) (pow.f64 (pow.f64 2 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 2 3/4)) (cbrt.f64 (pow.f64 2 3/4)))
(pow.f64 (pow.f64 (pow.f64 2 3/4) 1/6) 4)
(/.f64 2 (sqrt.f64 2))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (pow.f64 2 -1/2))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (/.f64 (pow.f64 2 -1/2) 1))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(/.f64 -1 (neg.f64 (pow.f64 2 -1/2)))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(/.f64 (/.f64 2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 2 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 (/.f64 2 (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(pow.f64 2 1/2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 8) 1/3)
(cbrt.f64 (sqrt.f64 8))
(pow.f64 (pow.f64 2 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 -1/2) -1)
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(log.f64 (exp.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(-.f64 (+.f64 1 (sqrt.f64 2)) 1)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 2 (pow.f64 2 -1/2))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 -2 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) 2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(*.f64 (pow.f64 (pow.f64 2 3/4) 1/3) (pow.f64 (pow.f64 2 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 2 3/4)) (cbrt.f64 (pow.f64 2 3/4)))
(pow.f64 (pow.f64 (pow.f64 2 3/4) 1/6) 4)
(pow.f64 2 1/2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 8) 1/3)
(cbrt.f64 (sqrt.f64 8))
(pow.f64 (pow.f64 2 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 -1/2) -1)
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(log.f64 (exp.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(cbrt.f64 (sqrt.f64 8))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(+.f64 (+.f64 1 (sqrt.f64 2)) -1)
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)

eval7.0ms (0.1%)

Compiler: Compiled 199 to 199 computations (0% saved)

prune8.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	36	6	42

Accuracy

100.0%

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	(/.f64 2 (sqrt.f64 2))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.7%	(sqrt.f64 2)
✓	66.2%	(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
✓	15.2%	(exp.f64 (.f64 (.f64 x 1/2) 1/2))
	70.7%	(cbrt.f64 (sqrt.f64 8))

Compiler

Compiled 102 to 89 computations (12.7% saved)

regimes15.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(/.f64 2 (sqrt.f64 2))
(exp.f64 (.f64 (.f64 x 1/2) 1/2))
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
(cbrt.f64 (sqrt.f64 8))
(cbrt.f64 (pow.f64 2 3/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/2))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

3 calls:

7.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 94 to 79 computations (16% saved)

regimes27.0ms (0.4%)

Accuracy

Total -36.4b remaining (-200.5%)

Threshold costs -36.4b (-200.5%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(/.f64 2 (sqrt.f64 2))
(exp.f64 (.f64 (.f64 x 1/2) 1/2))
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
(cbrt.f64 (sqrt.f64 8))
(cbrt.f64 (pow.f64 2 3/2))

Outputs
(sqrt.f64 2)

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
71.7%	1	`x`

Compiler

Compiled 28 to 26 computations (7.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	13	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness119.0ms (1.8%)

Rules

1352×	`associate-/l*`
1124×	`associate-r`
1066×	`associate-/r*`
890×	`associate-l`
680×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	83
1	48	79
2	78	79
3	157	79
4	375	67
5	1504	49

Stop Event

1×	node limit

Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess114.0ms (1.7%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

analyze801.0ms (12.1%)

sample2.8s (41.5%)

preprocess80.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.4%)

series1.0ms (0%)

rewrite294.0ms (4.4%)

simplify71.0ms (1.1%)

eval14.0ms (0.2%)

prune10.0ms (0.2%)

localize87.0ms (1.3%)

series53.0ms (0.8%)

rewrite398.0ms (6%)

simplify146.0ms (2.2%)

eval363.0ms (5.5%)

prune79.0ms (1.2%)

localize338.0ms (5.1%)

series16.0ms (0.2%)

rewrite268.0ms (4%)

simplify113.0ms (1.7%)

eval140.0ms (2.1%)

prune26.0ms (0.4%)

localize95.0ms (1.4%)

series0.0ms (0%)

rewrite97.0ms (1.5%)

simplify60.0ms (0.9%)

eval7.0ms (0.1%)

prune8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes27.0ms (0.4%)

simplify12.0ms (0.2%)

soundness119.0ms (1.8%)

end0.0ms (0%)

preprocess114.0ms (1.7%)

Profiling