Metrics for sqrtexp (problem 3.4.4)

analyze125.0ms (3.7%)

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)

sample1.9s (55.5%)

Results

896.0ms	2715×	body	1024	valid
399.0ms	3810×	body	256	valid
262.0ms	1394×	body	512	valid
191.0ms	2498×	body	256	unsamplable
114.0ms	291×	body	2048	valid
5.0ms	46×	body	256	infinite

Bogosity

preprocess243.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/l*`
1124×	`associate-r`
1040×	`associate-/r*`
904×	`associate-l`
680×	`fma-def`

Problems

164×	`(-.f64 (exp.f64 (*.f64 2 x)) 1)`
81×	No Errors
6×	`(-.f64 (exp.f64 x) 1)`
5×	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	50	97
2	80	97
3	159	97
4	377	76
5	1503	58

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 (+.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 (+.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 60 to 45 computations (25% saved)

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% 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)

localize23.0ms (0.7%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite105.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`unpow-prod-down`
386×	`log1p-expm1-u`
386×	`expm1-log1p-u`
368×	`log-prod`
364×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	96	32
2	1085	32

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

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

simplify85.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1118×	`fma-def`
690×	`unswap-sqr`
626×	`distribute-lft-in`
578×	`distribute-rgt-in`
556×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	3923
1	657	3772
2	1837	3482
3	6541	3440

Stop Event

1×	node limit

Counts

115 → 165

Calls

Call 1

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

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

eval68.0ms (2%)

Compiler: Compiled 2203 to 1591 computations (27.8% saved)

prune26.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	4	166

Accuracy

100.0%

Counts

166 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.4%	(sqrt.f64 2)
▶	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.4%	(sqrt.f64 2)
▶	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize84.0ms (2.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
✓	98.5%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 32 to 19 computations (40.6% saved)

series43.0ms (1.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
0.0ms	x	@	0	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

rewrite65.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`unpow-prod-down`
434×	`log-prod`
408×	`cbrt-prod`
368×	`sqrt-prod`
352×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	100	30
2	1026	30

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

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

simplify98.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1740×	`fma-def`
864×	`log-prod`
816×	`distribute-lft-in`
728×	`distribute-rgt-in`
612×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4504
1	681	4365
2	1866	4140
3	7406	4140

Stop Event

1×	node limit

Counts

145 → 184

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
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(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5) 1/2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 5)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 5/2))
(.f64 (pow.f64 (.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(.f64 (cbrt.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)))
(.f64 (cbrt.f64 (.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(.f64 (cbrt.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/4)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 5)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 5/2))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) 1)) (E.f64))
(/.f64 (pow.f64 (exp.f64 1/2) (+.f64 1 (log1p.f64 (exp.f64 x)))) (exp.f64 1/2))
(/.f64 (exp.f64 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/4)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(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 (cbrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(pow.f64 (pow.f64 (E.f64) 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (sqrt.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (exp.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval51.0ms (1.5%)

Compiler: Compiled 2545 to 1650 computations (35.2% saved)

prune35.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	183	5	188

Accuracy

100.0%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.4%	(sqrt.f64 2)
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	66.4%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.4%	(sqrt.f64 2)
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 60 to 52 computations (13.3% saved)

localize34.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))

Compiler

Compiled 24 to 20 computations (16.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))

rewrite56.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`unpow-prod-down`
558×	`log-prod`
523×	`log1p-expm1-u`
523×	`expm1-log1p-u`
474×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	124	22
2	1487	22

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))

Outputs
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(+.f64 0 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (sqrt.f64 2))
(+.f64 (.f64 (.f64 x 1/4) (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1)
(/.f64 (.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 3) 1/64 1)) (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x 1/4)))
(/.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 2) 1/16 -1)) (fma.f64 x 1/4 -1))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (sqrt.f64 2)) (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x 1/4)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (sqrt.f64 2)) (fma.f64 x 1/4 -1))
(pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 2))
(exp.f64 (+.f64 (log1p.f64 (.f64 x 1/4)) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log1p.f64 (.f64 x 1/4)) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (log1p.f64 (.f64 x 1/4))))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (log1p.f64 (.f64 x 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(fma.f64 (*.f64 x 1/4) (sqrt.f64 2) (sqrt.f64 2))
(fma.f64 1 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 1 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) (*.f64 x 1/4) (sqrt.f64 2))
(fma.f64 (sqrt.f64 2) 1 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (sqrt.f64 2) 1 (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 2) (pow.f64 2 1/6) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (cbrt.f64 2) (pow.f64 2 1/6) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 (.f64 x 1/4) (sqrt.f64 2)))

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1566×	`log-prod`
912×	`associate-r`
852×	`associate-l`
438×	`fma-def`
430×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	128	1632
1	279	1593
2	679	1585
3	4256	1585
4	7330	1581

Stop Event

1×	node limit

Counts

59 → 73

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(+.f64 0 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (sqrt.f64 2))
(+.f64 (.f64 (.f64 x 1/4) (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1)
(/.f64 (.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 3) 1/64 1)) (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x 1/4)))
(/.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 2) 1/16 -1)) (fma.f64 x 1/4 -1))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (sqrt.f64 2)) (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x 1/4)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (sqrt.f64 2)) (fma.f64 x 1/4 -1))
(pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 2))
(exp.f64 (+.f64 (log1p.f64 (.f64 x 1/4)) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log1p.f64 (.f64 x 1/4)) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (log1p.f64 (.f64 x 1/4))))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (log1p.f64 (.f64 x 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(fma.f64 (*.f64 x 1/4) (sqrt.f64 2) (sqrt.f64 2))
(fma.f64 1 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 1 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) (*.f64 x 1/4) (sqrt.f64 2))
(fma.f64 (sqrt.f64 2) 1 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (sqrt.f64 2) 1 (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 2) (pow.f64 2 1/6) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (cbrt.f64 2) (pow.f64 2 1/6) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 (.f64 x 1/4) (sqrt.f64 2)))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 x (.f64 (sqrt.f64 2) 1/4))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 x (.f64 (sqrt.f64 2) 1/4))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 0 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (.f64 (.f64 x 1/4) (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1)
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(/.f64 (.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 3) 1/64 1)) (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x 1/4)))
(/.f64 (sqrt.f64 2) (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (*.f64 1/4 x)) (fma.f64 (pow.f64 x 3) 1/64 1)))
(.f64 (/.f64 (sqrt.f64 2) (+.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x -1/4))) (fma.f64 (pow.f64 x 3) 1/64 1))
(*.f64 (sqrt.f64 2) (/.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (fma.f64 x -1/4 (fma.f64 (pow.f64 x 2) 1/16 1))))
(.f64 (sqrt.f64 2) (/.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (+.f64 1 (.f64 x (fma.f64 x 1/16 -1/4)))))
(/.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 2) 1/16 -1)) (fma.f64 x 1/4 -1))
(/.f64 (sqrt.f64 2) (/.f64 (fma.f64 x 1/4 -1) (fma.f64 (pow.f64 x 2) 1/16 -1)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (/.f64 (fma.f64 1/4 x -1) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (fma.f64 1/4 x -1)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (/.f64 (sqrt.f64 2) (fma.f64 1/4 x -1)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (sqrt.f64 2)) (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x 1/4)))
(/.f64 (sqrt.f64 2) (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (*.f64 1/4 x)) (fma.f64 (pow.f64 x 3) 1/64 1)))
(.f64 (/.f64 (sqrt.f64 2) (+.f64 (fma.f64 (pow.f64 x 2) 1/16 1) (.f64 x -1/4))) (fma.f64 (pow.f64 x 3) 1/64 1))
(*.f64 (sqrt.f64 2) (/.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (fma.f64 x -1/4 (fma.f64 (pow.f64 x 2) 1/16 1))))
(.f64 (sqrt.f64 2) (/.f64 (fma.f64 (pow.f64 x 3) 1/64 1) (+.f64 1 (.f64 x (fma.f64 x 1/16 -1/4)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (sqrt.f64 2)) (fma.f64 x 1/4 -1))
(/.f64 (sqrt.f64 2) (/.f64 (fma.f64 x 1/4 -1) (fma.f64 (pow.f64 x 2) 1/16 -1)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (/.f64 (fma.f64 1/4 x -1) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (/.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (fma.f64 1/4 x -1)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/16 -1) (/.f64 (sqrt.f64 2) (fma.f64 1/4 x -1)))
(pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 3)
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)) 1/2)
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3) 1/3)
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 2)
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 2) (log1p.f64 (.f64 1/4 x)))) 2)) (cbrt.f64 (fma.f64 1/2 (log.f64 2) (log1p.f64 (.f64 1/4 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 2) (log1p.f64 (.f64 1/4 x))))) (sqrt.f64 (fma.f64 1/2 (log.f64 2) (log1p.f64 (.f64 1/4 x)))))
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1) 1))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 3))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 2))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (+.f64 (log1p.f64 (.f64 x 1/4)) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (+.f64 (log1p.f64 (.f64 x 1/4)) (.f64 (log.f64 2) 1/2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (log1p.f64 (.f64 x 1/4))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (log1p.f64 (.f64 x 1/4))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (*.f64 x 1/4) (sqrt.f64 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 1 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 1 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (sqrt.f64 2) (*.f64 x 1/4) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (sqrt.f64 2) 1 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (sqrt.f64 2) 1 (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(fma.f64 (sqrt.f64 2) (.f64 1/4 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(fma.f64 (sqrt.f64 2) (.f64 1/4 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(fma.f64 (cbrt.f64 2) (pow.f64 2 1/6) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(fma.f64 (sqrt.f64 2) (.f64 1/4 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(fma.f64 (cbrt.f64 2) (pow.f64 2 1/6) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(fma.f64 (pow.f64 2 1/6) (cbrt.f64 2) (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(fma.f64 (sqrt.f64 2) (.f64 1/4 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))

eval24.0ms (0.7%)

Compiler: Compiled 933 to 832 computations (10.8% saved)

prune12.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	72	6	78

Accuracy

100.0%

Counts

78 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
▶	3.0%	(.f64 (sqrt.f64 2) (.f64 1/4 x))
✓	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.4%	(sqrt.f64 2)
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
✓	66.4%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
▶	3.0%	(.f64 (sqrt.f64 2) (.f64 1/4 x))
✓	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.4%	(sqrt.f64 2)
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 74 to 64 computations (13.5% saved)

localize31.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.3%	(.f64 (sqrt.f64 2) (.f64 1/4 x))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 1/4 x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (.f64 1/4 x))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 1/4 x))

rewrite48.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`unpow-prod-down`
460×	`log-prod`
456×	`cbrt-prod`
360×	`log1p-expm1-u`
360×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	90	20
2	1023	20

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 1/4 x))

Outputs
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 2) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (sqrt.f64 2) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (sqrt.f64 2) 1/4)))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 3)
(pow.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2)
(pow.f64 (E.f64) (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 2) 1/4)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 1/4 x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/64)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (*.f64 1/4 x)))) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1194×	`log-prod`
1180×	`associate-r`
804×	`associate-*r/`
798×	`associate-l`
700×	`unswap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	800
1	163	800
2	401	794
3	1313	794
4	4995	776

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 2) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (sqrt.f64 2) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (sqrt.f64 2) 1/4)))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 3)
(pow.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2)
(pow.f64 (E.f64) (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 2) 1/4)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 1/4 x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/64)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (*.f64 1/4 x)))) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))

Outputs
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/4 x)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 2) 1/4)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (sqrt.f64 2) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (sqrt.f64 2) 1/4)))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 1)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)) 1)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 3)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)) 1/2)
(sqrt.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)))
(sqrt.f64 (.f64 (.f64 x x) 1/8))
(sqrt.f64 (.f64 x (.f64 x 1/8)))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3) 1/64))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/32 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 1/32)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 1/64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (E.f64) (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 1/4 (.f64 x (sqrt.f64 2)))) 2))) (cbrt.f64 (log.f64 (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)))
(sqrt.f64 (.f64 (.f64 x x) 1/8))
(sqrt.f64 (.f64 x (.f64 x 1/8)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 2) 1/4)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3) 1/64))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/32 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 1/32)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 1/64))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 1/4 x)))) 3))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/64)) 1/3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3) 1/64))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/32 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 2) 1/32)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 1/64))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (*.f64 1/4 x)))) 2))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))

eval8.0ms (0.2%)

Compiler: Compiled 327 to 281 computations (14.1% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	31	6	37

Accuracy

100.0%

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	3.0%	(.f64 (sqrt.f64 2) (.f64 1/4 x))
✓	66.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.4%	(sqrt.f64 2)
✓	99.0%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 81 to 67 computations (17.3% saved)

regimes12.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(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:

5.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
2.0ms	(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 71 to 57 computations (19.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -44.0b remaining (-239.8%)

Threshold costs -44b (-239.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))

Outputs
(sqrt.f64 2)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
71.4%	1	`x`

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	15	23

Stop Event

1×	done
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)

soundness58.0ms (1.7%)

Rules

1350×	`associate-/l*`
1124×	`associate-r`
1040×	`associate-/r*`
904×	`associate-l`
680×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	50	97
2	80	97
3	159	97
4	377	76
5	1503	58

Stop Event

1×	node limit

Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess24.0ms (0.7%)

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

analyze125.0ms (3.7%)

sample1.9s (55.5%)

preprocess243.0ms (7.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.7%)

series1.0ms (0%)

rewrite105.0ms (3.1%)

simplify85.0ms (2.5%)

eval68.0ms (2%)

prune26.0ms (0.8%)

localize84.0ms (2.5%)

series43.0ms (1.3%)

rewrite65.0ms (1.9%)

simplify98.0ms (2.9%)

eval51.0ms (1.5%)

prune35.0ms (1%)

localize34.0ms (1%)

series1.0ms (0%)

rewrite56.0ms (1.6%)

simplify75.0ms (2.2%)

eval24.0ms (0.7%)

prune12.0ms (0.3%)

localize31.0ms (0.9%)

series1.0ms (0%)

rewrite48.0ms (1.4%)

simplify59.0ms (1.7%)

eval8.0ms (0.2%)

prune7.0ms (0.2%)

regimes12.0ms (0.4%)

regimes5.0ms (0.1%)

simplify2.0ms (0.1%)

soundness58.0ms (1.7%)

end0.0ms (0%)

preprocess24.0ms (0.7%)

Profiling