expq3 (problem 3.4.2)

Time bar (total: 15.5s)

start0.0ms (0%)

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

analyze223.0ms (1.4%)

Memory
-12.3MiB live, 256.5MiB allocated; 174ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample13.3s (85.8%)

Memory
270.5MiB live, 19 835.3MiB allocated; 6.7s collecting garbage
Samples
8.4s63 647×0invalid
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.3s
ival-mult!: 2.7s (43.6% of total)
ival-expm1: 1.4s (22.6% of total)
ival-fabs: 695.0ms (11.1% of total)
ival-<=: 435.0ms (6.9% of total)
ival-div!: 431.0ms (6.9% of total)
ival-add!: 314.0ms (5% of total)
ival-and: 131.0ms (2.1% of total)
ival-fmin: 68.0ms (1.1% of total)
ival-assert: 30.0ms (0.5% of total)
adjust: 13.0ms (0.2% of total)
Bogosity

preprocess36.0ms (0.2%)

Memory
-8.1MiB live, 82.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088257
1401250
21477250
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Symmetry

(sort a b)

Compiler

Compiled 48 to 34 computations (29.2% saved)

series102.0ms (0.7%)

Memory
-8.1MiB live, 186.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05963707
Stop Event
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:

TimeVariablePoint
13.0ms
eps
-inf
6.0ms
eps
inf
4.0ms
eps
0
4.0ms
b
0
4.0ms
b
inf

rewrite153.0ms (1%)

Memory
21.6MiB live, 211.0MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
03099
18299
229599
3172799
0473881
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 527
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)
Outputs
(*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 b eps))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 b eps))))
(*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))) (/.f64 eps (expm1.f64 (*.f64 b eps))))
(*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))))
(*.f64 (neg.f64 eps) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(*.f64 (neg.f64 eps) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(*.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))))
(*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))))
(*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))))
(*.f64 eps (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(/.f64 (neg.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 b eps))))
(/.f64 (neg.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps))) (expm1.f64 (*.f64 a eps)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))) (expm1.f64 (*.f64 a eps)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(/.f64 (neg.f64 (*.f64 (neg.f64 eps) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))))) (expm1.f64 (*.f64 a eps)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))) (expm1.f64 (*.f64 a eps)))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))
(/.f64 (*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (expm1.f64 (*.f64 b eps)))
(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (expm1.f64 (*.f64 a eps)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 (neg.f64 eps) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal -1 binary64)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)))) (neg.f64 (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps))))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 (expm1.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 a eps)))
(/.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) (neg.f64 (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (neg.f64 (expm1.f64 (*.f64 b eps))) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))
(/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(neg.f64 (*.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(neg.f64 (*.f64 (neg.f64 eps) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps)))
(fma.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))))
(fma.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps)))
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))))
(+.f64 (*.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (/.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))))
(*.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 eps))
(*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))
(*.f64 eps (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))
(*.f64 eps (expm1.f64 (*.f64 (+.f64 b a) eps)))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))))
(fma.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)))
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(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 b eps)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 b eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 b eps))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(expm1.f64 (/.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 2 binary64)))
(expm1.f64 (/.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (neg.f64 (*.f64 (neg.f64 b) eps)))
(expm1.f64 (*.f64 b eps))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 b eps))) (sinh.f64 (*.f64 (neg.f64 b) eps)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b eps))))
(-.f64 (sinh.f64 (*.f64 b eps)) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 b eps))))
(-.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (*.f64 b eps)) (+.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (*.f64 b eps)) (neg.f64 (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(-.f64 (expm1.f64 (*.f64 b eps)) #s(literal 0 binary64))
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 b eps))) (sinh.f64 (*.f64 b eps)))
(+.f64 (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 b eps)))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 b eps)))
(+.f64 (sinh.f64 (*.f64 b eps)) (+.f64 (cosh.f64 (*.f64 b eps)) #s(literal -1 binary64)))
(+.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (cosh.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))
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 eps (+.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 eps) b)
(pow.f64 (exp.f64 b) eps)
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 b) eps)))
(neg.f64 (neg.f64 (exp.f64 (*.f64 b eps))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 b eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 (*.f64 (neg.f64 b) eps))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 b eps)))
(sqrt.f64 (exp.f64 (*.f64 eps (+.f64 b b))))
(-.f64 (sinh.f64 (*.f64 b eps)) (neg.f64 (cosh.f64 (*.f64 b eps))))
(-.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 (neg.f64 b) eps)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 b eps))) (sinh.f64 (*.f64 b eps))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 b eps))))
(fabs.f64 (exp.f64 (*.f64 b eps)))
(exp.f64 (/.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 b) eps)))
(exp.f64 (*.f64 b eps))
(+.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))
(+.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (neg.f64 (*.f64 (neg.f64 b) eps))))
(+.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))
(*.f64 b eps)
(*.f64 eps b)

eval41.0ms (0.3%)

Memory
15.6MiB live, 108.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 21 289 to 2 832 computations (86.7% saved)

prune11.0ms (0.1%)

Memory
-23.5MiB live, 22.0MiB allocated; 7ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New6215626
Fresh000
Picked101
Done000
Total6225627
Accuracy
97.4%
Counts
627 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.5%
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (neg.f64 (expm1.f64 (*.f64 a eps))))
26.5%
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) 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)))
43.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Compiler

Compiled 252 to 178 computations (29.4% saved)

series106.0ms (0.7%)

Memory
22.2MiB live, 258.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010216579
Stop Event
iter-limit
Counts
27 → 133
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 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))
(*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
eps
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(+.f64 b a)
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))
(*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(neg.f64 eps)
(neg.f64 (expm1.f64 (*.f64 a eps)))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (* a b) (*.f64 a b))
#s(approx (* (/ eps (- (exp (* a eps)) 1)) (- (exp (* (+ b a) eps)) 1)) (/.f64 (expm1.f64 (*.f64 b eps)) a))
#s(approx (* (/ eps (- (exp (* a eps)) 1)) (- (exp (* (+ b a) eps)) 1)) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (-.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (expm1.f64 (*.f64 b eps))))))) #s(literal 1 binary64)) a))
#s(approx (* (/ eps (- (exp (* a eps)) 1)) (- (exp (* (+ b a) eps)) 1)) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (expm1.f64 (*.f64 b eps))))))))) (*.f64 eps (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (expm1.f64 (*.f64 b eps))))))) #s(literal 1 binary64)) a))
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#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (fma.f64 #s(literal -1 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (expm1.f64 (*.f64 a eps))))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (fma.f64 #s(literal -1 binary64) (*.f64 eps (expm1.f64 (*.f64 a eps))) (*.f64 b (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (*.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))))))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (fma.f64 #s(literal -1 binary64) (*.f64 eps (expm1.f64 (*.f64 a eps))) (*.f64 b (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 a eps)))))))))))
#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))))
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#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 eps)) 1)) (- (exp (* (+ b a) eps)) 1)) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (expm1.f64 (*.f64 a eps))))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b)))))
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#s(approx (/ (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* a eps)) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))))
#s(approx (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (expm1.f64 (*.f64 b eps)))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b)))))))
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#s(approx (/ (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* a eps)) 1))) (fma.f64 #s(literal -1 binary64) (*.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))))
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#s(approx (/ (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* a eps)) 1))) (fma.f64 eps (fma.f64 #s(literal -1 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 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.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 -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 a b)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 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 -1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.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 -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 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 (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 a b)) b)))
#s(approx (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b)))))
#s(approx (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))
#s(approx (/ (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))))))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a b))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 a b) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 a b) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64)))))))))
#s(approx (* (neg eps) (- (exp (* (+ b a) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 a 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 -1/6 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 4 binary64)))))))))))
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)) a)))
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.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))))) a)))
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) a)))
Calls

9 calls:

TimeVariablePoint
11.0ms
b
inf
10.0ms
a
-inf
9.0ms
b
-inf
6.0ms
eps
-inf
6.0ms
eps
0

rewrite160.0ms (1%)

Memory
32.7MiB live, 252.4MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040214
063206
1176206
2609206
33400206
04017206
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 820
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 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))
(*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
eps
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(+.f64 b a)
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))
(*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))
(neg.f64 eps)
(neg.f64 (expm1.f64 (*.f64 a 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 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (-.f64 (neg.f64 a) b))
(*.f64 (fma.f64 #s(literal 1 binary64) a b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b a) a) b)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal 1 binary64) b)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 b a)) (*.f64 (neg.f64 a) b))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) a)
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) a b) b) a)
(/.f64 (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 b a))
(/.f64 (/.f64 (-.f64 (neg.f64 a) b) b) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64)) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) b) (neg.f64 a)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a) a) (*.f64 b a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64)) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (neg.f64 a) b) (neg.f64 b)) (*.f64 (neg.f64 a) b))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) (neg.f64 a)) (*.f64 b a))
(/.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 a b) a)) (*.f64 a a))
(/.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 #s(literal 1 binary64) a)) (*.f64 b a))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) a)) (*.f64 a (*.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 (/.f64 a b) b)) (*.f64 b a))
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal 1 binary64) b)) (*.f64 b b))
(/.f64 (fma.f64 (neg.f64 a) b (*.f64 (/.f64 a b) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) a))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) b))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (*.f64 b a) a) b))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b a) (*.f64 a (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))
(/.f64 (fma.f64 b a (*.f64 (/.f64 a b) (*.f64 b a))) (*.f64 (*.f64 b a) a))
(/.f64 (fma.f64 b b (*.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 (*.f64 b a) b))
(/.f64 (fma.f64 b (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (*.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)))
(/.f64 (fma.f64 (/.f64 a b) a (*.f64 #s(literal 1 binary64) a)) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 a b) b (*.f64 (/.f64 b a) a)) (*.f64 b a))
(/.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1 binary64) b)) (*.f64 b a))
(/.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 b a) b)) (*.f64 b b))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) b)) (*.f64 b (*.f64 (neg.f64 a) b)))
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eps
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(expm1.f64 (*.f64 a eps))
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(*.f64 (+.f64 b a) eps)
(*.f64 eps (+.f64 b a))
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(fma.f64 b eps (*.f64 a eps))
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(*.f64 (+.f64 b a) #s(literal 1 binary64))
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(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps) (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 0 binary64)))
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(fma.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 0 binary64)))
(fma.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(fma.f64 eps (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 0 binary64)))
(fma.f64 eps (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps)) (neg.f64 eps))
(+.f64 (*.f64 (neg.f64 eps) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (neg.f64 eps) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps)) (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (neg.f64 eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps)) eps)
(+.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(+.f64 eps (*.f64 eps (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))))
(+.f64 eps (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal 1 binary64) (neg.f64 eps))
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
(*.f64 (*.f64 (expm1.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a eps)))
(*.f64 (expm1.f64 (*.f64 a eps)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (expm1.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps)))))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))))
(neg.f64 (expm1.f64 (*.f64 a eps)))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 a) eps))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 a) eps))) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (neg.f64 a) eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) eps)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) eps)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (neg.f64 a) eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a eps)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a eps)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (neg.f64 a) eps)))
(fma.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a eps)) (*.f64 #s(literal -1 binary64) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a eps)) #s(literal 0 binary64))
(fma.f64 (cosh.f64 (*.f64 a eps)) #s(literal -1 binary64) (*.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 a eps)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 a eps))) (cosh.f64 (*.f64 a eps)))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a eps))) (sinh.f64 (*.f64 a eps)))
(-.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a eps))) (*.f64 #s(literal -1 binary64) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps))) #s(literal 1 binary64))
(+.f64 (*.f64 (cosh.f64 (*.f64 a eps)) #s(literal -1 binary64)) (*.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 (cosh.f64 (*.f64 a eps))) (neg.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a eps))) (sinh.f64 (*.f64 (neg.f64 a) eps)))
(+.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1 binary64))
(+.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 a eps)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 a eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 a eps))))

eval681.0ms (4.4%)

Memory
-260.0MiB live, 195.7MiB allocated; 1.0s collecting garbage
Compiler

Compiled 32 961 to 3 330 computations (89.9% saved)

prune24.0ms (0.2%)

Memory
-69.2MiB live, 27.9MiB allocated; 13ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9545959
Fresh000
Picked235
Done000
Total9568964
Accuracy
100.0%
Counts
964 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
55.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
43.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
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)))
43.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 400 to 273 computations (31.8% saved)

series30.0ms (0.2%)

Memory
-7.3MiB live, 39.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02641632
Stop Event
iter-limit
Counts
21 → 35
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
(/.f64 (/.f64 a b) a)
(/.f64 a b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
(/.f64 (/.f64 b a) b)
(/.f64 b 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))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(-.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 (/.f64 (+.f64 b a) b) a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) b)
(+.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 (- (/ 1 b) (/ -1 a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ -1 a) (/.f64 #s(literal -1 binary64) a))
#s(approx a a)
#s(approx (/ (/ a b) a) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ a b) (/.f64 a b))
#s(approx (/ b a) (/.f64 b a))
#s(approx (- (/ b a) -1) (/.f64 (+.f64 a b) a))
#s(approx (/ (+ b a) b) #s(literal 1 binary64))
#s(approx (/ (+ b a) b) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (- (/ 1 b) (/ -1 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 (/ (+ b a) b) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ b a) (*.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 (+ b a) (*.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 (- (/ 1 b) (/ -1 a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (+ b a) b) (/.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 (+ b a) (*.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 (+ b a) (*.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:

TimeVariablePoint
3.0ms
b
-inf
3.0ms
a
-inf
2.0ms
a
inf
2.0ms
a
0
2.0ms
b
inf

rewrite156.0ms (1%)

Memory
-3.3MiB live, 279.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035216
047216
1151212
2687212
04134182
Stop Event
iter-limit
node-limit
iter-limit
Counts
21 → 3 254
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
(/.f64 (/.f64 a b) a)
(/.f64 a b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
(/.f64 (/.f64 b a) b)
(/.f64 b 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))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(-.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 (/.f64 (+.f64 b a) b) a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) b)
(+.f64 b a)
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 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(*.f64 (-.f64 a (*.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (neg.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)))) (*.f64 b b))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) b (*.f64 (neg.f64 b) (*.f64 a (/.f64 #s(literal 1 binary64) a)))) (*.f64 (neg.f64 b) b))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (*.f64 (neg.f64 b) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 (neg.f64 b) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (*.f64 b a)) (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 (neg.f64 b) (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 a) (*.f64 (neg.f64 b) (/.f64 a (neg.f64 b)))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) (/.f64 a b))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) a (*.f64 (neg.f64 b) (/.f64 a b))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 b a) (*.f64 (neg.f64 b) a)) (*.f64 (neg.f64 b) (*.f64 b a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (neg.f64 b) (*.f64 b (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)))) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) b (*.f64 b (*.f64 a (/.f64 #s(literal 1 binary64) a)))) (*.f64 b b))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 b (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (*.f64 b (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 b (neg.f64 a))) (*.f64 b (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (neg.f64 (*.f64 b a)) (*.f64 b (neg.f64 a))) (*.f64 b (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (neg.f64 a) (*.f64 b (/.f64 a (neg.f64 b)))) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (neg.f64 (neg.f64 a)) (*.f64 b (/.f64 a b))) (*.f64 b (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) a (*.f64 b (/.f64 a b))) (*.f64 b a))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 b a) (*.f64 b a)) (*.f64 b (*.f64 b a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (neg.f64 b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) b (*.f64 (neg.f64 a) (*.f64 a (/.f64 #s(literal 1 binary64) a)))) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) (neg.f64 a))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (neg.f64 (*.f64 b a)) (*.f64 (neg.f64 a) (neg.f64 a))) (*.f64 (neg.f64 a) (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 a (neg.f64 b)))) (*.f64 (neg.f64 a) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 a) (/.f64 a b))) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) a (*.f64 (neg.f64 a) (/.f64 a b))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) b)) (*.f64 b a) (*.f64 (neg.f64 a) a)) (*.f64 (neg.f64 a) (*.f64 b a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 b) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) b))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (/.f64 a (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (/.f64 a b))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) a (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (/.f64 a b))) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 b a) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) a)) (*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 b a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 b) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (*.f64 (*.f64 (neg.f64 a) b) (*.f64 a (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 (neg.f64 a) b) b))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 (*.f64 b a))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 a) b) (/.f64 a (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a)))
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(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 a (*.f64 b a)))
(fma.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 #s(literal 1 binary64) b))
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 a (*.f64 b a)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 a (/.f64 (/.f64 #s(literal 1 binary64) b) 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 #s(literal 1 binary64) a) (/.f64 (neg.f64 a) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal -1 binary64) a))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) b))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))
(/.f64 (fma.f64 (*.f64 a #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64))) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 a #s(literal -1 binary64)) (neg.f64 b) (*.f64 b b)) (*.f64 b b))
(/.f64 (fma.f64 (*.f64 a #s(literal -1 binary64)) b (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) b))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64))) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) (neg.f64 b) (*.f64 b b)) (*.f64 b b))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) b (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) b))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 a)) b (*.f64 (neg.f64 (neg.f64 b)) b)) (*.f64 (neg.f64 (neg.f64 b)) b))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64))) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 a) (neg.f64 b) (*.f64 b b)) (*.f64 b b))
(/.f64 (fma.f64 (neg.f64 a) b (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) b))
(/.f64 (fma.f64 a #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) a))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 #s(literal 2 binary64) (neg.f64 a))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 b b (*.f64 (neg.f64 b) (*.f64 a #s(literal -1 binary64)))) (*.f64 b b))
(/.f64 (fma.f64 b b (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) a))) (*.f64 b b))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 b b (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 b b))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 b) a)) (*.f64 (neg.f64 b) b))
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 b (*.f64 a #s(literal -1 binary64)))) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 b (*.f64 #s(literal -1 binary64) a))) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 b (neg.f64 (neg.f64 b)) (*.f64 b (neg.f64 (neg.f64 a)))) (*.f64 b (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 b a (*.f64 b b)) (*.f64 b b))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal -1 binary64)) b) (*.f64 b b)) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) a) b) (*.f64 b b)) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 a)) b) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b))) (*.f64 (neg.f64 (neg.f64 b)) b))
(/.f64 (-.f64 (*.f64 (neg.f64 a) b) (*.f64 b b)) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 b a) (*.f64 b (neg.f64 b))) (*.f64 b b))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a)))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 a))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) (neg.f64 a))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) (*.f64 b b))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) a)) (*.f64 b b))
(/.f64 (-.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 (neg.f64 a)))) (*.f64 b (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b (neg.f64 (neg.f64 b))) (*.f64 b (neg.f64 a))) (*.f64 b (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 b (neg.f64 a))) (*.f64 b b))
(/.f64 (-.f64 (*.f64 b (neg.f64 b)) (*.f64 b a)) (*.f64 b (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (neg.f64 a))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b a)) (neg.f64 b))
(/.f64 (neg.f64 (fma.f64 b (neg.f64 b) (*.f64 (neg.f64 a) b))) (neg.f64 (*.f64 b (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 b (neg.f64 b) (*.f64 b (neg.f64 a)))) (neg.f64 (*.f64 b (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 b a))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (*.f64 (+.f64 b a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (neg.f64 a)) (neg.f64 b))
(/.f64 (fma.f64 #s(literal 1 binary64) b a) b)
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 (neg.f64 a) b)) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 b (neg.f64 a))) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 b b (*.f64 b a)) (*.f64 b b))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) b)
(/.f64 (-.f64 (neg.f64 a) b) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (neg.f64 a) b) (neg.f64 b))
(/.f64 (+.f64 b a) (neg.f64 (neg.f64 b)))
(/.f64 (+.f64 b a) b)
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(neg.f64 (neg.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) a #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) (/.f64 (neg.f64 b) b))
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(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)

eval188.0ms (1.2%)

Memory
23.6MiB live, 308.8MiB allocated; 77ms collecting garbage
Compiler

Compiled 60 092 to 4 777 computations (92.1% saved)

prune25.0ms (0.2%)

Memory
3.5MiB live, 50.7MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1 46711 468
Fresh000
Picked145
Done033
Total1 46881 476
Accuracy
100.0%
Counts
1 476 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
43.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
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))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
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)))
43.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 244 to 168 computations (31.1% saved)

series23.0ms (0.1%)

Memory
-19.1MiB live, 27.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02381522
Stop Event
iter-limit
Counts
7 → 25
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 a b)
a
b
#s(literal -1 binary64)
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (- (/ a b) -1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (- (/ a b) -1) #s(literal 1 binary64))
#s(approx (- (/ a b) -1) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ a b) (/.f64 a b))
#s(approx a a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (- (/ a b) -1) a) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (- (/ a b) -1) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (- (/ a b) -1) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (- (/ a b) -1) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (- (/ a b) -1) (/.f64 (+.f64 a b) b))
#s(approx b b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Calls

9 calls:

TimeVariablePoint
2.0ms
a
-inf
1.0ms
a
inf
1.0ms
b
-inf
1.0ms
b
inf
1.0ms
eps
-inf

rewrite106.0ms (0.7%)

Memory
-3.4MiB live, 140.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02250
02550
19150
237450
3234350
0402644
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 180
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(-.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 a b)
a
b
#s(literal -1 binary64)
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 (/.f64 a b) a a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(*.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 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)))) a)
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) a))) b)
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) a))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 a b) a a) a)) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b a)) (neg.f64 a) #s(literal -1 binary64))) a)
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (neg.f64 a)) #s(literal 1 binary64))) a)
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (*.f64 #s(literal -1 binary64) (neg.f64 a)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (*.f64 #s(literal 1 binary64) (neg.f64 a)))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) a)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) a)))
(/.f64 (neg.f64 (fma.f64 a (neg.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -1 binary64)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (neg.f64 a))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a (neg.f64 a) (*.f64 (*.f64 b a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 b a) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 (*.f64 b a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 b a) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 a) b) a) (*.f64 (neg.f64 a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 a) b) (neg.f64 a)) (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 a b) (neg.f64 a)) a)) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 b a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 b a) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 b a) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64)))) a)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 a b) a a))) (neg.f64 (neg.f64 (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) a) #s(literal -1 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal -1 binary64)) a)
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) a)) b)
(/.f64 (/.f64 (fma.f64 (/.f64 a b) a a) a) a)
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 a b) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) (neg.f64 a) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (neg.f64 a)) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (*.f64 #s(literal -1 binary64) (neg.f64 a))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (*.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 a a (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) a))) (*.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 (fma.f64 a (neg.f64 a) (*.f64 #s(literal -1 binary64) (*.f64 b a))) (*.f64 (*.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 a a (*.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 (*.f64 b a) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) a (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 a a (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (neg.f64 a)) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 a (neg.f64 a) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b a) (neg.f64 a)))
(/.f64 (fma.f64 a a (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 a) b) a) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 a) b) (neg.f64 a)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (/.f64 a b) (neg.f64 a)) a) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b a) a))
(/.f64 (-.f64 (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) (neg.f64 a)))
(/.f64 (*.f64 (+.f64 b a) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) #s(literal -1 binary64)) (*.f64 b a))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)) (*.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) a a)) (neg.f64 (*.f64 a a)))
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (-.f64 (neg.f64 b) a) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64)) a)
(/.f64 (fma.f64 (/.f64 a b) a a) (*.f64 a a))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 a))
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)
(/.f64 (+.f64 b a) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (+.f64 b a) (*.f64 (neg.f64 b) (neg.f64 a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) a))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) a (/.f64 #s(literal 1 binary64) a))
(fma.f64 (*.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 a (*.f64 b a)))
(fma.f64 (neg.f64 a) (/.f64 (/.f64 #s(literal -1 binary64) b) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 a (*.f64 b a)))
(fma.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(-.f64 (/.f64 (*.f64 (/.f64 a b) a) (*.f64 a a)) (/.f64 (neg.f64 a) (*.f64 a a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (neg.f64 a) b) a))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal -1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (neg.f64 a))) b)
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b a)) (neg.f64 b))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 b)))) (neg.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) b))) (neg.f64 (*.f64 b #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 a #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))) (neg.f64 (*.f64 b #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 #s(literal 2 binary64) (neg.f64 a)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) a))) (neg.f64 (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 a) b) (*.f64 #s(literal 1 binary64) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 a) b) (neg.f64 b))
(/.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (neg.f64 a)) (neg.f64 b))
(/.f64 (fma.f64 #s(literal 1 binary64) b a) b)
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) b)) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64))) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 b) (*.f64 #s(literal 2 binary64) (neg.f64 a))) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (neg.f64 b) a) (*.f64 #s(literal 1 binary64) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 b))
(/.f64 (+.f64 b a) (*.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 b a) b)
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 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 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
(+.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(+.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 a b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) b)
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 a) (*.f64 #s(literal 1 binary64) (neg.f64 b)))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 a (*.f64 #s(literal 1 binary64) b))
(/.f64 a b)
(neg.f64 (/.f64 (neg.f64 a) b))
a
b
#s(literal -1 binary64)

eval19.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 239 to 844 computations (89.8% saved)

prune7.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1950195
Fresh000
Picked011
Done077
Total1958203
Accuracy
100.0%
Counts
203 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
43.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
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))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a))
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)))
43.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 244 to 168 computations (31.1% saved)

regimes29.0ms (0.2%)

Memory
-14.3MiB live, 32.5MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
4 → 2
5 → 3
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))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 2
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 3
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
Call 4
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 b a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.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))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (neg.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (*.f64 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))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
Calls

13 calls:

3.0ms
eps
3.0ms
b
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
AccuracySegmentsBranch
55.3%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))))
55.3%1eps
55.3%1a
55.3%1b
85.6%2b
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))))
81.7%3a
87.3%3b
74.1%3eps
100.0%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
100.0%1a
100.0%1b
100.0%1eps
Compiler

Compiled 420 to 151 computations (64% saved)

bsearch20.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.091537410712583e-61
3.468540636306415e-60
8.0ms
4.4527270644561404e-179
1.0352560476645491e-178
Samples
11.0ms176×0valid
Compiler

Compiled 667 to 487 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-expm1: 3.0ms (41.6% of total)
ival-mult!: 3.0ms (41.6% of total)
ival-add!: 1.0ms (13.9% of total)
ival-div!: 1.0ms (13.9% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.4527270644561404e-179
1.0352560476645491e-178
Compiler

Compiled 307 to 229 computations (25.4% saved)

derivations21.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 216 to 37 computations (82.9% saved)

preprocess33.0ms (0.2%)

Memory
-13.5MiB live, 36.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 679 to 261 computations (61.6% saved)

end0.0ms (0%)

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

Profiling

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