Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

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

analyze211.0ms (1.4%)

Memory

-3.5MiB live, 369.4MiB allocated; 62ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample13.6s (90.8%)

Memory

374.8MiB live, 15 834.0MiB allocated; 5.8s collecting garbage

Samples

9.2s	63 638×	0	invalid
1.2s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.8s

ival-mult!: 3.4s (43.2% of total)

ival-expm1: 1.9s (23.9% of total)

ival-fabs: 995.0ms (12.8% of total)

ival-add!: 525.0ms (6.8% of total)

ival-div!: 395.0ms (5.1% of total)

ival-<=: 390.0ms (5% of total)

ival-and: 141.0ms (1.8% of total)

ival-fmin: 64.0ms (0.8% of total)

ival-assert: 29.0ms (0.4% of total)

adjust: 13.0ms (0.2% of total)

Bogosity

preprocess51.0ms (0.3%)

Memory

-14.4MiB live, 70.5MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

0.0%

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

Symmetry

(sort a b)

Compiler

Compiled 38 to 34 computations (10.5% saved)

series96.0ms (0.6%)

Memory

5.8MiB live, 101.3MiB allocated; 74ms 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	Expression
15.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
5.0ms	eps	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
4.0ms	eps	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
4.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
4.0ms	eps	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))

rewrite59.0ms (0.4%)

Memory

18.5MiB live, 65.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	30	99
1	141	99
0	1083	81
1	3040	81

Stop Event

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

Counts

17 → 130

Calls

Call 1

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

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

eval19.0ms (0.1%)

Memory: -15.9MiB live, 28.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 158 to 1 208 computations (61.7% saved)

prune6.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	5	230

Accuracy

98.2%

Counts

230 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.3%	(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
▶	32.9%	(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
▶	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
▶	50.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 174 to 174 computations (0% saved)

series108.0ms (0.7%)

Memory

-18.7MiB live, 79.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	5103

Stop Event

1×	iter-limit

Counts

25 → 111

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) eps) (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1)))
10.0ms	eps	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) eps) (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1)))
4.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) eps) (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1)))
4.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) eps) (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1)))
4.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) eps) (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* a eps)) 1)) (/ eps (- (exp (* b eps)) 1)))

rewrite209.0ms (1.4%)

Memory

29.1MiB live, 163.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	205
0	59	199
1	273	199
2	1720	199
0	8618	199
1	29756	199

Stop Event

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

Counts

25 → 612

Calls

Call 1

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

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

eval81.0ms (0.5%)

Memory: 4.0MiB live, 100.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 9 150 to 2 527 computations (72.4% saved)

prune13.0ms (0.1%)

Memory

-17.0MiB live, 29.8MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	673	3	676
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	675	6	681

Accuracy

100.0%

Counts

681 → 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))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
▶	30.9%	#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)))
✓	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))

Compiler

Compiled 130 to 128 computations (1.5% saved)

series23.0ms (0.2%)

Memory

37.7MiB live, 37.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1636

Stop Event

1×	iter-limit

Counts

16 → 35

Calls

Call 1

Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(/.f64 a b)
a
b
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 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 (+ 1 (/ a b)) #s(literal 1 binary64))
#s(approx (+ 1 (/ a b)) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ a b) (/.f64 a b))
#s(approx a a)
#s(approx (+ 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 (+ 1 (/ a b)) (*.f64 a (+.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) (+.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 (+ 1 (/ a b)) (/.f64 (+.f64 a b) 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	Expression
3.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (+ 1 (/ a b)) a) (+ 1 (/ a b)) 1 (/ a b) a b (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (+ b a))
2.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (+ 1 (/ a b)) a) (+ 1 (/ a b)) 1 (/ a b) a b (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (+ b a))
2.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (+ 1 (/ a b)) a) (+ 1 (/ a b)) 1 (/ a b) a b (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (+ b a))
2.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (+ 1 (/ a b)) a) (+ 1 (/ a b)) 1 (/ a b) a b (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (+ b a))
2.0ms	a	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (+ 1 (/ a b)) a) (+ 1 (/ a b)) 1 (/ a b) a b (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) a) b) (/ (+ b a) a) (+ b a))

rewrite190.0ms (1.3%)

Memory

6.7MiB live, 189.7MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	40	171
1	232	171
2	1856	171
0	8061	153
1	26221	153

Stop Event

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

Counts

16 → 450

Calls

Call 1

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

eval42.0ms (0.3%)

Memory: 4.8MiB live, 45.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 462 to 1 579 computations (54.4% saved)

prune22.0ms (0.1%)

Memory

-47.2MiB live, 13.0MiB allocated; 15ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	328	3	331
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	329	8	337

Accuracy

100.0%

Counts

337 → 8

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))
▶	50.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
▶	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))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	30.9%	#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)))
✓	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
▶	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))

Compiler

Compiled 174 to 171 computations (1.7% saved)

series22.0ms (0.1%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1629

Stop Event

1×	iter-limit

Counts

16 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) a b -1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ b a) -1) b) (- (/ b a) -1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ a b) a) b) (/ (+ a b) a) (+ a b))
3.0ms	b	@	-inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) a b -1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ b a) -1) b) (- (/ b a) -1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ a b) a) b) (/ (+ a b) a) (+ a b))
2.0ms	b	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) a b -1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ b a) -1) b) (- (/ b a) -1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ a b) a) b) (/ (+ a b) a) (+ a b))
2.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) a b -1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ b a) -1) b) (- (/ b a) -1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ a b) a) b) (/ (+ a b) a) (+ a b))
2.0ms	b	@	0	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) a b -1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ b a) -1) b) (- (/ b a) -1) (/ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ a b) a) b) (/ (+ a b) a) (+ a b))

rewrite67.0ms (0.4%)

Memory

-2.5MiB live, 42.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	175
0	41	175
1	235	175
0	1953	157
1	5585	157

Stop Event

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

Counts

16 → 114

Calls

Call 1

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

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

eval21.0ms (0.1%)

Memory: -22.7MiB live, 21.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 529 to 658 computations (57% saved)

prune6.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	132	8	140

Accuracy

100.0%

Counts

140 → 8

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))
✓	50.5%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
✓	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))
✓	60.3%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
✓	30.9%	#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)))
✓	47.4%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
✓	50.7%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
✓	99.8%	#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))

Compiler

Compiled 292 to 245 computations (16.1% saved)

regimes13.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

12 → 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))
#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 #s(approx (+ a b) b) a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 b a) eps)) (expm1.f64 (.f64 a eps))) (/.f64 eps (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`eps`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes7.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

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

Outputs

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

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

Calls

4 calls:

2.0ms	eps
2.0ms	a
2.0ms	b
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
60.3%	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))))`
80.8%	3	`a`
81.0%	2	`b`
78.5%	4	`eps`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory

-38.0MiB live, 8.0MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

Calls

4 calls:

6.0ms	a
1.0ms	eps
1.0ms	b
1.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
50.7%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
50.7%	1	`eps`
50.7%	1	`a`
50.7%	1	`b`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

bsearch15.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.464611302406176e-190	2.4652947069106346e-187

Samples

8.0ms

128×

valid

Compiler

Compiled 347 to 355 computations (-2.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 3.0ms (55.7% of total)

ival-expm1: 2.0ms (37.1% of total)

ival-div!: 1.0ms (18.6% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations29.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 60 to 33 computations (45% saved)

preprocess59.0ms (0.4%)

Memory: -8.3MiB live, 45.8MiB allocated; 10ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 254 to 197 computations (22.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze211.0ms (1.4%)

sample13.6s (90.8%)

preprocess51.0ms (0.3%)

series96.0ms (0.6%)

rewrite59.0ms (0.4%)

eval19.0ms (0.1%)

prune6.0ms (0%)

series108.0ms (0.7%)

rewrite209.0ms (1.4%)

eval81.0ms (0.5%)

prune13.0ms (0.1%)

series23.0ms (0.2%)

rewrite190.0ms (1.3%)

eval42.0ms (0.3%)

prune22.0ms (0.1%)

series22.0ms (0.1%)

rewrite67.0ms (0.4%)

eval21.0ms (0.1%)

prune6.0ms (0%)

regimes13.0ms (0.1%)

regimes7.0ms (0%)

regimes9.0ms (0.1%)

bsearch15.0ms (0.1%)

derivations29.0ms (0.2%)

preprocess59.0ms (0.4%)

end0.0ms (0%)

Profiling