Metrics for expq3 (problem 3.4.2)

start0.0ms (0.0%)

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

analyze168.0ms (1.3%)

Memory

-13.5MiB live, 135.8MiB allocated; 39ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	25.4%	74.6%	0.0%	0.0%	0.0%	0
0.0%	0.0%	25.4%	74.6%	0.0%	0.0%	0.0%	1
0.0%	0.0%	25.4%	74.6%	0.0%	0.0%	0.0%	2
0.0%	0.0%	25.4%	74.6%	0.0%	0.0%	0.0%	3
0.0%	0.0%	22.2%	74.6%	0.0%	3.2%	0.0%	4
0.0%	0.0%	20.6%	74.6%	0.0%	4.8%	0.0%	5
0.0%	0.0%	18.3%	74.6%	0.0%	7.1%	0.0%	6
0.0%	0.0%	10.7%	74.6%	0.0%	14.7%	0.0%	7
0.0%	0.0%	9.3%	74.6%	0.0%	16.1%	0.0%	8
0.0%	0.0%	8.2%	74.6%	0.0%	17.2%	0.0%	9
0.0%	0.0%	5.7%	74.6%	0.0%	19.7%	0.0%	10
0.0%	0.0%	5.0%	74.6%	0.0%	20.4%	0.0%	11
0.0%	0.0%	4.4%	74.6%	0.0%	21.0%	0.0%	12

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample12.1s (91.0%)

Memory

274.9MiB live, 14 078.1MiB allocated; 4.3s collecting garbage

Samples

8.2s	63 555×	0	invalid
918.0ms	8 256×	0	valid

Precisions

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

ival-mult!: 2.3s (39.8% of total)

ival-expm1: 1.4s (24.7% of total)

ival-fabs: 534.0ms (9.4% of total)

ival-<=: 424.0ms (7.5% of total)

ival-add!: 422.0ms (7.4% of total)

ival-div!: 385.0ms (6.8% of total)

ival-and: 145.0ms (2.6% of total)

ival-fmin: 64.0ms (1.1% of total)

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

adjust: 14.0ms (0.2% of total)

Bogosity

preprocess39.0ms (0.3%)

Memory

0.4MiB live, 41.7MiB allocated; 13ms 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)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series73.0ms (0.5%)

Memory

-33.7MiB live, 69.3MiB allocated; 24ms 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	a	-inf
5.0ms	eps	inf
4.0ms	eps	0
4.0ms	eps	-inf
3.0ms	b	0

rewrite141.0ms (1.1%)

Memory

-1.8MiB live, 190.4MiB allocated; 11ms 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)))
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eps
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(-.f64 (cosh.f64 (.f64 (+.f64 b a) eps)) (sinh.f64 (.f64 (-.f64 (neg.f64 b) a) eps)))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))))
(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))
(/.f64 (-.f64 (.f64 (.f64 b eps) (.f64 b eps)) (.f64 (.f64 a eps) (.f64 a eps))) (-.f64 (.f64 b eps) (.f64 a eps)))
(/.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)))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b (neg.f64 a)))))
(/.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))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (neg.f64 b)))))
(/.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))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))
(.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)))
(/.f64 (-.f64 (.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (-.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 b eps)))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)))) (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 a eps))))) (-.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 a eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 (.f64 b eps))) #s(literal 3 binary64))) (fma.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (-.f64 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 b eps)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 (.f64 a eps))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (-.f64 (.f64 (neg.f64 (expm1.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 a eps)))) (.f64 (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))) (neg.f64 (expm1.f64 (.f64 a eps)))))))
(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))))
(fma.f64 (cosh.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps)) (.f64 (-.f64 (sinh.f64 (.f64 b eps)) #s(literal 1 binary64)) (expm1.f64 (*.f64 a eps))))
(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))))
(fma.f64 (expm1.f64 (.f64 a eps)) #s(literal -1 binary64) (.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))
(fma.f64 (expm1.f64 (.f64 a eps)) (cosh.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 a eps)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(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))))
(-.f64 (.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 a eps))) (.f64 (neg.f64 (expm1.f64 (*.f64 b eps))) #s(literal -1 binary64)))
(-.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))))
(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))
(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)))
(-.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)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 (neg.f64 a) eps)) (cosh.f64 (.f64 a eps)))) (cosh.f64 (.f64 a eps)))
(*.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))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 a eps)) (cosh.f64 (.f64 a eps)))) (cosh.f64 (.f64 a eps)))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))))
(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 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(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)

eval40.0ms (0.3%)

Memory: 13.6MiB live, 58.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 21 187 to 2 905 computations (86.3% saved)

prune8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB 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

98.5%

Counts

612 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.9%	(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
▶	26.8%	(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
▶	57.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
	41.8%	#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))
▶	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	48.1%	#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)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series70.0ms (0.5%)

Memory

-10.3MiB live, 136.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	5103

Stop Event

1×	iter-limit

Counts

25 → 111

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 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 a eps))))
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(+.f64 b a)
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)
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 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 (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 a eps)))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (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 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64))))))))))))) (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 b eps)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (.f64 eps (exp.f64 (.f64 b eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))))) (.f64 eps (exp.f64 (.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (* (+ b a) eps) (*.f64 b eps))
#s(approx (* (+ b a) eps) (fma.f64 a eps (*.f64 b eps)))
#s(approx (* (- (exp (* 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) (- (exp (* a eps)) 1)) (/.f64 (expm1.f64 (.f64 b eps)) (.f64 a eps)))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/.f64 (-.f64 (fma.f64 a (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps)))) (/.f64 (exp.f64 (.f64 b eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/.f64 (-.f64 (fma.f64 a (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps)))))))))) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps)))) (/.f64 (exp.f64 (*.f64 b eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/.f64 (-.f64 (fma.f64 a (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (.f64 b eps))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps))))))))))))))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps)))))))))) (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 b eps)))) (/.f64 (exp.f64 (.f64 b eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (+ a b) (* a b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 eps (+.f64 a b))))
#s(approx (* (+ b a) eps) (.f64 a (+.f64 eps (/.f64 (.f64 b eps) a))))
#s(approx (* (- (exp (* 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) (- (exp (* a eps)) 1)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 a eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (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 (- (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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/.f64 (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) (expm1.f64 (*.f64 a eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#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 (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 b (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (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 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64))))))))))))) (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) b))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (.f64 eps (exp.f64 (.f64 a eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (.f64 a eps)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))))) (.f64 eps (exp.f64 (.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (* (- (exp (* b eps)) 1) (- (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) (- (exp (* a eps)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 eps (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 a eps)))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (+.f64 #s(literal 1 binary64) (.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 a eps))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (+.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 a eps))) (.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 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))))))
#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) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (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 (- (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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/.f64 (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))) (expm1.f64 (*.f64 a 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 (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (+.f64 a b) (.f64 a (.f64 b eps))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (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))) eps))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (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))) eps))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (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))) eps))
#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 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) (- (exp (* a eps)) 1)) (/.f64 (+.f64 a b) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 b a))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) a)) (fma.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 b a))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) a) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) a)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) a)) (fma.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))))))) (fma.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 b a))))
#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
10.0ms	eps	-inf
5.0ms	a	-inf
4.0ms	b	-inf
4.0ms	a	0
3.0ms	b	inf

rewrite128.0ms (1.0%)

Memory

16.7MiB live, 157.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	205
0	59	199
1	274	199
2	983	199
0	4018	199

Stop Event

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

Counts

25 → 826

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

eval82.0ms (0.6%)

Memory: -31.7MiB live, 107.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 32 770 to 3 444 computations (89.5% saved)

prune11.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	886	2	888
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	889	5	894

Accuracy

100.0%

Counts

894 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	29.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	#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) a) (/.f64 #s(literal 1 binary64) b))))

Compiler

Compiled 162 to 107 computations (34.0% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series19.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1539

Stop Event

1×	iter-limit

Counts

12 → 26

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

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

Calls

9 calls:

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

rewrite109.0ms (0.8%)

Memory

8.0MiB live, 54.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122
0	33	122
1	203	122
2	934	122
0	4048	110

Stop Event

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

Counts

12 → 487

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

eval58.0ms (0.4%)

Memory: -12.6MiB live, 41.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 24 265 to 2 249 computations (90.7% saved)

prune11.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	501	1	502
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	502	5	507

Accuracy

100.0%

Counts

507 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	29.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	#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) b) (/.f64 #s(literal -1 binary64) a))))

Compiler

Compiled 162 to 108 computations (33.3% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series18.0ms (0.1%)

Memory

-38.1MiB live, 10.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1478

Stop Event

1×	iter-limit

Counts

9 → 21

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) b) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ a b) (* a b)) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal -1 binary64) a)
#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))
#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) (/.f64 #s(literal -1 binary64) a))
#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 (/ (* 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 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
1.0ms	b	-inf
1.0ms	a	-inf
1.0ms	a	inf
1.0ms	b	inf
1.0ms	a	0

rewrite105.0ms (0.8%)

Memory

4.1MiB live, 50.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
0	28	72
1	190	72
2	852	72
0	4043	66

Stop Event

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

Counts

9 → 276

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

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

eval26.0ms (0.2%)

Memory: 24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 14 196 to 1 360 computations (90.4% saved)

prune8.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	288	5	293

Accuracy

100.0%

Counts

293 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	29.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
✓	51.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	48.1%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	#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) b) (/.f64 #s(literal -1 binary64) a))))

Compiler

Compiled 162 to 108 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory

-22.4MiB live, 25.0MiB allocated; 1ms collecting garbage

Counts

1 → 1

4 → 2

10 → 1

Calls

Call 1

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

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

Call 2

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

Outputs

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

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

Call 3

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

Outputs

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

Calls

12 calls:

3.0ms	b
3.0ms	a
3.0ms	eps
3.0ms	b
2.0ms	eps

Results

Accuracy	Segments	Branch
48.1%	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))))`
48.1%	1	`eps`
48.1%	1	`a`
48.1%	1	`b`
57.4%	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))))`
84.5%	3	`a`
83.9%	2	`b`
75.5%	3	`eps`
100.0%	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))))`
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`eps`

Compiler

Compiled 389 to 149 computations (61.7% saved)

bsearch11.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.568334329608416e-189	5.731579755498749e-188

Samples

6.0ms

96×

valid

Compiler

Compiled 363 to 271 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 2.0ms (50.0% of total)

ival-expm1: 1.0ms (25.0% of total)

adjust: 0.0ms (0.0% of total)

ival-add!: 0.0ms (0.0% of total)

ival-div!: 0.0ms (0.0% of total)

derivations17.0ms (0.1%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 128 to 32 computations (75.0% saved)

preprocess22.0ms (0.2%)

Memory: 22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 437 to 216 computations (50.6% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze168.0ms (1.3%)

sample12.1s (91.0%)

preprocess39.0ms (0.3%)

sample0.0ms (0.0%)

series73.0ms (0.5%)

rewrite141.0ms (1.1%)

eval40.0ms (0.3%)

prune8.0ms (0.1%)

sample0.0ms (0.0%)

series70.0ms (0.5%)

rewrite128.0ms (1.0%)

eval82.0ms (0.6%)

prune11.0ms (0.1%)

sample0.0ms (0.0%)

series19.0ms (0.1%)

rewrite109.0ms (0.8%)

eval58.0ms (0.4%)

prune11.0ms (0.1%)

sample0.0ms (0.0%)

series18.0ms (0.1%)

rewrite105.0ms (0.8%)

eval26.0ms (0.2%)

prune8.0ms (0.1%)

regimes28.0ms (0.2%)

bsearch11.0ms (0.1%)

derivations17.0ms (0.1%)

preprocess22.0ms (0.2%)

end0.0ms (0.0%)

Profiling