Metrics for expq3 (problem 3.4.2)

start0.0ms (0.0%)

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

analyze152.0ms (1.1%)

Memory

1.7MiB live, 189.8MiB allocated; 73ms 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)

sample12.6s (88.6%)

Memory

273.0MiB live, 15 222.4MiB allocated; 5.6s collecting garbage

Samples

7.3s	63 389×	0	invalid
2.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.3s

ival-mult!: 2.2s (35.4% of total)

ival-expm1: 1.9s (30.1% of total)

ival-fabs: 646.0ms (10.3% of total)

ival-div!: 449.0ms (7.2% of total)

ival-<=: 408.0ms (6.5% of total)

ival-add!: 395.0ms (6.3% of total)

ival-and: 143.0ms (2.3% of total)

ival-fmin: 75.0ms (1.2% of total)

ival-assert: 26.0ms (0.4% of total)

adjust: 13.0ms (0.2% of total)

Bogosity

preprocess37.0ms (0.3%)

Memory

-46.0MiB live, 54.3MiB allocated; 18ms 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

0.4MiB live, 0.4MiB 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)

series79.0ms (0.6%)

Memory

14.1MiB live, 103.1MiB allocated; 13ms 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
26.0ms	eps	inf
4.0ms	eps	0
4.0ms	eps	-inf
4.0ms	b	0
3.0ms	a	0

rewrite173.0ms (1.2%)

Memory

-9.2MiB live, 278.9MiB allocated; 48ms 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)

eval44.0ms (0.3%)

Memory: 20.6MiB live, 109.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 21 187 to 2 905 computations (86.3% saved)

prune6.0ms (0.0%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	607	4	611
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	608	4	612

Accuracy

99.2%

Counts

612 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	47.1%	#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))
▶	53.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	47.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 134 to 91 computations (32.1% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2

Outputs
#s(literal 1 binary64)
#s(literal 1/2 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)

series80.0ms (0.6%)

Memory

-13.3MiB live, 172.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	4879

Stop Event

1×	iter-limit

Counts

24 → 96

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

Calls

9 calls:

Time	Variable	Point
13.0ms	eps	0
12.0ms	a	inf
5.0ms	a	0
4.0ms	eps	-inf
4.0ms	a	-inf

rewrite188.0ms (1.3%)

Memory

-22.2MiB live, 275.4MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	253
0	52	253
1	247	239
2	1005	239
0	4037	220

Stop Event

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

Counts

24 → 533

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))
(/.f64 #s(literal 1 binary64) a)
#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))
(/.f64 #s(literal 1 binary64) b)
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))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b)
(+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))
(/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (*.f64 a eps)))
(.f64 eps (exp.f64 (.f64 a eps)))
eps
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(expm1.f64 (*.f64 a eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
#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)
(*.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))
(*.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) #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))
(pow.f64 a #s(literal -1 binary64))
(/.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 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))
(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))))
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(/.f64 (fma.f64 b a (.f64 (/.f64 b a) (.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 a (.f64 (neg.f64 a) b) (.f64 (neg.f64 b) (.f64 b a))) (.f64 (.f64 b a) (.f64 (neg.f64 a) b)))
(/.f64 (-.f64 (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a))) (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)))) (-.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a))))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (neg.f64 (/.f64 b (.f64 b a))) (neg.f64 (/.f64 b (.f64 b a))))) (+.f64 (/.f64 a (.f64 b a)) (neg.f64 (/.f64 b (.f64 b a)))))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 (neg.f64 b) (.f64 b a)) (/.f64 (neg.f64 b) (.f64 b a)))) (+.f64 (/.f64 a (.f64 b a)) (/.f64 (neg.f64 b) (.f64 b a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 a (.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a)) (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 b (.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)) (fma.f64 (neg.f64 (/.f64 b (.f64 b a))) (neg.f64 (/.f64 b (.f64 b a))) (.f64 (/.f64 a (.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b) (.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) (.f64 b a)) (/.f64 (neg.f64 b) (.f64 b a)) (.f64 (/.f64 a (.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a))))))
(/.f64 (fma.f64 (/.f64 b b) a (.f64 a (/.f64 a b))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 b b) b (.f64 a (/.f64 a a))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 b b) (.f64 (neg.f64 a) b) (.f64 a (neg.f64 a))) (.f64 a (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 b b) (.f64 b a) (.f64 a a)) (.f64 a (.f64 b a)))
(/.f64 (fma.f64 (/.f64 b a) a (.f64 b (/.f64 a b))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 b a) b (.f64 b (/.f64 a a))) (.f64 b b))
(/.f64 (fma.f64 (/.f64 b a) (.f64 (neg.f64 a) b) (.f64 (neg.f64 a) b)) (.f64 b (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 b a) (.f64 b a) (.f64 b a)) (.f64 b (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 a) b (.f64 (.f64 (neg.f64 a) b) (/.f64 a b))) (.f64 (.f64 (neg.f64 a) b) a))
(/.f64 (fma.f64 (neg.f64 b) b (.f64 (.f64 (neg.f64 a) b) (/.f64 a a))) (.f64 (.f64 (neg.f64 a) b) b))
(/.f64 (fma.f64 (neg.f64 b) (.f64 (neg.f64 a) b) (.f64 (.f64 (neg.f64 a) b) (neg.f64 a))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 b a) (.f64 (.f64 (neg.f64 a) b) a)) (.f64 (.f64 (neg.f64 a) b) (.f64 b a)))
(/.f64 (fma.f64 b a (.f64 (.f64 b a) (/.f64 a b))) (.f64 (.f64 b a) a))
(/.f64 (fma.f64 b b (.f64 (.f64 b a) (/.f64 a a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 b (.f64 (neg.f64 a) b) (.f64 (.f64 b a) (neg.f64 a))) (.f64 (.f64 b a) (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 b (.f64 b a) (.f64 (.f64 b a) a)) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 (/.f64 a b) a (.f64 a (/.f64 b b))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 a b) b (.f64 a (/.f64 b a))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 a b) (.f64 (neg.f64 a) b) (.f64 (neg.f64 a) b)) (.f64 a (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 a b) (.f64 b a) (.f64 b a)) (.f64 a (.f64 b a)))
(/.f64 (fma.f64 (/.f64 a a) a (.f64 b (/.f64 b b))) (.f64 b a))
(/.f64 (fma.f64 (/.f64 a a) b (.f64 b (/.f64 b a))) (.f64 b b))
(/.f64 (fma.f64 (/.f64 a a) (.f64 (neg.f64 a) b) (.f64 b (neg.f64 b))) (.f64 b (.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 a a) (.f64 b a) (.f64 b b)) (.f64 b (.f64 b a)))
(/.f64 (fma.f64 (neg.f64 a) a (.f64 (.f64 (neg.f64 a) b) (/.f64 b b))) (.f64 (.f64 (neg.f64 a) b) a))
(/.f64 (fma.f64 (neg.f64 a) b (.f64 (.f64 (neg.f64 a) b) (/.f64 b a))) (.f64 (.f64 (neg.f64 a) b) b))
(/.f64 (fma.f64 (neg.f64 a) (.f64 (neg.f64 a) b) (.f64 (.f64 (neg.f64 a) b) (neg.f64 b))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (fma.f64 (neg.f64 a) (.f64 b a) (.f64 (.f64 (neg.f64 a) b) b)) (.f64 (.f64 (neg.f64 a) b) (.f64 b a)))
(/.f64 (fma.f64 a a (.f64 (.f64 b a) (/.f64 b b))) (.f64 (.f64 b a) a))
(/.f64 (fma.f64 b a (.f64 (.f64 b a) (/.f64 b a))) (.f64 (.f64 b a) b))
(/.f64 (fma.f64 a (.f64 (neg.f64 a) b) (.f64 (.f64 b a) (neg.f64 b))) (.f64 (.f64 b a) (.f64 (neg.f64 a) b)))
(/.f64 (-.f64 (.f64 (/.f64 a b) (.f64 b a)) (.f64 (neg.f64 a) b)) (.f64 a (*.f64 b a)))
(/.f64 (-.f64 (.f64 (/.f64 a a) (.f64 b a)) (.f64 b (neg.f64 b))) (.f64 b (*.f64 b a)))
(/.f64 (-.f64 (.f64 (neg.f64 a) (.f64 b a)) (.f64 (.f64 (neg.f64 a) b) (neg.f64 b))) (.f64 (.f64 (neg.f64 a) b) (*.f64 b a)))
(/.f64 (-.f64 (.f64 a (.f64 b a)) (.f64 (.f64 b a) (neg.f64 b))) (.f64 (.f64 a a) (*.f64 b b)))
(/.f64 (.f64 (-.f64 (neg.f64 b) a) #s(literal -1 binary64)) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)) (.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)) (.f64 (neg.f64 a) b))
(/.f64 (.f64 (+.f64 b a) #s(literal -1 binary64)) (.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (.f64 (+.f64 b a) #s(literal 1 binary64))) (.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) b)) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (/.f64 a (.f64 b a)) (.f64 b a) b)) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (fma.f64 a (.f64 b a) (.f64 b (.f64 b a)))) (neg.f64 (.f64 (.f64 a a) (.f64 b b))))
(/.f64 (neg.f64 (fma.f64 a (.f64 b a) (.f64 (.f64 b a) b))) (neg.f64 (.f64 (.f64 a a) (.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b a) a))) (neg.f64 (neg.f64 b)))
(/.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) (.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) (.f64 b a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (fma.f64 (/.f64 a (.f64 b a)) (.f64 b a) b) (*.f64 b a))
(/.f64 (fma.f64 a (.f64 b a) (.f64 b (.f64 b a))) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (-.f64 (.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a))) (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a)))) (-.f64 (/.f64 a (.f64 b a)) (/.f64 b (.f64 b a))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 a (.f64 b a)) (/.f64 a (.f64 b a)) (-.f64 (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a))) (.f64 (/.f64 a (.f64 b a)) (/.f64 b (.f64 b a))))))
(/.f64 (fma.f64 a (.f64 b a) (.f64 (.f64 b a) b)) (.f64 (.f64 a a) (.f64 b b)))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b))
(/.f64 (/.f64 (+.f64 b a) a) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b a) (.f64 (+.f64 b a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b a) (fma.f64 (/.f64 a (.f64 b a)) (*.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (fma.f64 a (.f64 b a) (.f64 b (.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (fma.f64 a (.f64 b a) (.f64 (.f64 b a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (neg.f64 (/.f64 (+.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 a) b)) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (-.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))
(neg.f64 (-.f64 (neg.f64 (/.f64 b (.f64 b a))) (/.f64 a (.f64 b a))))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 b a)))
(fma.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (neg.f64 b)) (*.f64 b a)))
(fma.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 b a)))
(fma.f64 (/.f64 b b) (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b) (/.f64 a (*.f64 b a)))
(fma.f64 (/.f64 a a) (/.f64 #s(literal 1 binary64) b) (/.f64 (neg.f64 (neg.f64 b)) (*.f64 b a)))
(fma.f64 (/.f64 a a) (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a)))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (.f64 b a)) (/.f64 (neg.f64 (neg.f64 b)) (.f64 b a)))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (.f64 b a)) (/.f64 b (.f64 b a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (.f64 b a)) (/.f64 a (.f64 b a)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (.f64 b a)) (/.f64 a (.f64 b a)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (.f64 b a)) (/.f64 (neg.f64 (neg.f64 b)) (.f64 b a)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (.f64 b a)) (/.f64 b (.f64 b a)))
(-.f64 (/.f64 b (neg.f64 (.f64 (neg.f64 a) b))) (/.f64 (neg.f64 a) (neg.f64 (.f64 (neg.f64 a) b))))
(-.f64 (/.f64 a (neg.f64 (.f64 (neg.f64 a) b))) (/.f64 (neg.f64 b) (neg.f64 (.f64 (neg.f64 a) b))))
(-.f64 (/.f64 b (.f64 b a)) (neg.f64 (/.f64 a (.f64 b a))))
(-.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 (neg.f64 a) b)))
(-.f64 (/.f64 b (.f64 b a)) (/.f64 (neg.f64 a) (.f64 b a)))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (/.f64 (neg.f64 b) a) b))
(-.f64 (/.f64 a (.f64 b a)) (neg.f64 (/.f64 b (.f64 b a))))
(-.f64 (/.f64 a (.f64 b a)) (/.f64 (neg.f64 b) (.f64 b a)))
(+.f64 (/.f64 (.f64 (/.f64 a (.f64 b a)) (.f64 b a)) (.f64 b a)) (/.f64 b (*.f64 b a)))
(+.f64 (/.f64 (.f64 a (.f64 b a)) (.f64 (.f64 a a) (.f64 b b))) (/.f64 (.f64 b (.f64 b a)) (.f64 (.f64 a a) (.f64 b b))))
(+.f64 (/.f64 (.f64 a (.f64 b a)) (.f64 (.f64 a a) (.f64 b b))) (/.f64 (.f64 (.f64 b a) b) (.f64 (.f64 a a) (.f64 b b))))
(+.f64 (/.f64 b (neg.f64 (.f64 (neg.f64 a) b))) (/.f64 a (neg.f64 (.f64 (neg.f64 a) b))))
(+.f64 (/.f64 a (neg.f64 (.f64 (neg.f64 a) b))) (/.f64 b (neg.f64 (.f64 (neg.f64 a) b))))
(+.f64 (/.f64 a (neg.f64 (.f64 (neg.f64 a) b))) (/.f64 b (.f64 b a)))
(+.f64 (/.f64 b (.f64 b a)) (/.f64 a (.f64 b a)))
(+.f64 (/.f64 a (.f64 b a)) (/.f64 (neg.f64 (neg.f64 b)) (.f64 b a)))
(+.f64 (/.f64 a (.f64 b a)) (/.f64 b (.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(*.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 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))) (-.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (.f64 b b) (.f64 (neg.f64 a) (neg.f64 a))) (+.f64 b (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) (.f64 a (neg.f64 (neg.f64 b))))))
(/.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 (neg.f64 a) b))))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 b a))
(/.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 (+.f64 (.f64 b b) (.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (.f64 a a) (.f64 b 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 b a))))
(neg.f64 (-.f64 (neg.f64 a) b))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 (neg.f64 (neg.f64 b))))
(-.f64 a (neg.f64 b))
(+.f64 b a)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
(*.f64 b a)
(*.f64 a b)

eval83.0ms (0.6%)

Memory: 44.1MiB live, 183.6MiB allocated; 24ms collecting garbage
Compiler: Compiled 32 890 to 3 262 computations (90.1% saved)

prune14.0ms (0.1%)

Memory

-4.0MiB live, 41.2MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	610	3	613
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	611	6	617

Accuracy

100.0%

Counts

617 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
✓	61.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	29.9%	#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)))
✓	53.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	47.8%	#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 194 to 128 computations (34.0% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB 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)

series23.0ms (0.2%)

Memory

3.1MiB live, 49.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1592

Stop Event

1×	iter-limit

Counts

16 → 31

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* a b) (*.f64 a b))
#s(approx (/ (+ b a) a) (/.f64 b a))
#s(approx (/ (+ b a) a) (/.f64 (+.f64 a 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 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 (/ (+ b a) a) #s(literal 1 binary64))
#s(approx (/ (+ b a) 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 (/ (+ b a) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (+ 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	b	0
2.0ms	a	-inf
2.0ms	b	-inf
2.0ms	b	inf
2.0ms	a	inf

rewrite179.0ms (1.3%)

Memory

-5.5MiB live, 319.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	169
0	40	169
1	240	169
2	1072	169
0	4036	151

Stop Event

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

Counts

16 → 1 403

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

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 b a) (*.f64 b a))))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(.f64 (/.f64 (.f64 (+.f64 b a) #s(literal 1 binary64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (-.f64 (neg.f64 a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (/.f64 (-.f64 (neg.f64 a) b) b) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 a) b) b) (/.f64 #s(literal -1 binary64) a))
(.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 (+.f64 b a) b))
(*.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 #s(literal 1 binary64) b))) (/.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 (-.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 b a)) (/.f64 (+.f64 b a) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (+.f64 b a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 (neg.f64 a) b) a) (/.f64 #s(literal -1 binary64) b))
(.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (.f64 b a)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) b))
(.f64 (/.f64 (+.f64 b a) (.f64 b a)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 b a)))
(.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(/.f64 (-.f64 (.f64 (/.f64 b (.f64 b a)) (/.f64 b (.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
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eval159.0ms (1.1%)

Memory: -9.7MiB live, 229.4MiB allocated; 47ms collecting garbage
Compiler: Compiled 40 665 to 3 707 computations (90.9% saved)

prune16.0ms (0.1%)

Memory

0.6MiB live, 46.2MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	875	2	877
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	877	6	883

Accuracy

100.0%

Counts

883 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))
✓	61.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	29.9%	#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)))
✓	53.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	47.8%	#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 194 to 130 computations (33.0% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB 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)

series28.0ms (0.2%)

Memory

15.6MiB live, 66.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1531

Stop Event

1×	iter-limit

Counts

13 → 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)
#s(literal -1 binary64)
b
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)

Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps)))) (.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx a a)
#s(approx (- (/ b a) -1) (/.f64 b a))
#s(approx (- (/ b a) -1) (/.f64 (+.f64 a 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 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 (- (/ b a) -1) #s(literal 1 binary64))
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 b (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))) (.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps)))) (.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ -1 b) (/.f64 #s(literal -1 binary64) b))
#s(approx b b)
#s(approx (- (/ b a) -1) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b))))) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps)))))
#s(approx (/ (* 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	b	-inf
2.0ms	a	-inf
2.0ms	b	inf
2.0ms	a	inf
1.0ms	b	0

rewrite145.0ms (1.0%)

Memory

21.3MiB live, 211.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	119
0	35	119
1	225	119
2	994	119
0	4192	107

Stop Event

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

Counts

13 → 629

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

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

eval68.0ms (0.5%)

Memory: 1.1MiB live, 91.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 18 716 to 1 854 computations (90.1% saved)

prune10.0ms (0.1%)

Memory

-22.6MiB live, 23.4MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	395	6	401

Accuracy

100.0%

Counts

401 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))
✓	61.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	29.9%	#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)))
✓	53.6%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	47.8%	#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 194 to 130 computations (33.0% saved)

regimes39.0ms (0.3%)

Memory

-3.5MiB live, 90.4MiB allocated; 17ms 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) 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 (/.f64 b a) #s(literal -1 binary64)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) 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 (+.f64 b a) a) 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))
(/.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) a) (/.f64 #s(literal -1 binary64) b))))

Calls

12 calls:

10.0ms	a
5.0ms	eps
4.0ms	eps
4.0ms	b
2.0ms	eps

Results

Accuracy	Segments	Branch
47.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
47.8%	1	`eps`
47.8%	1	`a`
47.8%	1	`b`
61.3%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
84.3%	3	`a`
86.2%	2	`b`
76.5%	4	`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 417 to 147 computations (64.7% saved)

bsearch10.0ms (0.1%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1987984145420864e-208	3.944348684013815e-208

Samples

5.0ms

80×

valid

Compiler

Compiled 307 to 229 computations (25.4% saved)

Precisions

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

ival-mult!: 2.0ms (56.6% of total)

ival-expm1: 1.0ms (28.3% 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)

derivations21.0ms (0.2%)

Memory

-0.9MiB live, 44.8MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 128 to 32 computations (75.0% saved)

preprocess66.0ms (0.5%)

Memory: -29.0MiB live, 82.3MiB allocated; 104ms collecting garbage
Compiler: Compiled 437 to 215 computations (50.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze152.0ms (1.1%)

sample12.6s (88.6%)

preprocess37.0ms (0.3%)

sample0.0ms (0.0%)

series79.0ms (0.6%)

rewrite173.0ms (1.2%)

eval44.0ms (0.3%)

prune6.0ms (0.0%)

sample0.0ms (0.0%)

series80.0ms (0.6%)

rewrite188.0ms (1.3%)

eval83.0ms (0.6%)

prune14.0ms (0.1%)

sample0.0ms (0.0%)

series23.0ms (0.2%)

rewrite179.0ms (1.3%)

eval159.0ms (1.1%)

prune16.0ms (0.1%)

sample0.0ms (0.0%)

series28.0ms (0.2%)

rewrite145.0ms (1.0%)

eval68.0ms (0.5%)

prune10.0ms (0.1%)

regimes39.0ms (0.3%)

bsearch10.0ms (0.1%)

derivations21.0ms (0.2%)

preprocess66.0ms (0.5%)

end0.0ms (0.0%)

Profiling