Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

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

analyze173.0ms (1.5%)

Memory

-7.0MiB live, 279.4MiB allocated; 96ms 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)

sample10.5s (91%)

Memory

53.0MiB live, 11 476.6MiB allocated; 3.3s collecting garbage

Samples

7.2s	62 521×	0	invalid
797.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-mult!: 2.0s (34.8% of total)

ival-expm1: 1.3s (23.1% of total)

ival-add!: 909.0ms (16% of total)

ival-fabs: 550.0ms (9.7% of total)

ival-<=: 389.0ms (6.8% of total)

ival-div!: 332.0ms (5.8% of total)

ival-and: 127.0ms (2.2% of total)

ival-fmin: 54.0ms (0.9% of total)

ival-assert: 27.0ms (0.5% of total)

adjust: 12.0ms (0.2% of total)

Bogosity

preprocess36.0ms (0.3%)

Memory

-36.9MiB live, 7.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

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)

series50.0ms (0.4%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms 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
5.0ms	eps	inf
4.0ms	eps	0
3.0ms	eps	-inf
3.0ms	b	0
3.0ms	a	inf

rewrite116.0ms (1%)

Memory

3.7MiB live, 50.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	141	99
2	521	99
3	2832	99
0	4165	81

Stop Event

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

Counts

17 → 512

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 (neg.f64 eps) (expm1.f64 (.f64 b eps))) (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps))) (/.f64 (neg.f64 eps) (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 b eps))) (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))))
(.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 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))))
(.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))))
(.f64 (neg.f64 eps) (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(.f64 (.f64 eps (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))))
(.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b 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 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (/.f64 eps (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))))
(.f64 (neg.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 (/.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 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a 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 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (neg.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 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps)))
(/.f64 (.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (expm1.f64 (*.f64 b eps)))
(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)) (expm1.f64 (*.f64 a eps)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 (neg.f64 eps) (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps)))) (neg.f64 (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (neg.f64 (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps)))) (neg.f64 (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 eps (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 b eps)))) (neg.f64 (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal -1 binary64)) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 b eps))) (neg.f64 (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps))))) (neg.f64 (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (expm1.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 a eps)))
(/.f64 (.f64 eps (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps)))) (neg.f64 (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (neg.f64 (expm1.f64 (*.f64 b eps))) #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (expm1.f64 (*.f64 b 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 (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 a eps)) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (.f64 b eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 b eps))) (.f64 eps (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))) (.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(/.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 eps (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(neg.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps)))))
(neg.f64 (.f64 (neg.f64 eps) (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(fma.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(fma.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps)))))
(fma.f64 (/.f64 (exp.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)))) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps)))
(fma.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 b eps)))))
(fma.f64 eps (/.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 eps (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (neg.f64 eps)))
(+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps)))) (.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))))
(+.f64 (.f64 eps (/.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))) (.f64 eps (/.f64 #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))) (.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))))
(+.f64 (.f64 (/.f64 (exp.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps)))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(+.f64 (.f64 (/.f64 (exp.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)))) eps))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (/.f64 eps (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps))) (.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps))
(.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (.f64 (+.f64 b a) eps)))
(.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))))
(.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (neg.f64 eps))
(.f64 (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (*.f64 eps #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (neg.f64 (neg.f64 eps)))
(.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))
(.f64 eps (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))
(.f64 eps (expm1.f64 (.f64 (+.f64 b a) eps)))
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps)) (.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (-.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps) (neg.f64 eps)))))
(neg.f64 (.f64 (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal -1 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)))
(neg.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 b a) eps))))
(fma.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 #s(literal 0 binary64) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)))
(fma.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (.f64 #s(literal 0 binary64) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)))
(fma.f64 #s(literal -1 binary64) eps (.f64 (exp.f64 (.f64 (+.f64 b a) eps)) eps))
(fma.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (neg.f64 eps) (.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 b a) eps))) (neg.f64 eps) (.f64 #s(literal 0 binary64) (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps)))
(fma.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) eps (.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps))
(fma.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64) (.f64 (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)))
(fma.f64 (.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)))
(fma.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 eps #s(literal 1 binary64)) (.f64 (.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)))
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eps
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(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (.f64 (+.f64 b a) eps))) (sinh.f64 (.f64 (+.f64 b a) eps))))
(fabs.f64 (.f64 (neg.f64 (exp.f64 (.f64 b eps))) (neg.f64 (exp.f64 (*.f64 a eps)))))
(fabs.f64 (.f64 (neg.f64 (exp.f64 (.f64 b eps))) (exp.f64 (*.f64 a eps))))
(fabs.f64 (.f64 (exp.f64 (.f64 b eps)) (neg.f64 (exp.f64 (*.f64 a eps)))))
(fabs.f64 (.f64 (neg.f64 (exp.f64 (.f64 a eps))) (neg.f64 (exp.f64 (*.f64 b eps)))))
(fabs.f64 (.f64 (neg.f64 (exp.f64 (.f64 a eps))) (exp.f64 (*.f64 b eps))))
(fabs.f64 (.f64 (exp.f64 (.f64 a eps)) (neg.f64 (exp.f64 (*.f64 b eps)))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
(fabs.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))
(exp.f64 (/.f64 (fma.f64 (+.f64 b a) eps (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (+.f64 b a) eps (.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 (+.f64 b a) (+.f64 eps eps)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) (+.f64 b a)))
(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 #s(literal 1 binary64) (/.f64 (.f64 a eps) (.f64 b eps))) (.f64 b eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b eps) (.f64 a eps))) (.f64 a eps))
(*.f64 (+.f64 b a) eps)
(*.f64 eps (+.f64 b a))
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(/.f64 (-.f64 (.f64 (.f64 a eps) (.f64 a eps)) (.f64 (.f64 b eps) (.f64 b eps))) (-.f64 (.f64 a eps) (.f64 b eps)))
(/.f64 (+.f64 (pow.f64 (.f64 b eps) #s(literal 3 binary64)) (pow.f64 (.f64 a eps) #s(literal 3 binary64))) (fma.f64 (.f64 b eps) (.f64 b eps) (-.f64 (.f64 (.f64 a eps) (.f64 a eps)) (.f64 (.f64 b eps) (.f64 a eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 a eps) #s(literal 3 binary64)) (pow.f64 (.f64 b eps) #s(literal 3 binary64))) (fma.f64 (.f64 a eps) (.f64 a eps) (-.f64 (.f64 (.f64 b eps) (.f64 b eps)) (.f64 (.f64 a eps) (.f64 b eps)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))
(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 (neg.f64 a) eps))
(-.f64 (.f64 a eps) (.f64 (neg.f64 b) eps))
(+.f64 (.f64 b eps) (.f64 a eps))
(+.f64 (.f64 a eps) (.f64 b eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/.f64 (-.f64 (.f64 b b) (.f64 (neg.f64 a) (neg.f64 a))) (+.f64 b (neg.f64 a)))
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(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) (+.f64 a (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 a a) (.f64 b a))))
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(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 b b) (.f64 a b))))
(neg.f64 (-.f64 (neg.f64 a) b))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b a)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 b eps))) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))))) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))))
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(.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (*.f64 b eps))))
(.f64 (neg.f64 (expm1.f64 (.f64 b eps))) (neg.f64 (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)))
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(neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))))
(fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a eps)) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))
(fma.f64 (cosh.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)) (.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)) (expm1.f64 (*.f64 b eps))))
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(fma.f64 (expm1.f64 (.f64 b eps)) #s(literal -1 binary64) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))))
(fma.f64 (expm1.f64 (.f64 b eps)) (cosh.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 b eps)) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64))))
(fma.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (*.f64 b eps))))
(fma.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
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(fma.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
(fma.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (*.f64 b eps))))
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(-.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(-.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(-.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal -1 binary64)))
(-.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(-.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))
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(+.f64 (neg.f64 (expm1.f64 (.f64 b eps))) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)) (cosh.f64 (.f64 a eps)))) (cosh.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 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 a) eps))) (exp.f64 (*.f64 a eps)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (.f64 eps (+.f64 a a)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps))))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps))) (.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.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 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a eps)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (.f64 eps (+.f64 a a))) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 a eps))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.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 (-.f64 (exp.f64 (.f64 eps (+.f64 a a))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 eps (+.f64 a a))) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a a))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 a eps)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 eps (+.f64 a a))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a eps))))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a eps))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a eps))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a eps))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(expm1.f64 (/.f64 (fma.f64 a eps (*.f64 a eps)) #s(literal 2 binary64)))
(expm1.f64 (/.f64 (.f64 (.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (fma.f64 a eps (.f64 a eps)) #s(literal 1/2 binary64)))
(expm1.f64 (.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (neg.f64 (*.f64 (neg.f64 a) eps)))
(expm1.f64 (*.f64 a eps))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a eps))) (sinh.f64 (.f64 (neg.f64 a) eps)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a eps))))
(-.f64 (sinh.f64 (.f64 a eps)) (-.f64 #s(literal 1 binary64) (cosh.f64 (.f64 a eps))))
(-.f64 (cosh.f64 (.f64 a eps)) (-.f64 (sinh.f64 (.f64 (neg.f64 a) eps)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (.f64 a eps)) (+.f64 (sinh.f64 (.f64 (neg.f64 a) eps)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (.f64 a eps)) (neg.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64))))
(-.f64 (expm1.f64 (*.f64 a eps)) #s(literal 0 binary64))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
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(+.f64 (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)) (cosh.f64 (.f64 a eps)))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)))
(+.f64 (sinh.f64 (.f64 a eps)) (+.f64 (cosh.f64 (.f64 a eps)) #s(literal -1 binary64)))
(+.f64 (sinh.f64 (.f64 a eps)) (-.f64 (cosh.f64 (.f64 a eps)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 a eps)) (-.f64 (sinh.f64 (.f64 a eps)) #s(literal 1 binary64)))
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(.f64 (sqrt.f64 (neg.f64 (exp.f64 (.f64 a eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 a eps)))))
(.f64 (pow.f64 (neg.f64 (exp.f64 (.f64 a eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 a eps)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a eps)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 a eps)) (sinh.f64 (.f64 a eps)))) (sinh.f64 (.f64 a eps)))
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(*.f64 (pow.f64 (exp.f64 eps) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 a #s(literal 2 binary64))))
(.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) (sqrt.f64 (exp.f64 (*.f64 a eps))))
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(*.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 eps (+.f64 a a))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 eps) a)
(pow.f64 (exp.f64 a) eps)
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(exp.f64 (.f64 (fma.f64 b eps (.f64 b eps)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 eps (+.f64 b b)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) b))
(exp.f64 (neg.f64 (*.f64 (neg.f64 b) eps)))
(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 (neg.f64 (.f64 (neg.f64 b) eps))))
(+.f64 (cosh.f64 (.f64 b eps)) (sinh.f64 (.f64 b eps)))
(*.f64 b eps)
(*.f64 eps b)

eval35.0ms (0.3%)

Memory: -13.0MiB live, 32.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 21 187 to 2 905 computations (86.3% saved)

prune8.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	605	6	611
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	606	6	612

Accuracy

98.6%

Counts

612 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 340 to 234 computations (31.2% saved)

series66.0ms (0.6%)

Memory

-25.9MiB live, 32.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	829	4618

Stop Event

1×	iter-limit

Counts

25 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
9.0ms	eps	-inf
4.0ms	b	-inf
3.0ms	a	inf
3.0ms	eps	0
3.0ms	a	-inf

rewrite104.0ms (0.9%)

Memory

9.7MiB live, 56.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	202
0	59	196
1	269	196
2	899	196
0	4120	196

Stop Event

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

Counts

25 → 754

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 b eps)) (expm1.f64 (.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(/.f64 eps (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps))))
eps
(.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(+.f64 b a)
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 (+.f64 b a) eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(/.f64 eps (expm1.f64 (*.f64 b eps)))

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

eval72.0ms (0.6%)

Memory: 16.7MiB live, 60.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 29 835 to 3 204 computations (89.3% saved)

prune13.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	830	1	831
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	833	4	837

Accuracy

100.0%

Counts

837 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 128 to 86 computations (32.8% saved)

series18.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	1522

Stop Event

1×	iter-limit

Counts

8 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Memory

-3.2MiB live, 44.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	73
0	27	73
1	183	73
2	810	73
0	4076	67

Stop Event

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

Counts

8 → 346

Calls

Call 1

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #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 a (.f64 b a)) (/.f64 b (.f64 b a)))) (/.f64 b (.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 #s(literal 1 binary64) (/.f64 (/.f64 b (.f64 (neg.f64 a) b)) (/.f64 a (.f64 b a)))) (/.f64 a (.f64 b a)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (.f64 (neg.f64 a) b)) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(.f64 (.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 a (.f64 b a)) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(.f64 (fma.f64 (/.f64 a (.f64 b a)) (.f64 b a) b) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 (.f64 (.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 a a))))
(.f64 (.f64 a (-.f64 (/.f64 a b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(.f64 (fma.f64 a (.f64 b a) (.f64 (.f64 b a) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (*.f64 a a))))
(.f64 (fma.f64 #s(literal 1 binary64) a (.f64 a (/.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 (-.f64 (neg.f64 a) b) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) 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 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (.f64 b a)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(/.f64 (fma.f64 (/.f64 b (*.f64 b a)) b (/.f64 a a)) b)
(/.f64 (fma.f64 (/.f64 b (*.f64 b a)) (neg.f64 a) (/.f64 (neg.f64 a) b)) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 b (.f64 b a)) (.f64 (neg.f64 a) b) (neg.f64 a)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 b (*.f64 b a)) a (/.f64 a b)) a)
(/.f64 (fma.f64 (/.f64 b (.f64 b a)) (.f64 b a) a) (*.f64 b a))
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) a (/.f64 b b)) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) b (/.f64 b a)) b)
(/.f64 (fma.f64 (/.f64 a (.f64 b a)) (.f64 (neg.f64 a) b) (neg.f64 b)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) (neg.f64 a) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) a #s(literal 1 binary64)) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (/.f64 a a)) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a) (/.f64 (neg.f64 a) b)) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (neg.f64 a) b) (neg.f64 a)) (.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b a) a) (.f64 b a))
(/.f64 (fma.f64 (/.f64 b b) b (.f64 (/.f64 a a) a)) (.f64 b a))
(/.f64 (fma.f64 (/.f64 b b) (neg.f64 a) (.f64 (/.f64 (neg.f64 a) b) a)) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (/.f64 b b) (.f64 (neg.f64 a) b) (.f64 (neg.f64 a) a)) (.f64 a (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 b b) a (.f64 (/.f64 a b) a)) (.f64 a a))
(/.f64 (fma.f64 (/.f64 b a) b (.f64 (/.f64 a a) b)) (.f64 b b))
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 a) (.f64 (/.f64 (neg.f64 a) b) b)) (.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 b a) a (.f64 (/.f64 a b) b)) (.f64 b a))
(/.f64 (fma.f64 (neg.f64 b) b (.f64 (/.f64 a a) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) b))
(/.f64 (fma.f64 b a (.f64 (/.f64 (neg.f64 a) b) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 (neg.f64 a) b) (.f64 (neg.f64 a) (.f64 (neg.f64 a) b))) (.f64 (.f64 b b) (.f64 a a)))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (/.f64 a b) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) a))
(/.f64 (fma.f64 (neg.f64 b) (.f64 b a) (.f64 a (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) (.f64 b a)))
(/.f64 (fma.f64 b b (.f64 (/.f64 a a) (.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (/.f64 (neg.f64 a) b) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 b (.f64 (neg.f64 a) b) (.f64 (neg.f64 a) (.f64 b a))) (.f64 (.f64 b a) (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 b a (.f64 (/.f64 a b) (.f64 b a))) (.f64 (.f64 b a) a))
(/.f64 (fma.f64 b (.f64 b a) (.f64 a (.f64 b a))) (.f64 (.f64 b b) (.f64 a a)))
(/.f64 (fma.f64 (/.f64 a a) a (.f64 (/.f64 b b) b)) (.f64 b a))
(/.f64 (fma.f64 (/.f64 a a) b (.f64 (/.f64 b a) b)) (.f64 b b))
(/.f64 (fma.f64 (/.f64 a a) (.f64 (neg.f64 a) b) (.f64 (neg.f64 b) b)) (.f64 b (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (.f64 (/.f64 b b) (neg.f64 a))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) b (.f64 (/.f64 b a) (neg.f64 a))) (.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (.f64 (neg.f64 a) b) (.f64 b a)) (.f64 (neg.f64 a) (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (neg.f64 a) a (.f64 (/.f64 b b) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) a))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (/.f64 b a) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) b))
(/.f64 (fma.f64 (neg.f64 a) (.f64 (neg.f64 a) b) (.f64 (neg.f64 b) (.f64 (neg.f64 a) b))) (.f64 (.f64 b b) (.f64 a a)))
(/.f64 (fma.f64 (neg.f64 a) (.f64 b a) (.f64 b (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) (.f64 b a)))
(/.f64 (fma.f64 (/.f64 a b) a (.f64 (/.f64 b b) a)) (.f64 a a))
(/.f64 (fma.f64 (/.f64 a b) b (.f64 (/.f64 b a) a)) (.f64 b a))
(/.f64 (fma.f64 a a (.f64 (/.f64 b b) (.f64 b a))) (.f64 (.f64 b a) a))
(/.f64 (fma.f64 b a (.f64 (/.f64 b a) (.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 a (.f64 (neg.f64 a) b) (.f64 (neg.f64 b) (.f64 b a))) (.f64 (.f64 b a) (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 a a) (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (.f64 #s(literal -1 binary64) (neg.f64 a))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (.f64 #s(literal 1 binary64) (neg.f64 a))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 a a (.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 a) a (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) b))) (.f64 (.f64 (neg.f64 a) b) a))
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (.f64 #s(literal -1 binary64) a)) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (/.f64 a b) a (.f64 #s(literal 1 binary64) a)) (.f64 a a))
(/.f64 (fma.f64 a (neg.f64 a) (.f64 #s(literal -1 binary64) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 a a (.f64 #s(literal 1 binary64) (.f64 b a))) (.f64 (.f64 b a) a))
(/.f64 (+.f64 (neg.f64 b) (.f64 (/.f64 a a) (neg.f64 a))) (.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (/.f64 (neg.f64 a) b) (neg.f64 a))) (.f64 a a))
(/.f64 (fma.f64 #s(literal -1 binary64) a (.f64 (/.f64 a b) (neg.f64 a))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 b a) (.f64 a (neg.f64 a))) (.f64 (neg.f64 a) (.f64 b a)))
(/.f64 (+.f64 b (.f64 (/.f64 a a) a)) (.f64 b a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (.f64 (/.f64 (neg.f64 a) b) a)) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) b) (.f64 (neg.f64 a) a)) (.f64 a (.f64 (neg.f64 a) b)))
(/.f64 (-.f64 (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a))) (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)))) (-.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a))))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))) (-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 b (.f64 (neg.f64 a) b)) (/.f64 b (.f64 (neg.f64 a) b)))) (+.f64 (/.f64 a (.f64 b a)) (/.f64 b (.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 a (.f64 (neg.f64 a) b)) (/.f64 a (.f64 (neg.f64 a) b)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 (neg.f64 a) b))))
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(/.f64 (fma.f64 (/.f64 b b) (neg.f64 b) (neg.f64 a)) (neg.f64 b))
(/.f64 (fma.f64 (/.f64 b b) b a) b)
(/.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 b b (.f64 (.f64 a #s(literal 1 binary64)) b)) (*.f64 b b))
(/.f64 (fma.f64 b b (.f64 b a)) (.f64 b b))
(/.f64 (fma.f64 (.f64 a #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) b)) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) b)) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 b))) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 #s(literal 2 binary64) b)) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 (.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (.f64 (/.f64 b b) (/.f64 b b)) (.f64 (/.f64 a b) (/.f64 a b))) (-.f64 (/.f64 b b) (/.f64 a b)))
(/.f64 (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 a b) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 b b) #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (fma.f64 (/.f64 b b) (/.f64 b b) (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 (/.f64 b b) (/.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (/.f64 a b) #s(literal -1 binary64)))))
(/.f64 (+.f64 b (*.f64 a #s(literal 1 binary64))) b)
(/.f64 (fma.f64 b b (.f64 b (.f64 a #s(literal 1 binary64)))) (*.f64 b b))
(/.f64 (fma.f64 b (neg.f64 b) (.f64 (neg.f64 a) b)) (.f64 b (neg.f64 b)))
(/.f64 (fma.f64 (.f64 a #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 (neg.f64 b) #s(literal 2 binary64))) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) (.f64 a #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))) (.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (.f64 #s(literal 2 binary64) (neg.f64 a))) (.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)) (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) (neg.f64 a))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 a b))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 a) b) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (/.f64 a b) (/.f64 a b))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (-.f64 (neg.f64 a) b) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (-.f64 (neg.f64 a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (+.f64 b a)))
(/.f64 (+.f64 b a) b)
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 a b))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b b))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b b))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 b b) #s(literal 1 binary64) (/.f64 a b))
(fma.f64 (neg.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) b) (/.f64 b b))
(fma.f64 (neg.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) (/.f64 a b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) a (/.f64 b b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) (/.f64 b b))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 a b) #s(literal 1 binary64) (/.f64 b b))
(fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 b b) (/.f64 a b))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) (/.f64 a b))
(fma.f64 a (/.f64 #s(literal 1 binary64) b) (/.f64 b b))
(fma.f64 a (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(-.f64 (/.f64 b b) (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 a b) (/.f64 (neg.f64 b) b))
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
(+.f64 (/.f64 b b) (/.f64 a b))
(+.f64 (/.f64 a b) (/.f64 b b))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 b))
(/.f64 (*.f64 a #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (neg.f64 a)) b)
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 a b)
(neg.f64 (/.f64 (neg.f64 a) b))
a
b

eval38.0ms (0.3%)

Memory: -21.9MiB live, 30.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 18 135 to 1 825 computations (89.9% saved)

prune9.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	363	4	367

Accuracy

100.0%

Counts

367 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 128 to 86 computations (32.8% saved)

series17.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1522

Stop Event

1×	iter-limit

Counts

8 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite89.0ms (0.8%)

Memory

-4.0MiB live, 43.5MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	73
0	28	73
1	184	73
2	778	73
0	4072	67

Stop Event

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

Counts

8 → 151

Calls

Call 1

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #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 #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 a b) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 a (.f64 b a)) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (fma.f64 (/.f64 a b) a (.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) (neg.f64 a) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (neg.f64 a)) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 a a) (neg.f64 a) (.f64 #s(literal -1 binary64) b)) (.f64 (neg.f64 b) a))
(/.f64 (fma.f64 (/.f64 a a) a (.f64 #s(literal 1 binary64) b)) (.f64 b a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (.f64 #s(literal -1 binary64) (neg.f64 a))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (.f64 #s(literal 1 binary64) (neg.f64 a))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 a a (.f64 #s(literal -1 binary64) (.f64 (neg.f64 b) a))) (.f64 (.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 a) a (.f64 #s(literal 1 binary64) (.f64 (neg.f64 b) a))) (.f64 (.f64 (neg.f64 b) a) a))
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (.f64 #s(literal -1 binary64) a)) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (/.f64 a b) a (.f64 #s(literal 1 binary64) a)) (.f64 a a))
(/.f64 (fma.f64 a (neg.f64 a) (.f64 #s(literal -1 binary64) (.f64 b a))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 a a (.f64 #s(literal 1 binary64) (.f64 b a))) (.f64 (.f64 b a) a))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))) (-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 a (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 a (.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (fma.f64 (/.f64 a a) (neg.f64 a) (.f64 b #s(literal -1 binary64))) (.f64 (neg.f64 b) a))
(/.f64 (fma.f64 (/.f64 a a) a (.f64 b #s(literal 1 binary64))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (.f64 (neg.f64 a) #s(literal -1 binary64))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 a a (.f64 (.f64 (neg.f64 b) a) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 a) a (.f64 (.f64 (neg.f64 b) a) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 b) a) a))
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 a (neg.f64 a) (.f64 (.f64 b a) #s(literal -1 binary64))) (.f64 (.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 a a (.f64 (.f64 b a) #s(literal 1 binary64))) (.f64 (.f64 b a) a))
(/.f64 (-.f64 (.f64 (/.f64 a a) a) (.f64 b #s(literal -1 binary64))) (*.f64 b a))
(/.f64 (-.f64 (.f64 (/.f64 a a) (neg.f64 a)) (.f64 b #s(literal 1 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 a) b) a) (.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 a) b) (neg.f64 a)) (.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (-.f64 (.f64 (neg.f64 a) a) (.f64 (.f64 (neg.f64 b) a) #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (neg.f64 b) a) #s(literal 1 binary64))) (.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (-.f64 (.f64 (/.f64 a b) (neg.f64 a)) (.f64 a #s(literal 1 binary64))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 b a) #s(literal -1 binary64))) (.f64 (*.f64 b a) a))
(/.f64 (-.f64 (.f64 a (neg.f64 a)) (.f64 (.f64 b a) #s(literal 1 binary64))) (.f64 (*.f64 b a) (neg.f64 a)))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) a) #s(literal -1 binary64)) (.f64 (neg.f64 b) a))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) a) #s(literal 1 binary64)) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -1 binary64) b) a) #s(literal -1 binary64)) (*.f64 b a))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -1 binary64) b) a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b a)) a #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) a (.f64 a #s(literal 1 binary64)))) (neg.f64 (.f64 a a)))
(/.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64)) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) a #s(literal 1 binary64)) a)
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) a))) (+.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 a (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)) (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)))))
(/.f64 (fma.f64 (/.f64 a b) a (.f64 a #s(literal 1 binary64))) (.f64 a a))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (neg.f64 (neg.f64 a)))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (/.f64 a (*.f64 b a)) a #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (fma.f64 (/.f64 a b) a (.f64 a #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) a))
(fma.f64 (/.f64 a a) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b)))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 a (*.f64 b a)))
(fma.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(-.f64 (/.f64 (.f64 (/.f64 a (.f64 b a)) a) a) (/.f64 #s(literal -1 binary64) a))
(-.f64 (/.f64 (.f64 (/.f64 a b) a) (.f64 a a)) (/.f64 (.f64 a #s(literal -1 binary64)) (.f64 a a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 a b) (neg.f64 a)))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal -1 binary64) a))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 a b))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a b))) (/.f64 a b))
(/.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 a #s(literal 1 binary64))) b)
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (neg.f64 a)) (neg.f64 b))
(/.f64 (fma.f64 #s(literal 1 binary64) b a) b)
(/.f64 (fma.f64 (.f64 a #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) b)) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)))) (.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 b))) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 #s(literal 2 binary64) b)) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 (.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)) (.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (/.f64 a b) (/.f64 a b))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (fma.f64 (.f64 a #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64) (.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 (neg.f64 b) #s(literal 2 binary64))) (.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) (.f64 a #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)) (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))) (.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (.f64 #s(literal 2 binary64) (neg.f64 a))) (.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 2 binary64) b))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) a)) (neg.f64 b))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) b) a)) b)
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) a) (neg.f64 (neg.f64 b)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) b) a) (neg.f64 b))
(/.f64 (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (/.f64 a b) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 a b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (/.f64 a b) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(fma.f64 a (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(.f64 (.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 a #s(literal 1 binary64)) b)
(/.f64 (*.f64 a #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 a)) b)
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 a (neg.f64 (neg.f64 b)))
(/.f64 a b)
(neg.f64 (/.f64 (neg.f64 a) b))
a
b
#s(literal -1 binary64)

eval19.0ms (0.2%)

Memory: -31.5MiB live, 15.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 8 499 to 955 computations (88.8% saved)

prune4.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	166	4	170

Accuracy

100.0%

Counts

170 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 128 to 86 computations (32.8% saved)

regimes23.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 2

3 → 3

9 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

Outputs

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

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

Call 3

Inputs

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

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

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

Outputs

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

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

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

Call 4

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

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

Calls

13 calls:

3.0ms	eps
3.0ms	a
3.0ms	b
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))))
1.0ms	eps

Results

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

Compiler

Compiled 356 to 151 computations (57.6% saved)

bsearch21.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.662899534702495e-209	-5.145521871921845e-211
8.0ms	-2.733864782240065e-92	-8.737261092665567e-93

Samples

12.0ms

192×

valid

Compiler

Compiled 719 to 528 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 4.0ms (52.6% of total)

ival-expm1: 3.0ms (39.4% of total)

ival-add!: 1.0ms (13.1% of total)

ival-div!: 1.0ms (13.1% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

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

Compiler

Compiled 419 to 313 computations (25.3% saved)

derivations15.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 224 to 40 computations (82.1% saved)

preprocess30.0ms (0.3%)

Memory: -17.3MiB live, 30.3MiB allocated; 2ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 703 to 268 computations (61.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze173.0ms (1.5%)

sample10.5s (91%)

preprocess36.0ms (0.3%)

series50.0ms (0.4%)

rewrite116.0ms (1%)

eval35.0ms (0.3%)

prune8.0ms (0.1%)

series66.0ms (0.6%)

rewrite104.0ms (0.9%)

eval72.0ms (0.6%)

prune13.0ms (0.1%)

series18.0ms (0.2%)

rewrite87.0ms (0.8%)

eval38.0ms (0.3%)

prune9.0ms (0.1%)

series17.0ms (0.1%)

rewrite89.0ms (0.8%)

eval19.0ms (0.2%)

prune4.0ms (0%)

regimes23.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

derivations15.0ms (0.1%)

preprocess30.0ms (0.3%)

end0.0ms (0%)

Profiling