expq3 (problem 3.4.2)

Time bar (total: 10.8s)

start0.0ms (0.0%)

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

analyze109.0ms (1.0%)

Memory
-3.4MiB live, 36.6MiB allocated; 1ms 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)

sample9.9s (91.7%)

Memory
84.6MiB live, 3 515.2MiB allocated; 698ms collecting garbage
Samples
6.3s63 098×0invalid
795.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.7s
ival-mult!: 1.6s (33.6% of total, 294.5 MiB)
ival-expm1: 1.4s (29.8% of total, 277.6 MiB)
ival-fabs: 521.0ms (11.1% of total, 115.8 MiB)
ival-<=: 351.0ms (7.5% of total, 130.0 MiB)
ival-div!: 327.0ms (6.9% of total, 39.1 MiB)
ival-add!: 219.0ms (4.7% of total, 38.8 MiB)
ival-and: 155.0ms (3.3% of total, 91.3 MiB)
ival-fmin: 64.0ms (1.4% of total, 15.9 MiB)
adjust: 48.0ms (1.0% of total, 10.9 MiB)
ival-assert: 37.0ms (0.8% of total, 38.1 MiB)
Bogosity

preprocess31.0ms (0.3%)

Memory
1.0MiB live, 8.5MiB allocated; 1ms 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)

series47.0ms (0.4%)

Memory
-3.6MiB live, 29.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05984192
Stop Event
iter-limit
Counts
17 → 111
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 eps #s(literal 0 binary64))
#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)))))))
#s(approx (- (exp (* b eps)) 1) (*.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))))))))
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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
3.0ms
a
0
3.0ms
eps
0
2.0ms
eps
-inf
2.0ms
eps
inf
2.0ms
a
inf

rewrite134.0ms (1.2%)

Memory
2.2MiB live, 48.9MiB allocated; 4ms 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)))))

eval24.0ms (0.2%)

Memory
1.3MiB live, 24.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 18 347 to 2 543 computations (86.1% saved)

prune4.0ms (0.0%)

Memory
-4.6MiB live, 3.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5204524
Fresh000
Picked101
Done000
Total5214525
Accuracy
98.7%
Counts
525 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
44.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
17.9%
#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 62 to 28 computations (54.8% saved)

series60.0ms (0.6%)

Memory
2.1MiB live, 40.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05043478
Stop Event
iter-limit
Counts
32 → 90
Calls
Call 1
Inputs
eps
a
b
(+.f64 a b)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.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) 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) b))
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(*.f64 a b)
(*.f64 a (pow.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #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 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(/.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)))
(/.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)))
(*.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 (*.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))))))
(+.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))))
Outputs
#s(approx eps #s(literal 0 binary64))
#s(approx a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ 1 a) (/.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 (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 (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (* a b) (*.f64 a b))
#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) 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 (* (pow a 2) (pow b 2)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#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 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 (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (-.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 (pow (+ a b) 2) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b a)))))
#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 (+ (* 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) (* a b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (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 (* (+ 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))))
#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 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.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 (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 (/ (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 #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 (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 (+ (* 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) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#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 (* (+ 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))))
#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 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 a #s(literal 2 binary64)))))))
#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 (+ (* 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 (/ (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 (* (+ 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))))
#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 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 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 (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 eps)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+.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))))
#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 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
7.0ms
b
-inf
5.0ms
a
inf
5.0ms
a
0
5.0ms
b
inf
5.0ms
b
0

rewrite151.0ms (1.4%)

Memory
7.3MiB live, 75.2MiB allocated; 6ms 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
(+.f64 a b)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.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) 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) b))
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(*.f64 a b)
(*.f64 a (pow.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #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 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(/.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)))
(/.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)))
(*.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 (*.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))))))
(+.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))))
Outputs
eps
a
b
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a)
(*.f64 (-.f64 (/.f64 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 (*.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 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 (neg.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 (neg.f64 (+.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 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 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) 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 -2 binary64) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (/.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)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(*.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)))
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(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (+.f64 b a))
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(-.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 eps) (-.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 b a) (*.f64 b a)) (neg.f64 (*.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 (*.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 (neg.f64 (+.f64 b a)) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) b) (*.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 (-.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 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (+.f64 (*.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 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 (+.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 (-.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 b a) (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (*.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 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (*.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)))
#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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) (+.f64 b a)) (*.f64 (/.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 b a)) #s(literal 1/2 binary64))) eps)))

eval65.0ms (0.6%)

Memory
2.5MiB live, 65.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 49 252 to 4 670 computations (90.5% saved)

prune12.0ms (0.1%)

Memory
-4.3MiB live, 12.8MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 02031 023
Fresh000
Picked134
Done000
Total1 02161 027
Accuracy
100.0%
Counts
1 027 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
36.6%
#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)))
44.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
58.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
Compiler

Compiled 34 to 16 computations (52.9% saved)

series20.0ms (0.2%)

Memory
3.8MiB live, 18.7MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551737
Stop Event
iter-limit
Counts
17 → 29
Calls
Call 1
Inputs
a
b
#s(literal 1 binary64)
#s(approx (+ a b) b)
(/.f64 #s(literal 1 binary64) a)
#s(literal -1 binary64)
(*.f64 a b)
(*.f64 b a)
(+.f64 b a)
(/.f64 #s(literal -1 binary64) b)
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 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 #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 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) 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)))
Outputs
#s(approx a #s(literal 0 binary64))
#s(approx a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (* a b) (*.f64 a b))
#s(approx (/ 1 (* b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
#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 (+ a b) (*.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 (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 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) (/.f64 #s(literal -1 binary64) b))
#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 (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 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 (- (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 #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
1.0ms
a
inf
1.0ms
a
-inf
1.0ms
b
inf
1.0ms
b
-inf
1.0ms
b
0

rewrite121.0ms (1.1%)

Memory
-1.9MiB live, 53.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031154
040158
1234150
2975150
04144150
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 862
Calls
Call 1
Inputs
a
b
#s(literal 1 binary64)
#s(approx (+ a b) b)
(/.f64 #s(literal 1 binary64) a)
#s(literal -1 binary64)
(*.f64 a b)
(*.f64 b a)
(+.f64 b a)
(/.f64 #s(literal -1 binary64) b)
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 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 #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 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) 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)))
Outputs
a
b
#s(literal 1 binary64)
#s(approx (+ a b) b)
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 b (neg.f64 b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 b b))
(*.f64 (/.f64 b b) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 b)))
(*.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 (*.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 b #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 a #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 b b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) b)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) b)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) b)))
(/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (neg.f64 (/.f64 b b)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 b #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (neg.f64 (/.f64 b a)) (neg.f64 b))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (/.f64 b b) a)
(/.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 (neg.f64 a) b))
(/.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (neg.f64 a) b))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 b a) b)
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (*.f64 b #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (*.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 b 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)
(/.f64 b (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 b (*.f64 b a))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 a))))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) a))
#s(literal -1 binary64)
(*.f64 b a)
(*.f64 a b)
(*.f64 b a)
(*.f64 a b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 1 binary64)))) (*.f64 a #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) a)) a)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) a)
(*.f64 (/.f64 (+.f64 b a) a) a)
(*.f64 (/.f64 (+.f64 b a) b) b)
(*.f64 (+.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 b a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1 binary64) a) b))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) (*.f64 b b)) (-.f64 (*.f64 a #s(literal 1 binary64)) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a))) (-.f64 b (*.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))) (-.f64 b (*.f64 a #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))) (-.f64 b (neg.f64 (neg.f64 a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))) (-.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a)) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1 binary64) a) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 1 binary64)) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 #s(literal 1 binary64) a)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) (*.f64 b (*.f64 a #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) (*.f64 b (neg.f64 (neg.f64 a))))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) (*.f64 a (neg.f64 (neg.f64 b))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (neg.f64 a))) (+.f64 b (neg.f64 a)))
(/.f64 (-.f64 (*.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 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 (neg.f64 a) b))))
(/.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 (neg.f64 a) b))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (-.f64 (*.f64 b b) (*.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))))
(/.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))))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 b a)))
(neg.f64 (-.f64 (neg.f64 a) b))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 (*.f64 #s(literal 1 binary64) a) b)
(+.f64 (*.f64 a #s(literal 1 binary64)) b)
(+.f64 b (*.f64 #s(literal 1 binary64) a))
(+.f64 b (*.f64 a #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 (pow.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) b) #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))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))
(pow.f64 (neg.f64 b) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal -1 binary64) b)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 b))
(neg.f64 (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 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) a) #s(literal 3 binary64)) (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.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 #s(literal 1 binary64) (*.f64 b a)))))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.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 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (neg.f64 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 b a)) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))) (*.f64 (neg.f64 a) b))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (neg.f64 b)))
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(/.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) (*.f64 b a))
(/.f64 (+.f64 b a) (*.f64 (neg.f64 (neg.f64 a)) b))
(/.f64 (+.f64 b a) (*.f64 (neg.f64 (neg.f64 b)) a))
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (*.f64 (+.f64 b a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (*.f64 #s(literal -1 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (neg.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (-.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (neg.f64 a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (neg.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.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 (*.f64 b a) (-.f64 b (*.f64 #s(literal -1 binary64) a))))
(neg.f64 (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (neg.f64 b)) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 b))) (/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) b)) (/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 a) b)))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) b)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a))) a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 a) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 a (*.f64 b a))))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 (neg.f64 b)) (*.f64 b a)))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (neg.f64 a)) (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) a)) (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(approx (+ a b) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 #s(approx (+ a b) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (*.f64 #s(approx (+ a b) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(approx (+ a b) b) b) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ a b) b) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (neg.f64 (neg.f64 #s(approx (+ a b) b))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(approx (+ a b) b) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(approx (+ a b) b))
(*.f64 #s(approx (+ a b) b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (neg.f64 #s(approx (+ a b) b)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 #s(approx (+ a b) b)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ a b) b)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (*.f64 #s(approx (+ a b) b) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ a b) b) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) b)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) a))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ a b) b)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b))))
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal -1 binary64)) (*.f64 (neg.f64 a) b))
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal 1 binary64)) (*.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal 1 binary64)) (*.f64 b a))
(/.f64 (/.f64 #s(approx (+ a b) b) b) a)
(/.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ a b) b))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (/.f64 #s(approx (+ a b) b) a) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 #s(approx (+ a b) b) a) b)
(/.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 (neg.f64 a) b))
(/.f64 #s(approx (+ a b) b) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 #s(approx (+ a b) b) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (*.f64 #s(approx (+ a b) b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 #s(approx (+ a b) b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(approx (+ a b) b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (neg.f64 (/.f64 #s(approx (+ a b) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 a) b)) (neg.f64 (neg.f64 #s(approx (+ a b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(approx (+ a b) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (neg.f64 #s(approx (+ a b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(approx (+ a b) b)))
(neg.f64 (/.f64 #s(approx (+ a b) b) (*.f64 (neg.f64 a) b)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 b a)))

eval39.0ms (0.4%)

Memory
-2.4MiB live, 40.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 9 322 to 1 538 computations (83.5% saved)

prune7.0ms (0.1%)

Memory
2.3MiB live, 12.1MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5630563
Fresh000
Picked033
Done033
Total5636569
Accuracy
100.0%
Counts
569 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
36.6%
#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)))
44.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
55.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
58.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
Compiler

Compiled 34 to 16 computations (52.9% saved)

regimes25.0ms (0.2%)

Memory
0.0MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
1 → 1
5 → 2
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 2
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.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 #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 #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 #s(literal 1 binary64) a) (/.f64 #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 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
Calls

12 calls:

3.0ms
eps
3.0ms
a
3.0ms
b
2.0ms
eps
2.0ms
a
Results
AccuracySegmentsBranch
55.8%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
55.8%1eps
55.8%1a
55.8%1b
61.1%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
80.6%3a
84.0%2b
78.8%3eps
100.0%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
100.0%1a
100.0%1b
100.0%1eps
Compiler

Compiled 188 to 108 computations (42.6% saved)

bsearch12.0ms (0.1%)

Memory
-4.3MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.179891359241614e-165
1.4504124137976143e-164
Samples
7.0ms96×0valid
Compiler

Compiled 63 to 53 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-expm1: 2.0ms (48.0% of total, 0.4 MiB)
ival-mult!: 2.0ms (48.0% of total, 0.3 MiB)
adjust: 0.0ms (0.0% of total, 0.0 MiB)
ival-add!: 0.0ms (0.0% of total, 0.1 MiB)
ival-div!: 0.0ms (0.0% of total, 0.0 MiB)

derivations14.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 20 to 11 computations (45.0% saved)

preprocess18.0ms (0.2%)

Memory
3.9MiB live, 18.9MiB allocated; 2ms collecting garbage
Symmetry

(sort a b)

Compiler

Compiled 92 to 67 computations (27.2% saved)

end0.0ms (0.0%)

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

Profiling

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