Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

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

analyze136.0ms (1%)

Memory

7.8MiB live, 202.3MiB allocated; 21ms 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)

sample12.3s (89.1%)

Memory

262.5MiB live, 12 622.3MiB allocated; 4.8s collecting garbage

Samples

7.8s	63 772×	0	invalid
1.4s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.0s

ival-mult!: 2.1s (35.3% of total)

ival-expm1: 1.3s (21.9% of total)

ival-<=: 983.0ms (16.3% of total)

ival-fabs: 581.0ms (9.7% of total)

ival-div!: 376.0ms (6.2% of total)

ival-add!: 344.0ms (5.7% of total)

ival-and: 143.0ms (2.4% of total)

ival-fmin: 111.0ms (1.8% of total)

ival-assert: 27.0ms (0.4% of total)

adjust: 15.0ms (0.2% of total)

Bogosity

preprocess39.0ms (0.3%)

Memory

-30.2MiB live, 28.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	257
1	401	250
2	1477	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)

series53.0ms (0.4%)

Memory

36.8MiB live, 80.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	596	3707

Stop Event

1×	iter-limit

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
9.0ms	eps	-inf
5.0ms	eps	inf
4.0ms	eps	0
3.0ms	b	0
3.0ms	a	inf

rewrite70.0ms (0.5%)

Memory

-26.2MiB live, 62.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	141	99
0	1346	81

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

17 → 265

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 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps)))) (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps)))) (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))))
(.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps))))
(.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))))
(.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 eps (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) eps))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 b eps)))
(/.f64 (.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 a eps)))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps)))) (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps))))) (exp.f64 (*.f64 b eps)))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps))))) (neg.f64 (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps)))) (expm1.f64 (.f64 b eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))))
(/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)))
(neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))))
(neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 a eps)))) (neg.f64 (expm1.f64 (.f64 b eps)))))
(neg.f64 (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(.f64 (.f64 eps (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps))))) (exp.f64 (.f64 (+.f64 b a) eps)))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)
(.f64 eps (expm1.f64 (.f64 (+.f64 b a) eps)))
(/.f64 (.f64 eps (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))
(/.f64 (.f64 eps (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))) eps) (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64))) eps) (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64)))))
(neg.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))))
(fma.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps (.f64 #s(literal -1 binary64) eps))
(fma.f64 eps (exp.f64 (.f64 (+.f64 b a) eps)) (.f64 eps #s(literal -1 binary64)))
(+.f64 (.f64 eps (exp.f64 (.f64 (+.f64 b a) eps))) (*.f64 eps #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (*.f64 #s(literal -1 binary64) eps))
eps
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (+.f64 b a) eps)))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (+.f64 b a) eps)))
(.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))))))
(.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 (+.f64 b a) eps)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64)))) (expm1.f64 (.f64 (*.f64 (+.f64 b a) eps) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (cosh.f64 (.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (cosh.f64 (.f64 (+.f64 b a) eps)) (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (sinh.f64 (*.f64 (+.f64 b a) eps))))
(fma.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 (+.f64 b a) eps))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (+.f64 b a) eps #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 b a))) eps))
(expm1.f64 (*.f64 (+.f64 b a) eps))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))
(+.f64 (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (cosh.f64 (.f64 (+.f64 b a) eps))) (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps)))) (sinh.f64 (.f64 (+.f64 b a) eps))))
(+.f64 (.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps))))) (.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 (+.f64 b a) eps))))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))
(+.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (+.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (cosh.f64 (.f64 (+.f64 b a) eps)))) (cosh.f64 (.f64 (+.f64 b a) eps)))
(*.f64 (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 b a) eps)))
(.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal 1 binary64))
(pow.f64 (exp.f64 eps) (+.f64 b a))
(pow.f64 (exp.f64 (+.f64 b a)) eps)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (cosh.f64 (.f64 (+.f64 b a) eps))) (.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (sinh.f64 (.f64 (+.f64 b a) eps)))) (-.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (sinh.f64 (.f64 (+.f64 b a) eps))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (cosh.f64 (.f64 (+.f64 b a) eps)) (-.f64 (.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (sinh.f64 (.f64 (+.f64 b a) eps))) (.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (sinh.f64 (.f64 (+.f64 b a) eps))))))
(sqrt.f64 (exp.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (sinh.f64 (.f64 (+.f64 b a) eps))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
(fabs.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))
(exp.f64 (fma.f64 (+.f64 b a) eps #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 b a))) eps))
(exp.f64 (*.f64 (+.f64 b a) eps))
(+.f64 (sinh.f64 (.f64 (+.f64 b a) eps)) (cosh.f64 (.f64 (+.f64 b a) eps)))
(+.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (sinh.f64 (.f64 (+.f64 b a) eps)))
(.f64 (.f64 eps (+.f64 (/.f64 b a) #s(literal 1 binary64))) a)
(.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (.f64 a eps))
(*.f64 (+.f64 b a) eps)
(*.f64 eps (+.f64 b a))
(/.f64 (.f64 eps (.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(/.f64 (.f64 eps (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) eps) (-.f64 a b))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) eps) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(fma.f64 b eps (*.f64 a eps))
(fma.f64 a eps (*.f64 b eps))
(fma.f64 eps b (*.f64 a eps))
(fma.f64 eps a (*.f64 b eps))
(+.f64 (.f64 b eps) (.f64 a eps))
(+.f64 (.f64 a eps) (.f64 b eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a)
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 b b (-.f64 (.f64 a a) (*.f64 b a))))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 b (-.f64 b a) (.f64 a a))) (/.f64 (.f64 (.f64 b b) b) (fma.f64 b (-.f64 b a) (.f64 a a))))
(+.f64 b a)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
a
b
#s(literal 1 binary64)
(.f64 (.f64 (expm1.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps))))) (exp.f64 (*.f64 a eps)))
(.f64 (.f64 (expm1.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps))))) (exp.f64 (*.f64 b eps)))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(/.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (expm1.f64 (.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (expm1.f64 (.f64 a eps))) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (expm1.f64 (.f64 b eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (expm1.f64 (.f64 b eps))) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))))
(neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(fma.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 b eps)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)) (.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a eps))))
(fma.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 a eps)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)) (.f64 #s(literal -1 binary64) (expm1.f64 (.f64 b eps))))
(+.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (.f64 (expm1.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(+.f64 (.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 b eps))) (.f64 (expm1.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))) (.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))))
(+.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (.f64 a eps)))) (exp.f64 (*.f64 a eps)))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (exp.f64 (*.f64 a eps)))
(.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))))))
(.f64 (exp.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 a eps)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)))) (expm1.f64 (.f64 (*.f64 a eps) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)))) (cosh.f64 (*.f64 a eps)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (cosh.f64 (.f64 a eps)) (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (sinh.f64 (*.f64 a eps))))
(fma.f64 (cosh.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (.f64 (sinh.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 a eps))))))
(fma.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a eps #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) eps))
(expm1.f64 (*.f64 a eps))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(+.f64 (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (cosh.f64 (.f64 a eps))) (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps)))) (sinh.f64 (.f64 a eps))))
(+.f64 (.f64 (cosh.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps))))) (.f64 (sinh.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 a eps))))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)))
(+.f64 (cosh.f64 (.f64 a eps)) (+.f64 (sinh.f64 (.f64 a eps)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 a eps)) (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)))) (cosh.f64 (.f64 a eps)))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))))
(.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))
(pow.f64 (exp.f64 eps) a)
(pow.f64 (exp.f64 a) eps)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps))) (.f64 (sinh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))) (-.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)) (-.f64 (.f64 (sinh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps))) (.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps))))))
(sqrt.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (.f64 a eps)) (neg.f64 (sinh.f64 (.f64 a eps))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 a eps))))
(fabs.f64 (exp.f64 (*.f64 a eps)))
(exp.f64 (fma.f64 a eps #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) eps))
(exp.f64 (*.f64 a eps))
(+.f64 (sinh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)))
(+.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))
(*.f64 a eps)
(*.f64 eps a)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (.f64 b eps)))) (exp.f64 (*.f64 b eps)))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (exp.f64 (*.f64 b eps)))
(.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))))
(.f64 (exp.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 b eps)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)))) (expm1.f64 (.f64 (*.f64 b eps) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 b eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 b eps)) (cosh.f64 (.f64 b eps)))) (cosh.f64 (*.f64 b eps)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (cosh.f64 (.f64 b eps)) (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (sinh.f64 (*.f64 b eps))))
(fma.f64 (cosh.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (.f64 (sinh.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 b eps))))))
(fma.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 b eps #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 b)) eps))
(expm1.f64 (*.f64 b eps))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 b eps) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(+.f64 (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (cosh.f64 (.f64 b eps))) (.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps)))) (sinh.f64 (.f64 b eps))))
(+.f64 (.f64 (cosh.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps))))) (.f64 (sinh.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (neg.f64 (.f64 b eps))))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 b eps)))
(+.f64 (cosh.f64 (.f64 b eps)) (+.f64 (sinh.f64 (.f64 b eps)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 b eps)) (-.f64 (sinh.f64 (.f64 b eps)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 b eps)) (cosh.f64 (.f64 b eps)))) (cosh.f64 (.f64 b eps)))
(*.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))))
(.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 b eps)))
(pow.f64 (exp.f64 eps) b)
(pow.f64 (exp.f64 b) eps)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 b eps)) (cosh.f64 (.f64 b eps))) (.f64 (sinh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps)))) (-.f64 (cosh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 b eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 b eps)) (cosh.f64 (.f64 b eps)) (-.f64 (.f64 (sinh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps))) (.f64 (cosh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps))))))
(sqrt.f64 (exp.f64 (.f64 (.f64 b eps) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (.f64 b eps)) (neg.f64 (sinh.f64 (.f64 b eps))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 b eps))))
(fabs.f64 (exp.f64 (*.f64 b eps)))
(exp.f64 (fma.f64 b eps #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 b)) eps))
(exp.f64 (*.f64 b eps))
(+.f64 (sinh.f64 (.f64 b eps)) (cosh.f64 (.f64 b eps)))
(+.f64 (cosh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps)))
(*.f64 b eps)
(*.f64 eps b)

eval45.0ms (0.3%)

Memory: -0.6MiB live, 60.8MiB allocated; 27ms collecting garbage
Compiler: Compiled 13 374 to 1 855 computations (86.1% saved)

prune8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	359	5	364
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	5	365

Accuracy

97.4%

Counts

365 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.3%	(/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 a eps)))
▶	58.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	42.6%	#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))
▶	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	51.9%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 304 to 208 computations (31.6% saved)

series101.0ms (0.7%)

Memory

3.3MiB live, 139.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	907	7065

Stop Event

1×	iter-limit

Counts

32 → 150

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 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 a eps)))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))))
eps
(/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps)))
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(+.f64 b a)
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(expm1.f64 (*.f64 a eps))
(*.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 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
(/.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)
(+.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))))
(.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) 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 eps (exp.f64 (.f64 a eps)))
(exp.f64 (*.f64 a eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 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) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (* a b) (*.f64 a b))
#s(approx (* eps (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1))) eps)
#s(approx (* eps (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* 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 a) eps)) 1) (- (exp (* 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 a) eps)) 1) (- (exp (* 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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 eps (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps))) (.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 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))))))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 b eps)))
#s(approx (- (exp (* (+ b a) 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 (* (+ b a) 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 (* (+ b a) 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 (* (+ b a) eps) (*.f64 b eps))
#s(approx (* (+ b a) eps) (fma.f64 a eps (*.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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) b)))) a))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 eps (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) b)))) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 a b) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))))))))) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))))))))) a))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (/.f64 (+.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps))))))))) a))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (/.f64 (+.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))) a))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (/.f64 (+.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (fma.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps))))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))) a))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))))) a))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 eps (.f64 #s(literal 1/2 binary64) eps)))))))) a))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 a (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) 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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 eps (*.f64 #s(literal 1/2 binary64) eps)))))))) a))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (+.f64 eps (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (+.f64 eps (.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 eps (.f64 #s(literal 1/2 binary64) eps)))))))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (* eps (exp (* a eps))) (+.f64 eps (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (exp (* a eps))) (+.f64 eps (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (exp (* a eps))) (+.f64 eps (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 eps #s(literal 2 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 (/ (+ 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 (* (+ b a) eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 b eps))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 b eps))))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 eps (+.f64 a b))))
#s(approx (* (+ b a) eps) (.f64 a (+.f64 eps (/.f64 (.f64 b eps) a))))
#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps)))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.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 (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.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)))))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (*.f64 a eps))))
#s(approx (* eps (exp (* a eps))) (.f64 eps (exp.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 (+ 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 (* (+ b a) eps)) 1) (- (exp (* 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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) (expm1.f64 (*.f64 b eps))))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))))
#s(approx (* (+ b a) 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 (* (+ 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 (* (+ b a) eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (expm1.f64 (*.f64 a eps)) b))
#s(approx (* eps (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* 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 a) eps)) 1) (- (exp (* 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 a) eps)) 1) (- (exp (* 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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (expm1.f64 (.f64 a eps)) (.f64 b eps)))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (-.f64 (fma.f64 b (-.f64 (exp.f64 (.f64 a eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps)))) (/.f64 (exp.f64 (.f64 a eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) b))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (-.f64 (fma.f64 b (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 a eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps)))))))))) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps)))) (/.f64 (exp.f64 (*.f64 a eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) b))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (-.f64 (fma.f64 b (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 a eps))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 a eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 a eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps))))))))))))))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 a eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps)))))))))) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 a eps)))) (/.f64 (exp.f64 (.f64 a eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) b))
#s(approx (- (exp (* (+ b a) 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 (* (+ b a) 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 (* (+ b a) 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 (* 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 (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (* (+ b a) eps) (.f64 b (+.f64 eps (/.f64 (.f64 a eps) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) 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 (* eps (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* 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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))) (expm1.f64 (*.f64 b eps))))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (+ b a) 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 (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 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 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))) (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 (* (+ b a) eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (+.f64 a b)) b))
#s(approx (* eps (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* 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 a) eps)) 1) (- (exp (* 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 a) eps)) 1) (- (exp (* 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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (+.f64 a b) b))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.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 (- (exp (* (+ b a) eps)) 1) (*.f64 eps (+.f64 a b)))
#s(approx (- (exp (* (+ b a) 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 (* (+ b a) 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 (* (+ b a) 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 (* 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 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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))) (/.f64 b a))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))))) (/.f64 b a))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (.f64 eps (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))))))))))) (/.f64 b a))))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (fma.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))) (/.f64 b a)))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))))) (/.f64 b a)))
#s(approx (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (.f64 eps (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))))))))))) (/.f64 b a)))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (fma.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (fma.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (* eps (exp (* a eps))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 a eps))))
#s(approx (* eps (exp (* a eps))) (.f64 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 (* eps (exp (* a eps))) (.f64 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 (* 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 (* 1/2 eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b eps)) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 eps (fma.f64 b (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))) (/.f64 #s(literal 1 binary64) (.f64 b eps))))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 b (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) (/.f64 #s(literal 1 binary64) eps)))))

Calls

9 calls:

Time	Variable	Point
23.0ms	eps	-inf
11.0ms	b	inf
10.0ms	a	-inf
5.0ms	a	0
5.0ms	b	0

rewrite189.0ms (1.4%)

Memory

-21.0MiB live, 221.4MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	308
0	70	300
1	327	286
2	2936	286
0	8848	271

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

32 → 925

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(.f64 (pow.f64 (/.f64 (.f64 b a) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a))))
(.f64 (pow.f64 (/.f64 (.f64 b a) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (-.f64 a b)))))
(*.f64 (pow.f64 (/.f64 b (+.f64 (/.f64 b a) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (pow.f64 (/.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 a b))
(*.f64 (pow.f64 (/.f64 a (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b b) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a)))) (/.f64 a (.f64 b a)))
(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) (/.f64 a a))
(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a) (/.f64 a b))
(*.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 b a))
(*.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (/.f64 b b))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
(.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 a (.f64 b a)))
(.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 b (.f64 b a)))
(.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 b (+.f64 b a)) #s(literal -1 binary64)))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 b a)))
(pow.f64 (/.f64 b (/.f64 (+.f64 b a) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b (/.f64 a (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 b (/.f64 a (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 b b) (.f64 b a)) (.f64 a (neg.f64 a))) (.f64 a (*.f64 b a)))
(/.f64 (-.f64 (.f64 (/.f64 b a) (.f64 b a)) (.f64 (neg.f64 a) b)) (.f64 b (*.f64 b a)))
(/.f64 (-.f64 (.f64 (neg.f64 b) (.f64 b a)) (.f64 (.f64 (neg.f64 a) b) (neg.f64 a))) (.f64 (.f64 (neg.f64 a) b) (*.f64 b a)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 b a)) (.f64 (/.f64 (.f64 b a) b) (neg.f64 a))) (.f64 (/.f64 (.f64 b a) b) (*.f64 b a)))
(/.f64 (-.f64 (.f64 b (.f64 b a)) (.f64 (.f64 b a) (neg.f64 a))) (.f64 (.f64 a a) (*.f64 b b)))
(/.f64 (-.f64 (.f64 (/.f64 a a) (.f64 b a)) (.f64 b (neg.f64 b))) (.f64 b (*.f64 b a)))
(/.f64 (-.f64 (.f64 (/.f64 a b) (.f64 b a)) (.f64 (neg.f64 a) b)) (.f64 a (*.f64 b a)))
(/.f64 (-.f64 (.f64 (neg.f64 a) (.f64 b a)) (.f64 (.f64 (neg.f64 a) b) (neg.f64 b))) (.f64 (.f64 (neg.f64 a) b) (*.f64 b a)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 b a)) (.f64 (/.f64 (.f64 b a) a) (neg.f64 b))) (.f64 (/.f64 (.f64 b a) a) (*.f64 b a)))
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a
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eps
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(fma.f64 a (log.f64 (exp.f64 eps)) #s(literal 0 binary64))
(fma.f64 a eps #s(literal 0 binary64))
(fma.f64 eps a #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)) (-.f64 (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (*.f64 a (neg.f64 eps)))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps))))) (log.f64 (cosh.f64 (*.f64 a eps))))
(+.f64 (log.f64 (exp.f64 (.f64 a (/.f64 eps #s(literal 2 binary64))))) (log.f64 (exp.f64 (.f64 a (/.f64 eps #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 a eps))
(+.f64 (*.f64 a eps) #s(literal 0 binary64))
(log.f64 (exp.f64 (*.f64 a eps)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a (neg.f64 eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)) (-.f64 (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)) (-.f64 (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)) (-.f64 (pow.f64 (sinh.f64 (.f64 a eps)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a (neg.f64 eps)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (neg.f64 eps))))
(sqrt.f64 (exp.f64 (*.f64 a (+.f64 eps eps))))
(-.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (neg.f64 (.f64 a eps))))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 (.f64 a eps))) (cosh.f64 (.f64 a eps))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 a eps)))))
(fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 a eps)))))
(fabs.f64 (.f64 (neg.f64 (exp.f64 (.f64 a eps))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 a eps))))
(fabs.f64 (exp.f64 (*.f64 a eps)))
(exp.f64 (/.f64 (fma.f64 a eps (*.f64 a eps)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) a))
(exp.f64 (*.f64 a eps))
(+.f64 (sinh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)))
(+.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

eval137.0ms (1%)

Memory: 19.5MiB live, 202.1MiB allocated; 34ms collecting garbage
Compiler: Compiled 48 969 to 5 446 computations (88.9% saved)

prune42.0ms (0.3%)

Memory

-8.2MiB live, 38.2MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 074	3	1 077
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 076	6	1 082

Accuracy

100.0%

Counts

1 082 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a)) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) b))
✓	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.9%	#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 234 to 144 computations (38.5% saved)

series34.0ms (0.2%)

Memory

5.0MiB live, 50.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2984

Stop Event

1×	iter-limit

Counts

16 → 53

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

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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) b)))) a))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 eps (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) b)))) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 a b) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))))))))) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.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 (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.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)))))
#s(approx (+ 1 (/ b a)) (+.f64 #s(literal 1 binary64) (/.f64 b 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 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 (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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ 1 (/ b a)) (*.f64 b (+.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 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 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 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))) (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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))) (/.f64 b a))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))))) (/.f64 b a))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (.f64 eps (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))))))))))) (/.f64 b a))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b eps)) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 eps (fma.f64 b (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))) (/.f64 #s(literal 1 binary64) (.f64 b eps))))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 b (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) (/.f64 #s(literal 1 binary64) eps)))))

Calls

9 calls:

Time	Variable	Point
3.0ms	a	-inf
3.0ms	b	-inf
3.0ms	a	inf
2.0ms	b	inf
2.0ms	b	0

rewrite207.0ms (1.5%)

Memory

10.9MiB live, 251.0MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	295
0	46	295
1	284	271
2	2987	271
0	9286	235

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

16 → 636

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

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

eval80.0ms (0.6%)

Memory: 17.2MiB live, 164.3MiB allocated; 16ms collecting garbage
Compiler: Compiled 42 693 to 3 244 computations (92.4% saved)

prune17.0ms (0.1%)

Memory

-9.5MiB live, 36.2MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	723	2	725
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	725	6	731

Accuracy

100.0%

Counts

731 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a)) b))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (-.f64 (/.f64 b a) #s(literal -1 binary64))) b))
✓	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.9%	#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 234 to 144 computations (38.5% saved)

series36.0ms (0.3%)

Memory

6.9MiB live, 58.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	2984

Stop Event

1×	iter-limit

Counts

13 → 53

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

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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) b)))) a))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 eps (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) b)))) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 a b) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))))))))) a))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (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 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 1/2 binary64) eps)))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 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 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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (/.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 (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.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)))))
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b 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 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 (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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (/ b a) -1) (*.f64 b (+.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 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 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 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))) (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 (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) a (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))))))))) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))) (/.f64 b a))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a))))) (/.f64 b a))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))) (.f64 eps (fma.f64 b (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (.f64 #s(literal 1/4 binary64) a))))))))))))))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal 1/6 binary64) a (*.f64 #s(literal 1/4 binary64) a)))))))))))) (/.f64 b a))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b eps)) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 b (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 eps (fma.f64 b (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))))))
#s(approx (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))) (/.f64 #s(literal 1 binary64) (.f64 b eps))))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 b (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))))))
#s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))) (/.f64 #s(literal 1 binary64) eps)))))

Calls

9 calls:

Time	Variable	Point
11.0ms	b	-inf
3.0ms	a	-inf
2.0ms	a	inf
2.0ms	b	inf
1.0ms	b	0

rewrite93.0ms (0.7%)

Memory

-28.4MiB live, 110.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	191
0	43	191
1	274	179
0	3043	161

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

13 → 221

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

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

eval33.0ms (0.2%)

Memory: 26.9MiB live, 77.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 15 219 to 1 417 computations (90.7% saved)

prune8.0ms (0.1%)

Memory

-24.1MiB live, 22.6MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	262	6	268

Accuracy

100.0%

Counts

268 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	51.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a)) b))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (-.f64 (/.f64 b a) #s(literal -1 binary64))) b))
✓	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	51.9%	#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 234 to 144 computations (38.5% saved)

regimes29.0ms (0.2%)

Memory

30.4MiB live, 75.5MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 2

11 → 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))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a)) 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 #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 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (/.f64 b a)) 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))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (-.f64 (/.f64 b a) #s(literal -1 binary64))) 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 #s(literal 1 binary64) (/.f64 a b)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) b))
(/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 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 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
(/.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

12 calls:

3.0ms	eps
3.0ms	b
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
51.9%	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))))`
51.9%	1	`eps`
51.9%	1	`a`
51.9%	1	`b`
58.5%	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))))`
83.8%	4	`a`
81.6%	2	`b`
78.0%	4	`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 497 to 164 computations (67% saved)

bsearch30.0ms (0.2%)

Memory

15.1MiB live, 55.2MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.247944521912792e-164	1.2961840051399648e-157

Samples

22.0ms

144×

valid

Compiler

Compiled 531 to 397 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-expm1: 14.0ms (75.8% of total)

ival-mult!: 3.0ms (16.2% of total)

ival-add!: 1.0ms (5.4% of total)

ival-div!: 1.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

derivations95.0ms (0.7%)

Memory

-96.0MiB live, 11.3MiB allocated; 104ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 128 to 33 computations (74.2% saved)

preprocess28.0ms (0.2%)

Memory: -6.9MiB live, 43.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 415 to 197 computations (52.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze136.0ms (1%)

sample12.3s (89.1%)

preprocess39.0ms (0.3%)

series53.0ms (0.4%)

rewrite70.0ms (0.5%)

eval45.0ms (0.3%)

prune8.0ms (0.1%)

series101.0ms (0.7%)

rewrite189.0ms (1.4%)

eval137.0ms (1%)

prune42.0ms (0.3%)

series34.0ms (0.2%)

rewrite207.0ms (1.5%)

eval80.0ms (0.6%)

prune17.0ms (0.1%)

series36.0ms (0.3%)

rewrite93.0ms (0.7%)

eval33.0ms (0.2%)

prune8.0ms (0.1%)

regimes29.0ms (0.2%)

bsearch30.0ms (0.2%)

derivations95.0ms (0.7%)

preprocess28.0ms (0.2%)

end0.0ms (0%)

Profiling