expq3 (problem 3.4.2)

Time bar (total: 14.4s)

start0.0ms (0.0%)

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

analyze163.0ms (1.1%)

Memory
4.6MiB live, 246.8MiB allocated; 28ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.4%74.6%0.0%0.0%0.0%0
0.0%0.0%25.4%74.6%0.0%0.0%0.0%1
0.0%0.0%25.4%74.6%0.0%0.0%0.0%2
0.0%0.0%25.4%74.6%0.0%0.0%0.0%3
0.0%0.0%22.2%74.6%0.0%3.2%0.0%4
0.0%0.0%20.6%74.6%0.0%4.8%0.0%5
0.0%0.0%18.3%74.6%0.0%7.1%0.0%6
0.0%0.0%10.7%74.6%0.0%14.7%0.0%7
0.0%0.0%9.3%74.6%0.0%16.1%0.0%8
0.0%0.0%8.2%74.6%0.0%17.2%0.0%9
0.0%0.0%5.7%74.6%0.0%19.7%0.0%10
0.0%0.0%5.0%74.6%0.0%20.4%0.0%11
0.0%0.0%4.4%74.6%0.0%21.0%0.0%12
Compiler

Compiled 52 to 27 computations (48.1% saved)

sample12.8s (88.9%)

Memory
247.8MiB live, 17 403.1MiB allocated; 4.9s collecting garbage
Samples
8.9s62 096×0invalid
912.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.8s
ival-mult!: 2.2s (38.3% of total)
ival-expm1: 1.4s (24.7% of total)
ival-fabs: 623.0ms (10.7% of total)
ival-div!: 463.0ms (8.0% of total)
ival-<=: 421.0ms (7.2% of total)
ival-add!: 350.0ms (6.0% of total)
ival-and: 173.0ms (3.0% of total)
ival-fmin: 77.0ms (1.3% of total)
ival-assert: 30.0ms (0.5% of total)
adjust: 15.0ms (0.3% of total)
Bogosity

preprocess32.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms 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)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series73.0ms (0.5%)

Memory
-45.5MiB live, 55.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05964189
Stop Event
iter-limit
Counts
17 → 110
Calls
Call 1
Inputs
eps
a
b
(+.f64 a b)
(*.f64 (+.f64 a b) eps)
(exp.f64 (*.f64 (+.f64 a b) eps))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
(*.f64 a eps)
(exp.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(*.f64 b eps)
(exp.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 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 (*.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 a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ a b) eps) (*.f64 b eps))
#s(approx (* (+ a b) eps) (+.f64 (*.f64 a eps) (*.f64 b eps)))
#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 (+.f64 (*.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 (+.f64 (*.f64 a (+.f64 (*.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 (- (exp (* (+ a b) eps)) 1) (-.f64 (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 (*.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 (+.f64 (*.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 (+.f64 (*.f64 a (+.f64 (*.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 (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 a (+.f64 (*.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 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (*.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 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
#s(approx (* a eps) (*.f64 a eps))
#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 (+.f64 (*.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 #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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 a (+.f64 (*.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)) 1) (- (exp (* b eps)) 1)) (*.f64 a (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))))) (*.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #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) 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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.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 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (* (+ a b) eps) (*.f64 a (+.f64 eps (/.f64 (*.f64 b eps) a))))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (+.f64 a b))))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64)))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) #s(literal 1 binary64))))
#s(approx (exp (* a eps)) (exp.f64 (*.f64 a eps)))
#s(approx (- (exp (* a eps)) 1) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 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)))))
#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 (* (+ a b) eps) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b eps) a))))))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64)))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.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 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #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)))))
#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 (+.f64 (*.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 (+.f64 (*.f64 b (+.f64 (*.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 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 (+.f64 (*.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 (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 b (+.f64 (*.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 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (*.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 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 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 (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))))))
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#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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) (+.f64 (*.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 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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
9.0ms
a
-inf
5.0ms
eps
inf
4.0ms
eps
0
4.0ms
b
0
4.0ms
eps
-inf

rewrite147.0ms (1.0%)

Memory
38.6MiB live, 130.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
03099
114199
252199
3283299
0416599
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 428
Calls
Call 1
Inputs
eps
a
b
(+.f64 a b)
(*.f64 (+.f64 a b) eps)
(exp.f64 (*.f64 (+.f64 a b) eps))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
(*.f64 a eps)
(exp.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(*.f64 b eps)
(exp.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 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 (*.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
eps
a
b
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (neg.f64 a))) (+.f64 b (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) (+.f64 a (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 a (neg.f64 b)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b))))
(neg.f64 (-.f64 (neg.f64 a) b))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b a)
(+.f64 a b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) (*.f64 b eps))) (*.f64 b eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) (*.f64 a eps))) (*.f64 a eps))
(*.f64 (+.f64 b a) eps)
(*.f64 eps (+.f64 b a))
(/.f64 (-.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (*.f64 (*.f64 a eps) (*.f64 a eps))) (-.f64 (*.f64 b eps) (*.f64 a eps)))
(/.f64 (-.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (*.f64 (*.f64 b eps) (*.f64 b eps))) (-.f64 (*.f64 a eps) (*.f64 b eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 b eps) #s(literal 3 binary64)) (pow.f64 (*.f64 a eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (-.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (*.f64 (*.f64 b eps) (*.f64 a eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a eps) #s(literal 3 binary64)) (pow.f64 (*.f64 b eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (-.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (*.f64 (*.f64 a eps) (*.f64 b eps)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))
(-.f64 (*.f64 b eps) (*.f64 (neg.f64 a) eps))
(-.f64 (*.f64 a eps) (*.f64 (neg.f64 b) eps))
(+.f64 (*.f64 b eps) (*.f64 a eps))
(+.f64 (*.f64 a eps) (*.f64 b eps))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))) (sinh.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 (+.f64 b a) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 b eps)) (pow.f64 (exp.f64 eps) (neg.f64 (neg.f64 a))))
(*.f64 (exp.f64 (*.f64 b eps)) (exp.f64 (*.f64 a eps)))
(*.f64 (exp.f64 (*.f64 a eps)) (exp.f64 (*.f64 b eps)))
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 eps) (+.f64 b a))
(pow.f64 (exp.f64 (+.f64 b a)) eps)
(/.f64 (fabs.f64 (+.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (+.f64 (*.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))))))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))
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(/.f64 (exp.f64 (*.f64 b eps)) (exp.f64 (*.f64 (neg.f64 a) eps)))
(/.f64 (exp.f64 (*.f64 a eps)) (exp.f64 (*.f64 (neg.f64 b) eps)))
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(neg.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
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(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
(fabs.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))
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(exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 b a))) eps))
(exp.f64 (*.f64 (+.f64 b a) eps))
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#s(literal 1 binary64)
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(*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (neg.f64 (neg.f64 eps)))
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(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps))
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(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))
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(*.f64 a eps)
(*.f64 eps a)
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 a eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 a eps)))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (neg.f64 a) eps)) (cosh.f64 (*.f64 a eps)))) (cosh.f64 (*.f64 a eps)))
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 a #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 a eps))) (sqrt.f64 (exp.f64 (*.f64 a eps))))
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(*.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 eps (+.f64 a a))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 eps) a)
(pow.f64 (exp.f64 a) eps)
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(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))) (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps)))
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) eps))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps)))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (neg.f64 eps)))
(+.f64 (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
(+.f64 (*.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (/.f64 eps (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) eps) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) eps))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))))) (/.f64 eps (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))

eval30.0ms (0.2%)

Memory
-6.2MiB live, 39.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 19 486 to 2 750 computations (85.9% saved)

prune6.0ms (0.0%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5194523
Fresh000
Picked101
Done000
Total5204524
Accuracy
97.9%
Counts
524 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
54.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
45.2%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
13.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.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) (+.f64 (*.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))))
Compiler

Compiled 162 to 103 computations (36.4% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series94.0ms (0.7%)

Memory
-18.4MiB live, 76.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05043541
Stop Event
iter-limit
Counts
32 → 90
Calls
Call 1
Inputs
eps
a
b
#s(literal 1/2 binary64)
(+.f64 a b)
#s(literal 2 binary64)
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
(pow.f64 b #s(literal 2 binary64))
(*.f64 a (pow.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) b)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))
(+.f64 (*.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 a b) (+.f64 (*.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 (+.f64 a b) (+.f64 (*.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 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.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 (-.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) (+.f64 (*.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))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.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) (+.f64 (*.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))) (/.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))
(/.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 a b) (*.f64 a b)))
Outputs
#s(approx a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (pow (+ a b) 2) (pow.f64 b #s(literal 2 binary64)))
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 a (+.f64 a (*.f64 #s(literal 2 binary64) b))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* a b) (*.f64 a b))
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 b a))
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 b (*.f64 #s(literal 2 binary64) a)) a))
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) a))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) a))
#s(approx (* a (pow b 2)) (*.f64 a (pow.f64 b #s(literal 2 binary64))))
#s(approx (* 1/2 (* a (pow b 2))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))))
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (* (pow a 2) b) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))
#s(approx (* 1/2 (* (pow a 2) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (* (pow a 2) (pow b 2)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
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#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 a b))
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))))
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#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (+ (/ 1 a) (/ 1 b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
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#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) (*.f64 #s(literal -1/2 binary64) b)))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 2 binary64))) a)) (*.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #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)))))
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (pow (+ a b) 2) (+.f64 (*.f64 b (+.f64 b (*.f64 #s(literal 2 binary64) a))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b))
#s(approx (/ (pow (+ a b) 2) (* a b)) (/.f64 (+.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))) b))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) b))
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))))
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#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
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#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))
#s(approx (pow (+ a b) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 a (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 a #s(literal 2 binary64)) 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 (pow (+ a b) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))) b)))))
#s(approx (/ (pow (+ a b) 2) (* a b)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) b)) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* 1/2 (/ (pow (+ a b) 2) (* a b))) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) a)))))
#s(approx (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) (pow.f64 a #s(literal 2 binary64))) b)) (*.f64 #s(literal -1/2 binary64) a)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) 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)))))
#s(approx eps eps)
#s(approx (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (*.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) (+.f64 (*.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)))))))
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (+.f64 (*.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) (+.f64 (*.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))) (/.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 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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) (+.f64 (*.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 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.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)))))))
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.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) (+.f64 (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps))))))
Calls

9 calls:

TimeVariablePoint
14.0ms
a
-inf
14.0ms
a
inf
8.0ms
b
-inf
8.0ms
b
inf
7.0ms
a
0

rewrite232.0ms (1.6%)

Memory
-40.1MiB live, 329.9MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045446
067420
1361370
21840370
04330370
Stop Event
iter-limit
node-limit
iter-limit
Counts
32 → 1 056
Calls
Call 1
Inputs
eps
a
b
#s(literal 1/2 binary64)
(+.f64 a b)
#s(literal 2 binary64)
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
(pow.f64 b #s(literal 2 binary64))
(*.f64 a (pow.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) b)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))
(+.f64 (*.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 a b) (+.f64 (*.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 (+.f64 a b) (+.f64 (*.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 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.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 (-.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) (+.f64 (*.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))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.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) (+.f64 (*.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))) (/.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))
(/.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 a b) (*.f64 a b)))
Outputs
eps
a
b
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a)
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a)
(*.f64 #s(literal 1 binary64) (+.f64 b a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a (neg.f64 b)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 b a))))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (*.f64 #s(literal -1 binary64) a))
(-.f64 b (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 b a)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
#s(literal 2 binary64)
(*.f64 (fabs.f64 (fabs.f64 (+.f64 b a))) (fabs.f64 (fabs.f64 (+.f64 b a))))
(*.f64 (neg.f64 (fabs.f64 (+.f64 b a))) (neg.f64 (fabs.f64 (+.f64 b a))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))))) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (+.f64 b a)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 (+.f64 b a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (+.f64 b a))
(*.f64 (pow.f64 (+.f64 b a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 b a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a))
(*.f64 (+.f64 b a) (+.f64 b a))
(pow.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64))
(pow.f64 (+.f64 b a) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b b)))))
(/.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(-.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 (neg.f64 b) b))
(-.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (neg.f64 (*.f64 b b)))
(fabs.f64 (*.f64 (+.f64 b a) (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b a) b) (*.f64 (+.f64 b a) a))
(+.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b))
(+.f64 (*.f64 b (+.f64 b a)) (*.f64 a (+.f64 b a)))
(+.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a)))
(+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a a))
(+.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) b))) (*.f64 b b))
(+.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b b))
(+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))))
(*.f64 b a)
(*.f64 a b)
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (+.f64 b a) b))
(*.f64 (*.f64 (+.f64 b a) (/.f64 (+.f64 b a) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (*.f64 (-.f64 (neg.f64 b) a) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal -2 binary64) (*.f64 b a))) (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 b) a) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 b) a) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
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#s(literal 1 binary64)
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
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(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 a))
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(/.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 b #s(literal -1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))))
(/.f64 (-.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b))))
(/.f64 (-.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (-.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 b a)))
(-.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a))))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))

eval81.0ms (0.6%)

Memory
5.2MiB live, 96.5MiB allocated; 17ms collecting garbage
Compiler

Compiled 83 515 to 6 078 computations (92.7% saved)

prune14.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 01951 024
Fresh000
Picked404
Done-330
Total1 02081 028
Accuracy
100.0%
Counts
1 028 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b)))
63.2%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b))
63.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
63.5%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b)))
27.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
54.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
45.2%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Compiler

Compiled 588 to 357 computations (39.3% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
0
1
-1
1/2
Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series92.0ms (0.6%)

Memory
-17.3MiB live, 81.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04743195
Stop Event
iter-limit
Counts
45 → 88
Calls
Call 1
Inputs
eps
a
b
#s(literal 0 binary64)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 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))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ a b) b)
(*.f64 a b)
(/.f64 #s(approx (+ a b) b) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
(/.f64 b a)
#s(literal -1 binary64)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b)))
(*.f64 b b)
(*.f64 a a)
(-.f64 (*.f64 b b) (*.f64 a a))
(-.f64 b a)
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b)))
(+.f64 b a)
(*.f64 (+.f64 b a) (+.f64 b a))
(*.f64 b a)
(/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b a) (*.f64 b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b)
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b))
Outputs
#s(approx a a)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.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 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a 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 (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx (- (* b b) (* a a)) (pow.f64 b #s(literal 2 binary64)))
#s(approx (- (* b b) (* a a)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- b a) (+.f64 b (*.f64 #s(literal -1 binary64) a)))
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 a (+.f64 a (*.f64 #s(literal 2 binary64) b))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 b (*.f64 #s(literal 2 binary64) a)) a))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) a))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 a (*.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) a))
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (+ (/ 1 a) (/ 1 b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 eps (+.f64 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)))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (- (/ b a) -1) #s(literal 1 binary64))
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (- (* b b) (* a a)) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- (* b b) (* a a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- b a) (*.f64 #s(literal -1 binary64) a))
#s(approx (- b a) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b a)))))
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 a b))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 a b)))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (* 1/2 (/ (+ b a) (* b a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) (/.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 (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #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)))))
#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 (- b a) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))) a)))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.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 (+.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.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 (+.f64 (*.f64 b (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (- (* b b) (* a a)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- b a) (-.f64 b a))
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (+ b a) (+ b a)) (+.f64 (*.f64 b (+.f64 b (*.f64 #s(literal 2 binary64) a))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (/.f64 (+.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))) b))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 b (*.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) b))
#s(approx (* 1/2 (/ (+ b a) (* b a))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) b))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (- (/ b a) -1) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (- (* b b) (* a a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (- b a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 a (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (-.f64 (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) 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)))))
#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 (- b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))))
#s(approx (* (+ b a) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b))) b)))))
#s(approx (/ (* (+ b a) (+ b a)) (* b a)) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) b)) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* (/ (* (+ b a) (+ b a)) (* b a)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx eps eps)
#s(approx (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (*.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) (+.f64 (*.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)))))))
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (+.f64 (*.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) (+.f64 (*.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))) (/.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 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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) (+.f64 (*.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 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.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)))))))
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.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) (+.f64 (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps))))))
Calls

9 calls:

TimeVariablePoint
20.0ms
b
-inf
9.0ms
a
-inf
7.0ms
b
inf
7.0ms
a
inf
6.0ms
a
0

rewrite159.0ms (1.1%)

Memory
36.2MiB live, 174.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074756
0105714
1656630
23389630
04012594
Stop Event
iter-limit
node-limit
iter-limit
Counts
45 → 1 054
Calls
Call 1
Inputs
eps
a
b
#s(literal 0 binary64)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 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))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ a b) b)
(*.f64 a b)
(/.f64 #s(approx (+ a b) b) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
(/.f64 b a)
#s(literal -1 binary64)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b)))
(*.f64 b b)
(*.f64 a a)
(-.f64 (*.f64 b b) (*.f64 a a))
(-.f64 b a)
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b)))
(+.f64 b a)
(*.f64 (+.f64 b a) (+.f64 b a))
(*.f64 b a)
(/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b a) (*.f64 b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b)
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b))
Outputs
eps
a
b
#s(literal 0 binary64)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
(*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) b)
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) a))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) b))
(*.f64 (/.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 a a) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 a (*.f64 b a)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 a b) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (/.f64 a b))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b)))
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 a a))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) a)))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) (*.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) b) a)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 a (*.f64 b a)))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 a (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))
(*.f64 a (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) a) b)
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 a b))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 a b)) a)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 a)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) a) #s(literal 1 binary64)) a)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (+.f64 (*.f64 (/.f64 b (*.f64 b a)) (*.f64 b a)) a) (*.f64 b a))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 #s(literal -1 binary64) (neg.f64 b))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1 binary64) (neg.f64 b))) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal -1 binary64) b)) (*.f64 (neg.f64 a) b))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 #s(literal -1 binary64) (neg.f64 a))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (neg.f64 a) b))
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(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)) #s(literal 1 binary64)) b)
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) b) #s(literal 1 binary64)) b)
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) (neg.f64 b)) (*.f64 #s(literal -1 binary64) b)) (*.f64 b (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) (neg.f64 b)) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 b)))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) b) b) (*.f64 b b))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b)) (neg.f64 b))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)) (neg.f64 (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b) #s(literal -1 binary64)) (neg.f64 b)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) b)) b))
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (/.f64 #s(literal -1 binary64) b))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps) (/.f64 (+.f64 b a) (*.f64 b a)))
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)) (/.f64 b b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)))) eps) (/.f64 (+.f64 b a) (*.f64 b a))))

eval76.0ms (0.5%)

Memory
1.9MiB live, 95.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 50 622 to 4 939 computations (90.2% saved)

prune14.0ms (0.1%)

Memory
-28.6MiB live, 17.8MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New7153718
Fresh000
Picked505
Done-143
Total7197726
Accuracy
100.0%
Counts
726 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
27.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
54.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
45.2%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)))
60.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))))
Compiler

Compiled 352 to 211 computations (40.1% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
0
1
-1
Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series60.0ms (0.4%)

Memory
35.7MiB live, 80.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02782152
Stop Event
iter-limit
Counts
23 → 37
Calls
Call 1
Inputs
eps
a
b
#s(literal 0 binary64)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(*.f64 b a)
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(+.f64 b a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))))
(/.f64 b a)
#s(literal -1 binary64)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.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 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)))
(/.f64 (+.f64 b a) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)))
Outputs
#s(approx a a)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
#s(approx (* b a) (*.f64 a b))
#s(approx (/ 1 (* b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 #s(literal 1 binary64) a))
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.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 (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (- (/ b a) -1) (/.f64 (+.f64 a b) a))
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 #s(literal 1 binary64) b))
#s(approx (* (/ 1 (* b a)) (+ b 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 (-.f64 (exp.f64 (*.f64 eps (+.f64 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)))))
#s(approx (- (/ b a) -1) #s(literal 1 binary64))
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#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 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))) #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)))))
#s(approx (* (/ 1 (* b a)) (+ b a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.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 (+.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.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 (+.f64 (*.f64 b (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (*.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))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a 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 #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 eps (-.f64 (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) 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)))))
#s(approx eps eps)
#s(approx (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (*.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) (+.f64 (*.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)))))))
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* (/ 1 (* b a)) (+ b a))) (+.f64 (*.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) (+.f64 (*.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))) (/.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 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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))) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 eps (-.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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) (+.f64 (*.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 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* (/ 1 (* b a)) (+ b a))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 #s(literal 1 binary64) (*.f64 b eps)))) (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.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)))))))
#s(approx (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* (/ 1 (* b a)) (+ b a))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.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) (+.f64 (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps))))))
Calls

9 calls:

TimeVariablePoint
9.0ms
b
inf
6.0ms
b
-inf
6.0ms
a
-inf
5.0ms
a
inf
5.0ms
a
0

rewrite169.0ms (1.2%)

Memory
-2.8MiB live, 139.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053522
066502
1437484
22108484
04384484
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 758
Calls
Call 1
Inputs
eps
a
b
#s(literal 0 binary64)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(*.f64 b a)
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(+.f64 b a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))))
(/.f64 b a)
#s(literal -1 binary64)
(-.f64 (/.f64 b a) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.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 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)))
(/.f64 (+.f64 b a) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
(+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)))
Outputs
eps
a
b
#s(literal 0 binary64)
#s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))
(*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)
(*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(*.f64 b a)
(*.f64 a b)
(*.f64 (pow.f64 (*.f64 b a) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 b a) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(pow.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 a)) (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) a) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (neg.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (*.f64 b a) (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (*.f64 b a)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) b)) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (*.f64 a (/.f64 #s(literal -1 binary64) b)) (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 a (/.f64 #s(literal 1 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a (*.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) a) (*.f64 a a))
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) a))
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (/.f64 (+.f64 b a) a) a)
(*.f64 #s(literal 1 binary64) (+.f64 b a))
(*.f64 (+.f64 b a) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b (neg.f64 a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 (neg.f64 b) a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a (neg.f64 b)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 b a))))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 b a)))
(neg.f64 (neg.f64 (+.f64 b a)))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b a)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) a))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) b)) (*.f64 b a)) (*.f64 (neg.f64 b) a)) (*.f64 (*.f64 a a) b))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) a) (*.f64 b a)) (*.f64 (neg.f64 b) a)) (*.f64 (*.f64 a a) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 b a)) (*.f64 (*.f64 b a) (neg.f64 b))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 b a)) (*.f64 (*.f64 b a) (neg.f64 b))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b a) (neg.f64 b))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) b)) (*.f64 b a)) (*.f64 a (neg.f64 a))) (*.f64 (*.f64 a a) b))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 a (neg.f64 a))) (*.f64 (*.f64 a a) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (*.f64 (*.f64 b a) (neg.f64 a))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b a)) (*.f64 (*.f64 b a) (neg.f64 a))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b a)) (*.f64 b a)) (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 (neg.f64 b) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 b) a)) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 (*.f64 b b) a) (*.f64 (*.f64 b a) (neg.f64 a))) (*.f64 (*.f64 (*.f64 a a) b) b))
(/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) b)) b) (*.f64 a #s(literal -1 binary64))) (*.f64 b a))
(/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) b)) (neg.f64 b)) (*.f64 a #s(literal 1 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 b a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal 1 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) b) (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 b)) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) b) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (neg.f64 b)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) b) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 b)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1 binary64)) b) (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) b))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1 binary64)) (neg.f64 b)) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b a)) b) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b a)) (neg.f64 b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 b b))
(/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 b (neg.f64 b)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) (neg.f64 b)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 b a) a) a)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (neg.f64 b) a) (*.f64 a (neg.f64 a)))) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) a))) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 b a) (*.f64 a a))) (*.f64 (neg.f64 b) (*.f64 a a)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 b a))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 b a) a) a)) (*.f64 b a))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 b) a) (*.f64 a (neg.f64 a)))) (*.f64 b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) a))) (*.f64 b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b a) (*.f64 a a))) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (neg.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (neg.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) a) b) #s(literal -1 binary64)) (*.f64 b a))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) a) b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a))))) (neg.f64 (neg.f64 b)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (neg.f64 b)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (neg.f64 b))
(/.f64 (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 b a)) (+.f64 b a)) (*.f64 b a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))) (-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))) (+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))) (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (+.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))) (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (neg.f64 b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a))) b)
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a)))) (-.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)) (-.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) (-.f64 #s(literal -1 binary64) (/.f64 b a)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))
(-.f64 (+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))
(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) eps))
(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 eps) #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))))
(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (neg.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))
(-.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))
(+.f64 (+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) b) b) (/.f64 (+.f64 b a) (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))
(+.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps))
(+.f64 (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64)) eps)))

eval48.0ms (0.3%)

Memory
-40.9MiB live, 61.1MiB allocated; 20ms collecting garbage
Compiler

Compiled 34 332 to 2 010 computations (94.1% saved)

prune7.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3970397
Fresh000
Picked303
Done-374
Total3977404
Accuracy
100.0%
Counts
404 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
27.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
54.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
45.2%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)))
60.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))))
Compiler

Compiled 352 to 211 computations (40.1% saved)

regimes37.0ms (0.3%)

Memory
19.3MiB live, 65.1MiB allocated; 3ms collecting garbage
Counts
1 → 1
3 → 2
5 → 3
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 2
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 3
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 4
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 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))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.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 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (/.f64 (/.f64 (+.f64 b a) a) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a))) eps)) b) #s(literal 1 binary64)) b))
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.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) (+.f64 (*.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))))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.f64 (*.f64 eps #s(approx (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2)))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Calls

13 calls:

5.0ms
(/.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))))
4.0ms
b
4.0ms
a
4.0ms
eps
3.0ms
eps
Results
AccuracySegmentsBranch
45.2%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))))
45.2%1eps
45.2%1b
45.2%1a
84.9%2a
63.6%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
86.7%3a
82.4%3b
80.4%5eps
99.9%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
99.9%1a
99.9%1b
99.9%1eps
Compiler

Compiled 748 to 203 computations (72.9% saved)

bsearch29.0ms (0.2%)

Memory
-6.3MiB live, 39.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
-8.582869380427644e-231
-1.1777078758114812e-231
15.0ms
-5.679485505285779e-79
-8.400785004631251e-81
Samples
17.0ms208×0valid
Compiler

Compiled 783 to 572 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-expm1: 6.0ms (49.8% of total)
ival-mult!: 4.0ms (33.2% of total)
ival-add!: 1.0ms (8.3% of total)
ival-div!: 1.0ms (8.3% of total)
adjust: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-8.582869380427644e-231
-1.1777078758114812e-231
Compiler

Compiled 363 to 271 computations (25.3% saved)

derivations9.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 260 to 55 computations (78.8% saved)

preprocess27.0ms (0.2%)

Memory
-7.9MiB live, 39.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 866 to 330 computations (61.9% saved)

end0.0ms (0.0%)

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

Profiling

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