expq3 (problem 3.4.2)

Time bar (total: 14.2s)

start0.0ms (0.0%)

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

analyze152.0ms (1.1%)

Memory
-3.8MiB live, 198.2MiB allocated; 53ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.4%74.6%0.0%0.0%0.0%0
0.0%0.0%25.4%74.6%0.0%0.0%0.0%1
0.0%0.0%25.4%74.6%0.0%0.0%0.0%2
0.0%0.0%25.4%74.6%0.0%0.0%0.0%3
0.0%0.0%22.2%74.6%0.0%3.2%0.0%4
0.0%0.0%20.6%74.6%0.0%4.8%0.0%5
0.0%0.0%18.3%74.6%0.0%7.1%0.0%6
0.0%0.0%10.7%74.6%0.0%14.7%0.0%7
0.0%0.0%9.3%74.6%0.0%16.1%0.0%8
0.0%0.0%8.2%74.6%0.0%17.2%0.0%9
0.0%0.0%5.7%74.6%0.0%19.7%0.0%10
0.0%0.0%5.0%74.6%0.0%20.4%0.0%11
0.0%0.0%4.4%74.6%0.0%21.0%0.0%12
Compiler

Compiled 52 to 27 computations (48.1% saved)

sample12.6s (88.6%)

Memory
286.5MiB live, 18 561.0MiB allocated; 6.0s collecting garbage
Samples
8.0s61 754×0invalid
945.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.2s
ival-mult!: 2.2s (36.2% of total)
ival-expm1: 1.3s (21.2% of total)
ival-div!: 945.0ms (15.3% of total)
ival-fabs: 597.0ms (9.7% of total)
ival-add!: 409.0ms (6.6% of total)
ival-<=: 367.0ms (5.9% of total)
ival-fmin: 148.0ms (2.4% of total)
ival-and: 130.0ms (2.1% of total)
ival-assert: 24.0ms (0.4% of total)
adjust: 14.0ms (0.2% of total)
Bogosity

preprocess36.0ms (0.2%)

Memory
0.1MiB live, 44.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

(sort a b)

Compiler

Compiled 48 to 34 computations (29.2% saved)

sample0.0ms (0.0%)

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

Compiled 3 to 3 computations (0.0% saved)

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

series69.0ms (0.5%)

Memory
45.8MiB live, 132.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05963705
Stop Event
iter-limit
Counts
17 → 110
Calls
Call 1
Inputs
eps
a
b
(+.f64 a b)
(*.f64 (+.f64 a b) eps)
(exp.f64 (*.f64 (+.f64 a b) eps))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
(*.f64 a eps)
(exp.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(*.f64 b eps)
(exp.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Outputs
#s(approx a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ a b) eps) (*.f64 b eps))
#s(approx (* (+ a b) eps) (fma.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 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (exp.f64 (*.f64 b eps)))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 b eps)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 b eps))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (*.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))))) (*.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 b eps))))))) (*.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (+ a b) (*.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) (expm1.f64 (*.f64 eps (+.f64 a b))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))
#s(approx (exp (* a eps)) (exp.f64 (*.f64 a eps)))
#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps)))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (* (+ a b) eps) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b eps) a))))))
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 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 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (*.f64 eps (exp.f64 (*.f64 a eps))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (exp.f64 (*.f64 a eps)))))))
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (exp.f64 (*.f64 a eps)))))))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (*.f64 eps (exp.f64 (*.f64 a eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64)))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 a eps))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (*.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b eps)))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 eps (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 b (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 b (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (*.f64 eps (expm1.f64 (*.f64 a eps)))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 a eps)))) (*.f64 eps (expm1.f64 (*.f64 a eps))))))
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 a eps))))) (*.f64 eps (expm1.f64 (*.f64 a eps))))))
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Calls

9 calls:

TimeVariablePoint
10.0ms
eps
0
5.0ms
eps
inf
4.0ms
eps
-inf
4.0ms
b
0
3.0ms
a
0

rewrite225.0ms (1.6%)

Memory
-14.6MiB live, 312.6MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
03099
114199
252199
3283299
0416581
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 512
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))) (fma.f64 b b (fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) (+.f64 a (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (neg.f64 b)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(neg.f64 (-.f64 (neg.f64 a) b))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 b))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b a)
(+.f64 a b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) (*.f64 b eps))) (*.f64 b eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) (*.f64 a eps))) (*.f64 a eps))
(*.f64 (+.f64 b a) eps)
(*.f64 eps (+.f64 b a))
(/.f64 (-.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (*.f64 (*.f64 a eps) (*.f64 a eps))) (-.f64 (*.f64 b eps) (*.f64 a eps)))
(/.f64 (-.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (*.f64 (*.f64 b eps) (*.f64 b eps))) (-.f64 (*.f64 a eps) (*.f64 b eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 b eps) #s(literal 3 binary64)) (pow.f64 (*.f64 a eps) #s(literal 3 binary64))) (fma.f64 (*.f64 b eps) (*.f64 b eps) (-.f64 (*.f64 (*.f64 a eps) (*.f64 a eps)) (*.f64 (*.f64 b eps) (*.f64 a eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a eps) #s(literal 3 binary64)) (pow.f64 (*.f64 b eps) #s(literal 3 binary64))) (fma.f64 (*.f64 a eps) (*.f64 a eps) (-.f64 (*.f64 (*.f64 b eps) (*.f64 b eps)) (*.f64 (*.f64 a eps) (*.f64 b eps)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))
(fma.f64 b eps (*.f64 a eps))
(fma.f64 a eps (*.f64 b eps))
(fma.f64 eps b (*.f64 a eps))
(fma.f64 eps a (*.f64 b eps))
(-.f64 (*.f64 b eps) (*.f64 (neg.f64 a) eps))
(-.f64 (*.f64 a eps) (*.f64 (neg.f64 b) eps))
(+.f64 (*.f64 b eps) (*.f64 a eps))
(+.f64 (*.f64 a eps) (*.f64 b eps))
(*.f64 (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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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))) (fma.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))) (fma.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)) (fma.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 (fma.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 (fma.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 (fma.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 (fma.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)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps))))))
(/.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)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) (-.f64 (neg.f64 a) b)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))
(neg.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))
(-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (cosh.f64 (*.f64 (+.f64 b a) eps))))
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 (+.f64 b a) eps))) (sinh.f64 (*.f64 (+.f64 b a) eps))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) (neg.f64 (exp.f64 (*.f64 a eps)))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) (exp.f64 (*.f64 a eps))))
(fabs.f64 (*.f64 (exp.f64 (*.f64 b eps)) (neg.f64 (exp.f64 (*.f64 a eps)))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 a eps))) (neg.f64 (exp.f64 (*.f64 b eps)))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 a eps))) (exp.f64 (*.f64 b eps))))
(fabs.f64 (*.f64 (exp.f64 (*.f64 a eps)) (neg.f64 (exp.f64 (*.f64 b eps)))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))
(fabs.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))
(exp.f64 (/.f64 (fma.f64 (+.f64 b a) eps (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (+.f64 b a) eps (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 b a))) eps))
(exp.f64 (*.f64 (+.f64 b a) eps))
(+.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))
(+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (+.f64 b a) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) (exp.f64 (*.f64 (+.f64 b a) eps)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))))
(expm1.f64 (/.f64 (fma.f64 (+.f64 b a) eps (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)))
(neg.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps)))
(fma.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))))
(fma.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps)))
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))))
(+.f64 (*.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (/.f64 (neg.f64 eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))

eval51.0ms (0.4%)

Memory
-33.2MiB live, 93.5MiB allocated; 28ms collecting garbage
Compiler

Compiled 20 068 to 2 896 computations (85.6% saved)

prune8.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6026608
Fresh000
Picked101
Done000
Total6036609
Accuracy
98.3%
Counts
609 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.0%
(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
10.2%
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
60.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
44.1%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
45.5%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
54.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Compiler

Compiled 152 to 126 computations (17.1% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series113.0ms (0.8%)

Memory
-16.6MiB live, 264.9MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010407648
Stop Event
iter-limit
Counts
27 → 140
Calls
Call 1
Inputs
a
b
(+.f64 a b)
(*.f64 a b)
(/.f64 (+.f64 a b) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(literal 1 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))
(+.f64 b a)
eps
(*.f64 (+.f64 b a) eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 b eps)
(expm1.f64 (*.f64 b eps))
(*.f64 a eps)
(expm1.f64 (*.f64 a eps))
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))
(neg.f64 eps)
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps))
(neg.f64 (expm1.f64 (*.f64 a eps)))
(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
Outputs
#s(approx a a)
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* a b) (*.f64 a b))
#s(approx (/ (+ a b) (* a b)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (* (+ b a) eps) (*.f64 b eps))
#s(approx (* (+ b a) eps) (fma.f64 a eps (*.f64 b eps)))
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 b eps)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64)))
#s(approx (* a eps) (*.f64 a eps))
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (*.f64 a (*.f64 eps (expm1.f64 (*.f64 b eps)))))
#s(approx (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))))) (*.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 b eps))))))) (*.f64 eps (expm1.f64 (*.f64 b eps))))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 a eps)))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))))))))))))) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))))))
#s(approx (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (*.f64 #s(literal -1 binary64) eps))
#s(approx (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))))))
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#s(approx eps eps)
#s(approx (* (+ b a) eps) (*.f64 eps (+.f64 a b)))
#s(approx (- (exp (* (+ b a) eps)) 1) (*.f64 eps (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))
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#s(approx (- (exp (* b eps)) 1) (*.f64 eps (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps)))))
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#s(approx (- (exp (* a eps)) 1) (*.f64 eps (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)))))
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#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (+.f64 a b) b))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 a b))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 a b))))
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 a b))))
#s(approx (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 a b)) b)))
#s(approx (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b)))))
#s(approx (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))
#s(approx (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))))))))
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)) a)))
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) a)))
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) eps)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) a)))
#s(approx (/ (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (neg (- (exp (* a eps)) 1))) (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (neg (- (exp (* a eps)) 1))) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (neg eps)) (neg (- (exp (* a eps)) 1))) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 a b)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Calls

9 calls:

TimeVariablePoint
14.0ms
b
inf
7.0ms
eps
0
7.0ms
a
0
6.0ms
a
-inf
6.0ms
b
-inf

rewrite183.0ms (1.3%)

Memory
1.5MiB live, 427.6MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040222
063214
1281214
2986214
04038214
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 850
Calls
Call 1
Inputs
a
b
(+.f64 a b)
(*.f64 a b)
(/.f64 (+.f64 a b) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(literal 1 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))
(+.f64 b a)
eps
(*.f64 (+.f64 b a) eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 b eps)
(expm1.f64 (*.f64 b eps))
(*.f64 a eps)
(expm1.f64 (*.f64 a eps))
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))
(neg.f64 eps)
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps))
(neg.f64 (expm1.f64 (*.f64 a eps)))
(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
Outputs
a
b
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) b)) b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) a)) a)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal 1 binary64) (/.f64 a b)) b)
(/.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 b #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64))) (fma.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))) (fma.f64 a a (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) (*.f64 a (neg.f64 (neg.f64 b))))))
(/.f64 (-.f64 (*.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))) (fma.f64 b b (fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 b) a))))
(/.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))) (fma.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))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 b (neg.f64 (neg.f64 (neg.f64 a))))
(-.f64 b (neg.f64 a))
(-.f64 a (neg.f64 (neg.f64 (neg.f64 b))))
(-.f64 a (neg.f64 b))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b a)
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
(*.f64 b a)
(*.f64 a b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 a) (*.f64 b a)) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 b (*.f64 b a))) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 b) (*.f64 b a)) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
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(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(/.f64 (*.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a))))) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps a))) (neg.f64 (expm1.f64 (*.f64 eps b)))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a)))) (/.f64 eps (expm1.f64 (*.f64 eps a)))) (neg.f64 (expm1.f64 (*.f64 eps b))))
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) (expm1.f64 (*.f64 eps a))) (neg.f64 (expm1.f64 (*.f64 eps b))))
(/.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (expm1.f64 (*.f64 eps a))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a)))) (neg.f64 eps)) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a)))) (neg.f64 eps)) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (*.f64 eps a))))) (neg.f64 (expm1.f64 (*.f64 eps b))))
(/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a))))))
(/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (expm1.f64 (*.f64 eps a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (*.f64 eps a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (expm1.f64 (*.f64 eps b))) (expm1.f64 (*.f64 eps a)))
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps b)))) (neg.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 eps a))) (*.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps b)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 eps b)) (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a)))) (/.f64 eps (expm1.f64 (*.f64 eps a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (expm1.f64 (*.f64 eps a))) (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 eps (+.f64 b a)))) (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (neg.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (*.f64 eps a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 eps a)) (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (expm1.f64 (*.f64 eps b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 eps b)) (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 eps (expm1.f64 (*.f64 eps a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 eps b))) (expm1.f64 (*.f64 eps a))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 eps a))) (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps b))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps b))))
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 eps (+.f64 b a)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(+.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 eps (+.f64 b a)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) (/.f64 (*.f64 eps #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))) (/.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

eval108.0ms (0.8%)

Memory
12.5MiB live, 278.7MiB allocated; 83ms collecting garbage
Compiler

Compiled 28 407 to 3 969 computations (86.0% saved)

prune16.0ms (0.1%)

Memory
2.6MiB live, 47.5MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9544958
Fresh101
Picked505
Done-330
Total9577964
Accuracy
100.0%
Counts
964 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
35.2%
#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)))
45.5%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
54.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Compiler

Compiled 50 to 53 computations (-6.0% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series34.0ms (0.2%)

Memory
-7.2MiB live, 84.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581619
Stop Event
iter-limit
Counts
22 → 35
Calls
Call 1
Inputs
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) a)
b
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 a b)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(/.f64 b a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
#s(approx (+ a b) b)
(*.f64 a b)
(/.f64 #s(approx (+ a b) b) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
Outputs
#s(approx a a)
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ a b) (/.f64 a b))
#s(approx (+ 1 (/ a b)) #s(literal 1 binary64))
#s(approx (+ 1 (/ a b)) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (+ 1 (/ b a)) (/.f64 (+.f64 a b) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* a b) (*.f64 a b))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) b))
#s(approx (+ (/ 1 a) (/ 1 b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (+ 1 (/ a b)) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ 1 (/ b a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (+ (/ 1 a) (/ 1 b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (+ 1 (/ a b)) (/.f64 (+.f64 a b) b))
#s(approx (+ 1 (/ b a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Calls

9 calls:

TimeVariablePoint
4.0ms
b
-inf
3.0ms
eps
inf
3.0ms
a
-inf
2.0ms
a
inf
2.0ms
b
inf

rewrite204.0ms (1.4%)

Memory
-4.1MiB live, 435.6MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038262
049262
1276262
21299262
04205238
Stop Event
iter-limit
node-limit
iter-limit
Counts
22 → 1 794
Calls
Call 1
Inputs
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) a)
b
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 a b)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(/.f64 b a)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
#s(approx (+ a b) b)
(*.f64 a b)
(/.f64 #s(approx (+ a b) b) (*.f64 a b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
Outputs
#s(literal 1 binary64)
a
(*.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 2 binary64) (*.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 a))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 0 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 a))))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) a))
b
(*.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 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.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 2 binary64) (*.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)))
(/.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) b)
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 0 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b))))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) b))
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b))))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (/.f64 (+.f64 b a) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 (/.f64 (+.f64 b a) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 (+.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (-.f64 (neg.f64 b) a) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b a) b))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a)))) (-.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a))))
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))) (-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (neg.f64 (/.f64 b (*.f64 b a))) (neg.f64 (/.f64 b (*.f64 b a))))) (+.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a)))))
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 (neg.f64 b) (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))) (+.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)))) (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 (/.f64 b (*.f64 b a))) (neg.f64 (/.f64 b (*.f64 b a))))) (+.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (/.f64 b (*.f64 b a)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (/.f64 #s(literal 1 binary64) a))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) b) (/.f64 (/.f64 (neg.f64 b) a) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (neg.f64 b) a) b)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 (neg.f64 (/.f64 a (*.f64 b a))) (neg.f64 (/.f64 a (*.f64 b a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 a (*.f64 b a)))))
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(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.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 (*.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))) (*.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 a (neg.f64 (neg.f64 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) b)
(/.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 (neg.f64 a) b))
(/.f64 #s(approx (+ a b) b) (*.f64 b a))
(/.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)))

eval85.0ms (0.6%)

Memory
6.1MiB live, 236.6MiB allocated; 31ms collecting garbage
Compiler

Compiled 14 210 to 3 748 computations (73.6% saved)

prune15.0ms (0.1%)

Memory
0.9MiB live, 47.1MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New8201821
Fresh000
Picked404
Done-473
Total8208828
Accuracy
100.0%
Counts
828 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
60.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
35.2%
#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)))
45.5%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
54.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Compiler

Compiled 57 to 60 computations (-5.3% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series22.0ms (0.2%)

Memory
14.9MiB live, 61.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521574
Stop Event
iter-limit
Counts
6 → 30
Calls
Call 1
Inputs
b
#s(approx (+ a b) b)
a
(/.f64 #s(approx (+ a b) b) a)
(/.f64 (/.f64 #s(approx (+ a b) b) a) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
Outputs
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (/ (+ a b) a) (/.f64 b a))
#s(approx (/ (+ a b) a) (/.f64 (+.f64 a b) a))
#s(approx (/ (/ (+ a b) a) b) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (/ (+ a b) a) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (/ (+ a b) a) #s(literal 1 binary64))
#s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b 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 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (+ a b) (*.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 (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (/ (+ a b) a) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (/ (+ a b) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Calls

9 calls:

TimeVariablePoint
3.0ms
b
inf
1.0ms
a
-inf
1.0ms
b
-inf
1.0ms
a
inf
1.0ms
eps
-inf

rewrite139.0ms (1.0%)

Memory
-8.3MiB live, 269.9MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02157
02357
114957
258957
3322057
0400251
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 91
Calls
Call 1
Inputs
b
#s(approx (+ a b) b)
a
(/.f64 #s(approx (+ a b) b) a)
(/.f64 (/.f64 #s(approx (+ a b) b) a) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
Outputs
b
(*.f64 #s(literal 1 binary64) #s(approx (+ a b) b))
(*.f64 #s(approx (+ a b) b) #s(literal 1 binary64))
#s(approx (+ a b) b)
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (+ a b) b) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ a b) b)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a b) b) (*.f64 #s(approx (+ a b) b) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (+ a b) b) (*.f64 #s(literal 0 binary64) #s(approx (+ a b) b)))
(fma.f64 #s(approx (+ a b) b) #s(literal 1 binary64) (*.f64 #s(approx (+ a b) b) #s(literal 0 binary64)))
(fma.f64 #s(approx (+ a b) b) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ a b) b)))
(+.f64 #s(approx (+ a b) b) (*.f64 #s(approx (+ a b) b) #s(literal 0 binary64)))
(+.f64 #s(approx (+ a b) b) (*.f64 #s(literal 0 binary64) #s(approx (+ a b) b)))
a
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (+ a b) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ a b) b))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ a b) b) a))
(*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 1 binary64))
(*.f64 #s(approx (+ a b) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ a b) b)) (neg.f64 a))
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 #s(approx (+ a b) b)) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (+ a b) b) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ a b) b)) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (neg.f64 #s(approx (+ a b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ a b) b)))
(/.f64 #s(approx (+ a b) b) a)
(neg.f64 (*.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 a)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (+ a b) b)) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ a b) b) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ a b) b) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(fma.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(fma.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ a b) b) a) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ a b) b) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(fma.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(fma.f64 #s(approx (+ a b) b) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(fma.f64 #s(approx (+ a b) b) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(+.f64 (/.f64 #s(approx (+ a b) b) a) (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(approx (+ a b) b) a) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ a b) b) a)))
(*.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(approx (+ a b) b) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(approx (+ a b) b) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(approx (+ a b) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(approx (+ a b) b) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(approx (+ a b) b) b))
(*.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 a)))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
(*.f64 (/.f64 #s(approx (+ a b) b) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(approx (+ a b) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ a b) b) a)) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 #s(literal -1 binary64) b)) a)
(/.f64 (*.f64 #s(approx (+ a b) b) (/.f64 #s(literal -1 binary64) b)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 a)) #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(approx (+ a b) b) a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ a b) b))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ a b) b)) (*.f64 (neg.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 #s(approx (+ a b) b) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) b))) a)
(/.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) b)) (neg.f64 a))
(/.f64 (/.f64 #s(approx (+ a b) b) b) a)
(/.f64 (/.f64 #s(approx (+ a b) b) (neg.f64 a)) (neg.f64 b))
(/.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 (neg.f64 b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (neg.f64 (/.f64 #s(approx (+ a b) b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(approx (+ a b) b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) a) (neg.f64 #s(approx (+ a b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (/.f64 #s(approx (+ a b) b) (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) #s(approx (+ a b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(approx (+ a b) b) a)))
(/.f64 (/.f64 #s(approx (+ a b) b) a) b)
(/.f64 #s(approx (+ a b) b) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(approx (+ a b) b) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 #s(approx (+ a b) b) (*.f64 a b))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(approx (+ a b) b) (neg.f64 a))))
(neg.f64 (/.f64 (neg.f64 (/.f64 #s(approx (+ a b) b) b)) a))
(neg.f64 (/.f64 (neg.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)))

eval14.0ms (0.1%)

Memory
-9.7MiB live, 33.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 259 to 537 computations (76.2% saved)

prune5.0ms (0.0%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1150115
Fresh000
Picked101
Done-187
Total1158123
Accuracy
100.0%
Counts
123 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
60.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
35.2%
#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)))
45.5%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
54.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
100.0%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Compiler

Compiled 57 to 60 computations (-5.3% saved)

regimes70.0ms (0.5%)

Memory
5.2MiB live, 96.1MiB allocated; 52ms collecting garbage
Counts
1 → 1
5 → 2
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Call 2
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ a b) b) a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
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 #s(approx (+ a b) b) a) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #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))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)
(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (*.f64 a eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a))
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
Calls

12 calls:

33.0ms
eps
13.0ms
eps
4.0ms
a
4.0ms
b
2.0ms
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
54.9%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
54.9%1eps
54.9%1a
54.9%1b
60.8%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))))
82.6%3a
85.7%2b
73.6%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 222 to 143 computations (35.6% saved)

bsearch24.0ms (0.2%)

Memory
-5.8MiB live, 38.5MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
4.4557671895958195e-216
2.309464805044018e-215
Samples
19.0ms96×0valid
Compiler

Compiled 75 to 103 computations (-37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div!: 12.0ms (73.9% of total)
ival-expm1: 2.0ms (12.3% of total)
ival-mult!: 2.0ms (12.3% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)

derivations16.0ms (0.1%)

Memory
-21.3MiB live, 21.8MiB allocated; 13ms collecting garbage
Stop Event
done
Compiler

Compiled 25 to 14 computations (44.0% saved)

preprocess30.0ms (0.2%)

Memory
46.0MiB live, 89.6MiB allocated; 10ms collecting garbage
Symmetry

(sort a b)

Compiler

Compiled 114 to 94 computations (17.5% saved)

end0.0ms (0.0%)

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

Profiling

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