Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze184.0ms (1.3%)

Memory

-35.2MiB live, 198.1MiB allocated; 81ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.4%	74.6%	0%	0%	0%	0
0%	0%	25.4%	74.6%	0%	0%	0%	1
0%	0%	25.4%	74.6%	0%	0%	0%	2
0%	0%	25.4%	74.6%	0%	0%	0%	3
0%	0%	22.2%	74.6%	0%	3.2%	0%	4
0%	0%	20.6%	74.6%	0%	4.8%	0%	5
0%	0%	18.3%	74.6%	0%	7.1%	0%	6
0%	0%	10.7%	74.6%	0%	14.7%	0%	7
0%	0%	9.3%	74.6%	0%	16.1%	0%	8
0%	0%	8.2%	74.6%	0%	17.2%	0%	9
0%	0%	5.7%	74.6%	0%	19.7%	0%	10
0%	0%	5%	74.6%	0%	20.4%	0%	11
0%	0%	4.4%	74.6%	0%	21%	0%	12

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample11.9s (84.4%)

Memory

70.3MiB live, 10 218.9MiB allocated; 3.7s collecting garbage

Samples

7.8s	62 521×	0	invalid
918.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 6.1s

ival-mult!: 2.8s (46.1% of total)

ival-expm1: 1.4s (23% of total)

ival-fabs: 615.0ms (10% of total)

ival-div!: 381.0ms (6.2% of total)

ival-<=: 351.0ms (5.7% of total)

ival-add!: 273.0ms (4.5% of total)

ival-and: 168.0ms (2.7% of total)

ival-fmin: 69.0ms (1.1% of total)

ival-assert: 23.0ms (0.4% of total)

adjust: 13.0ms (0.2% of total)

Bogosity

preprocess83.0ms (0.6%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	257
1	401	250
2	1477	248
3	8442	248

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

0.0%

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Symmetry

(sort a b)

Compiler

Compiled 48 to 34 computations (29.2% saved)

series201.0ms (1.4%)

Memory

16.0MiB live, 107.3MiB allocated; 12ms collecting garbage

Counts

17 → 110

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 eps (expm1.f64 (.f64 b eps))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (.f64 eps (expm1.f64 (.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (.f64 eps (expm1.f64 (.f64 b eps)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 b eps)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (.f64 eps (exp.f64 (.f64 b eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))))) (.f64 eps (exp.f64 (.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 b eps)))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (.f64 eps (exp.f64 (.f64 b eps))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (.f64 eps (exp.f64 (*.f64 b eps)))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))))) (.f64 eps (exp.f64 (.f64 b eps)))))))
#s(approx (* (+ a b) eps) (*.f64 b eps))
#s(approx (* (+ a b) eps) (fma.f64 a eps (*.f64 b eps)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps)))) (.f64 eps (expm1.f64 (.f64 b eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))))) (.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 b eps))))))) (.f64 eps (expm1.f64 (.f64 b eps))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a eps))
#s(approx (- (exp (* a eps)) 1) (.f64 a (+.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* a eps)) 1) (.f64 a (+.f64 eps (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* a eps)) 1) (.f64 a (+.f64 eps (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (exp (* a eps)) #s(literal 1 binary64))
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a eps)))
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 eps (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 eps (+.f64 a b))))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (+.f64 a b))))
#s(approx (* (+ a b) eps) (.f64 a (+.f64 eps (/.f64 (.f64 b eps) a))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps)))
#s(approx (exp (* a eps)) (exp.f64 (*.f64 a eps)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))))
#s(approx (* (+ a b) eps) (.f64 #s(literal -1 binary64) (.f64 a (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1 binary64) (/.f64 (.f64 b eps) a))))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 eps (expm1.f64 (.f64 a eps))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (.f64 eps (expm1.f64 (.f64 a eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (.f64 a eps)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (.f64 eps (exp.f64 (.f64 a eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))))) (.f64 eps (exp.f64 (.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (.f64 eps (exp.f64 (.f64 a eps))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (.f64 eps (exp.f64 (*.f64 a eps)))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))))) (.f64 eps (exp.f64 (.f64 a eps)))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (.f64 a eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))))) (.f64 eps (expm1.f64 (*.f64 a eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 b (fma.f64 #s(literal 1/24 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps))))))) (.f64 eps (expm1.f64 (.f64 a eps))))))
#s(approx (- (exp (* b eps)) 1) (.f64 b (+.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* b eps)) 1) (.f64 b (+.f64 eps (.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* b eps)) 1) (.f64 b (+.f64 eps (.f64 b (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 b (fma.f64 #s(literal 1/24 binary64) (.f64 b (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b eps)))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 eps (.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* (+ a b) eps) (.f64 b (+.f64 eps (/.f64 (.f64 a eps) b))))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (+ a b) eps) (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1 binary64) (/.f64 (.f64 a eps) b))))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b))))) (.f64 a b))))))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a b)))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64)))))))))))
#s(approx eps eps)
#s(approx (- (exp (* (+ a b) eps)) 1) (*.f64 eps (+.f64 a b)))
#s(approx (- (exp (* (+ a b) eps)) 1) (.f64 eps (+.f64 a (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (.f64 eps (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (.f64 eps (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64)))))))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 a b))))
#s(approx (exp (* (+ a b) eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 a (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (.f64 b (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64))))))))))))))))))
#s(approx (- (exp (* a eps)) 1) (.f64 eps (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)))))
#s(approx (- (exp (* a eps)) 1) (.f64 eps (+.f64 a (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) eps) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a eps)) 1) (.f64 eps (+.f64 a (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) eps) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps))))))
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 a (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) eps) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (exp (* b eps)) 1) (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps)))))
#s(approx (- (exp (* b eps)) 1) (.f64 eps (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) eps) (.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (exp (* b eps)) 1) (.f64 eps (+.f64 b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) eps) (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 3 binary64))))))))))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps))))))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) eps) (.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))))))

Calls

9 calls:

Time	Variable	Point
10.0ms	eps	-inf
5.0ms	eps	inf
4.0ms	eps	0
3.0ms	b	0
3.0ms	a	inf

rewrite282.0ms (2%)

Memory

-19.4MiB live, 162.6MiB allocated; 35ms collecting garbage

Counts

17 → 333

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))) eps)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (neg.f64 eps)))
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(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 b eps))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 b eps))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 b eps))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 b eps))))
(fabs.f64 (exp.f64 (*.f64 b eps)))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 b eps))))
(+.f64 (cosh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps)))
(+.f64 (sinh.f64 (.f64 b eps)) (cosh.f64 (.f64 b eps)))
(+.f64 (cosh.f64 (.f64 b eps)) (neg.f64 (sinh.f64 (neg.f64 (.f64 b eps)))))
(-.f64 (cosh.f64 (.f64 b eps)) (sinh.f64 (neg.f64 (.f64 b eps))))
(-.f64 (sinh.f64 (.f64 b eps)) (neg.f64 (cosh.f64 (.f64 b eps))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 b eps)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 b eps)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (sinh.f64 (.f64 b eps)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (.f64 b eps)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 b eps))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 b eps))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 b eps))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 b eps))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64))
(exp.f64 (*.f64 b eps))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 b eps))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 b eps)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 b eps))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 b eps)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 b eps))) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 (*.f64 b eps)))))
(neg.f64 (neg.f64 (exp.f64 (*.f64 b eps))))
(pow.f64 (exp.f64 b) eps)
(pow.f64 (exp.f64 eps) b)
(pow.f64 (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))
(*.f64 b eps)
(*.f64 eps b)

eval60.0ms (0.4%)

Memory: -6.0MiB live, 37.8MiB allocated; 39ms collecting garbage
Compiler: Compiled 14 355 to 1 931 computations (86.5% saved)

prune7.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	423	6	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	424	6	430

Accuracy

98.6%

Counts

430 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.2%	(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps)))
▶	11.9%	(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
▶	63.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
	46.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
▶	50.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	50.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 340 to 234 computations (31.2% saved)

series306.0ms (2.2%)

Memory

25.4MiB live, 203.0MiB allocated; 82ms collecting garbage

Counts

24 → 108

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 a b)
a
b
(*.f64 a b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
eps
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(/.f64 eps (expm1.f64 (*.f64 b eps)))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (* a b) (*.f64 a b))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 a (expm1.f64 (.f64 b eps)))))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a eps) (expm1.f64 (.f64 b eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) a))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 a (-.f64 (.f64 #s(literal -1 binary64) (.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))))))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (expm1.f64 (.f64 b eps))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps)))) a))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 a (-.f64 (.f64 a (-.f64 (.f64 #s(literal -1 binary64) (.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps)))))) (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 b eps)))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))))))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (expm1.f64 (.f64 b eps))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps)))) a))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps)))) (.f64 eps (expm1.f64 (.f64 b eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))))) (.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 b eps))))))) (.f64 eps (expm1.f64 (.f64 b eps))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a eps))
#s(approx (- (exp (* a eps)) 1) (.f64 a (+.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* a eps)) 1) (.f64 a (+.f64 eps (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* a eps)) 1) (.f64 a (+.f64 eps (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 b eps)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (.f64 eps (exp.f64 (.f64 b eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))))) (.f64 eps (exp.f64 (.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (* (+ a b) eps) (*.f64 b eps))
#s(approx (* (+ a b) eps) (fma.f64 a eps (*.f64 b eps)))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) eps)
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (+.f64 eps (/.f64 (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps)))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (+.f64 eps (.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (+.f64 eps (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))))) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (+ a b) (* a b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps)))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 eps (+.f64 a b))))
#s(approx (* (+ a b) eps) (.f64 a (+.f64 eps (/.f64 (.f64 b eps) a))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 b eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))))
#s(approx (* (+ a b) eps) (.f64 #s(literal -1 binary64) (.f64 a (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1 binary64) (/.f64 (.f64 b eps) a))))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (expm1.f64 (.f64 b eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 b (expm1.f64 (.f64 a eps)))))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b eps) (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps)))) b))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 b (-.f64 (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))))))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (expm1.f64 (.f64 a eps))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps)))) b))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 b (-.f64 (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps)))))) (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps)))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))))))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (expm1.f64 (.f64 a eps))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps)))) b))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps)))) (.f64 eps (expm1.f64 (.f64 a eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))))) (.f64 eps (expm1.f64 (*.f64 a eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 b (fma.f64 #s(literal 1/24 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps))))))) (.f64 eps (expm1.f64 (.f64 a eps))))))
#s(approx (- (exp (* b eps)) 1) (.f64 b (+.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* b eps)) 1) (.f64 b (+.f64 eps (.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* b eps)) 1) (.f64 b (+.f64 eps (.f64 b (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 b (fma.f64 #s(literal 1/24 binary64) (.f64 b (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (.f64 eps (exp.f64 (.f64 a eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))))) (.f64 eps (exp.f64 (.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (expm1.f64 (*.f64 a eps)) b))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (-.f64 (.f64 eps (exp.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (*.f64 a eps))))))) #s(literal 1 binary64)) b))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (.f64 a eps))))))))) (.f64 eps (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (*.f64 a eps))))))) #s(literal 1 binary64)) b))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (.f64 a eps))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 eps (exp.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (.f64 a eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (.f64 a eps)))))))))))))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (.f64 a eps))))))))) (.f64 eps (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (expm1.f64 (.f64 a eps))))))) #s(literal 1 binary64)) b))
#s(approx (/ eps (- (exp (* b eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 b eps))) b))
#s(approx (/ eps (- (exp (* b eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ eps (- (exp (* b eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (* (+ a b) eps) (.f64 b (+.f64 eps (/.f64 (.f64 a eps) b))))
#s(approx (/ eps (- (exp (* b eps)) 1)) (/.f64 eps (expm1.f64 (*.f64 b eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (+ a b) eps) (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1 binary64) (/.f64 (.f64 a eps) b))))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (expm1.f64 (.f64 b eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b))))) (.f64 a b))))))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b eps))))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) eps))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (/.f64 a b) (.f64 #s(literal 1/6 binary64) (/.f64 b a))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) eps))
#s(approx (/ eps (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (/.f64 a b) (.f64 #s(literal 1/6 binary64) (/.f64 b a))))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 a b)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (.f64 a b)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a) (fma.f64 #s(literal 1/12 binary64) a (.f64 #s(literal 1/12 binary64) b)))))))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (/.f64 a b) (.f64 #s(literal 1/6 binary64) (/.f64 b a))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))) (/.f64 #s(literal 1 binary64) (.f64 a b))) eps))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 a (.f64 b (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64))))))))))))))))))
#s(approx (- (exp (* a eps)) 1) (.f64 eps (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)))))
#s(approx (- (exp (* a eps)) 1) (.f64 eps (+.f64 a (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) eps) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a eps)) 1) (.f64 eps (+.f64 a (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) eps) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (- (exp (* b eps)) 1) (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps)))))
#s(approx (- (exp (* b eps)) 1) (.f64 eps (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) eps) (.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (exp (* b eps)) 1) (.f64 eps (+.f64 b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) eps) (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 3 binary64))))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (*.f64 eps (+.f64 a b)))
#s(approx (- (exp (* (+ a b) eps)) 1) (.f64 eps (+.f64 a (+.f64 b (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (.f64 eps (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (.f64 eps (+.f64 a (+.f64 b (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 (+.f64 a b) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64)))))))))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (/.f64 (*.f64 eps (+.f64 a b)) b))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 a b)))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (.f64 b (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 a b)))))
#s(approx (* (/ eps (- (exp (* b eps)) 1)) (- (exp (* (+ a b) eps)) 1)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (.f64 b (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))))))) (fma.f64 #s(literal 1/6 binary64) (.f64 b (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 a b)))))
#s(approx (/ eps (- (exp (* b eps)) 1)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ eps (- (exp (* b eps)) 1)) (fma.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/6 binary64) b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ eps (- (exp (* b eps)) 1)) (fma.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 b (fma.f64 #s(literal -1/4 binary64) b (.f64 #s(literal 1/6 binary64) b))) (fma.f64 #s(literal -1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/6 binary64) b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)))

Calls

9 calls:

Time	Variable	Point
28.0ms	eps	-inf
4.0ms	b	-inf
4.0ms	eps	0
3.0ms	a	inf
3.0ms	a	-inf

rewrite136.0ms (1%)

Memory

3.2MiB live, 92.0MiB allocated; 19ms collecting garbage

Counts

24 → 69

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 a b)
a
b
(*.f64 a b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
eps
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(/.f64 eps (expm1.f64 (*.f64 b eps)))

Outputs
#s(approx (* (/ (/ eps (+ (exp (* a eps)) -1)) (+ (exp (* b eps)) -1)) (+ (pow (exp (+ a b)) eps) -1)) (/.f64 (+.f64 a b) (*.f64 a b)))
(.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(+.f64 (/.f64 a (.f64 a b)) (/.f64 b (.f64 a b)))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (neg.f64 (+.f64 a b)) (neg.f64 (*.f64 a b)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 a b)
(+.f64 b a)
(-.f64 a (neg.f64 b))
a
b
(*.f64 a b)
(*.f64 b a)
#s(approx (* (/ (/ eps (+ (exp (* a eps)) -1)) (+ (exp (* b eps)) -1)) (+ (pow (exp (+ a b)) eps) -1)) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(pow.f64 a #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
#s(approx (* (/ (/ eps (+ (exp (* a eps)) -1)) (+ (exp (* b eps)) -1)) (+ (pow (exp (+ a b)) eps) -1)) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(pow.f64 b #s(literal -1 binary64))
(.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps)) (neg.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 eps (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(/.f64 (neg.f64 eps) (neg.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
eps
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(+.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a eps))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))
(*.f64 a eps)
(*.f64 eps a)
(+.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 b eps))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))
(*.f64 b eps)
(*.f64 eps b)
(+.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal -1 binary64))
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a b) eps))))
(*.f64 (+.f64 a b) eps)
(*.f64 eps (+.f64 a b))
(.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps)))
(/.f64 (neg.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps)))) (neg.f64 (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) eps) (expm1.f64 (*.f64 b eps)))
(.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (*.f64 b eps))))

eval27.0ms (0.2%)

Memory: -6.8MiB live, 36.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 9 101 to 1 186 computations (87% saved)

prune4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	222	4	226

Accuracy

100.0%

Counts

226 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	50.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))

Compiler

Compiled 128 to 86 computations (32.8% saved)

series172.0ms (1.2%)

Memory

-21.9MiB live, 85.4MiB allocated; 78ms collecting garbage

Counts

8 → 25

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(/.f64 a b)
a
b

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (+ 1 (/ a b)) #s(literal 1 binary64))
#s(approx (+ 1 (/ a b)) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ a b) (/.f64 a b))
#s(approx a a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (+ a b) (* a b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (+ 1 (/ a b)) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (+ 1 (/ a b)) (/.f64 (+.f64 a b) b))
#s(approx b b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b))))) (.f64 a b))))))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))

Calls

9 calls:

Time	Variable	Point
2.0ms	a	-inf
2.0ms	b	-inf
2.0ms	a	inf
1.0ms	b	inf
1.0ms	a	0

rewrite308.0ms (2.2%)

Memory

39.6MiB live, 217.5MiB allocated; 53ms collecting garbage

Counts

8 → 332

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(/.f64 a b)
a
b

Outputs
#s(approx (* (/ eps (+ -1 (exp (* a eps)))) (/ (- 1 (pow (exp (+ b a)) eps)) (- 1 (exp (* b eps))))) #s(approx (/ (+ b a) (* a b)) (/.f64 (+.f64 b a) (*.f64 b a))))
#s(approx (/ (+ b a) (* a b)) (/.f64 (+.f64 b a) (*.f64 b a)))
(.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) (.f64 b a)))
(.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(*.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
(.f64 (fma.f64 (/.f64 a b) b b) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
(.f64 (fma.f64 (/.f64 a b) a a) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 b a)) (-.f64 (neg.f64 b) a))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 b a)))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 (.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 b b))))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 (.f64 (.f64 a a) b) (.f64 (.f64 a a) (.f64 b b))) (/.f64 (.f64 (.f64 b a) b) (.f64 (.f64 a a) (.f64 b b))))
(+.f64 (/.f64 (/.f64 (.f64 b a) b) (.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 a (.f64 a a)) (/.f64 (/.f64 (.f64 a a) b) (*.f64 a a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(-.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(/.f64 (.f64 (.f64 b a) (+.f64 b a)) (.f64 (.f64 a a) (*.f64 b b)))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (.f64 (+.f64 b a) #s(literal -1 binary64)) (neg.f64 (.f64 b a)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 b a)) (neg.f64 (.f64 b a)))
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 (*.f64 b a)))
(/.f64 (fma.f64 a a (.f64 b a)) (.f64 (*.f64 a a) b))
(/.f64 (fma.f64 b a (.f64 a a)) (.f64 (*.f64 a a) b))
(/.f64 (fma.f64 b a (.f64 b b)) (.f64 (*.f64 b a) b))
(/.f64 (fma.f64 b b (.f64 b a)) (.f64 (*.f64 b a) b))
(/.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 a b) a a) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 a b) b b) (*.f64 b a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b a) a) (.f64 b a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64)) b)
(/.f64 (fma.f64 (/.f64 b a) (.f64 b a) (.f64 b a)) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) b (/.f64 b a)) b)
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (.f64 #s(literal -1 binary64) a)) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (/.f64 a b) (.f64 b a) (.f64 b a)) (.f64 (.f64 a a) b))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (neg.f64 b)) (neg.f64 (*.f64 b a)))
(/.f64 (.f64 (-.f64 (neg.f64 b) a) #s(literal -1 binary64)) (.f64 b a))
(/.f64 (.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)) (neg.f64 (.f64 b a)))
(/.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b)
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (neg.f64 b) a)) (.f64 b a))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) a)) (neg.f64 (.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b) a)) (neg.f64 b))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 a (neg.f64 a))) (.f64 a (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (neg.f64 a) a)) (.f64 a (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 b (neg.f64 b))) (.f64 b (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (neg.f64 b) b)) (.f64 b (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (neg.f64 b) b (neg.f64 (.f64 b a))) (.f64 (neg.f64 (*.f64 b a)) b))
(/.f64 (fma.f64 (/.f64 a b) b (.f64 a (/.f64 b a))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 a b) b (.f64 (/.f64 b a) a)) (.f64 b a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a) (neg.f64 (/.f64 a b))) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 b a) a (.f64 b (/.f64 a b))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 b a) a (/.f64 (.f64 b a) b)) (.f64 b a))
(/.f64 (fma.f64 (neg.f64 a) a (neg.f64 (.f64 b a))) (.f64 (neg.f64 (*.f64 b a)) a))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 b a) (.f64 (neg.f64 a) a)) (.f64 (neg.f64 a) (.f64 b a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 b a) (.f64 a (neg.f64 a))) (.f64 (neg.f64 a) (.f64 b a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (/.f64 (.f64 a a) b)) (.f64 a a))
(/.f64 (fma.f64 a (neg.f64 a) (.f64 (.f64 b a) #s(literal -1 binary64))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 a (neg.f64 a) (.f64 #s(literal -1 binary64) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (+.f64 b (.f64 b (/.f64 b a))) (.f64 b b))
(/.f64 (+.f64 b (.f64 (/.f64 b a) b)) (.f64 b b))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 (.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (.f64 #s(literal 1 binary64) (neg.f64 a))) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 #s(literal -1 binary64) a (.f64 (neg.f64 a) (/.f64 a b))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 #s(literal -1 binary64) a (.f64 (/.f64 a b) (neg.f64 a))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 b a (.f64 (.f64 b a) (/.f64 a b))) (.f64 (.f64 a a) b))
(/.f64 (fma.f64 b a (.f64 (.f64 b a) (/.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 b a (.f64 (/.f64 b a) (.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 b a (.f64 (/.f64 a b) (.f64 b a))) (.f64 (.f64 a a) b))
(/.f64 (-.f64 (.f64 (.f64 a a) b) (.f64 (.f64 b a) (neg.f64 b))) (.f64 (.f64 a a) (*.f64 b b)))
(/.f64 (-.f64 (.f64 (/.f64 a b) (.f64 b a)) (neg.f64 (.f64 b a))) (.f64 (*.f64 a a) b))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) a) (/.f64 (.f64 a a) b)) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (.f64 b a) (.f64 b (neg.f64 b))) (.f64 (.f64 b a) b))
(/.f64 (/.f64 (.f64 (.f64 b a) (+.f64 b a)) (.f64 b a)) (.f64 b a))
(/.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) b)
(/.f64 (/.f64 (fma.f64 (/.f64 a b) a a) a) a)
(/.f64 (/.f64 (fma.f64 (/.f64 a b) b b) a) b)
(/.f64 (/.f64 (fma.f64 (/.f64 a b) b b) b) a)
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) a (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) a (.f64 #s(literal 1 binary64) (neg.f64 a))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (neg.f64 (.f64 b a)) (.f64 b a)) (.f64 (neg.f64 a) (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (.f64 b a) (neg.f64 (.f64 b a))) (.f64 (neg.f64 a) (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) b (.f64 (neg.f64 a) (/.f64 b a))) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) b (.f64 (/.f64 b a) (neg.f64 a))) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (neg.f64 a) (.f64 (neg.f64 a) #s(literal -1 binary64))) (.f64 a a))
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (neg.f64 a) (.f64 #s(literal -1 binary64) (neg.f64 a))) (.f64 a a))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 b a)) (.f64 a a)) (.f64 (neg.f64 a) (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 a (neg.f64 (.f64 b a)) (.f64 (.f64 b a) (neg.f64 b))) (.f64 (.f64 b a) (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 a (neg.f64 (.f64 b a)) (.f64 (neg.f64 b) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 b (neg.f64 (.f64 b a)) (.f64 (.f64 b a) (neg.f64 a))) (.f64 (.f64 b a) (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 b (neg.f64 (.f64 b a)) (.f64 (neg.f64 a) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (.f64 b a)) (neg.f64 a)) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 (.f64 b a)) (neg.f64 (.f64 b a))) (.f64 b (neg.f64 (.f64 b a))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (.f64 b a)) (neg.f64 b)) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 (.f64 b a)) (neg.f64 (.f64 b a))) (.f64 a (neg.f64 (.f64 b a))))
(/.f64 (neg.f64 (.f64 (.f64 b a) (+.f64 b a))) (neg.f64 (.f64 (.f64 a a) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) a a)) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) b b)) (neg.f64 (*.f64 b a)))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (.f64 b a)) (.f64 (neg.f64 (.f64 b a)) (neg.f64 a))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (.f64 b a)) (.f64 (neg.f64 a) (neg.f64 (.f64 b a)))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 (neg.f64 a) (neg.f64 (.f64 b a)) (.f64 (neg.f64 (.f64 b a)) (neg.f64 b))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 (neg.f64 a) (neg.f64 (.f64 b a)) (.f64 (neg.f64 b) (neg.f64 (.f64 b a)))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 a a (.f64 (neg.f64 (.f64 b a)) #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 b a)) (neg.f64 a)))
(/.f64 (fma.f64 a a (.f64 #s(literal -1 binary64) (neg.f64 (.f64 b a)))) (.f64 (neg.f64 (.f64 b a)) (neg.f64 a)))
(/.f64 (fma.f64 b a (.f64 (neg.f64 (.f64 b a)) (neg.f64 (/.f64 a b)))) (.f64 (neg.f64 (.f64 b a)) (neg.f64 a)))
(/.f64 (fma.f64 b a (.f64 (neg.f64 (/.f64 a b)) (neg.f64 (.f64 b a)))) (.f64 (neg.f64 (.f64 b a)) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (.f64 b a) (neg.f64 (/.f64 a b)))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (neg.f64 (.f64 b a)) (/.f64 a b))) (.f64 (neg.f64 (.f64 b a)) a))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (neg.f64 (.f64 b a)) (/.f64 b a))) (.f64 (neg.f64 (.f64 b a)) b))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (/.f64 b a) (neg.f64 (.f64 b a)))) (.f64 (neg.f64 (.f64 b a)) b))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (neg.f64 (/.f64 a b)) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (/.f64 a b) (neg.f64 (.f64 b a)))) (.f64 (neg.f64 (.f64 b a)) a))
(/.f64 (fma.f64 (neg.f64 b) (.f64 b a) (.f64 (neg.f64 (.f64 b a)) a)) (.f64 (neg.f64 (.f64 b a)) (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 b a) (.f64 a (neg.f64 (.f64 b a)))) (.f64 (neg.f64 (.f64 b a)) (.f64 b a)))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 a) (.f64 b (neg.f64 (/.f64 a b)))) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 a) (.f64 (neg.f64 (/.f64 a b)) b)) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 a) (.f64 b a) (.f64 (neg.f64 (.f64 b a)) b)) (.f64 (neg.f64 (.f64 b a)) (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 a) (.f64 b a) (.f64 b (neg.f64 (.f64 b a)))) (.f64 (neg.f64 (.f64 b a)) (.f64 b a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (neg.f64 (/.f64 a b)) (neg.f64 a))) (.f64 a a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 a (neg.f64 (/.f64 a b)))) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 (neg.f64 (/.f64 a b)) a)) (.f64 a (neg.f64 a)))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 a b)) (.f64 b a)) (.f64 b a)) (.f64 (neg.f64 a) (*.f64 b a)))
(/.f64 (-.f64 (.f64 (neg.f64 a) (.f64 b a)) (.f64 (neg.f64 (.f64 b a)) (neg.f64 b))) (.f64 (neg.f64 (.f64 b a)) (*.f64 b a)))
(/.f64 (-.f64 a (.f64 a (neg.f64 (/.f64 a b)))) (.f64 a a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (neg.f64 (/.f64 a b)) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) b (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) a (/.f64 #s(literal 1 binary64) a))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (-.f64 (neg.f64 b) a)))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(.f64 a (/.f64 (+.f64 b a) (.f64 b a)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(+.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(+.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))
(-.f64 (/.f64 a b) (/.f64 (neg.f64 b) b))
(/.f64 (+.f64 b a) b)
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 b a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 b))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 #s(literal 2 binary64) b)) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 b b (.f64 b a)) (.f64 b b))
(/.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) b)
(/.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64)) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 (neg.f64 b) #s(literal 2 binary64))) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 b))) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (.f64 #s(literal 2 binary64) (neg.f64 a))) (.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 b (neg.f64 b) (neg.f64 (.f64 b a))) (.f64 b (neg.f64 b)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) (neg.f64 a))) (*.f64 #s(literal 2 binary64) b))
(fma.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 a b))
(fma.f64 (/.f64 #s(literal 1 binary64) a) a (/.f64 a b))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) (/.f64 a b))
(fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 a b) #s(literal 1 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) (/.f64 a b))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (/.f64 a b))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (/.f64 a b))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (/.f64 a b))
(fma.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64))
(fma.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 a (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) a (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 a (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) a (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) b) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 a (/.f64 (+.f64 b a) (.f64 b a)) (.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 a (/.f64 (+.f64 b a) (.f64 b a)) (.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 a (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a b))))
(fma.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(neg.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) a) a)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)))
(*.f64 a (/.f64 #s(literal 1 binary64) a))
(*.f64 b (/.f64 #s(literal 1 binary64) b))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 a a)
(/.f64 b b)
(/.f64 (neg.f64 b) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) a) (neg.f64 a))
(/.f64 (/.f64 b #s(literal 1 binary64)) b)
(/.f64 (neg.f64 a) (neg.f64 a))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) a #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 a #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(/.f64 a b)
(/.f64 (*.f64 a #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) a) (neg.f64 b))
(/.f64 (/.f64 a #s(literal 1 binary64)) b)
(/.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 b))
(neg.f64 (neg.f64 (/.f64 a b)))
a
(*.f64 a #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) a)
(+.f64 a (*.f64 #s(literal 0 binary64) a))
(+.f64 a (*.f64 a #s(literal 0 binary64)))
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))
(fma.f64 a #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 0 binary64) a))
(fma.f64 #s(literal 1 binary64) a (*.f64 a #s(literal 0 binary64)))
(neg.f64 (*.f64 a #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) a))
(neg.f64 (neg.f64 a))
b
(*.f64 b #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) b)
(+.f64 b (*.f64 #s(literal 0 binary64) b))
(+.f64 b (*.f64 b #s(literal 0 binary64)))
(/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64))
(fma.f64 b #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 #s(literal 0 binary64) b))
(fma.f64 #s(literal 1 binary64) b (*.f64 b #s(literal 0 binary64)))
(neg.f64 (neg.f64 b))

eval38.0ms (0.3%)

Memory: 13.7MiB live, 57.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 16 676 to 1 732 computations (89.6% saved)

prune11.0ms (0.1%)

Memory

-31.4MiB live, 13.5MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	348	1	349
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	349	4	353

Accuracy

100.0%

Counts

353 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	50.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))

Compiler

Compiled 128 to 86 computations (32.8% saved)

series125.0ms (0.9%)

Memory

30.0MiB live, 78.4MiB allocated; 29ms collecting garbage

Counts

8 → 25

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))
#s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 a b)
a
b
#s(literal -1 binary64)

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (- (/ a b) -1) #s(literal 1 binary64))
#s(approx (- (/ a b) -1) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ a b) (/.f64 a b))
#s(approx a a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (+ a b) (* a b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (- (/ a b) -1) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (- (/ a b) -1) (/.f64 (+.f64 a b) b))
#s(approx b b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b)) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b))))) (.f64 a b))))))) (+.f64 (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))

Calls

9 calls:

Time	Variable	Point
2.0ms	a	-inf
1.0ms	b	-inf
1.0ms	a	inf
1.0ms	b	inf
1.0ms	a	0

rewrite143.0ms (1%)

Memory

-6.3MiB live, 131.4MiB allocated; 25ms collecting garbage

Counts

8 → 17

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))
#s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 a b)
a
b
#s(literal -1 binary64)

Outputs
#s(approx (* (/ eps (+ (exp (* a eps)) -1)) (/ (+ (pow (exp (+ a b)) eps) -1) (+ (exp (* b eps)) -1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))
#s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(-.f64 (/.f64 (/.f64 a b) a) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(/.f64 (neg.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64))) (neg.f64 a))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(/.f64 a b)
(/.f64 (neg.f64 a) (neg.f64 b))
a
b
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))

eval5.0ms (0%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 316 to 311 computations (86.6% saved)

prune2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	33	4	37

Accuracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	50.0%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))

Compiler

Compiled 128 to 86 computations (32.8% saved)

regimes30.0ms (0.2%)

Memory

-1.8MiB live, 51.4MiB allocated; 8ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 2

3 → 3

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Call 2

Inputs

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Outputs

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Call 3

Inputs

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))

Outputs

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))

#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Call 4

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (*.f64 (+.f64 a b) eps)))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))

Calls

13 calls:

9.0ms	b
3.0ms	eps
3.0ms	a
2.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
2.0ms	eps

Results

Accuracy	Segments	Branch
50.3%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
50.3%	1	`eps`
50.3%	1	`b`
50.3%	1	`a`
83.2%	2	`a`
63.6%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
85.1%	3	`a`
84.3%	3	`b`
75.8%	3	`eps`
99.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`

Compiler

Compiled 356 to 149 computations (58.1% saved)

bsearch24.0ms (0.2%)

Memory

-16.6MiB live, 30.8MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.662899534702495e-209	-5.145521871921845e-211
10.0ms	-2.733864782240065e-92	-8.737261092665567e-93

Samples

14.0ms

192×

valid

Compiler

Compiled 719 to 528 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-expm1: 4.0ms (41.8% of total)

ival-mult!: 4.0ms (41.8% of total)

ival-add!: 1.0ms (10.5% of total)

ival-div!: 1.0ms (10.5% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.662899534702495e-209	-5.145521871921845e-211

Compiler

Compiled 419 to 313 computations (25.3% saved)

derivations1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 224 to 40 computations (82.1% saved)

preprocess32.0ms (0.2%)

Memory: 6.1MiB live, 53.0MiB allocated; 3ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 703 to 268 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze184.0ms (1.3%)

sample11.9s (84.4%)

preprocess83.0ms (0.6%)

series201.0ms (1.4%)

rewrite282.0ms (2%)

eval60.0ms (0.4%)

prune7.0ms (0%)

series306.0ms (2.2%)

rewrite136.0ms (1%)

eval27.0ms (0.2%)

prune4.0ms (0%)

series172.0ms (1.2%)

rewrite308.0ms (2.2%)

eval38.0ms (0.3%)

prune11.0ms (0.1%)

series125.0ms (0.9%)

rewrite143.0ms (1%)

eval5.0ms (0%)

prune2.0ms (0%)

regimes30.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch1.0ms (0%)

derivations1.0ms (0%)

preprocess32.0ms (0.2%)

end0.0ms (0%)

Profiling