Complex division, real part

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze31.0ms (0.8%)

Memory
-11.4MiB live, 35.4MiB allocated; 10ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.8s (50.1%)

Memory
-85.6MiB live, 1 262.6MiB allocated; 1.6s collecting garbage
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-add!: 826.0ms (67.5% of total)
ival-mult!: 297.0ms (24.3% of total)
ival-div!: 99.0ms (8.1% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

explain110.0ms (3%)

Memory
-39.5MiB live, 210.9MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-1(-6.889696908574838e-117 1.5325225299639265e-21 3.654067809415531e-157 -5.62349964517355e-174)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
20-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o530
(+.f64 (*.f64 a c) (*.f64 b d))overflow65
(*.f64 a c)overflow31
(*.f64 b d)overflow36
(+.f64 (*.f64 c c) (*.f64 d d))overflow118
(*.f64 c c)overflow63
(*.f64 d d)overflow69
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o300
(+.f64 (*.f64 c c) (*.f64 d d))overflow118
(*.f64 c c)overflow63
(*.f64 d d)overflow69
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n120
(+.f64 (*.f64 a c) (*.f64 b d))overflow65
(*.f64 a c)overflow31
(*.f64 b d)overflow36
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u100
(+.f64 (*.f64 c c) (*.f64 d d))underflow20
(*.f64 c c)underflow60
(*.f64 d d)underflow77
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue20
(*.f64 a c)overflow31
(*.f64 b d)overflow36
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u10
(+.f64 (*.f64 a c) (*.f64 b d))underflow1
(*.f64 a c)underflow24
(*.f64 b d)underflow29
(+.f64 (*.f64 c c) (*.f64 d d))underflow20
(*.f64 c c)underflow60
(*.f64 d d)underflow77
Confusion
Predicted +Predicted -
+1061
-0149
Precision
1.0
Recall
0.9906542056074766
Confusion?
Predicted +Predicted MaybePredicted -
+10601
-00149
Precision?
1.0
Recall?
0.9906542056074766
Freqs
test
numberfreq
0150
1104
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 9.0ms (65.7% of total)
ival-add!: 2.0ms (14.6% of total)
ival-div!: 2.0ms (14.6% of total)
adjust: 0.0ms (0% of total)

preprocess33.0ms (0.9%)

Memory
6.3MiB live, 53.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062229
1204225
2491225
3900225
41528225
51875225
01115
01815
13815
210015
319815
431015
543515
644115
044113
Stop Event
iter-limit
saturated
iter-limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.9%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

series19.0ms (0.5%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Counts
11 → 51
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
d
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms
a
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
1.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))

rewrite161.0ms (4.4%)

Memory
-18.4MiB live, 260.8MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481350
02571292
114631256
083481138
Stop Event
iter-limit
node-limit
iter-limit
Counts
62 → 161
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64))) (-.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 d b))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (+.f64 (neg.f64 (*.f64 d b)) (neg.f64 (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
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a
c
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx d d)
#s(approx (* d d) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) (/.f64 (*.f64 c a) d)) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c d) (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 (/.f64 (*.f64 c c) d) (/.f64 b d))) d))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* c c) (* d d)) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b))))

eval19.0ms (0.5%)

Memory
-15.8MiB live, 39.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 262 to 611 computations (85.7% saved)

prune9.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15613169
Fresh000
Picked101
Done000
Total15713170
Accuracy
99.6%
Counts
170 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
36.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
54.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
50.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
55.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
51.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
37.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
49.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
45.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
Compiler

Compiled 638 to 410 computations (35.7% saved)

series39.0ms (1.1%)

Memory
-19.1MiB live, 75.0MiB allocated; 3ms collecting garbage
Counts
23 → 127
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 b c)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx a #s(hole binary64 a))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ a c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx (/ b c) #s(hole binary64 (/ b c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx c #s(hole binary64 c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c))
5.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c))
3.0ms
b
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c))
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c))
3.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c))

rewrite173.0ms (4.7%)

Memory
24.8MiB live, 258.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05643445
05823205
132373193
092803097
Stop Event
iter-limit
node-limit
iter-limit
Counts
150 → 264
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 b c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx a #s(hole binary64 a))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ a c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx (/ b c) #s(hole binary64 (/ b c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx c #s(hole binary64 c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (neg.f64 c) (*.f64 (/.f64 b c) d))) (*.f64 (neg.f64 c) c))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
#s(approx (/ d c) (/.f64 d c))
#s(approx c c)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 b d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64))))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d)))
#s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (-.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 5 binary64))) (pow.f64 d #s(literal -3 binary64))) (*.f64 c c) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 7 binary64))) #s(literal -1 binary64) (pow.f64 d #s(literal -5 binary64))) (*.f64 c c)) (pow.f64 d #s(literal -3 binary64))) (*.f64 c c) (pow.f64 d #s(literal -1 binary64))))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (fma.f64 d d (*.f64 c c)))
#s(approx (* c c) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 b (pow.f64 (/.f64 d c) #s(literal 3 binary64))))) a) (*.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64)))) c))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (/.f64 b c) (/.f64 d c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) (*.f64 c c)))) (*.f64 c c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 d b (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) b) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) (*.f64 c c))) (*.f64 c c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 7 binary64)) b) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) b) (pow.f64 c #s(literal 4 binary64)))))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c)) #s(literal -1 binary64) d) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) d) (neg.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c))) (*.f64 c c)))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 d c) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 d c) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a)) c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx d d)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (*.f64 b (pow.f64 (/.f64 d (*.f64 c c)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (pow.f64 (/.f64 d (*.f64 c c)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 6 binary64))) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -6 binary64))) (*.f64 d d)) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 a (/.f64 c d) (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c d) (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d)) #s(literal -1 binary64) b) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 6 binary64)) b) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) b) (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64)))))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64)) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (/.f64 a c) d) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 c c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 d) (fma.f64 (/.f64 a d) #s(literal -1 binary64) (/.f64 (neg.f64 b) c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64)))))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 b (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (/.f64 a c) d) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 c c)))))

eval33.0ms (0.9%)

Memory
-32.7MiB live, 68.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 8 676 to 1 104 computations (87.3% saved)

prune17.0ms (0.5%)

Memory
12.8MiB live, 55.5MiB allocated; 3ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New26710277
Fresh178
Picked235
Done000
Total27020290
Accuracy
99.6%
Counts
290 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
33.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
19.0%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
29.4%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
50.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
55.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
51.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
35.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
44.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
22.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
37.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
26.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))))
19.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
45.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
21.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
Compiler

Compiled 977 to 604 computations (38.2% saved)

series67.0ms (1.8%)

Memory
11.4MiB live, 101.8MiB allocated; 36ms collecting garbage
Counts
24 → 140
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c)
#s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
(/.f64 (fma.f64 d b (*.f64 c a)) c)
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (/ (* b d) c)))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 a))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ b d) #s(hole binary64 (/ b d)))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

TimeVariablePointExpression
22.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* d b) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ (+ (* d b) (* c a)) c) (+ (* d b) (* c a)) (* c a))
18.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* d b) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ (+ (* d b) (* c a)) c) (+ (* d b) (* c a)) (* c a))
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* d b) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ (+ (* d b) (* c a)) c) (+ (* d b) (* c a)) (* c a))
3.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* d b) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ (+ (* d b) (* c a)) c) (+ (* d b) (* c a)) (* c a))
3.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* d b) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ (+ (* d b) (* c a)) c) (+ (* d b) (* c a)) (* c a))

rewrite187.0ms (5.1%)

Memory
37.2MiB live, 222.4MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05513509
05683260
130463228
090993145
Stop Event
iter-limit
node-limit
iter-limit
Counts
164 → 261
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c)
#s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
(/.f64 (fma.f64 d b (*.f64 c a)) c)
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (/ (* b d) c)))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 a))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ b d) #s(hole binary64 (/ b d)))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* d b) (* c a)) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b))) (neg.f64 (neg.f64 d)))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) (neg.f64 d) (*.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) d (*.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (*.f64 (/.f64 c d) a))) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) d) (*.f64 d d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 (*.f64 (/.f64 c d) a) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (/.f64 c d) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (-.f64 (*.f64 (/.f64 c d) a) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b (*.f64 (/.f64 c d) a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) b)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 c d) a) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b (*.f64 (/.f64 c d) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) b))))
(fma.f64 (/.f64 c d) a b)
(fma.f64 a (/.f64 c d) b)
(+.f64 (*.f64 (/.f64 c d) a) b)
(+.f64 b (*.f64 (/.f64 c d) a))
a
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 c) (neg.f64 d))
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 b) (neg.f64 d))
(/.f64 b d)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (neg.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
(*.f64 d b)
(*.f64 b d)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)))
(*.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)))
(*.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (fabs.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(fabs.f64 (*.f64 c c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (neg.f64 (*.f64 d b))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 d b)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 c c) (*.f64 d d))))
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#s(approx (/ (+ (* b (/ d c)) a) c) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a)) c)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx d d)
#s(approx (/ (* d b) (+ (* d d) (* c c))) (*.f64 (fma.f64 (*.f64 b (pow.f64 (/.f64 d (*.f64 c c)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))) #s(literal -1 binary64) b) d))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (*.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64) b) (fma.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (neg.f64 (*.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))))) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
#s(approx (/ (+ (* d b) (* c a)) c) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (neg.f64 b)) d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (neg.f64 (*.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))))) d)))
#s(approx (/ (* d b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 (*.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (/.f64 a c) d) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 c c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 d) (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 (neg.f64 a) d))))
#s(approx (/ (+ (* d b) (* c a)) c) (*.f64 (neg.f64 d) (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 (neg.f64 a) d))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))

eval36.0ms (1%)

Memory
-21.7MiB live, 70.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 858 to 1 175 computations (88.1% saved)

prune24.0ms (0.7%)

Memory
12.3MiB live, 55.5MiB allocated; 5ms collecting garbage
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New2879296
Fresh4812
Picked145
Done033
Total29224316
Accuracy
99.9%
Counts
316 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
24.0%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
19.0%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
50.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
55.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
51.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
48.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
44.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
22.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
39.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
25.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
37.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))))
19.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
33.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
22.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* d b) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d)))
37.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* d b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (neg.f64 b)) d))))
21.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
Compiler

Compiled 1 249 to 747 computations (40.2% saved)

series88.0ms (2.4%)

Memory
-18.1MiB live, 119.2MiB allocated; 54ms collecting garbage
Counts
29 → 166
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 a d)
a
d
(/.f64 c d)
c
(/.f64 b d)
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))))
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))
(pow.f64 d #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ a d) #s(hole binary64 (/ a d)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (* a (/ c (* d d))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* b d)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* a c)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ b d) #s(hole binary64 (/ b d)))
#s(approx b #s(hole binary64 b))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (/ c (* d d)) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx d #s(hole binary64 d))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (pow d -1) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
Calls

12 calls:

TimeVariablePointExpression
31.0ms
a
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) a d (/ c d) c (/ b d) b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (pow d -1) -1)
14.0ms
c
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) a d (/ c d) c (/ b d) b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (pow d -1) -1)
7.0ms
a
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) a d (/ c d) c (/ b d) b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (pow d -1) -1)
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) a d (/ c d) c (/ b d) b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (pow d -1) -1)
3.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) a d (/ c d) c (/ b d) b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (pow d -1) -1)

rewrite174.0ms (4.8%)

Memory
27.6MiB live, 120.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05924806
06104541
131924533
090044283
Stop Event
iter-limit
node-limit
iter-limit
Counts
195 → 324
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 a d)
a
d
(/.f64 c d)
c
(/.f64 b d)
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))))
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))
(pow.f64 d #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ a d) #s(hole binary64 (/ a d)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (* a (/ c (* d d))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* b d)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* a c)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ b d) #s(hole binary64 (/ b d)))
#s(approx b #s(hole binary64 b))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (/ c (* d d)) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx d #s(hole binary64 d))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (pow d -1) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* c a) (* d b)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
Outputs
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 a d) c) (neg.f64 d) (*.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (*.f64 (/.f64 a d) c) d (*.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (neg.f64 d) (*.f64 (neg.f64 (*.f64 d d)) (neg.f64 b))) (*.f64 (neg.f64 (*.f64 d d)) (neg.f64 d)))
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) d (*.f64 (neg.f64 (*.f64 d d)) b)) (*.f64 (neg.f64 (*.f64 d d)) d))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) (neg.f64 d) (*.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) d (*.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (*.f64 c a) (neg.f64 d) (*.f64 (*.f64 d d) (neg.f64 b))) (pow.f64 (neg.f64 d) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 c a) d (*.f64 (*.f64 d d) b)) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (*.f64 (/.f64 a d) c))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (*.f64 d d)) (*.f64 (neg.f64 d) (neg.f64 (*.f64 c a)))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 d d))))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (*.f64 (/.f64 c d) a))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 (neg.f64 d) (*.f64 c a))) (pow.f64 (neg.f64 d) #s(literal 3 binary64)))
(/.f64 (fma.f64 d b (*.f64 d (*.f64 (/.f64 a d) c))) (*.f64 d d))
(/.f64 (fma.f64 b (neg.f64 (*.f64 d d)) (*.f64 d (neg.f64 (*.f64 c a)))) (*.f64 d (neg.f64 (*.f64 d d))))
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#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 d c)) #s(literal -1 binary64) (/.f64 (neg.f64 a) (*.f64 d d)))))
#s(approx (+ (* c a) (* d b)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (+ (* c a) (* d b)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
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#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d))
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#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 6 binary64))) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -6 binary64))) (*.f64 d d)) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (pow d -1) (pow.f64 d #s(literal -1 binary64)))
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#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
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#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* c a) (* d b)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
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#s(approx (+ (* c a) (* d b)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
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#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d)) #s(literal -1 binary64) b) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 6 binary64)) b) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) b) (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64)))))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64)) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) d))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
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#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (+ (* c a) (* d b)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
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#s(approx (+ (* c a) (* d b)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64)))))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 b (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) d)))

eval34.0ms (0.9%)

Memory
-11.0MiB live, 36.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 11 086 to 1 264 computations (88.6% saved)

prune21.0ms (0.6%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New3036309
Fresh4812
Picked235
Done077
Total30924333
Accuracy
99.9%
Counts
333 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
24.0%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
19.0%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
45.7%
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
25.2%
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 (/.f64 c d) d) a)))
55.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
51.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
48.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
44.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
22.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
37.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
19.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
33.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
25.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
22.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
24.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
22.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* d b) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d)))
37.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* d b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (neg.f64 b)) d))))
21.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
Compiler

Compiled 1 848 to 621 computations (66.4% saved)

regimes52.0ms (1.4%)

Memory
0.6MiB live, 46.7MiB allocated; 2ms collecting garbage
Counts
39 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* d b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (neg.f64 b)) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* d b) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 b (pow.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
Calls

5 calls:

11.0ms
d
10.0ms
c
10.0ms
a
10.0ms
b
9.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
75.9%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
67.8%4a
68.9%4b
82.7%4c
85.9%5d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes10.0ms (0.3%)

Memory
-36.8MiB live, 9.4MiB allocated; 2ms collecting garbage
Counts
30 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
85.5%5d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes16.0ms (0.4%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Calls

2 calls:

7.0ms
d
7.0ms
c
Results
AccuracySegmentsBranch
79.5%3c
80.8%3d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes13.0ms (0.4%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
23 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

6.0ms
c
6.0ms
d
Results
AccuracySegmentsBranch
77.7%4c
71.3%3d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes27.0ms (0.7%)

Memory
-27.6MiB live, 24.6MiB allocated; 5ms collecting garbage
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

4 calls:

9.0ms
d
6.0ms
c
6.0ms
b
5.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
63.0%4b
68.3%4d
56.3%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
68.7%4c
Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes9.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

2 calls:

4.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
68.3%4d
65.9%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes8.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 c a) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

2 calls:

4.0ms
d
4.0ms
a
Results
AccuracySegmentsBranch
54.3%3a
66.0%3d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

5 calls:

1.0ms
c
1.0ms
b
1.0ms
d
1.0ms
a
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
44.0%1a
44.0%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
44.0%1b
44.0%1c
44.0%1d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch50.0ms (1.4%)

Memory
-9.5MiB live, 36.8MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
7.395752990526136e+94
1.3331747998875148e+96
8.0ms
4.856964882837343e-74
3.1376234813271827e-73
14.0ms
-4.0430252587571536e-120
-1.4171070849848276e-126
13.0ms
-3.268652788918884e+156
-1.6736032073319966e+150
Samples
27.0ms496×0valid
Compiler

Compiled 1 259 to 902 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 9.0ms (64.1% of total)
ival-div!: 3.0ms (21.4% of total)
ival-add!: 2.0ms (14.3% of total)
adjust: 0.0ms (0% of total)

bsearch15.0ms (0.4%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3331747998875148e+96
9.470776952831981e+98
1.0ms
4.856964882837343e-74
3.1376234813271827e-73
1.0ms
-4.0430252587571536e-120
-1.4171070849848276e-126
1.0ms
-3.268652788918884e+156
-1.6736032073319966e+150
Samples
7.0ms128×0valid
Compiler

Compiled 1 266 to 914 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (61.6% of total)
ival-div!: 1.0ms (30.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch32.0ms (0.9%)

Memory
-22.6MiB live, 23.1MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.040462116590579e+35
7.873171685446805e+47
15.0ms
-2.01352331963552e+42
-1.740193440008815e+35
Samples
17.0ms304×0valid
Compiler

Compiled 930 to 626 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 5.0ms (63.7% of total)
ival-add!: 1.0ms (12.7% of total)
ival-div!: 1.0ms (12.7% of total)
adjust: 0.0ms (0% of total)

bsearch36.0ms (1%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.134794420974775e+147
2.0975603327209317e+151
13.0ms
1.894812178176837e-87
1.996701462517445e-79
8.0ms
-2.14151238016961e+74
-2.1187623955156992e+73
Samples
19.0ms368×0valid
Compiler

Compiled 1 086 to 743 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult!: 6.0ms (64.1% of total)
ival-div!: 2.0ms (21.4% of total)
ival-add!: 1.0ms (10.7% of total)
adjust: 0.0ms (0% of total)

bsearch18.0ms (0.5%)

Memory
-33.4MiB live, 12.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.134794420974775e+147
2.0975603327209317e+151
2.0ms
1.894812178176837e-87
1.996701462517445e-79
13.0ms
-2.1187623955156992e+73
-5.911817563664036e+68
Samples
9.0ms144×0valid
Compiler

Compiled 1 087 to 769 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (53.8% of total)
ival-add!: 2.0ms (35.9% of total)
ival-div!: 1.0ms (17.9% of total)
adjust: 0.0ms (0% of total)

bsearch33.0ms (0.9%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
7.395752990526136e+94
1.3331747998875148e+96
10.0ms
-2.9904296171117594e-14
-1.2609689573225846e-15
13.0ms
-2.5122258659684237e+163
-3.268652788918884e+156
Samples
17.0ms336×0valid
Compiler

Compiled 1 164 to 790 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult!: 6.0ms (69% of total)
ival-add!: 1.0ms (11.5% of total)
ival-div!: 1.0ms (11.5% of total)
adjust: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.395752990526136e+94
1.3331747998875148e+96
10.0ms
-1.3087555954563264e-12
-2.9904296171117594e-14
Samples
6.0ms112×0valid
Compiler

Compiled 550 to 410 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (67.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations153.0ms (4.2%)

Memory
-18.6MiB live, 72.7MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 704 to 97 computations (86.2% saved)

preprocess53.0ms (1.4%)

Memory
15.6MiB live, 59.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 510 to 256 computations (83% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...