Falkner and Boettcher, Appendix B, 2

Time bar (total: 7.0s)

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.4s (20.6%)

Memory
13.5MiB live, 1 699.3MiB allocated; 430ms collecting garbage
Samples
1.1s8 256×0valid
1.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 899.0ms
ival-mult: 348.0ms (38.7% of total)
ival-sqrt: 290.0ms (32.3% of total)
ival-div: 135.0ms (15% of total)
ival-sub: 100.0ms (11.1% of total)
exact: 15.0ms (1.7% of total)
ival-true: 5.0ms (0.6% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain195.0ms (2.8%)

Memory
-6.7MiB live, 428.8MiB allocated; 62ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-#s(literal 4 binary64)
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (36.7% of total)
ival-sub: 9.0ms (27.5% of total)
ival-sqrt: 7.0ms (21.4% of total)
ival-div: 3.0ms (9.2% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess169.0ms (2.4%)

Memory
27.4MiB live, 230.2MiB allocated; 21ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
14838
217138
352438
4157938
5311138
6413938
7618238
01419
02319
14519
212219
334219
491019
5174819
6259319
7342719
8387619
9561719
0805517
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
Symmetry

(abs v)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune2.0ms (0%)

Memory
-44.4MiB live, 1.4MiB allocated; 2ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify163.0ms (2.3%)

Memory
19.8MiB live, 166.9MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
cost-diff1
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
02371
14571
212271
334271
491071
5174871
6259371
7342771
8387671
9561771
0805566
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize32.0ms (0.5%)

Memory
18.7MiB live, 63.8MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
accuracy0.015625
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
accuracy0.015625
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.15625
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
23.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.5% of total)
ival-sqrt: 4.0ms (29.2% of total)
ival-div: 2.0ms (14.6% of total)
ival-sub: 2.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-32.5MiB live, 13.5MiB allocated; 7ms collecting garbage
Counts
6 → 39
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Outputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
1
(+ 1 (* -3 (pow v 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 3 (pow v 2))
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
26.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))))
2.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))))
1.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))))

simplify204.0ms (2.9%)

Memory
39.5MiB live, 223.2MiB allocated; 23ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174948
1598915
22711843
08402807
Stop Event
1×iter limit
1×node limit
Counts
39 → 39
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
1
(+ 1 (* -3 (pow v 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 3 (pow v 2))
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (*.f64 v v) #s(literal 3/8 binary64))) #s(literal 1/4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/32 binary64) (*.f64 v v) #s(literal -3/8 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (*.f64 v v) #s(literal -9/32 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(* 3 (pow v 2))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(+ 1 (* -3/2 (pow v 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(fma.f64 (-.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) #s(literal 9/8 binary64)) v) v) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* -3 (pow v 2))
(*.f64 #s(literal -3 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)) v) v)
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (sqrt.f64 #s(literal 2 binary64)))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v)
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v)
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* v (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) v)
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(*.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) v)
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(*.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) v)
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(*.f64 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(* -1 (* v (sqrt -3)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -3 binary64)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) v)
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(*.f64 (neg.f64 v) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(*.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))))

rewrite158.0ms (2.3%)

Memory
-8.9MiB live, 185.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
02356
17654
248754
3533854
0871849
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 248
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/4 binary64) (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))))

eval42.0ms (0.6%)

Memory
16.4MiB live, 62.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 8 143 to 1 193 computations (85.3% saved)

prune152.0ms (2.2%)

Memory
-43.0MiB live, 100.5MiB allocated; 102ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2816287
Fresh000
Picked101
Done000
Total2826288
Accuracy
100.0%
Counts
288 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
▶100.0%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
98.5%
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
▶98.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Compiler

Compiled 272 to 196 computations (27.9% saved)

simplify129.0ms (1.8%)

Memory
-23.6MiB live, 170.6MiB allocated; 17ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
cost-diff2
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff1
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
cost-diff2
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff0
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
cost-diff1
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff2
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041316
066314
1127314
2362306
31067304
43084304
55452304
67366304
08282290
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))

localize127.0ms (1.8%)

Memory
-3.3MiB live, 233.4MiB allocated; 23ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.0078125
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
accuracy0.01171875
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.015625
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.015625
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.39760495537733276
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
accuracy0.0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.7658772523154286
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy0.0
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.015625
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Samples
101.0ms256×0valid
Compiler

Compiled 322 to 40 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 20.0ms (39.8% of total)
ival-add: 11.0ms (21.9% of total)
ival-div: 6.0ms (11.9% of total)
ival-sqrt: 6.0ms (11.9% of total)
ival-sub: 3.0ms (6% of total)
ival-pow: 3.0ms (6% of total)
exact: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Counts
17 → 80
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(*.f64 v v)
Outputs
2
(+ 2 (* -6 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
1/4
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* -9/32 (pow v 2)) 3/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (- (* -27/64 (pow v 2)) 9/32)) 3/8)))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(pow v 2)
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* 1/4 (* v (sqrt -3)))
(* v (+ (* 1/4 (sqrt -3)) (* 1/8 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (* 1/4 (sqrt -3)) (/ 1/8 (* (pow v 2) (sqrt -3)))) (/ 1/32 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (* 1/4 (sqrt -3)) (+ (/ 1/8 (* (pow v 2) (sqrt -3))) (* 1/64 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (sqrt -3)))
(* -1 (* v (+ (* 1/4 (sqrt -3)) (* 1/8 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -3)) (/ 1/8 (* (pow v 2) (sqrt -3)))) (/ 1/32 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -3)) (+ (/ 1/8 (* (pow v 2) (sqrt -3))) (* 1/64 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
v
@inf
((* (+ (* -3 (* v v)) 1) 2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (* (* (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt 2)) (- 1 (* v v))) (* (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt (+ (* -3 (* v v)) 1)) (/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* v v))
2.0ms
v
@0
((* (+ (* -3 (* v v)) 1) 2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (* (* (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt 2)) (- 1 (* v v))) (* (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt (+ (* -3 (* v v)) 1)) (/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* v v))
2.0ms
v
@-inf
((* (+ (* -3 (* v v)) 1) 2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (* (* (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt 2)) (- 1 (* v v))) (* (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4) (sqrt (+ (* -3 (* v v)) 1)) (/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* v v))

simplify261.0ms (3.7%)

Memory
-24.7MiB live, 309.6MiB allocated; 42ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891859
110231796
245961723
081311630
Stop Event
1×iter limit
1×node limit
Counts
80 → 80
Calls
Call 1
Inputs
2
(+ 2 (* -6 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
1/4
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* -9/32 (pow v 2)) 3/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (- (* -27/64 (pow v 2)) 9/32)) 3/8)))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(pow v 2)
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* 1/4 (* v (sqrt -3)))
(* v (+ (* 1/4 (sqrt -3)) (* 1/8 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (* 1/4 (sqrt -3)) (/ 1/8 (* (pow v 2) (sqrt -3)))) (/ 1/32 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (* 1/4 (sqrt -3)) (+ (/ 1/8 (* (pow v 2) (sqrt -3))) (* 1/64 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (sqrt -3)))
(* -1 (* v (+ (* 1/4 (sqrt -3)) (* 1/8 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -3)) (/ 1/8 (* (pow v 2) (sqrt -3)))) (/ 1/32 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -3)) (+ (/ 1/8 (* (pow v 2) (sqrt -3))) (* 1/64 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3/8 binary64) v) v #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (*.f64 v v) #s(literal 3/8 binary64))) #s(literal 1/4 binary64))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/32 binary64) (*.f64 v v) #s(literal -3/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (*.f64 v v) #s(literal -9/32 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/16 binary64) (*.f64 v v) #s(literal -9/8 binary64)))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -3/8 (pow v 2)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* (pow v 2) (- (* -9/32 (pow v 2)) 3/8)))
(fma.f64 (-.f64 (*.f64 #s(literal -9/32 binary64) (*.f64 v v)) #s(literal 3/8 binary64)) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (- (* -27/64 (pow v 2)) 9/32)) 3/8)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/64 binary64) (*.f64 v v)) #s(literal 9/32 binary64)) v) v) #s(literal 3/8 binary64)) (*.f64 v v) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(fma.f64 (-.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) #s(literal 9/8 binary64)) v) v) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (*.f64 v v) #s(literal -17/8 binary64)))))
(pow v 2)
(*.f64 v v)
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v)
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v)
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* v (* (sqrt -3) (sqrt 2)))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v)
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
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rewrite188.0ms (2.7%)

Memory
14.6MiB live, 293.9MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041212
066203
1212201
21324196
09034196
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 875
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(*.f64 v v)
Outputs
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))))) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
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(neg.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (*.f64 v v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (neg.f64 v) v)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 v) v) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v)) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (neg.f64 v))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v))) v)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v (fabs.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64))))
(*.f64 v v)
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))

eval196.0ms (2.8%)

Memory
-17.8MiB live, 269.3MiB allocated; 30ms collecting garbage
Compiler

Compiled 30 408 to 3 064 computations (89.9% saved)

prune49.0ms (0.7%)

Memory
-3.3MiB live, 44.3MiB allocated; 1ms collecting garbage
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New8416847
Fresh101
Picked325
Done000
Total8458853
Accuracy
100.0%
Counts
853 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
▶99.5%
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
▶100.0%
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.4%
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓98.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
▶46.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Compiler

Compiled 444 to 318 computations (28.4% saved)

simplify218.0ms (3.1%)

Memory
24.2MiB live, 213.4MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
cost-diff1
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
cost-diff0
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff1
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff2
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff0
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
cost-diff0
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062458
094455
1199455
2624425
32247425
45650425
09238419
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -5/8 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
#s(literal -5/2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
#s(literal -5/8 binary64)
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))
#s(literal -17/8 binary64)
(*.f64 v v)
v
#s(literal -3/2 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
Outputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -5/8 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
#s(literal -5/2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
#s(literal -5/8 binary64)
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)))
(*.f64 (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))
#s(literal -17/8 binary64)
(*.f64 v v)
v
#s(literal -3/2 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)

localize185.0ms (2.6%)

Memory
12.5MiB live, 167.0MiB allocated; 12ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.01171875
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
accuracy0.2876706242178414
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.98046875
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)))
accuracy0.08984375
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy0.22332001953688405
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
accuracy0.39760495537733276
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
accuracy32.65385839858939
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.015625
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.224941259768442
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
accuracy0.39760495537733276
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
accuracy0.39760495537733276
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.0
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.015625
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Samples
123.0ms256×0valid
Compiler

Compiled 346 to 57 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 30.0ms (51.6% of total)
ival-add: 9.0ms (15.5% of total)
ival-div: 6.0ms (10.3% of total)
ival-sqrt: 5.0ms (8.6% of total)
ival-sub: 3.0ms (5.2% of total)
ival-pow: 3.0ms (5.2% of total)
exact: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
-16.1MiB live, 27.9MiB allocated; 8ms collecting garbage
Counts
22 → 74
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)))
(*.f64 v v)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
Outputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(* (pow v 2) (sqrt 2))
(* 1/4 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(+ (sqrt 2) (* (pow v 2) (+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(* -3/2 (sqrt 2))
(+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))
(pow v 2)
(/ 1/4 (pow v 2))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -5/8 (sqrt 2))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(* -17/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (+ (* -3/2 (/ (sqrt 2) (pow v 2))) (/ (sqrt 2) (pow v 4)))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* -17/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
Calls

3 calls:

TimeVariablePointExpression
27.0ms
v
@0
((* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (sqrt 2) (+ (* -5/8 (* v v)) 1/4) (* (+ (* (* (sqrt 2) (* v v)) -5/2) (sqrt 2)) 1/4) (+ (* (* (sqrt 2) (* v v)) -5/2) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* v v)) (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (+ (* (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v) (/ 1/4 (* v v)))
4.0ms
v
@inf
((* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (sqrt 2) (+ (* -5/8 (* v v)) 1/4) (* (+ (* (* (sqrt 2) (* v v)) -5/2) (sqrt 2)) 1/4) (+ (* (* (sqrt 2) (* v v)) -5/2) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* v v)) (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (+ (* (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v) (/ 1/4 (* v v)))
3.0ms
v
@-inf
((* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (sqrt 2) (+ (* -5/8 (* v v)) 1/4) (* (+ (* (* (sqrt 2) (* v v)) -5/2) (sqrt 2)) 1/4) (+ (* (* (sqrt 2) (* v v)) -5/2) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* v v)) (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (+ (* (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v) (/ 1/4 (* v v)))

simplify240.0ms (3.4%)

Memory
-12.1MiB live, 222.4MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441640
18981565
242841438
080991367
Stop Event
1×iter limit
1×node limit
Counts
74 → 74
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(* (pow v 2) (sqrt 2))
(* 1/4 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(+ (sqrt 2) (* (pow v 2) (+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(* -3/2 (sqrt 2))
(+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))
(pow v 2)
(/ 1/4 (pow v 2))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -5/8 (sqrt 2))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(* -17/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (+ (* -3/2 (/ (sqrt 2) (pow v 2))) (/ (sqrt 2) (pow v 4)))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* -17/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (*.f64 v v) #s(literal 3/8 binary64))) #s(literal 1/4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/32 binary64) (*.f64 v v) #s(literal -3/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (*.f64 v v) #s(literal -9/32 binary64))) (pow.f64 v #s(literal 4 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/16 binary64) (*.f64 v v) #s(literal -9/8 binary64))) (pow.f64 v #s(literal 4 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 2) (sqrt 2))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)
(* 1/4 (/ (sqrt 2) (pow v 2)))
(*.f64 (/.f64 #s(literal 1/4 binary64) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) v))
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(*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))))))

rewrite252.0ms (3.6%)

Memory
21.7MiB live, 458.7MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062383
094383
1369381
22589381
09677367
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 412
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)))
(*.f64 v v)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
Outputs
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (fma.f64 v v #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (fma.f64 v v #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)) (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)))) (neg.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) (neg.f64 (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) (neg.f64 (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (*.f64 #s(literal -4 binary64) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (*.f64 #s(literal 4 binary64) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
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(fma.f64 (*.f64 v v) (*.f64 #s(literal -17/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4913/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -17/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (neg.f64 v))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v))) v)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v (fabs.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64))))
(*.f64 v v)
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 v))) (neg.f64 (neg.f64 v)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v))) (neg.f64 (neg.f64 v)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 v))) v)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v))) v)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) v)) v)
(/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 v)) (neg.f64 v))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 v) v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(sqrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(fabs.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))

eval117.0ms (1.7%)

Memory
9.8MiB live, 197.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 31 606 to 2 953 computations (90.7% saved)

prune15.0ms (0.2%)

Memory
5.9MiB live, 51.1MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New7072709
Fresh101
Picked145
Done022
Total7098717
Accuracy
100.0%
Counts
717 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
▶99.3%
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
✓100.0%
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.4%
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓98.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓46.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Compiler

Compiled 249 to 180 computations (27.7% saved)

simplify46.0ms (0.7%)

Memory
-8.4MiB live, 38.8MiB allocated; 1ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 v #s(literal 4 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
cost-diff0
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036261
052261
196261
2258243
3718243
41462243
51828243
61891243
71980243
82064243
92069243
102069243
02069239
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -3/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 4 binary64))
v
#s(literal 4 binary64)
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
Outputs
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 v v) #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 v v) #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64)))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 4 binary64))
v
#s(literal 4 binary64)
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))

localize88.0ms (1.3%)

Memory
-12.6MiB live, 164.7MiB allocated; 32ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.0
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy0.01171875
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
accuracy0.01171875
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
accuracy0.2876706242178414
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.7275725564434318
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy1.0
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
Samples
50.0ms256×0valid
Compiler

Compiled 189 to 32 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 16.0ms (45.6% of total)
ival-add: 7.0ms (19.9% of total)
ival-sqrt: 5.0ms (14.2% of total)
ival-div: 3.0ms (8.5% of total)
ival-pow: 3.0ms (8.5% of total)
ival-sub: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Counts
11 → 51
Calls
Call 1
Inputs
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Outputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))))
(* -3/2 (sqrt 2))
(+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))
1
(+ 1 (* -1 (pow v 4)))
(pow v 4)
2
(+ 2 (* -6 (pow v 2)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* -17/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (+ (* -3/2 (/ (sqrt 2) (pow v 2))) (/ (sqrt 2) (pow v 4)))))
(* -17/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
v
@inf
((/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (+ (* (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (/ (* (- 1 (pow v 4)) (sqrt (* (+ (* -3 (* v v)) 1) 2))) (* (+ (* v v) 1) 4)) (* (- 1 (pow v 4)) (sqrt (* (+ (* -3 (* v v)) 1) 2))) (- 1 (pow v 4)) (pow v 4) (* -3/2 (sqrt 2)) (* (+ (* -3 (* v v)) 1) 2) (sqrt (* (+ (* -3 (* v v)) 1) 2)))
2.0ms
v
@-inf
((/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (+ (* (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (/ (* (- 1 (pow v 4)) (sqrt (* (+ (* -3 (* v v)) 1) 2))) (* (+ (* v v) 1) 4)) (* (- 1 (pow v 4)) (sqrt (* (+ (* -3 (* v v)) 1) 2))) (- 1 (pow v 4)) (pow v 4) (* -3/2 (sqrt 2)) (* (+ (* -3 (* v v)) 1) 2) (sqrt (* (+ (* -3 (* v v)) 1) 2)))
1.0ms
v
@0
((/ (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (* (+ (* v v) 1) 4)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (+ (* (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (/ (* (- 1 (pow v 4)) (sqrt (* (+ (* -3 (* v v)) 1) 2))) (* (+ (* v v) 1) 4)) (* (- 1 (pow v 4)) (sqrt (* (+ (* -3 (* v v)) 1) 2))) (- 1 (pow v 4)) (pow v 4) (* -3/2 (sqrt 2)) (* (+ (* -3 (* v v)) 1) 2) (sqrt (* (+ (* -3 (* v v)) 1) 2)))

simplify377.0ms (5.4%)

Memory
19.7MiB live, 329.4MiB allocated; 216ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931216
17011159
233471126
081641061
Stop Event
1×iter limit
1×node limit
Counts
51 → 51
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))))
(* -3/2 (sqrt 2))
(+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))
1
(+ 1 (* -1 (pow v 4)))
(pow v 4)
2
(+ 2 (* -6 (pow v 2)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* -17/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (+ (* -3/2 (/ (sqrt 2) (pow v 2))) (/ (sqrt 2) (pow v 4)))))
(* -17/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -17/8 binary64) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 #s(literal -17/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))
(+ (sqrt 2) (* (pow v 2) (+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -17/8 binary64) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(* -3/2 (sqrt 2))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -17/8 (* (pow v 2) (sqrt 2))) (* -3/2 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -17/8 binary64) #s(literal -3/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 4)))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow v 4)
(pow.f64 v #s(literal 4 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/16 binary64) (*.f64 v v) #s(literal -9/8 binary64))) (pow.f64 v #s(literal 4 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 #s(literal -1/2 binary64) v) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 #s(literal -1/2 binary64) v) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64))))))) (pow.f64 v #s(literal 5 binary64)))
(* -17/8 (* (pow v 4) (sqrt 2)))
(*.f64 (*.f64 #s(literal -17/8 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 #s(literal -17/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))
(* (pow v 4) (+ (* -17/8 (sqrt 2)) (+ (* -3/2 (/ (sqrt 2) (pow v 2))) (/ (sqrt 2) (pow v 4)))))
(*.f64 (fma.f64 #s(literal -17/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -3/2 binary64) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 4 binary64)))
(* -17/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -17/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -17/8 (sqrt 2)) (* -3/2 (/ (sqrt 2) (pow v 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 #s(literal -17/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(* -1 (pow v 4))
(neg.f64 (pow.f64 v #s(literal 4 binary64)))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64)))
(* -6 (pow v 2))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* v (* (sqrt -3) (sqrt 2)))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v)
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v)
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 #s(literal -1/2 binary64) v) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 #s(literal -1/2 binary64) v) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))))))) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))

rewrite1.0s (14.7%)

Memory
-190.0MiB live, 312.3MiB allocated; 1.3s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036217
052217
1187212
21248212
08373202
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 269
Calls
Call 1
Inputs
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Outputs
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(*.f64 (fabs.f64 (pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))

eval47.0ms (0.7%)

Memory
-36.5MiB live, 104.7MiB allocated; 13ms collecting garbage
Compiler

Compiled 16 028 to 1 304 computations (91.9% saved)

prune11.0ms (0.2%)

Memory
39.7MiB live, 39.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3172319
Fresh000
Picked202
Done066
Total3198327
Accuracy
100.0%
Counts
327 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
99.3%
(/.f64 (*.f64 #s(approx (- 1 (pow v 4)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
✓100.0%
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.4%
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓98.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓46.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Compiler

Compiled 737 to 296 computations (59.8% saved)

regimes14.0ms (0.2%)

Memory
-10.9MiB live, 35.9MiB allocated; 3ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 #s(approx (- 1 (pow v 4)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 #s(approx (* (sqrt 2) (+ (* -17/8 (* v v)) -3/2)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (- 1 (pow v 4))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Calls

3 calls:

6.0ms
v
4.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
100.0%1(*.f64 v v)
100.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
Calls

3 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
99.4%1(*.f64 v v)
99.4%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.4%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes34.0ms (0.5%)

Memory
-20.2MiB live, 35.2MiB allocated; 17ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
Outputs
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
Calls

3 calls:

31.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.4%1(*.f64 v v)
99.4%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.4%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Calls

3 calls:

1.0ms
v
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.8%1(*.f64 v v)
98.8%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
98.8%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify66.0ms (0.9%)

Memory
-5.2MiB live, 88.2MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042109
176109
2207109
3614109
41695109
53192109
64389109
75890109
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Outputs
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

derivations570.0ms (8.1%)

Memory
-8.7MiB live, 597.5MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041212
066203
1212201
21324196
09034196
01456
02356
17654
248754
3533854
0871849
02891859
110231796
245961723
081311630
0174948
1598915
22711843
08402807
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 109 to 45 computations (58.7% saved)

preprocess92.0ms (1.3%)

Memory
22.9MiB live, 122.1MiB allocated; 22ms collecting garbage
Remove

(abs v)

Compiler

Compiled 306 to 156 computations (49% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...