quadm (p42, negative)

Time bar (total: 9.3s)

analyze142.0ms (1.5%)

Memory
-19.9MiB live, 228.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.8s (19.7%)

Memory
-8.5MiB live, 1 818.0MiB allocated
Samples
594.0ms5 503×0valid
315.0ms944×0invalid
234.0ms1 374×1valid
212.0ms1 200×2valid
43.0ms179×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 528.0ms (50.4% of total)
ival-sub: 133.0ms (12.7% of total)
ival-sqrt: 107.0ms (10.2% of total)
ival-div: 106.0ms (10.1% of total)
ival-neg: 81.0ms (7.7% of total)
adjust: 75.0ms (7.2% of total)
exact: 8.0ms (0.8% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess201.0ms (2.2%)

Memory
1.5MiB live, 124.4MiB allocated
Algorithm
1×egg-herbie
Rules
1 418×times-frac
1 146×distribute-rgt-in
1 120×lower-fma.f64
1 120×lower-fma.f32
974×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1189151
2590147
31942144
44692144
55896144
66384144
76472144
86511144
96782144
01417
02317
14517
210417
324716
440916
574316
6157016
7208216
8224216
9231216
10232216
11232216
12232816
0232815
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))

explain188.0ms (2%)

Memory
21.9MiB live, 179.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
900-2(-8.683031026322726e-71 9.058036559232658e-215 3.1975301581111723e-246)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
470-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
140-1(7.470894521270418e-266 -1.6686740637356318e-181 1.2366720841075128e-238)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
10-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue830
↳(*.f64 b b)overflow64
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow24
↳(*.f64 a c)overflow24
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow83
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation470
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))u/n130
↳(*.f64 b b)underflow53
↳(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow21
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow36
↳(*.f64 a c)underflow36
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue50
↳(*.f64 b b)underflow53
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow36
↳(*.f64 a c)underflow36
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue10
↳(*.f64 b b)overflow64
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow24
↳(*.f64 a c)overflow24
Confusion
Predicted +Predicted -
+1102
-18126
Precision
0.859375
Recall
0.9821428571428571
Confusion?
Predicted +Predicted MaybePredicted -
+11002
-180126
Precision?
0.859375
Recall?
0.9821428571428571
Freqs
test
numberfreq
0128
1108
219
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms376×0valid
12.0ms74×1valid
11.0ms50×2valid
3.0ms12×3valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 12.0ms (33.9% of total)
ival-sub: 6.0ms (16.9% of total)
ival-div: 5.0ms (14.1% of total)
ival-sqrt: 5.0ms (14.1% of total)
adjust: 4.0ms (11.3% of total)
ival-neg: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify90.0ms (1%)

Memory
9.6MiB live, 47.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓cost-diff128
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Rules
1 120×lower-fma.f64
1 120×lower-fma.f32
744×lower-*.f32
736×lower-*.f64
456×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14570
210470
324769
440969
574369
6157069
7208269
8224269
9231269
10232269
11232269
12232869
0232865
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize61.0ms (0.7%)

Memory
-1.6MiB live, 37.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓accuracy95.0%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy82.8%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓accuracy67.6%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
31.0ms188×0valid
6.0ms37×1valid
5.0ms25×2valid
2.0ms6×3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.9% of total)
ival-sub: 3.0ms (16.9% of total)
ival-sqrt: 3.0ms (16.9% of total)
ival-div: 2.0ms (11.3% of total)
adjust: 2.0ms (11.3% of total)
ival-neg: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-23.6MiB live, 16.4MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))>
#<alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
Calls

36 calls:

TimeVariablePointExpression
15.0ms
b
@-inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
c
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
b
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
a
@-inf
(sqrt (- (* b b) (* 4 (* a c))))
1.0ms
b
@0
(sqrt (- (* b b) (* 4 (* a c))))

rewrite338.0ms (3.6%)

Memory
43.7MiB live, 311.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 318×lower-fma.f64
5 318×lower-fma.f32
4 626×lower-*.f32
4 618×lower-*.f64
3 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
02349
18149
259147
0809443
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 484
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 (*.f64 b b) (/.f64 b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1 binary64) b)
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(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))
(*.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(*.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (pow.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))

simplify467.0ms (5%)

Memory
-19.1MiB live, 297.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 868×lower-fma.f64
9 868×lower-fma.f32
7 984×lower-*.f64
7 984×lower-*.f32
2 264×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453114
117183085
257543046
081162886
Stop Event
1×iter limit
1×node limit
Counts
144 → 141
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Outputs
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(fma.f64 b (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))) b)
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(fma.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) (*.f64 b b)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(fma.f64 b (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) (neg.f64 c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/512 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))) (neg.f64 c))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (neg.f64 b))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))))) #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(*.f64 b (fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64)))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (neg.f64 b))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 a c)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)))) c)) c)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))

eval80.0ms (0.9%)

Memory
21.6MiB live, 135.7MiB allocated
Compiler

Compiled 24 364 to 2 138 computations (91.2% saved)

prune121.0ms (1.3%)

Memory
-41.7MiB live, 186.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New61213625
Fresh000
Picked101
Done000
Total61313626
Accuracy
90.6%
Counts
626 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.2%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
23.9%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
28.5%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
23.0%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
▶58.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
36.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
7.8%
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
28.9%
(/.f64 c (neg.f64 b))
▶37.1%
(/.f64 b (neg.f64 a))
36.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
36.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
▶37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
▶58.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
Compiler

Compiled 444 to 284 computations (36% saved)

simplify118.0ms (1.3%)

Memory
2.6MiB live, 84.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
✓cost-diff0
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))
✓cost-diff0
(/.f64 b a)
✓cost-diff896
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
✓cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
✓cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
✓cost-diff0
(neg.f64 a)
✓cost-diff0
(/.f64 b (neg.f64 a))
✓cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
✓cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
Rules
1 248×lower-fma.f32
1 242×lower-fma.f64
808×lower-*.f32
794×lower-*.f64
460×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030212
055211
1100211
2166211
3271208
4432208
5780208
61662208
72256208
82509208
92732208
102819208
112841208
122855208
132855208
142862208
02862208
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
b
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a c)
c
#s(literal -4 binary64)
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 b a)
b
a
#s(literal -1/2 binary64)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a c)
c
#s(literal -4 binary64)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))))
b
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 c (*.f64 #s(literal -4 binary64) a))
(*.f64 a c)
(*.f64 c a)
c
#s(literal -4 binary64)
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b a)
b
a
#s(literal -1/2 binary64)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 a #s(literal -2 binary64)))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 c (*.f64 #s(literal -4 binary64) a))
(*.f64 a c)
(*.f64 c a)
c
#s(literal -4 binary64)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)

localize174.0ms (1.9%)

Memory
5.4MiB live, 205.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))
✓accuracy99.6%
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
✓accuracy76.4%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
✓accuracy67.6%
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
✓accuracy99.6%
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
✓accuracy94.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
✓accuracy82.8%
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓accuracy67.6%
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 (/.f64 c b) (/.f64 b a))
✓accuracy100.0%
(/.f64 b (neg.f64 a))
✓accuracy100.0%
(neg.f64 a)
✓accuracy100.0%
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
✓accuracy95.0%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
✓accuracy82.8%
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
✓accuracy67.6%
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
Samples
45.0ms188×0valid
20.0ms30×2valid
13.0ms32×1valid
4.0ms6×3valid
Compiler

Compiled 227 to 34 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 15.0ms (29.8% of total)
ival-mult: 14.0ms (27.8% of total)
ival-add: 6.0ms (11.9% of total)
adjust: 5.0ms (9.9% of total)
ival-sqrt: 5.0ms (9.9% of total)
ival-sub: 3.0ms (6% of total)
ival-neg: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
10.6MiB live, 49.3MiB allocated
Counts
15 → 480
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))>
#<alt (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))>
#<alt (neg.f64 a)>
#<alt (/.f64 b (neg.f64 a))>
#<alt (-.f64 (/.f64 c b) (/.f64 b a))>
#<alt (/.f64 b a)>
#<alt (/.f64 c b)>
#<alt (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))>
#<alt (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))>
#<alt (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))>
#<alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))>
#<alt (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))>
Outputs
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
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#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
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#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 2 b)>
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#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (/ b a))>
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* -1 (/ b a))>
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#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
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#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -4 (* a c))>
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#<alt (pow b 2)>
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
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#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow b 2)>
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#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
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#<alt (* -1 (/ c b))>
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#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
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#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (* -1 (/ b a))>
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))>
#<alt (* -1/2 (/ b a))>
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#<alt (* 1/2 (/ b a))>
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#<alt (* -1/2 (/ b a))>
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#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ b a))>
#<alt (+ (* -1/2 (/ b a)) (/ c b))>
#<alt (+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))>
Calls

120 calls:

TimeVariablePointExpression
6.0ms
c
@0
(- (/ c b) (/ b a))
2.0ms
a
@0
(/ b (neg a))
1.0ms
a
@inf
(/ (sqrt (+ (* b b) (* (* a c) -4))) (* a -2))
1.0ms
c
@inf
(/ (sqrt (+ (* b b) (* (* a c) -4))) (* a -2))
1.0ms
a
@-inf
(/ (sqrt (+ (* b b) (* (* a c) -4))) (* a -2))

rewrite436.0ms (4.7%)

Memory
-0.1MiB live, 676.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 742×lower-fma.f32
5 736×lower-fma.f64
5 254×lower-/.f32
5 242×lower-/.f64
3 550×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030138
055137
1225134
21893134
08232134
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 322
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(neg.f64 a)
(/.f64 b (neg.f64 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 b a)
(/.f64 c b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))) (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))) (sqrt.f64 (neg.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)))))
(pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (/.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (neg.f64 b))
(neg.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (fma.f64 b b (-.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (-.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
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(*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a) #s(literal -2 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) a)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64)) a)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (neg.f64 a))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)) a)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1/2 binary64))) a)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) a)
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64))) (neg.f64 a))
(pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (neg.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (neg.f64 a)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) a))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 a)))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 a)) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a))

simplify525.0ms (5.6%)

Memory
-2.6MiB live, 1 104.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 074×lower-fma.f64
14 074×lower-fma.f32
8 788×lower-*.f64
8 788×lower-*.f32
3 998×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07108735
122808635
275428568
085148168
Stop Event
1×iter limit
1×node limit
Counts
480 → 474
Calls
Call 1
Inputs
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 (/ b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ b a))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
Outputs
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(neg.f64 (*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) a)))))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (*.f64 b #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal -1/32 binary64))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/128 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64)) (fma.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) #s(literal 1/1024 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64))))))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(+ (* -1/2 (/ b a)) (/ c b))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(*.f64 c (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal -1/32 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/128 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(neg.f64 (*.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))

eval346.0ms (3.7%)

Memory
-16.5MiB live, 505.3MiB allocated
Compiler

Compiled 58 072 to 3 245 computations (94.4% saved)

prune226.0ms (2.4%)

Memory
39.4MiB live, 389.3MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 991172 008
Fresh268
Picked235
Done000
Total1 995262 021
Accuracy
90.6%
Counts
2 021 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
37.0%
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a))
▶35.4%
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
36.4%
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal -2 binary64)) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 a (*.f64 a #s(literal -2 binary64))))
▶27.5%
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
23.9%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
28.5%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
36.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
26.9%
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
28.9%
(/.f64 c (neg.f64 b))
▶7.3%
(/.f64 c b)
22.4%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
✓37.1%
(/.f64 b (neg.f64 a))
26.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) a) (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64))))
36.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
36.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
37.0%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
20.0%
(-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) (/.f64 b a))
23.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
✓58.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
▶36.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
7.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
▶54.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
37.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
19.6%
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
Compiler

Compiled 795 to 507 computations (36.2% saved)

simplify271.0ms (2.9%)

Memory
-29.1MiB live, 431.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b (*.f64 b b))
✓cost-diff0
(/.f64 c (*.f64 b (*.f64 b b)))
✓cost-diff0
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
✓cost-diff320
(fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
✓cost-diff0
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(*.f64 (neg.f64 b) b)
✓cost-diff0
(fma.f64 c a (*.f64 (neg.f64 b) b))
✓cost-diff256
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
✓cost-diff12480
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
Rules
8 052×lower-fma.f32
8 044×lower-fma.f64
3 748×lower-*.f32
3 728×lower-*.f64
2 230×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034222
065214
1126208
2231205
3378205
4713201
51659201
64550201
76447201
08495201
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
b
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
c
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
(*.f64 b b)
(/.f64 c b)
c
b
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(fma.f64 c a (*.f64 (neg.f64 b) b))
c
a
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 a b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
b
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
c
(fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
a
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
(/.f64 b (neg.f64 a))
(neg.f64 a)
Outputs
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
b
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(log.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
c
(*.f64 #s(literal -4 binary64) a)
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 b b)
(/.f64 c b)
c
b
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(fma.f64 c a (*.f64 (neg.f64 b) b))
(fma.f64 b (neg.f64 b) (*.f64 a c))
c
a
(*.f64 (neg.f64 b) b)
(neg.f64 (*.f64 b b))
(neg.f64 b)
b
(*.f64 a b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
b
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
(-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) (/.f64 b a))
c
(fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
a
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
(/.f64 b (neg.f64 a))
(neg.f64 a)

localize235.0ms (2.5%)

Memory
-11.6MiB live, 143.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 b (*.f64 b b))
✓accuracy96.3%
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
✓accuracy95.5%
(fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
✓accuracy93.4%
(/.f64 c (*.f64 b (*.f64 b b)))
✓accuracy100.0%
(*.f64 a #s(literal -4 binary64))
✓accuracy100.0%
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy82.5%
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy100.0%
(*.f64 (neg.f64 b) b)
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(neg.f64 b)
✓accuracy84.1%
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
✓accuracy100.0%
(/.f64 c b)
✓accuracy97.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
✓accuracy94.6%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
✓accuracy92.5%
(+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
✓accuracy79.1%
(log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
Samples
76.0ms80×0invalid
38.0ms146×0valid
10.0ms12×2valid
8.0ms16×1valid
3.0ms2×3valid
Compiler

Compiled 235 to 40 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-add: 22.0ms (30.6% of total)
ival-mult: 20.0ms (27.8% of total)
ival-div: 11.0ms (15.3% of total)
ival-exp: 6.0ms (8.3% of total)
ival-log: 6.0ms (8.3% of total)
adjust: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (0.8%)

Memory
22.6MiB live, 59.0MiB allocated
Counts
17 → 468
Calls
Call 1
Inputs
#<alt (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))>
#<alt (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))>
#<alt (/.f64 c b)>
#<alt (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))>
#<alt (neg.f64 b)>
#<alt (*.f64 a b)>
#<alt (*.f64 (neg.f64 b) b)>
#<alt (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))>
#<alt (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))>
#<alt (*.f64 a #s(literal -4 binary64))>
#<alt (/.f64 c (*.f64 b (*.f64 b b)))>
#<alt (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))>
#<alt (fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))>
#<alt (*.f64 b (*.f64 b b))>
Outputs
#<alt (log (pow b 2))>
#<alt (+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ (log (pow b 2)) (* c (+ (* -8 (/ (* (pow a 2) c) (pow b 4))) (* -4 (/ a (pow b 2))))))>
#<alt (+ (log (pow b 2)) (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -64/3 (/ (* (pow a 3) c) (pow b 6))) (* -8 (/ (pow a 2) (pow b 4))))))))>
#<alt (+ (log (* -4 a)) (* -1 (log (/ 1 c))))>
#<alt (+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (* -1/4 (/ (pow b 2) (* a c)))))>
#<alt (+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))>
#<alt (+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))>
#<alt (+ (log (* 4 a)) (* -1 (log (/ -1 c))))>
#<alt (+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1/4 (/ (pow b 2) (* a c)))))>
#<alt (+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* (pow a 2) c))) (* 1/4 (/ (pow b 2) a))) c))))>
#<alt (+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow a 2))) (* -1/192 (/ (pow b 6) (* (pow a 3) c)))) c)) (* 1/4 (/ (pow b 2) a))) c))))>
#<alt (log (pow b 2))>
#<alt (+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ (log (pow b 2)) (* a (+ (* -8 (/ (* a (pow c 2)) (pow b 4))) (* -4 (/ c (pow b 2))))))>
#<alt (+ (log (pow b 2)) (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -64/3 (/ (* a (pow c 3)) (pow b 6))) (* -8 (/ (pow c 2) (pow b 4))))))))>
#<alt (+ (log (* -4 c)) (* -1 (log (/ 1 a))))>
#<alt (+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (* -1/4 (/ (pow b 2) (* a c)))))>
#<alt (+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))>
#<alt (+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))>
#<alt (+ (log (* 4 c)) (* -1 (log (/ -1 a))))>
#<alt (+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1/4 (/ (pow b 2) (* a c)))))>
#<alt (+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* a (pow c 2)))) (* 1/4 (/ (pow b 2) c))) a))))>
#<alt (+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow c 2))) (* -1/192 (/ (pow b 6) (* a (pow c 3))))) a)) (* 1/4 (/ (pow b 2) c))) a))))>
#<alt (log (* -4 (* a c)))>
#<alt (+ (log (* -4 (* a c))) (* -1/4 (/ (pow b 2) (* a c))))>
#<alt (+ (log (* -4 (* a c))) (* (pow b 2) (- (* -1/32 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))))>
#<alt (+ (log (* -4 (* a c))) (* (pow b 2) (- (* (pow b 2) (- (* -1/192 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/32 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))))>
#<alt (* -2 (log (/ 1 b)))>
#<alt (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))>
#<alt (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b)))))>
#<alt (+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))))>
#<alt (* -2 (log (/ -1 b)))>
#<alt (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))>
#<alt (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b)))))>
#<alt (+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
Calls

117 calls:

TimeVariablePointExpression
35.0ms
b
@0
(+ (* a (/ c (* b (* b b)))) (/ 1 b))
5.0ms
a
@-inf
(/ (+ (* c a) (* (neg b) b)) (* a b))
2.0ms
c
@0
(/ (+ (* c a) (* (neg b) b)) (* a b))
1.0ms
c
@0
(/ c (* b (* b b)))
1.0ms
b
@0
(log (+ (* c (* -4 a)) (* b b)))

rewrite346.0ms (3.7%)

Memory
-1.8MiB live, 623.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 038×lower-/.f32
5 026×lower-/.f64
4 474×lower-fma.f32
4 466×lower-fma.f64
4 444×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034147
065139
1236133
21888127
08603124
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 994
Calls
Call 1
Inputs
(log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 c b)
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(neg.f64 b)
(*.f64 a b)
(*.f64 (neg.f64 b) b)
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 a #s(literal -4 binary64))
(/.f64 c (*.f64 b (*.f64 b b)))
(fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
(*.f64 b (*.f64 b b))
Outputs
(log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(+.f64 (log.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64))))))
(+.f64 (log.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64))) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(-.f64 (log.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (log.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)))))
(-.f64 (log.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (log.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (log.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (log.f64 (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) (log.f64 (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))
(-.f64 (log.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)))) (log.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64))) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)))
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) b)
(fma.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)))) #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))) #s(literal 1/2 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b)) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b)) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b)) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 b b))))
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1/2 binary64)))
(hypot.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b))
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
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(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) c) a) (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) b) b)) b)) (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) b) b)) a))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) c) (neg.f64 a)) (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) b) b)) (neg.f64 b))) (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) b) b)) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) c) (/.f64 a b)) (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) b) b)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) b) b)) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) c) a) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) b)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) a))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) c) (neg.f64 a)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) (neg.f64 b))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) c) (/.f64 a b)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) b) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a)))) (*.f64 (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a))) (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (/.f64 (*.f64 b (*.f64 b (neg.f64 b))) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (*.f64 (/.f64 b (neg.f64 a)) (-.f64 (/.f64 b (neg.f64 a)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (/.f64 (*.f64 b b) (*.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))))) (neg.f64 (-.f64 (/.f64 b (neg.f64 a)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (*.f64 (/.f64 b (neg.f64 a)) (-.f64 (/.f64 b (neg.f64 a)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))))) (fma.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (/.f64 (*.f64 b (*.f64 b (neg.f64 b))) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a))) (-.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (/.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (/.f64 (*.f64 b (*.f64 b (neg.f64 b))) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (*.f64 (/.f64 b (neg.f64 a)) (-.f64 (/.f64 b (neg.f64 a)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)))))))
(*.f64 (-.f64 (*.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b))) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b (neg.f64 a)))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64)))
(/.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 b (*.f64 b (neg.f64 b))) #s(literal -1 binary64))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 b (*.f64 b b))
(*.f64 (*.f64 b b) b)
(*.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))

simplify512.0ms (5.5%)

Memory
31.0MiB live, 626.8MiB allocated
Algorithm
1×egg-herbie
Rules
13 624×lower-fma.f64
13 624×lower-fma.f32
8 388×lower-*.f64
8 388×lower-*.f32
4 016×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07366407
122706283
274346259
084825992
Stop Event
1×iter limit
1×node limit
Counts
468 → 463
Calls
Call 1
Inputs
(log (pow b 2))
(+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))
(+ (log (pow b 2)) (* c (+ (* -8 (/ (* (pow a 2) c) (pow b 4))) (* -4 (/ a (pow b 2))))))
(+ (log (pow b 2)) (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -64/3 (/ (* (pow a 3) c) (pow b 6))) (* -8 (/ (pow a 2) (pow b 4))))))))
(+ (log (* -4 a)) (* -1 (log (/ 1 c))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))
(+ (log (* 4 a)) (* -1 (log (/ -1 c))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* (pow a 2) c))) (* 1/4 (/ (pow b 2) a))) c))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow a 2))) (* -1/192 (/ (pow b 6) (* (pow a 3) c)))) c)) (* 1/4 (/ (pow b 2) a))) c))))
(log (pow b 2))
(+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))
(+ (log (pow b 2)) (* a (+ (* -8 (/ (* a (pow c 2)) (pow b 4))) (* -4 (/ c (pow b 2))))))
(+ (log (pow b 2)) (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -64/3 (/ (* a (pow c 3)) (pow b 6))) (* -8 (/ (pow c 2) (pow b 4))))))))
(+ (log (* -4 c)) (* -1 (log (/ 1 a))))
(+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))
(+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))
(+ (log (* 4 c)) (* -1 (log (/ -1 a))))
(+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* a (pow c 2)))) (* 1/4 (/ (pow b 2) c))) a))))
(+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow c 2))) (* -1/192 (/ (pow b 6) (* a (pow c 3))))) a)) (* 1/4 (/ (pow b 2) c))) a))))
(log (* -4 (* a c)))
(+ (log (* -4 (* a c))) (* -1/4 (/ (pow b 2) (* a c))))
(+ (log (* -4 (* a c))) (* (pow b 2) (- (* -1/32 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))))
(+ (log (* -4 (* a c))) (* (pow b 2) (- (* (pow b 2) (- (* -1/192 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/32 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))))
(* -2 (log (/ 1 b)))
(+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))
(+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b)))))
(+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))))
(* -2 (log (/ -1 b)))
(+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))
(+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b)))))
(+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* -1/2 (/ b a))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ 1 b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/ (* a c) (pow b 3))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(/ (* a c) (pow b 3))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(/ 1 b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/ (* a c) (pow b 3))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a c) (pow b 3))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(/ (* a c) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ 1 b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/ 1 b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
Outputs
(log (pow b 2))
(log.f64 (*.f64 b b))
(+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 a (*.f64 b b)) c) (log.f64 (*.f64 b b)))
(+ (log (pow b 2)) (* c (+ (* -8 (/ (* (pow a 2) c) (pow b 4))) (* -4 (/ a (pow b 2))))))
(fma.f64 c (fma.f64 c (*.f64 #s(literal -8 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) (log.f64 (*.f64 b b)))
(+ (log (pow b 2)) (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -64/3 (/ (* (pow a 3) c) (pow b 6))) (* -8 (/ (pow a 2) (pow b 4))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -64/3 binary64) (*.f64 (*.f64 a a) (*.f64 a (/.f64 c (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal -8 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) (log.f64 (*.f64 b b)))
(+ (log (* -4 a)) (* -1 (log (/ 1 c))))
(+.f64 (log.f64 (*.f64 #s(literal -4 binary64) a)) (log.f64 c))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (* -1/4 (/ (pow b 2) (* a c)))))
(+.f64 (log.f64 (*.f64 #s(literal -4 binary64) a)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (*.f64 a c)) (log.f64 c)))
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(* (sqrt (* a c)) (sqrt -4))
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b
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(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(*.f64 (*.f64 c c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(*.f64 (*.f64 c c) (-.f64 (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (/.f64 b (*.f64 a (*.f64 c c)))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(*.f64 (*.f64 c c) (-.f64 (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (/.f64 b (*.f64 a (*.f64 c c)))))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(*.f64 (*.f64 c c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 b (*.f64 b b))) (+.f64 (/.f64 b (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1 binary64) (*.f64 b c))))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 b (*.f64 b b))) (+.f64 (/.f64 b (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1 binary64) (*.f64 b c))))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(*.f64 a (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(*.f64 a (-.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) (/.f64 b (*.f64 a a))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(*.f64 a (-.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) (/.f64 b (*.f64 a a))))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(neg.f64 (*.f64 a (neg.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(neg.f64 (*.f64 a (neg.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (-.f64 (/.f64 c (*.f64 b a)) (/.f64 b (*.f64 a a)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(neg.f64 (*.f64 a (neg.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 b b))) (-.f64 (/.f64 c (*.f64 b a)) (/.f64 b (*.f64 a a)))))))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/.f64 (fma.f64 a (*.f64 c c) (*.f64 b (*.f64 b c))) (*.f64 b (*.f64 b b)))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/.f64 (fma.f64 (*.f64 b b) (-.f64 c (/.f64 (*.f64 b b) a)) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/.f64 (fma.f64 (*.f64 b b) (-.f64 c (/.f64 (*.f64 b b) a)) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 b (neg.f64 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 b (neg.f64 a)))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(neg.f64 (fma.f64 b (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 b a)))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(neg.f64 (fma.f64 b (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 b a)))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))

eval219.0ms (2.4%)

Memory
-27.2MiB live, 292.4MiB allocated
Compiler

Compiled 42 052 to 3 708 computations (91.2% saved)

prune190.0ms (2%)

Memory
34.1MiB live, 382.7MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1 445121 457
Fresh11718
Picked235
Done033
Total1 458251 483
Accuracy
99.8%
Counts
1 483 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) a) (/.f64 (sqrt.f64 a) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
36.5%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
18.0%
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
▶20.6%
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
✓27.5%
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
26.9%
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
▶36.5%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
35.3%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
30.3%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) a))
▶28.9%
(/.f64 c (neg.f64 b))
✓7.3%
(/.f64 c b)
22.4%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
✓37.1%
(/.f64 b (neg.f64 a))
36.5%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
▶37.0%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
7.3%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
24.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
20.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c) b))
23.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
✓58.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
✓36.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
7.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
▶37.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
16.5%
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
Compiler

Compiled 628 to 420 computations (33.1% saved)

simplify264.0ms (2.8%)

Memory
-24.3MiB live, 268.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(fma.f64 b b (*.f64 a c))
✓cost-diff0
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
✓cost-diff0
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
✓cost-diff0
(*.f64 #s(literal -4 binary64) (*.f64 c a))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
✓cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
✓cost-diff0
(/.f64 a b)
✓cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(/.f64 c (neg.f64 b))
✓cost-diff0
(/.f64 #s(literal -1 binary64) a)
✓cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
Rules
4 990×lower-fma.f32
4 986×lower-fma.f64
3 096×lower-*.f32
3 082×lower-*.f64
1 144×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026128
047120
177120
2129120
3180120
4237120
5384120
6914120
72566120
84623120
96202120
107818120
08037120
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
b
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 #s(literal -1 binary64) (/.f64 a b))
#s(literal -1 binary64)
(/.f64 a b)
a
b
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
c
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(fma.f64 b b (*.f64 a c))
b
(*.f64 a c)
a
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 b (neg.f64 a))
(neg.f64 a)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 b (neg.f64 a))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
b
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 b (neg.f64 a))
#s(literal -1 binary64)
(/.f64 a b)
a
b
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
(-.f64 (/.f64 (*.f64 c (fma.f64 a c (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 b a))
c
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/.f64 (fma.f64 a c (*.f64 b b)) (*.f64 b (*.f64 b b)))
(fma.f64 b b (*.f64 a c))
(fma.f64 a c (*.f64 b b))
b
(*.f64 a c)
a
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 b (neg.f64 a))
(neg.f64 a)

localize76.0ms (0.8%)

Memory
20.5MiB live, 139.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 a)
✓accuracy99.9%
(*.f64 b (*.f64 b b))
✓accuracy96.3%
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
✓accuracy76.9%
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
✓accuracy100.0%
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 c a))
✓accuracy99.9%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
✓accuracy82.5%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
✓accuracy100.0%
(/.f64 a b)
✓accuracy99.6%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓accuracy100.0%
(/.f64 c (neg.f64 b))
✓accuracy100.0%
(neg.f64 b)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) a)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
Samples
33.0ms176×0valid
15.0ms80×0invalid
Compiler

Compiled 134 to 29 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 13.0ms (40.8% of total)
ival-mult: 12.0ms (37.7% of total)
ival-add: 3.0ms (9.4% of total)
ival-sqrt: 2.0ms (6.3% of total)
ival-neg: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
-25.7MiB live, 12.6MiB allocated
Counts
14 → 336
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal -1 binary64) a) b)>
#<alt (/.f64 #s(literal -1 binary64) a)>
#<alt (neg.f64 b)>
#<alt (/.f64 c (neg.f64 b))>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 a b))>
#<alt (/.f64 a b)>
#<alt (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))>
#<alt (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 c a))>
#<alt (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))>
#<alt (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))>
#<alt (fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))>
#<alt (*.f64 b (*.f64 b b))>
#<alt (neg.f64 a)>
Outputs
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (+ (* a c) (pow b 2)) (pow b 3))>
#<alt (/ (+ (* a c) (pow b 2)) (pow b 3))>
#<alt (/ (+ (* a c) (pow b 2)) (pow b 3))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ (* a c) (pow b 2))) b)>
#<alt (/ (+ 1 (/ (* a c) (pow b 2))) b)>
#<alt (/ (+ 1 (/ (* a c) (pow b 2))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))>
#<alt (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))>
#<alt (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))>
#<alt (* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))>
#<alt (* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))>
#<alt (* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))>
#<alt (* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
Calls

84 calls:

TimeVariablePointExpression
36.0ms
c
@0
(/ (+ (* b b) (* a c)) (* b (* b b)))
0.0ms
c
@-inf
(/ (+ (* b b) (* a c)) (* b (* b b)))
0.0ms
c
@inf
(/ (+ (* b b) (* a c)) (* b (* b b)))
0.0ms
a
@-inf
(/ (+ (* b b) (* a c)) (* b (* b b)))
0.0ms
a
@0
(/ (+ (* b b) (* a c)) (* b (* b b)))

rewrite70.0ms (0.7%)

Memory
15.4MiB live, 91.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
744×lower-*.f32
730×lower-*.f64
638×lower-fma.f32
634×lower-fma.f64
626×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02690
04782
116182
0127882
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
14 → 224
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal -1 binary64) a)
(neg.f64 b)
(/.f64 c (neg.f64 b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 a b)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
(*.f64 b (*.f64 b b))
(neg.f64 a)
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 b (neg.f64 a))
(/.f64 (neg.f64 b) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (/.f64 b #s(literal -1 binary64)) a)
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b))
(neg.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 a))
(pow.f64 (neg.f64 a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 b))
(-.f64 #s(literal 0 binary64) b)
(neg.f64 b)
(/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 b) c)))
(/.f64 c (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 b) c) #s(literal 1 binary64)))
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (/.f64 c #s(literal -1 binary64)) b)
(pow.f64 (/.f64 (neg.f64 b) c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 c (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 b (neg.f64 a))
(/.f64 (neg.f64 b) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
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(/.f64 (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)) (*.f64 (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (fma.f64 (/.f64 b (neg.f64 a)) (-.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))))
(/.f64 (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)) (*.f64 (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)) (-.f64 (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) b) (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 a))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a))) (fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b a)))
(/.f64 (fma.f64 b (neg.f64 (*.f64 b b)) (*.f64 (/.f64 a b) (*.f64 c (fma.f64 b b (*.f64 a c))))) (*.f64 (/.f64 a b) (*.f64 b (*.f64 b b))))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (neg.f64 a) (*.f64 c (fma.f64 b b (*.f64 a c))))) (*.f64 (neg.f64 a) (*.f64 b (*.f64 b b))))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 c (fma.f64 b b (*.f64 a c))))) (*.f64 a (*.f64 b (*.f64 b b))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)) (*.f64 (/.f64 a (neg.f64 b)) (*.f64 c (fma.f64 b b (*.f64 a c))))) (*.f64 (/.f64 a (neg.f64 b)) (*.f64 b (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (/.f64 a b) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 a b)))
(/.f64 (fma.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (neg.f64 a) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) a (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b))) (*.f64 (*.f64 b (*.f64 b b)) a))
(/.f64 (fma.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (/.f64 a (neg.f64 b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)) (*.f64 (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))))) (neg.f64 (fma.f64 (/.f64 b (neg.f64 a)) (-.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)))) (neg.f64 (fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b a))))
(/.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b)))))
(*.f64 (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a)) (*.f64 (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (neg.f64 a)) (-.f64 (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 c (fma.f64 b b (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 (neg.f64 a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b a))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(*.f64 b (*.f64 b b))
(*.f64 (*.f64 b b) b)
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(neg.f64 a)
(/.f64 a #s(literal -1 binary64))
(/.f64 (neg.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))

simplify326.0ms (3.5%)

Memory
-15.4MiB live, 394.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 392×lower-fma.f64
9 392×lower-fma.f32
5 152×lower-*.f64
5 152×lower-*.f32
1 700×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01892512
15862485
219042468
357582418
083092306
Stop Event
1×iter limit
1×node limit
Counts
336 → 334
Calls
Call 1
Inputs
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* -1/2 (/ b a))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(/ (* a c) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ 1 b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/ 1 b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(/ 1 b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/ (* a c) (pow b 3))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(/ (* a c) (pow b 3))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(/ 1 b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/ (* a c) (pow b 3))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a c) (pow b 3))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
Outputs
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1/2 (/ b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)))
(* -1/2 (/ b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b)
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b)
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))) b)
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))) b)
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 a (sqrt.f64 #s(literal -4 binary64))) b)
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 a (sqrt.f64 #s(literal -4 binary64))) b)
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 a (sqrt.f64 #s(literal -4 binary64))) b)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) b)
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) b)
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) b)
(/ (* a c) (pow b 3))
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (+ 1 (/ (* a c) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (* a c) (pow b 3))
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (* a c) (pow b 3))
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (* a c) (pow b 3))
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(/ (* a c) (pow b 3))
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/.f64 (*.f64 c (fma.f64 b b (*.f64 a c))) (*.f64 b (*.f64 b b)))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/.f64 (fma.f64 b (*.f64 b (-.f64 c (/.f64 (*.f64 b b) a))) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/.f64 (fma.f64 b (*.f64 b (-.f64 c (/.f64 (*.f64 b b) a))) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 c (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)) (/.f64 c b))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 c (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)) (/.f64 c b))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(fma.f64 b (fma.f64 c (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)) (/.f64 c b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(fma.f64 b (fma.f64 c (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)) (/.f64 c b))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (neg.f64 b)) a)
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 c (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)) (/.f64 b a))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)

eval69.0ms (0.7%)

Memory
28.6MiB live, 100.9MiB allocated
Compiler

Compiled 7 671 to 624 computations (91.9% saved)

prune63.0ms (0.7%)

Memory
4.2MiB live, 120.8MiB allocated
Pruning

31 alts after pruning (20 fresh and 11 done)

PrunedKeptTotal
New5499558
Fresh31114
Picked055
Done066
Total55231583
Accuracy
99.8%
Counts
583 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) a) (/.f64 (sqrt.f64 a) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
36.5%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
18.0%
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
✓20.6%
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
24.3%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b) (*.f64 a #s(literal -2 binary64)))
✓27.5%
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
37.0%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
30.4%
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
26.9%
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
✓36.5%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
35.3%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
22.0%
(/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))
✓28.9%
(/.f64 c (neg.f64 b))
✓7.3%
(/.f64 c b)
22.4%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
✓37.1%
(/.f64 b (neg.f64 a))
36.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
28.6%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
✓37.0%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
37.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
✓37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
7.3%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
24.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
20.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c) b))
23.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
✓58.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
✓36.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
7.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
28.8%
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
✓37.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
16.5%
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
Compiler

Compiled 1 084 to 467 computations (56.9% saved)

regimes65.0ms (0.7%)

Memory
8.1MiB live, 127.8MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(fma.f64 c (/.f64 (fma.f64 b b (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal -2 binary64)) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 a (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) a) (/.f64 (sqrt.f64 a) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) a) (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

17.0ms
c
16.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
15.0ms
b
14.0ms
a
Results
AccuracySegmentsBranch
63.4%2a
85.7%3b
61.7%2c
80.5%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory
-20.8MiB live, 17.4MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
Outputs
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
85.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
82.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-22.7MiB live, 15.2MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Outputs
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
82.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 a b))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

2 calls:

6.0ms
b
6.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
53.5%3(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
63.7%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 b (neg.f64 a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
63.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Memory
-41.8MiB live, 12.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
Outputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
Calls

4 calls:

10.0ms
a
2.0ms
c
2.0ms
b
1.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
37.1%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
37.1%1c
37.1%1a
41.7%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

4 calls:

1.0ms
c
1.0ms
b
1.0ms
a
1.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
7.3%1a
7.3%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
7.3%1c
7.3%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch70.0ms (0.8%)

Memory
-0.6MiB live, 73.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.1181431223103183e+105
2.0865276939137555e+108
47.0ms
-5.572789606325681e-73
-9.346077657757816e-83
Samples
25.0ms45×0invalid
17.0ms231×0valid
5.0ms36×1valid
4.0ms21×2valid
Compiler

Compiled 551 to 388 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 28.0ms (68.5% of total)
ival-sub: 4.0ms (9.8% of total)
ival-div: 3.0ms (7.3% of total)
ival-sqrt: 3.0ms (7.3% of total)
ival-neg: 2.0ms (4.9% of total)
adjust: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.1181431223103183e+105
2.0865276939137555e+108
1.0ms
-5.572789606325681e-73
-9.346077657757816e-83
Compiler

Compiled 533 to 370 computations (30.6% saved)

bsearch28.0ms (0.3%)

Memory
18.2MiB live, 54.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
3.0064195606214783e-44
6.2466896233009195e-34
1.0ms
-5.572789606325681e-73
-9.346077657757816e-83
Samples
12.0ms160×0valid
6.0ms36×0invalid
Compiler

Compiled 533 to 390 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 5.0ms (39.1% of total)
ival-mult: 4.0ms (31.3% of total)
ival-div: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-neg: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.6MiB live, 4.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.0064195606214783e-44
6.2466896233009195e-34
1.0ms
-5.572789606325681e-73
-9.346077657757816e-83
Compiler

Compiled 533 to 390 computations (26.8% saved)

bsearch35.0ms (0.4%)

Memory
-30.2MiB live, 50.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-1.7262930120339467e-305
3.6797269943575574e-299
Samples
17.0ms160×0valid
6.0ms81×0invalid
Compiler

Compiled 213 to 150 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.9% of total)
ival-mult: 5.0ms (29.9% of total)
ival-sub: 2.0ms (12% of total)
ival-sqrt: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1.7262930120339467e-305
3.6797269943575574e-299
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch30.0ms (0.3%)

Memory
23.1MiB live, 60.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-1.4685068168352057e-21
-1.9605105309035836e-28
Samples
10.0ms46×2valid
5.0ms66×0valid
4.0ms32×1valid
2.0ms24×0invalid
Compiler

Compiled 158 to 119 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sqrt: 4.0ms (25.3% of total)
ival-mult: 4.0ms (25.3% of total)
ival-sub: 3.0ms (19% of total)
ival-div: 2.0ms (12.7% of total)
adjust: 2.0ms (12.7% of total)
ival-neg: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-8.9MiB live, 30.5MiB allocated
Algorithm
1×egg-herbie
Rules
38×*-commutative_binary64
32×+-commutative_binary64
24×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060172
184172
2101172
3118172
4129172
5140172
6145172
7148172
8149172
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -5444517870735015/43556142965880123323311949751266331066368 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(/.f64 c b)
Outputs
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -5444517870735015/43556142965880123323311949751266331066368 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -5444517870735015/43556142965880123323311949751266331066368 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)

soundness743.0ms (8%)

Memory
16.7MiB live, 611.3MiB allocated
Rules
14 074×lower-fma.f64
14 074×lower-fma.f32
9 868×lower-fma.f64
9 868×lower-fma.f32
8 788×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
02349
18149
259147
0809443
05453114
117183085
257543046
081162886
034147
065139
1236133
21888127
08603124
07108735
122808635
275428568
085148168
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 377 to 193 computations (48.8% saved)

preprocess94.0ms (1%)

Memory
9.1MiB live, 202.5MiB allocated
Compiler

Compiled 606 to 198 computations (67.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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