quadp (p42, positive)

Time bar (total: 7.6s)

start0.0ms (0%)

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

analyze133.0ms (1.7%)

Memory
17.4MiB live, 157.1MiB allocated; 30ms collecting garbage
Algorithm
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 (24.4%)

Memory
38.0MiB live, 1 339.6MiB allocated; 962ms collecting garbage
Samples
484.0ms5 556×0valid
483.0ms1 348×1valid
294.0ms1 183×2valid
83.0ms922×0invalid
46.0ms169×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 356.0ms (32.9% of total)
ival-mult: 266.0ms (24.6% of total)
adjust: 124.0ms (11.5% of total)
ival-sqrt: 98.0ms (9.1% of total)
ival-sub: 96.0ms (8.9% of total)
ival-add: 65.0ms (6% of total)
ival-neg: 57.0ms (5.3% of total)
exact: 10.0ms (0.9% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain170.0ms (2.2%)

Memory
-2.1MiB live, 188.7MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1000-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
490-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
140-1(-1.065393714357019e-192 2.812860197100031e-17 -1.4186338844864629e-139)(/.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))
40-0-(-.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-rescue920
(*.f64 b b)overflow68
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow32
(*.f64 a c)overflow32
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow92
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation490
/.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/n120
(*.f64 b b)underflow41
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow36
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow25
(*.f64 a c)underflow36
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow8
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue80
(*.f64 b b)underflow41
(*.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)))underflow8
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue40
(*.f64 b b)overflow68
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow32
(*.f64 a c)overflow32
/.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))n/o10
(*.f64 #s(literal 2 binary64) a)overflow1
Confusion
Predicted +Predicted -
+1200
-15121
Precision
0.8888888888888888
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12000
-150121
Precision?
0.8888888888888888
Recall?
1.0
Freqs
test
numberfreq
0121
1107
225
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms366×0valid
17.0ms60×2valid
13.0ms72×1valid
4.0ms14×3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 15.0ms (34.9% of total)
ival-sqrt: 8.0ms (18.6% of total)
adjust: 6.0ms (14% of total)
ival-div: 5.0ms (11.6% of total)
ival-sub: 3.0ms (7% of total)
ival-add: 3.0ms (7% of total)
ival-neg: 2.0ms (4.7% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess45.0ms (0.6%)

Memory
-0.6MiB live, 42.2MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1171151
2450151
3949151
41398151
51578151
61702151
01417
02317
14417
29417
317617
425917
531017
632017
735017
839817
943617
043616
Stop Event
iter limit
saturated
iter limit
saturated
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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(/.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 17 to 14 computations (17.6% saved)

simplify11.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Algorithm
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-diff0
(/.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))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14470
29470
317670
425970
531070
632070
735070
839870
943670
043666
Stop Event
iter limit
saturated
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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 (*.f64 c #s(literal 4 binary64)) a)
#s(literal 4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize50.0ms (0.7%)

Memory
11.5MiB live, 56.2MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.8007812500000001
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy3.206688774850345
(/.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))
accuracy11.21476687034148
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy23.353930970309268
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
16.0ms183×0valid
12.0ms3valid
7.0ms30×2valid
6.0ms36×1valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-neg: 10.0ms (35.4% of total)
ival-mult: 7.0ms (24.8% of total)
adjust: 3.0ms (10.6% of total)
ival-sqrt: 3.0ms (10.6% of total)
ival-sub: 2.0ms (7.1% of total)
ival-div: 2.0ms (7.1% of total)
ival-add: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.9%)

Memory
-24.4MiB live, 20.8MiB allocated; 10ms collecting garbage
Counts
5 → 98
Calls
Call 1
Inputs
(-.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
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))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (* 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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* 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 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 (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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)))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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 (* 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))))))))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
c
@inf
((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
b
@inf
((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
a
@inf
((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
c
@-inf
((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms
a
@-inf
((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

simplify219.0ms (2.9%)

Memory
24.5MiB live, 166.3MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452842
119162807
279102807
080902667
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
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))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (* 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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* 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 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 (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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)))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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 (* 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))))))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
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rewrite220.0ms (2.9%)

Memory
-12.2MiB live, 192.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17451
250450
3631749
0827445
Stop Event
iter limit
node limit
iter limit
Counts
5 → 317
Calls
Call 1
Inputs
(-.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal 12 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal -4 binary64)) (*.f64 c a)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
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(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(fma.f64 b (/.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 b))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(neg.f64 b)
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))

eval106.0ms (1.4%)

Memory
-20.2MiB live, 80.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 16 937 to 1 866 computations (89% saved)

prune26.0ms (0.3%)

Memory
-7.4MiB live, 37.0MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New39418412
Fresh000
Picked101
Done000
Total39518413
Accuracy
88.9%
Counts
413 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
52.2%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
21.5%
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))))
28.0%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
9.8%
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
54.8%
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
52.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a))
44.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
31.9%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
30.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
11.2%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
48.6%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
54.2%
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
26.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
30.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
36.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
35.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
Compiler

Compiled 974 to 622 computations (36.1% saved)

simplify276.0ms (3.6%)

Memory
13.9MiB live, 197.1MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
cost-diff4
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
cost-diff5
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
cost-diff0
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)))
cost-diff0
(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff0
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046376
075361
1153360
2368358
31159351
45552351
08154351
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)))
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(*.f64 a b)
(*.f64 a (*.f64 #s(literal -2 binary64) a))
Outputs
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) a) #s(literal -1/2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)))
(-.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)) b)
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(/.f64 (*.f64 (/.f64 c b) a) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) a) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) a)
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(*.f64 a b)
(*.f64 a (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 #s(literal -2 binary64) a) a)

localize144.0ms (1.9%)

Memory
7.0MiB live, 156.6MiB allocated; 23ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.8007812500000001
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy17.59140405676381
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
accuracy23.353930970309268
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy29.24996772230048
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
accuracy3.5943823917856568
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
accuracy4.331060673155974
(*.f64 a (/.f64 c b))
accuracy11.21476687034148
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)))
accuracy44.63230519911461
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
accuracy0.015625
(*.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy3.206688774850345
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy3.3398642486513426
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy44.29208045959091
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy0.0
(/.f64 (neg.f64 b) a)
accuracy0.0
(neg.f64 b)
accuracy40.63651157766097
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.8007812500000001
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy3.206688774850345
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
accuracy11.21476687034148
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy23.353930970309268
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
56.0ms183×0valid
17.0ms25×2valid
16.0ms32×1valid
14.0ms16×3valid
Compiler

Compiled 331 to 42 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 29.0ms (41.7% of total)
ival-div: 15.0ms (21.6% of total)
adjust: 9.0ms (12.9% of total)
ival-add: 6.0ms (8.6% of total)
ival-sqrt: 5.0ms (7.2% of total)
ival-sub: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series116.0ms (1.5%)

Memory
-14.8MiB live, 29.5MiB allocated; 6ms collecting garbage
Counts
19 → 211
Calls
Call 1
Inputs
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
(*.f64 a (/.f64 c b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
Outputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -2 (/ a b))
(* a (+ b (* -1 b)))
(* a (+ b (+ (* -1 b) (* 2 (/ (* a c) b)))))
(* a (+ b (+ (* -1 b) (* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ b (+ (* -1 b) (* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
(/ (* a c) b)
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
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(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 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)))
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(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
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(* 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))))))
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(* -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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -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 (* a (+ (* -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 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(- 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)))
(+ (* 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)))))))))
(* -1 b)
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* a b))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ a (* -1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ a (* b (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 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)
(* 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)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* b (+ a (* -1 a)))
(* b (+ a (+ (* -1 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ a (+ (* -1 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* b (+ a (+ (* -1 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* -1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))))
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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 (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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 b))
(* -1 (* b (+ (* -2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -2 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -2 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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))))))))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ (* -1 (* a b)) (* a b))
(+ (* -1 (* a b)) (+ (* 2 (/ (* (pow a 2) c) b)) (* a b)))
(+ (* -1 (* a b)) (+ (* a b) (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 3))) (* 2 (/ (pow a 2) b))))))
(+ (* -1 (* a b)) (+ (* a b) (* c (+ (* 2 (/ (pow a 2) b)) (* c (+ (* 2 (/ (pow a 3) (pow b 3))) (* 4 (/ (* (pow a 4) c) (pow b 5)))))))))
(* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (/ (* a b) c)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (/ (* a b) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ (* a b) c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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 (* 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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b) c)))))
(* -1 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)))))
(* -1 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* a b)) c)))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
c
@0
((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* a (/ c b)) (* (+ (* (/ (* a (/ c b)) b) -2) 1) b))
6.0ms
a
@0
((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* a (/ c b)) (* (+ (* (/ (* a (/ c b)) b) -2) 1) b))
6.0ms
c
@inf
((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* a (/ c b)) (* (+ (* (/ (* a (/ c b)) b) -2) 1) b))
5.0ms
b
@inf
((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* a (/ c b)) (* (+ (* (/ (* a (/ c b)) b) -2) 1) b))
5.0ms
b
@0
((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* a (/ c b)) (* (+ (* (/ (* a (/ c b)) b) -2) 1) b))

simplify241.0ms (3.2%)

Memory
22.7MiB live, 219.2MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09685988
135885819
082965555
Stop Event
iter limit
node limit
Counts
211 → 210
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -2 (/ a b))
(* a (+ b (* -1 b)))
(* a (+ b (+ (* -1 b) (* 2 (/ (* a c) b)))))
(* a (+ b (+ (* -1 b) (* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ b (+ (* -1 b) (* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
(/ (* a c) b)
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 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)))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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 (* (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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -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 (* a (+ (* -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 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(- 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)))
(+ (* 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)))))))))
(* -1 b)
(+ (* -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)))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* a b))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ a (* -1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ a (* b (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 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)
(* 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)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* b (+ a (* -1 a)))
(* b (+ a (+ (* -1 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ a (+ (* -1 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* b (+ a (+ (* -1 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* -1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))))
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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 (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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 b))
(* -1 (* b (+ (* -2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -2 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -2 a) (+ (* 2 (/ (* (pow a 2) c) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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))))))))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ (* -1 (* a b)) (* a b))
(+ (* -1 (* a b)) (+ (* 2 (/ (* (pow a 2) c) b)) (* a b)))
(+ (* -1 (* a b)) (+ (* a b) (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 3))) (* 2 (/ (pow a 2) b))))))
(+ (* -1 (* a b)) (+ (* a b) (* c (+ (* 2 (/ (pow a 2) b)) (* c (+ (* 2 (/ (pow a 3) (pow b 3))) (* 4 (/ (* (pow a 4) c) (pow b 5)))))))))
(* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (/ (* a b) c)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (/ (* a b) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ (* a b) c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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 (* 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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b) c)))))
(* -1 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)))))
(* -1 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* a b)) c)))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* 2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a)
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(* a (+ b (* -1 b)))
#s(literal 0 binary64)
(* a (+ b (+ (* -1 b) (* 2 (/ (* a c) b)))))
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) a)
(* a (+ b (+ (* -1 b) (* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3))))))))
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)) a)
(* a (+ b (+ (* -1 b) (* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))))))
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 a b)) (neg.f64 c))))
(* -1 (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* a b)) c)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 a b (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/1024 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))

rewrite226.0ms (3%)

Memory
-5.2MiB live, 182.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046278
075272
1265270
21685263
08447262
Stop Event
iter limit
node limit
iter limit
Counts
19 → 688
Calls
Call 1
Inputs
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
(*.f64 a (/.f64 c b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
Outputs
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) a)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 b a) a) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) a) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
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(*.f64 b (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b)) (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b))) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b))) (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)))) (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))) (-.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64))) (*.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))))) (-.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 #s(literal 1 binary64) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b)) (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64))) (*.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)))) (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) b)) (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) b)) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) b) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) b) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)))))
(/.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 b (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b (*.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b))
(fma.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) (*.f64 b #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) (*.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b))
(+.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))) (*.f64 b #s(literal 1 binary64)))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64))))

eval155.0ms (2%)

Memory
23.4MiB live, 164.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 48 471 to 4 132 computations (91.5% saved)

prune44.0ms (0.6%)

Memory
-1.5MiB live, 86.1MiB allocated; 10ms collecting garbage
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 029151 044
Fresh7613
Picked235
Done000
Total1 038241 062
Accuracy
88.9%
Counts
1 062 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
52.2%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
28.0%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
9.8%
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
22.4%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
54.8%
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
39.7%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a))
52.1%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
30.5%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
31.9%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
44.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
11.2%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
48.6%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
24.0%
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
23.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
54.2%
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
26.9%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
30.7%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
35.6%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
26.2%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
11.0%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
36.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
35.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
Compiler

Compiled 1 277 to 831 computations (34.9% saved)

simplify152.0ms (2%)

Memory
-10.5MiB live, 137.9MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
cost-diff2
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
cost-diff4
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
cost-diff0
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
cost-diff0
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
cost-diff0
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
cost-diff0
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
cost-diff0
(/.f64 (neg.f64 c) (*.f64 b b))
cost-diff0
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
cost-diff4
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
cost-diff0
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
cost-diff2
(/.f64 #s(literal 0 binary64) a)
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))
cost-diff0
(*.f64 #s(literal -2 binary64) a)
cost-diff0
(/.f64 b (*.f64 #s(literal -2 binary64) a))
cost-diff4
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066422
0103401
1208399
2517382
31760349
47037349
08440348
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 b (*.f64 #s(literal -2 binary64) a))
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 0 binary64) a)
#s(literal 0 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
(/.f64 (neg.f64 c) (*.f64 b b))
(neg.f64 c)
c
(*.f64 b b)
b
(/.f64 b a)
a
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
b
(/.f64 a b)
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
b
(*.f64 #s(literal -2 binary64) a)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
a
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) a)
#s(literal 0 binary64)
#s(literal 0 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
(-.f64 (/.f64 b a) (/.f64 c b))
(/.f64 (neg.f64 c) (*.f64 b b))
(/.f64 (/.f64 (neg.f64 c) b) b)
(neg.f64 c)
c
(*.f64 b b)
b
(/.f64 b a)
a
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
b
(/.f64 a b)
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))
#s(approx (- (* b b) (* 4 (* a c))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(/.f64 (*.f64 (/.f64 c b) a) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize273.0ms (3.6%)

Memory
-30.4MiB live, 277.1MiB allocated; 48ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.5979383821762725
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
accuracy4.331060673155974
(*.f64 a (/.f64 c b))
accuracy11.21476687034148
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
accuracy23.353930970309268
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
accuracy0.5061828355146629
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
accuracy5.131280284989582
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
accuracy5.8583396343311245
(/.f64 (*.f64 c c) b)
accuracy44.35788604331318
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
accuracy0.0
(neg.f64 c)
accuracy4.975742862151082
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
accuracy6.825360419692632
(/.f64 (neg.f64 c) (*.f64 b b))
accuracy40.55691662074664
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
accuracy0.0
(/.f64 #s(literal 0 binary64) a)
accuracy56.97870988067823
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
accuracy0.22777357203130222
(/.f64 b (*.f64 #s(literal -2 binary64) a))
accuracy0.3512865699146134
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))
accuracy13.600533975933672
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
accuracy23.353930970309268
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
Samples
78.0ms28×2valid
64.0ms183×0valid
60.0ms16×3valid
20.0ms29×1valid
Compiler

Compiled 345 to 61 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-div: 80.0ms (44.1% of total)
adjust: 45.0ms (24.8% of total)
ival-mult: 31.0ms (17.1% of total)
ival-add: 9.0ms (5% of total)
ival-sqrt: 7.0ms (3.9% of total)
ival-sub: 5.0ms (2.8% of total)
ival-neg: 4.0ms (2.2% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series80.0ms (1.1%)

Memory
-16.2MiB live, 37.2MiB allocated; 12ms collecting garbage
Counts
23 → 215
Calls
Call 1
Inputs
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(literal 0 binary64) a)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(/.f64 (neg.f64 c) (*.f64 b b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(neg.f64 c)
(/.f64 (*.f64 c c) b)
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
(*.f64 a (/.f64 c b))
Outputs
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (/ b a))
(* -2 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)
0
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
b
(+ b (* -4 (/ (* a c) b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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))))))))
(/ (* a c) b)
(* 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)) (* -1/16 (* (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))))))
(* -1/2 (* (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)))))))
(+ (* -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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* -1 (/ c b)) (/ b a))
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* -4 (/ (* a c) b))
(* a (+ (* -4 (/ c b)) (/ b a)))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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)))
(* 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))))))
(* -1 (* (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)))
(* (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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (* 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 (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4))))
(- (* b (- (* b (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (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 (* (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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(* -1 (/ c (pow b 2)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) b)
(+ (* -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)))
(+ (* 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)))))))))
(/ (pow c 2) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (- (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* 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 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* 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 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)) (/ c (pow b 2)))))
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (/ 1 a)) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* 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 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1)))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (- (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(+ (* -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 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(- (/ c b) (/ b a))
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) 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))))))))
(* c (- (* -1/2 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* -1/2 (/ b (* a c))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* -1/2 (/ b (* a c))) (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))) (+ (* -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))))))
(* 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))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* -4 (/ a b)) (/ b c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* 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))))))
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* -1 (* (sqrt (/ 1 (* a c))) (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)))))))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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 (* 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))))))))
Calls

9 calls:

TimeVariablePointExpression
40.0ms
c
@-inf
((- (/ b (* -2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a)) (/ 0 a) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (neg c) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b)))
6.0ms
c
@inf
((- (/ b (* -2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a)) (/ 0 a) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (neg c) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b)))
5.0ms
b
@0
((- (/ b (* -2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a)) (/ 0 a) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (neg c) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b)))
5.0ms
b
@inf
((- (/ b (* -2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a)) (/ 0 a) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (neg c) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b)))
4.0ms
a
@inf
((- (/ b (* -2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* -2 a)) (/ 0 a) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (neg c) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b)))

simplify282.0ms (3.7%)

Memory
11.1MiB live, 238.4MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08585468
129925353
091345110
Stop Event
iter limit
node limit
Counts
215 → 213
Calls
Call 1
Inputs
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (/ b a))
(* -2 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)
0
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
b
(+ b (* -4 (/ (* a c) b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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))))))))
(/ (* a c) b)
(* 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)) (* -1/16 (* (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))))))
(* -1/2 (* (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)))))))
(+ (* -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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* -1 (/ c b)) (/ b a))
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* -4 (/ (* a c) b))
(* a (+ (* -4 (/ c b)) (/ b a)))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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)))
(* 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))))))
(* -1 (* (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)))
(* (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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (* 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 (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4))))
(- (* b (- (* b (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (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 (* (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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(* -1 (/ c (pow b 2)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) b)
(+ (* -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)))
(+ (* 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)))))))))
(/ (pow c 2) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (- (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* 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 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* 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 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)) (/ c (pow b 2)))))
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (/ 1 a)) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* 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 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1)))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (- (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(+ (* -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 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(- (/ c b) (/ b a))
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) 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))))))))
(* c (- (* -1/2 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* -1/2 (/ b (* a c))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* -1/2 (/ b (* a c))) (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))) (+ (* -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))))))
(* 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))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* -4 (/ a b)) (/ b c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* 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))))))
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* -1 (* (sqrt (/ 1 (* a c))) (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)))))))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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 (* 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))))))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(-.f64 (*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (/.f64 c b))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 c b))
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 c b))
(* -1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 a (/.f64 c b))) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a)
0
#s(literal 0 binary64)
(* -1/2 (/ (+ b (* -1 b)) a))
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (neg.f64 a) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a #s(literal 0 binary64)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (- (/ (* a c) b) b) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(* -1 c)
(neg.f64 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(-.f64 (*.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 c c) b)) c)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)
b
(+ b (* -4 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(- (* -1/2 (/ b a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(- (+ (* -1/2 (/ b a)) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(- (+ (* -1/2 (/ b a)) (* -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))))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* -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 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))))
(+ (* -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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(+ (* -1 (/ c b)) (/ b a))
(fma.f64 (/.f64 c b) #s(literal -1 binary64) (/.f64 b a))
(/ c b)
(/.f64 c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(*.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(*.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 c c) b))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))
(/ (* a (pow c 2)) (pow b 2))
(*.f64 (/.f64 a b) (/.f64 (*.f64 c c) b))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a)
(* -4 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))
(* a (+ (* -4 (/ c b)) (/ b a)))
(*.f64 (fma.f64 (/.f64 c b) #s(literal -4 binary64) (/.f64 b a)) a)
(* -4 (* a c))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
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(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 4 binary64) (/.f64 (neg.f64 b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (neg.f64 c))))
(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite190.0ms (2.5%)

Memory
37.5MiB live, 181.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066328
0103314
1390312
22675312
08843311
Stop Event
iter limit
node limit
iter limit
Counts
23 → 295
Calls
Call 1
Inputs
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(literal 0 binary64) a)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(/.f64 (neg.f64 c) (*.f64 b b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(neg.f64 c)
(/.f64 (*.f64 c c) b)
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
(*.f64 a (/.f64 c b))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (/.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))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.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))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a) #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.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))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64))) (fma.f64 (/.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))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal -2 binary64)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (neg.f64 a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) a) (*.f64 (neg.f64 a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (neg.f64 a) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (neg.f64 a)) (*.f64 (neg.f64 a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) a) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (neg.f64 a)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (neg.f64 a)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 a)) (*.f64 (*.f64 #s(literal 2 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 2 binary64) a) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (*.f64 #s(literal -2 binary64) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 b a) a) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (neg.f64 a)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a))) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) b) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) a)) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (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 (-.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))
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(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))
(/.f64 (*.f64 c a) b)

eval85.0ms (1.1%)

Memory
-21.7MiB live, 68.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 21 524 to 2 418 computations (88.8% saved)

prune42.0ms (0.6%)

Memory
-7.4MiB live, 39.8MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New50210512
Fresh31316
Picked415
Done033
Total50927536
Accuracy
89.0%
Counts
536 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
28.0%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
9.8%
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
22.4%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
54.8%
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
52.1%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
30.5%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
31.9%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
48.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
39.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
28.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a))
11.2%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
48.6%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
24.0%
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
23.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
54.2%
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
28.8%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 c b) c) (/.f64 a b) c)) b))
25.6%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
27.6%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b))
30.7%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
26.2%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
11.0%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
36.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
10.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
36.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
Compiler

Compiled 1 598 to 1 038 computations (35% saved)

simplify350.0ms (4.6%)

Memory
27.3MiB live, 308.6MiB allocated; 70ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))))
cost-diff0
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
cost-diff0
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
cost-diff0
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
cost-diff0
(neg.f64 a)
cost-diff0
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
cost-diff1
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
cost-diff4
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
cost-diff0
#s(approx (/ 0 a) #s(literal 0 binary64))
cost-diff0
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
cost-diff0
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))
cost-diff0
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
cost-diff2
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063532
092525
1174521
2420498
31337494
45512490
08129465
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))))
b
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a))
#s(literal -4 binary64)
c
(/.f64 (*.f64 b b) a)
(*.f64 b b)
a
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ 0 a) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
(neg.f64 a)
a
(/.f64 c b)
c
b
#s(literal 0 binary64)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.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)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))
(*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)
#s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))))
b
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))
#s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
(fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a))
(fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))
#s(literal -4 binary64)
c
(/.f64 (*.f64 b b) a)
(*.f64 b b)
a
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ 0 a) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 c (neg.f64 b)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/.f64 c (neg.f64 b))
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
(*.f64 (/.f64 (neg.f64 a) b) c)
(neg.f64 a)
a
(/.f64 c b)
c
b
#s(literal 0 binary64)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
b
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)) b))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))))
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)) b))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)) b)))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)) b))
(*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)
(*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)) b)
#s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b))
#s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize176.0ms (2.3%)

Memory
14.4MiB live, 244.5MiB allocated; 31ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.206688774850345
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
accuracy4.331060673155974
(*.f64 a (/.f64 c b))
accuracy11.21476687034148
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))))
accuracy23.353930970309268
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))
accuracy3.206688774850345
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
accuracy11.21476687034148
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
accuracy23.353930970309268
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
accuracy38.022226473760085
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
accuracy0.0
(neg.f64 a)
accuracy4.331060673155974
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
accuracy11.983412888741812
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
accuracy44.36304495028055
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
accuracy0.0
#s(approx (/ 0 a) #s(literal 0 binary64))
accuracy56.97870988067823
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
accuracy5.67440736749607
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
accuracy7.662463313416746
(/.f64 (*.f64 b b) a)
accuracy11.21476687034148
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))))
accuracy23.353930970309268
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))
Samples
71.0ms183×0valid
26.0ms32×1valid
22.0ms25×2valid
20.0ms16×3valid
Compiler

Compiled 335 to 52 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 41.0ms (42.8% of total)
ival-div: 18.0ms (18.8% of total)
adjust: 14.0ms (14.6% of total)
ival-add: 10.0ms (10.4% of total)
ival-sqrt: 5.0ms (5.2% of total)
ival-sub: 3.0ms (3.1% of total)
ival-neg: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
20.9MiB live, 67.0MiB allocated; 4ms collecting garbage
Counts
20 → 145
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ 0 a) #s(literal 0 binary64))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(neg.f64 a)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))
(/.f64 (*.f64 b b) a)
(*.f64 a (/.f64 c b))
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
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))))))))
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
0
(* -1 (/ (* a c) b))
(* -1 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(/ (pow b 2) a)
(/ (* a c) b)
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (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))))))
(* 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)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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 (* (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))))))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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))) (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(- 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)))
(+ (* 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)))))))))
(+ (* -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)))
(* -1 b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 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)
(* 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)))))))
(* -1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* -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 (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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))))))))
(* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (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))))))
(* 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)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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 (* 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 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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))))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
b
@0
((* (+ (* -4 c) (/ (* b b) a)) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ 0 a) (/ (+ (* (neg a) (/ c b)) 0) a) (+ (* (neg a) (/ c b)) 0) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (neg a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (* b b) a) (* a (/ c b)))
3.0ms
a
@-inf
((* (+ (* -4 c) (/ (* b b) a)) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ 0 a) (/ (+ (* (neg a) (/ c b)) 0) a) (+ (* (neg a) (/ c b)) 0) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (neg a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (* b b) a) (* a (/ c b)))
3.0ms
b
@inf
((* (+ (* -4 c) (/ (* b b) a)) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ 0 a) (/ (+ (* (neg a) (/ c b)) 0) a) (+ (* (neg a) (/ c b)) 0) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (neg a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (* b b) a) (* a (/ c b)))
3.0ms
a
@inf
((* (+ (* -4 c) (/ (* b b) a)) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ 0 a) (/ (+ (* (neg a) (/ c b)) 0) a) (+ (* (neg a) (/ c b)) 0) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (neg a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (* b b) a) (* a (/ c b)))
2.0ms
a
@0
((* (+ (* -4 c) (/ (* b b) a)) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ 0 a) (/ (+ (* (neg a) (/ c b)) 0) a) (+ (* (neg a) (/ c b)) 0) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (neg a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (/ (* b b) a) (* a (/ c b)))

simplify170.0ms (2.2%)

Memory
5.2MiB live, 190.1MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07034006
124553898
089463720
Stop Event
iter limit
node limit
Counts
145 → 144
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
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))))))))
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
0
(* -1 (/ (* a c) b))
(* -1 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(/ (pow b 2) a)
(/ (* a c) b)
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (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))))))
(* 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)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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 (* (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))))))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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))) (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(- 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)))
(+ (* 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)))))))))
(+ (* -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)))
(* -1 b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 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)
(* 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)))))))
(* -1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 a)) (pow a 2)))))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(* -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 (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* 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))))))))
(* -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))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a 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))))))))
(* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/2 (/ (+ (* -1 (* a b)) (* a b)) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (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))))))
(* 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)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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 (* 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 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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))))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* 2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(* -1/2 (/ (+ b (* -1 b)) a))
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/2 (+ b (* -1 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a #s(literal 0 binary64)) a)
0
#s(literal 0 binary64)
(* -1 (/ (* a c) b))
(*.f64 (neg.f64 a) (/.f64 c b))
(* -1 a)
(neg.f64 a)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* (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 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) 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 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) 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)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
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(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) b) c) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)))) c)) c) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (neg.f64 c))))
(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c)) b) (neg.f64 c))))

rewrite250.0ms (3.3%)

Memory
-36.6MiB live, 252.1MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063370
092364
1320360
22348356
08915339
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 305
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ 0 a) #s(literal 0 binary64))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(neg.f64 a)
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
(-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))
(/.f64 (*.f64 b b) a)
(*.f64 a (/.f64 c b))
Outputs
(*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)
(*.f64 a (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a))) a)) (neg.f64 (-.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 (/.f64 b a) b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)))) a)) (neg.f64 (fma.f64 (*.f64 (/.f64 b a) b) (-.f64 (*.f64 (/.f64 b a) b) (*.f64 c #s(literal -4 binary64))) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a))))) (neg.f64 (-.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 (/.f64 b a) b))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (*.f64 (/.f64 b a) b) (-.f64 (*.f64 (/.f64 b a) b) (*.f64 c #s(literal -4 binary64))) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a))) a) (-.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 (/.f64 b a) b)))
(/.f64 (*.f64 (fma.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)))) a) (fma.f64 (*.f64 (/.f64 b a) b) (-.f64 (*.f64 (/.f64 b a) b) (*.f64 c #s(literal -4 binary64))) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)))) (-.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 (/.f64 b a) b)))
(/.f64 (*.f64 a (fma.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 b a) b) (-.f64 (*.f64 (/.f64 b a) b) (*.f64 c #s(literal -4 binary64))) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 (*.f64 (/.f64 b a) b) a (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 a (*.f64 (/.f64 b a) b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 a (*.f64 (/.f64 b a) b)))
(+.f64 (*.f64 (*.f64 (/.f64 b a) b) a) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+.f64 (*.f64 a (*.f64 (/.f64 b a) b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 (/.f64 b a) b) a))
(+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a (*.f64 (/.f64 b a) b)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) b)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) b) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) b)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) b #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) b #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))))) (/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) a)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) b) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) (*.f64 #s(literal -2 binary64) a)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))) #s(literal -2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) a))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) a))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))) #s(literal -2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a)))))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 a (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 c #s(literal -4 binary64))) a))))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
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(fma.f64 (neg.f64 (/.f64 c b)) a #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 (/.f64 c b) a)) (/.f64 (*.f64 (/.f64 c b) a) (fabs.f64 (*.f64 (/.f64 c b) a))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (*.f64 (/.f64 c b) a)) (/.f64 (*.f64 (/.f64 c b) a) (fabs.f64 (*.f64 (/.f64 c b) a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (*.f64 (/.f64 c b) (*.f64 (/.f64 c b) a))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (*.f64 (/.f64 c b) (*.f64 (/.f64 c b) a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (*.f64 (/.f64 c b) a) (neg.f64 (/.f64 c b))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (*.f64 (/.f64 c b) a) (neg.f64 (/.f64 c b))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (*.f64 (/.f64 c b) a) (/.f64 c b)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (*.f64 (/.f64 c b) a) (/.f64 c b)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a)) #s(literal 0 binary64))
(fma.f64 (/.f64 c b) (neg.f64 (neg.f64 a)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 c b) (neg.f64 (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 c b) (neg.f64 a) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 c b) (neg.f64 a) #s(literal 0 binary64))
(fma.f64 (/.f64 c b) a (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 c b) a #s(literal 0 binary64))
(fma.f64 (neg.f64 a) (neg.f64 (/.f64 c b)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (neg.f64 a) (neg.f64 (/.f64 c b)) #s(literal 0 binary64))
(fma.f64 (neg.f64 a) (/.f64 c b) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64))
(fma.f64 a (neg.f64 (/.f64 c b)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 a (neg.f64 (/.f64 c b)) #s(literal 0 binary64))
(fma.f64 a (/.f64 c b) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 a (/.f64 c b) #s(literal 0 binary64))
(fma.f64 c (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 c (/.f64 a b) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 c b) a))
(-.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) a)))
(-.f64 (*.f64 (/.f64 c b) a) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) a))
(+.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 c b) a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) a))

eval119.0ms (1.6%)

Memory
18.6MiB live, 155.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 50 564 to 3 813 computations (92.5% saved)

prune42.0ms (0.6%)

Memory
-13.7MiB live, 78.8MiB allocated; 5ms collecting garbage
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New9888996
Fresh41418
Picked145
Done044
Total993301 023
Accuracy
89.0%
Counts
1 023 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
9.8%
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
30.8%
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (*.f64 #s(literal -2 binary64) a))
24.3%
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (*.f64 #s(literal -2 binary64) a)))
54.8%
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
52.1%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
30.5%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
31.9%
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
48.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
28.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a))
11.2%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
48.6%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
24.0%
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
54.2%
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
31.9%
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal -2 binary64) a)))
28.8%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 c b) c) (/.f64 a b) c)) b))
25.6%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
27.6%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b))
30.7%
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
10.8%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (/.f64 (*.f64 a c) b) a))
24.0%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
10.8%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 c (/.f64 a b)) a))
22.7%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c a)))
26.5%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) a)))
11.0%
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
36.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
10.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
36.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
Compiler

Compiled 2 536 to 903 computations (64.4% saved)

regimes54.0ms (0.7%)

Memory
16.1MiB live, 61.9MiB allocated; 3ms collecting garbage
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 c (/.f64 a b)) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (/.f64 (*.f64 a c) b) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 c b) c) (/.f64 a b) c)) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.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 (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

13.0ms
(/.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))
13.0ms
c
13.0ms
a
13.0ms
b
Results
AccuracySegmentsBranch
75.4%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))
54.8%1a
84.6%3b
56.6%2c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes12.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 c (/.f64 a b)) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (/.f64 (*.f64 a c) b) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 c b) c) (/.f64 a b) c)) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.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 (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
84.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 c (/.f64 a b)) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (/.f64 (*.f64 a c) b) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 c b) c) (/.f64 a b) c)) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.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 (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
84.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
-41.8MiB live, 10.3MiB allocated; 5ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 c (/.f64 a b)) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (/.f64 (*.f64 a c) b) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
79.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 c (/.f64 a b)) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (/.f64 (*.f64 a c) b) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 c a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

6.0ms
b
5.0ms
(/.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
51.1%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))
65.1%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 (*.f64 (neg.f64 a) c) (*.f64 a b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
64.7%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
Calls

4 calls:

2.0ms
b
2.0ms
a
2.0ms
c
2.0ms
(/.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
36.5%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))
36.5%1a
36.5%1c
44.8%2b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes9.0ms (0.1%)

Memory
-35.9MiB live, 10.6MiB allocated; 2ms collecting garbage
Accuracy

Total -0.5b remaining (-0.9%)

Threshold costs -0.5b (-0.9%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) (/.f64 #s(literal 0 binary64) a))
Outputs
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
Calls

4 calls:

4.0ms
a
1.0ms
b
1.0ms
c
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
11.0%1a
11.0%1c
11.0%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))
11.0%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch43.0ms (0.6%)

Memory
43.9MiB live, 43.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.0397368983371832e-77
6.188499739064973e-74
15.0ms
-5.330746308898262e+101
-5.266487448104036e+98
Samples
15.0ms203×0valid
6.0ms26×2valid
4.0ms27×1valid
2.0ms28×0invalid
Compiler

Compiled 812 to 596 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.8% of total)
adjust: 2.0ms (10.5% of total)
ival-div: 2.0ms (10.5% of total)
ival-sub: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 2.0ms (10.5% of total)
ival-neg: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
-42.8MiB live, 3.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0397368983371832e-77
6.188499739064973e-74
1.0ms
-5.330746308898262e+101
-5.266487448104036e+98
Compiler

Compiled 812 to 596 computations (26.6% saved)

bsearch3.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0397368983371832e-77
6.188499739064973e-74
1.0ms
-5.330746308898262e+101
-5.266487448104036e+98
Compiler

Compiled 748 to 580 computations (22.5% saved)

bsearch35.0ms (0.5%)

Memory
36.5MiB live, 36.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.0397368983371832e-77
6.188499739064973e-74
19.0ms
-7.153203750057497e-65
-1.5904774642685436e-71
Samples
13.0ms178×0valid
3.0ms19×1valid
3.0ms35×0invalid
2.0ms11×2valid
Compiler

Compiled 921 to 704 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.9% of total)
ival-div: 2.0ms (13.6% of total)
ival-sqrt: 2.0ms (13.6% of total)
adjust: 1.0ms (6.8% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
-20.1MiB live, 25.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-5.712500822600752e-302
3.7373363721289617e-308
Samples
12.0ms144×0valid
5.0ms59×0invalid
Compiler

Compiled 569 to 416 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.5% of total)
ival-neg: 2.0ms (17% of total)
ival-div: 1.0ms (8.5% of total)
ival-add: 1.0ms (8.5% of total)
ival-sub: 1.0ms (8.5% of total)
ival-sqrt: 1.0ms (8.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-5.712500822600752e-302
3.7373363721289617e-308
Compiler

Compiled 416 to 344 computations (17.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-5.712500822600752e-302
3.7373363721289617e-308
Compiler

Compiled 506 to 398 computations (21.3% saved)

simplify55.0ms (0.7%)

Memory
-6.4MiB live, 43.2MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
090550
1167541
2412527
31222509
44243491
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6518515124270355/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6518515124270355/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6518515124270355/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2003377295107783/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 3055553964501729/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))
Outputs
(if (<=.f64 b #s(literal -4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6518515124270355/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6518515124270355/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -4499999999999999974429565382633177664789268512599431293281255448379551384886050990420847233375141888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6518515124270355/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2003377295107783/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 3055553964501729/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64))))
#s(approx (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) 2) (* -2 a)) (* a b)) (* a (* -2 a))) #s(approx (/ 0 a) #s(literal 0 binary64)))

derivations834.0ms (11%)

Memory
5.4MiB live, 520.1MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09685988
135885819
082965555
01451
02351
17451
250450
3631749
0827445
08585468
129925353
091345110
05452842
119162807
279102807
080902667
046278
075272
1265270
21685263
08447262
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 554 to 93 computations (83.2% saved)

preprocess118.0ms (1.6%)

Memory
-9.1MiB live, 89.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 1 352 to 270 computations (80% saved)

end0.0ms (0%)

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

Profiling

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