Falkner and Boettcher, Appendix B, 2

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.2%)

Memory
-32.2MiB live, 9.7MiB allocated
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)

sample1.5s (22%)

Memory
-6.0MiB live, 1 248.7MiB allocated
Samples
1.0s8 256×0valid
1.0ms9×0invalid
Precisions
Click to see histograms. Total time spent on operations: 811.0ms
ival-mult: 324.0ms (40% of total)
ival-sqrt: 180.0ms (22.2% of total)
ival-sub: 178.0ms (22% of total)
ival-div: 103.0ms (12.7% of total)
exact: 15.0ms (1.9% of total)
ival-true: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain282.0ms (4.2%)

Memory
11.5MiB live, 313.3MiB allocated
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)
01(-1.3222835711368202e-162)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
133.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-div: 38.0ms (34.8% of total)
ival-sqrt: 38.0ms (34.8% of total)
ival-mult: 23.0ms (21.1% of total)
ival-sub: 7.0ms (6.4% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess249.0ms (3.7%)

Memory
3.9MiB live, 194.9MiB allocated
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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)

simplify144.0ms (2.1%)

Memory
-18.6MiB live, 120.6MiB allocated
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))

localize50.0ms (0.7%)

Memory
6.0MiB live, 52.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
accuracy0.01953125
(*.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)))))
accuracy0.01953125
(*.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)))
accuracy0.1484375
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
41.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sqrt: 22.0ms (68% of total)
ival-mult: 6.0ms (18.5% of total)
ival-div: 2.0ms (6.2% of total)
ival-sub: 2.0ms (6.2% 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)

series7.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
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
3.0ms
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)))))

simplify261.0ms (3.9%)

Memory
-3.8MiB live, 180.7MiB allocated
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))))))

rewrite212.0ms (3.1%)

Memory
-13.3MiB live, 140.6MiB allocated
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))))

eval64.0ms (0.9%)

Memory
-1.8MiB live, 97.8MiB allocated
Compiler

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

prune7.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2825287
Fresh000
Picked101
Done000
Total2835288
Accuracy
100.0%
Counts
288 → 5
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))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.5%
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.7%
#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)))
▶98.9%
#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)))
▶99.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
Compiler

Compiled 264 to 188 computations (28.8% saved)

simplify151.0ms (2.2%)

Memory
4.1MiB live, 234.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
cost-diff0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff0
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff4
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)))
cost-diff0
(*.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))))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
cost-diff1
(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)))
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
(*.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
#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-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-diff0
(*.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
044348
071345
1148337
2472333
31845333
45705333
08391326
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)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
(*.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))))
#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)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))
#s(literal 3/8 binary64)
(*.f64 v v)
v
#s(literal -5/2 binary64)
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 #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)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
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 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 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 (*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 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))
(*.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) #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)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)) v) v #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.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))))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)) v) v #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#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)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)))
(*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))
#s(literal 3/8 binary64)
(*.f64 v v)
v
#s(literal -5/2 binary64)
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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))) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 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)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize103.0ms (1.5%)

Memory
17.0MiB live, 252.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.01953125
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.97265625
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.01171875
(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)))
accuracy0.02734375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)))
accuracy0.1191554443167098
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.02734375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.16736528273054202
#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))
accuracy0.7168306877131047
#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)
accuracy0.00390625
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.01953125
(*.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
72.0ms256×0valid
Compiler

Compiled 335 to 44 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 29.0ms (55.7% of total)
ival-sqrt: 7.0ms (13.4% of total)
ival-div: 5.0ms (9.6% of total)
ival-add: 5.0ms (9.6% of total)
ival-pow: 3.0ms (5.8% of total)
ival-sub: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory
-28.6MiB live, 110.7MiB allocated
Counts
20 → 105
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))
#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)))
(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)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
(*.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))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
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))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* -5/2 (sqrt 2))
(+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))
(* 1/4 (pow 4 1/4))
(+ (* -3/8 (* (pow 4 1/4) (pow v 2))) (* 1/4 (pow 4 1/4)))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -3/8 (pow 4 1/4)) (* -9/32 (* (pow 4 1/4) (pow v 2))))))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -3/8 (pow 4 1/4)) (* (pow v 2) (+ (* -27/64 (* (pow 4 1/4) (pow v 2))) (* -9/32 (pow 4 1/4)))))))
(+ (* -5/8 (* (pow 4 1/4) (pow v 2))) (* 1/4 (pow 4 1/4)))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -5/8 (pow 4 1/4)) (* 3/32 (* (pow 4 1/4) (pow v 2))))))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -5/8 (pow 4 1/4)) (* (pow v 2) (+ (* -9/64 (* (pow 4 1/4) (pow v 2))) (* 3/32 (pow 4 1/4)))))))
(* 1/4 (pow 4 1/8))
(+ (* -3/8 (* (pow 4 1/8) (pow v 2))) (* 1/4 (pow 4 1/8)))
(+ (* 1/4 (pow 4 1/8)) (* (pow v 2) (+ (* -3/8 (pow 4 1/8)) (* -9/32 (* (pow 4 1/8) (pow v 2))))))
(+ (* 1/4 (pow 4 1/8)) (* (pow v 2) (+ (* -3/8 (pow 4 1/8)) (* (pow v 2) (+ (* -27/64 (* (pow 4 1/8) (pow v 2))) (* -9/32 (pow 4 1/8)))))))
(pow v 2)
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)))
(* -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))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* 1/4 (* (pow 4 1/4) (* v (sqrt -3))))
(* v (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3)))))
(* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3))))))
(* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/4) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3)))))))
(* -1/4 (* (pow 4 1/4) (* (pow v 3) (sqrt -3))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* -1/4 (* (pow 4 1/4) (/ (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5)))) (pow v 6)))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2))))))))
(* 1/4 (* (pow 4 1/8) (* v (sqrt -3))))
(* v (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3)))))
(* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3))))))
(* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/8) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -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))))))
(* 1/4 (* (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 (* (pow 4 1/4) (* v (sqrt -3))))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3)))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/4) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3))))))))
(* 1/4 (* (pow 4 1/4) (* (pow v 3) (sqrt -3))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* -1/4 (* (pow 4 1/4) (/ (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5)))) (pow v 6)))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))))
(* -1/4 (* (pow 4 1/8) (* v (sqrt -3))))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3)))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/8) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -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)))))))
Calls

3 calls:

TimeVariablePointExpression
41.0ms
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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2))) (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (* (* (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (- 1 (* v v))) (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4)) (* v v) (sqrt (+ (* -3 (* v v)) 1)))
15.0ms
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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2))) (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (* (* (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (- 1 (* v v))) (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4)) (* v v) (sqrt (+ (* -3 (* v v)) 1)))
6.0ms
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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2))) (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (* (* (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (- 1 (* v v))) (pow 4 1/8) (* (pow 4 1/8) (/ (sqrt (+ (* -3 (* v v)) 1)) 4)) (* v v) (sqrt (+ (* -3 (* v v)) 1)))

simplify185.0ms (2.7%)

Memory
37.9MiB live, 232.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03702603
113802434
264362377
087032253
Stop Event
1×iter limit
1×node limit
Counts
105 → 105
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))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* -5/2 (sqrt 2))
(+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))
(* 1/4 (pow 4 1/4))
(+ (* -3/8 (* (pow 4 1/4) (pow v 2))) (* 1/4 (pow 4 1/4)))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -3/8 (pow 4 1/4)) (* -9/32 (* (pow 4 1/4) (pow v 2))))))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -3/8 (pow 4 1/4)) (* (pow v 2) (+ (* -27/64 (* (pow 4 1/4) (pow v 2))) (* -9/32 (pow 4 1/4)))))))
(+ (* -5/8 (* (pow 4 1/4) (pow v 2))) (* 1/4 (pow 4 1/4)))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -5/8 (pow 4 1/4)) (* 3/32 (* (pow 4 1/4) (pow v 2))))))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -5/8 (pow 4 1/4)) (* (pow v 2) (+ (* -9/64 (* (pow 4 1/4) (pow v 2))) (* 3/32 (pow 4 1/4)))))))
(* 1/4 (pow 4 1/8))
(+ (* -3/8 (* (pow 4 1/8) (pow v 2))) (* 1/4 (pow 4 1/8)))
(+ (* 1/4 (pow 4 1/8)) (* (pow v 2) (+ (* -3/8 (pow 4 1/8)) (* -9/32 (* (pow 4 1/8) (pow v 2))))))
(+ (* 1/4 (pow 4 1/8)) (* (pow v 2) (+ (* -3/8 (pow 4 1/8)) (* (pow v 2) (+ (* -27/64 (* (pow 4 1/8) (pow v 2))) (* -9/32 (pow 4 1/8)))))))
(pow v 2)
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)))
(* -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))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* 1/4 (* (pow 4 1/4) (* v (sqrt -3))))
(* v (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3)))))
(* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3))))))
(* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/4) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3)))))))
(* -1/4 (* (pow 4 1/4) (* (pow v 3) (sqrt -3))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* -1/4 (* (pow 4 1/4) (/ (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5)))) (pow v 6)))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2))))))))
(* 1/4 (* (pow 4 1/8) (* v (sqrt -3))))
(* v (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3)))))
(* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3))))))
(* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/8) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -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))))))
(* 1/4 (* (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 (* (pow 4 1/4) (* v (sqrt -3))))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3)))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/4) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/4) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/4) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/4) (sqrt -3))))))))
(* 1/4 (* (pow 4 1/4) (* (pow v 3) (sqrt -3))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* -1/4 (* (pow 4 1/4) (/ (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5)))) (pow v 6)))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))))
(* -1/4 (* (pow 4 1/8) (* v (sqrt -3))))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3)))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/8) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -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)))))))
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)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/32 binary64) (*.f64 v v) #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)))))))))
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(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/4) (sqrt -3))) (+ (* -1/4 (* (pow 4 1/4) (/ (+ (* 1/8 (/ 1 (pow (sqrt -3) 3))) (* 1/16 (/ 1 (pow (sqrt -3) 5)))) (pow v 6)))) (+ (* 1/4 (* (pow 4 1/4) (/ (+ (* 1/2 (/ 1 (sqrt -3))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 4)))) (* 1/4 (* (pow 4 1/4) (/ (- (sqrt -3) (* 1/2 (/ 1 (sqrt -3)))) (pow v 2)))))))))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.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 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 11/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))))))
(* -1/4 (* (pow 4 1/8) (* v (sqrt -3))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) v) (sqrt.f64 #s(literal -3 binary64)))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3)))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/96 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))) (+ (* 1/64 (* (pow 4 1/8) (/ 1 (* (pow v 6) (pow (sqrt -3) 5))))) (+ (* 1/8 (* (pow 4 1/8) (/ 1 (* (pow v 2) (sqrt -3))))) (* 1/4 (* (pow 4 1/8) (sqrt -3))))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/96 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) v) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 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 (neg.f64 v) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) v) v) (sqrt.f64 #s(literal -3 binary64))))
(* -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 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) v) v) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 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 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) v) v)) (/.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))))

rewrite173.0ms (2.6%)

Memory
-31.4MiB live, 251.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044270
071255
1240252
21636252
08323252
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 807
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))
#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)))
(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)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
(*.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))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 v v) #s(literal -3 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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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)))))
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(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 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 1/2 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 (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 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 (*.f64 v v) #s(literal -3 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 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (sqrt.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 (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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 (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 (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 (sin.f64 (acos.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (sqrt.f64 (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 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.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 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 v v) #s(literal -3 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 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64))))

eval221.0ms (3.3%)

Memory
9.1MiB live, 302.8MiB allocated
Compiler

Compiled 39 325 to 4 189 computations (89.3% saved)

prune18.0ms (0.3%)

Memory
15.7MiB live, 62.2MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New9745979
Fresh000
Picked325
Done000
Total9777984
Accuracy
100.0%
Counts
984 → 7
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)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶52.5%
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.7%
#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))))
▶98.2%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
▶99.7%
#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)))
✓98.9%
#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)))
✓99.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
Compiler

Compiled 409 to 272 computations (33.5% saved)

simplify137.0ms (2%)

Memory
-26.2MiB live, 121.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
cost-diff2
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff2
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
cost-diff6
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))
cost-diff0
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))
cost-diff0
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64)) (-.f64 #s(literal 1 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
060552
094541
1185522
2574462
33199449
47827449
08076444
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)
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 v v))
#s(literal 2 binary64)
(*.f64 v v)
v
#s(literal 6 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/2 binary64) v)
#s(literal -5/2 binary64)
v
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(literal 1/8 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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 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 (*.f64 #s(literal -5/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 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 (*.f64 #s(literal -5/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 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 (*.f64 #s(literal -5/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 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 (*.f64 #s(literal -5/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 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 (*.f64 #s(literal -5/2 binary64) 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)
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #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) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 v v))
#s(literal 2 binary64)
(*.f64 v v)
v
#s(literal 6 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/32 binary64) (*.f64 v v)) (*.f64 v v)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/32 binary64) (*.f64 v v)) (*.f64 v v)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal -1/4 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 25/32 binary64) (*.f64 v v)) (*.f64 v v)) #s(literal 1/8 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 25/32 binary64) (*.f64 v v)) (*.f64 v v))
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 25/32 binary64)) (*.f64 (neg.f64 v) v))
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 25/2 binary64)) (*.f64 (neg.f64 v) v))
(*.f64 #s(literal -5/2 binary64) v)
#s(literal -5/2 binary64)
v
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) v)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(literal 1/8 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))

localize125.0ms (1.8%)

Memory
31.1MiB live, 219.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16736528273054202
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
accuracy0.20150375976844204
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
accuracy0.4609375
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
accuracy0.96875
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.01953125
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.0859375
(/.f64 #s(literal 2 binary64) (*.f64 v v))
accuracy0.16015625
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
accuracy29.22225558922938
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) 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)))
accuracy0.16736528273054202
#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)))
accuracy0.278007519536884
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.02734375
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
accuracy0.16736528273054202
#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
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.00390625
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.01953125
(*.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
91.0ms256×0valid
Compiler

Compiled 420 to 51 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 36.0ms (52% of total)
ival-div: 16.0ms (23.1% of total)
ival-sub: 6.0ms (8.7% of total)
ival-add: 5.0ms (7.2% of total)
ival-sqrt: 5.0ms (7.2% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-5.8MiB live, 39.3MiB allocated
Counts
27 → 65
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))
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(*.f64 v v)
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(/.f64 #s(literal 2 binary64) (*.f64 v v))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #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)))))))))
(+ (* -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))
(* 25/64 (* (pow v 4) (pow (sqrt 2) 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/2 (* (pow v 2) (sqrt 2)))
(pow v 2)
(/ 2 v)
(/ (+ 2 (* -6 (pow v 2))) v)
(/ 2 (pow v 2))
(/ 1/2 (sqrt 2))
(+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(* v (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)))))))
(* 1/4 (* 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))
(* (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))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -6 v)
(* v (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (+ (* -2/5 (/ (- (* 1/5 (/ 1 (sqrt 2))) (* 1/10 (sqrt 2))) (pow v 6))) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2)))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (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 (* v (- 6 (* 2 (/ 1 (pow v 2))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
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 (* (+ (* -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) (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)) (* (* -5/2 v) (* v (sqrt 2))) (* v v) (* (- (/ 2 (* v v)) 6) v) (* (* (- (/ 2 (* v v)) 6) v) v) (/ 2 (* v v)) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (* v (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* 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 (* (+ (* -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) (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)) (* (* -5/2 v) (* v (sqrt 2))) (* v v) (* (- (/ 2 (* v v)) 6) v) (* (* (- (/ 2 (* v v)) 6) v) v) (/ 2 (* v v)) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (* v (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* 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 (* (+ (* -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) (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)) (* (* -5/2 v) (* v (sqrt 2))) (* v v) (* (- (/ 2 (* v v)) 6) v) (* (* (- (/ 2 (* v v)) 6) v) v) (/ 2 (* v v)) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (* v (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))

simplify176.0ms (2.6%)

Memory
18.6MiB live, 248.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461357
18441286
237371264
084171185
Stop Event
1×iter limit
1×node limit
Counts
65 → 65
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))
(* 25/64 (* (pow v 4) (pow (sqrt 2) 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/2 (* (pow v 2) (sqrt 2)))
(pow v 2)
(/ 2 v)
(/ (+ 2 (* -6 (pow v 2))) v)
(/ 2 (pow v 2))
(/ 1/2 (sqrt 2))
(+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(* v (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)))))))
(* 1/4 (* 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))
(* (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))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -6 v)
(* v (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (+ (* -2/5 (/ (- (* 1/5 (/ 1 (sqrt 2))) (* 1/10 (sqrt 2))) (pow v 6))) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2)))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (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 (* v (- 6 (* 2 (/ 1 (pow v 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))))))
(*.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)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) v) v (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 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 (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)) (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)))))
(+ (* -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)))))
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 #s(literal -5/2 binary64) (*.f64 v v) #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)
(* 25/64 (* (pow v 4) (pow (sqrt 2) 2)))
(*.f64 #s(literal 25/32 binary64) (pow.f64 v #s(literal 4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* -5/2 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(pow v 2)
(*.f64 v v)
(/ 2 v)
(/.f64 #s(literal 2 binary64) v)
(/ (+ 2 (* -6 (pow v 2))) v)
(/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) v)
(/ 2 (pow v 2))
(/.f64 (/.f64 #s(literal 2 binary64) v) v)
(/ 1/2 (sqrt 2))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -25/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 25/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v (/.f64 #s(literal -5/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal -25/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 25/8 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (/.f64 #s(literal -5/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* v (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (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)))
(* 1/4 (* 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) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) (sqrt.f64 #s(literal 2 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)
(* -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 (/.f64 #s(literal 2 binary64) v) v) #s(literal 6 binary64)) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (*.f64 v v))
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* v (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) v) #s(literal 6 binary64)) v)
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(*.f64 (-.f64 (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal -1/4 binary64) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/10 binary64) (pow.f64 v #s(literal 4 binary64)))))) (*.f64 v v))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (+ (* -2/5 (/ (- (* 1/5 (/ 1 (sqrt 2))) (* 1/10 (sqrt 2))) (pow v 6))) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2)))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/10 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/5 binary64) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -2/5 binary64) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal -1/4 binary64) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/10 binary64) (pow.f64 v #s(literal 4 binary64)))))) (*.f64 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))))
(* -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)))
(* -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) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) (neg.f64 (sqrt.f64 #s(literal 2 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)))))))
(* -1 (* v (- 6 (* 2 (/ 1 (pow v 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 v v)) #s(literal -1 binary64) #s(literal -6 binary64)) v)

rewrite229.0ms (3.4%)

Memory
-37.3MiB live, 343.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060452
094375
1321371
22242366
08912355
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 918
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))
(*.f64 (/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(*.f64 v v)
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(/.f64 #s(literal 2 binary64) (*.f64 v v))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(*.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 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 (-.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 (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 4 binary64))))) (neg.f64 (fma.f64 v v #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 6 binary64))))) (neg.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #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 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 (fma.f64 v v #s(literal 1 binary64)) #s(literal -4 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)))))) (neg.f64 (*.f64 (fma.f64 v v #s(literal 1 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 (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 (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 (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 (*.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)))
(/.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 (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 (*.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 (*.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)))) (fma.f64 v v #s(literal 1 binary64)))
(/.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)))) (+.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) (*.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 (*.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)))))) (*.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 (-.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)))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -4 binary64)))
(/.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))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 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))))) (-.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 (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)))) (*.f64 #s(literal -4 binary64) (+.f64 (fma.f64 v v (pow.f64 v #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)))) (-.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 (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)))) (*.f64 #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) (*.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))
(fma.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)))
(fma.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 (*.f64 #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))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (neg.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 (/.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 1 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)))) (*.f64 (neg.f64 v) v)) #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 (/.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 (neg.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))))))) #s(literal -4 binary64))
(/.f64 (neg.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)))))) #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))))) #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 (/.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 (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))) (neg.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 (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)))
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(fma.f64 #s(literal -5/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/4 binary64) (fabs.f64 (*.f64 (fabs.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) v) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (fabs.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))
(fma.f64 #s(literal -5/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 v v) (fabs.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 v v) (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) v) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 v (fabs.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 v (pow.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 v (*.f64 #s(literal -5/2 binary64) (*.f64 v (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1/8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 15625/262144 binary64) (pow.f64 v #s(literal 12 binary64))) #s(literal 8 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 15625/262144 binary64) (pow.f64 v #s(literal 12 binary64))) #s(literal 8 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (*.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))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))))) (/.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) v)
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 v v)))
(sqrt.f64 (*.f64 (*.f64 v v) #s(literal 2 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))))

eval135.0ms (2%)

Memory
33.8MiB live, 272.3MiB allocated
Compiler

Compiled 51 058 to 4 292 computations (91.6% saved)

prune21.0ms (0.3%)

Memory
-24.8MiB live, 67.7MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 04331 046
Fresh000
Picked325
Done022
Total1 04671 053
Accuracy
100.0%
Counts
1 053 → 7
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)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.7%
#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))))
▶52.6%
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
✓98.9%
#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)))
✓99.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
▶98.2%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
▶97.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 288 to 180 computations (37.5% saved)

simplify154.0ms (2.3%)

Memory
28.0MiB live, 183.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055381
069373
1143357
2455319
32364319
45666319
08256309
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64))
#s(literal -5/4 binary64)
(*.f64 v v)
v
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(-.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)
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64))
#s(literal -5/4 binary64)
(*.f64 v v)
v
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(*.f64 #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(-.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)

localize133.0ms (2%)

Memory
-20.3MiB live, 168.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy0.15625
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
accuracy0.16736528273054202
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
accuracy29.012923396436403
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.16736528273054202
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.97265625
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.16736528273054202
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.7168369328328045
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy1.0
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
Samples
74.0ms256×0valid
Compiler

Compiled 228 to 50 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 29.0ms (50.2% of total)
ival-div: 9.0ms (15.6% of total)
ival-sub: 9.0ms (15.6% of total)
ival-sqrt: 5.0ms (8.7% of total)
ival-add: 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)

series7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
14 → 37
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
#s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) 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)))))))))
(/ 1/2 (sqrt 2))
(+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
1/2
(+ 1/2 (* -5/4 (pow v 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(/ 1/4 v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/ 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)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (+ (* -2/5 (/ (- (* 1/5 (/ 1 (sqrt 2))) (* 1/10 (sqrt 2))) (pow v 6))) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2)))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(* -5/4 (/ (pow v 2) (sqrt 2)))
(* (pow v 2) (- (* 1/2 (/ 1 (* (pow v 2) (sqrt 2)))) (* 5/4 (/ 1 (sqrt 2)))))
(* -5/4 (pow v 2))
(* (pow v 2) (- (* 1/2 (/ 1 (pow v 2))) 5/4))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 v)
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 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 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/ 1/2 (sqrt 2)) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (+ (* -5/4 (* v v)) 1/2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (+ (* -5/8 (* v v)) 1/4) (* (- (/ 1/4 (* v v)) 5/8) v) (* (* (- (/ 1/4 (* v v)) 5/8) v) v) (/ 1/4 (* v v)))
2.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/ 1/2 (sqrt 2)) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (+ (* -5/4 (* v v)) 1/2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (+ (* -5/8 (* v v)) 1/4) (* (- (/ 1/4 (* v v)) 5/8) v) (* (* (- (/ 1/4 (* v v)) 5/8) v) v) (/ 1/4 (* v v)))
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/ 1/2 (sqrt 2)) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/ (+ (* -5/4 (* v v)) 1/2) (sqrt 2)) (+ (* -5/4 (* v v)) 1/2) (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (+ (* -5/8 (* v v)) 1/4) (* (- (/ 1/4 (* v v)) 5/8) v) (* (* (- (/ 1/4 (* v v)) 5/8) v) v) (/ 1/4 (* v v)))

simplify179.0ms (2.6%)

Memory
-15.0MiB live, 259.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170750
1540709
22271647
08185617
Stop Event
1×iter limit
1×node limit
Counts
37 → 37
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)))))))))
(/ 1/2 (sqrt 2))
(+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
1/2
(+ 1/2 (* -5/4 (pow v 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(/ 1/4 v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/ 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)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (+ (* -2/5 (/ (- (* 1/5 (/ 1 (sqrt 2))) (* 1/10 (sqrt 2))) (pow v 6))) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2)))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(* -5/4 (/ (pow v 2) (sqrt 2)))
(* (pow v 2) (- (* 1/2 (/ 1 (* (pow v 2) (sqrt 2)))) (* 5/4 (/ 1 (sqrt 2)))))
(* -5/4 (pow v 2))
(* (pow v 2) (- (* 1/2 (/ 1 (pow v 2))) 5/4))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 v)
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 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 (* v (- 5/8 (* 1/4 (/ 1 (pow v 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))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 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 (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)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(/ 1/2 (sqrt 2))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -25/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 25/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v (/.f64 #s(literal -5/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/2 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 25/8 (/ 1 (sqrt 2)))))) (* 5/4 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -25/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 25/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v) (/.f64 #s(literal -5/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -5/4 (pow v 2)))
(fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 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)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) v) v) #s(literal -5/8 binary64))) (*.f64 v v))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(*.f64 (-.f64 (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/10 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) v) v)))) (*.f64 v v))
(* (pow v 2) (- (+ (* -5/8 (sqrt 2)) (+ (* -2/5 (/ (- (* 1/5 (/ 1 (sqrt 2))) (* 1/10 (sqrt 2))) (pow v 6))) (* 1/5 (/ 1 (* (pow v 4) (sqrt 2)))))) (+ (* -1/4 (/ (sqrt 2) (pow v 2))) (* 1/10 (/ (sqrt 2) (pow v 4))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/10 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/5 binary64) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -2/5 binary64) (-.f64 (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/10 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) v) v))))) (*.f64 v v))
(* -5/4 (/ (pow v 2) (sqrt 2)))
(*.f64 (*.f64 #s(literal -5/4 binary64) v) (/.f64 v (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (- (* 1/2 (/ 1 (* (pow v 2) (sqrt 2)))) (* 5/4 (/ 1 (sqrt 2)))))
(*.f64 (/.f64 (+.f64 #s(literal -5/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))
(* -5/4 (pow v 2))
(*.f64 #s(literal -5/4 binary64) (*.f64 v v))
(* (pow v 2) (- (* 1/2 (/ 1 (pow v 2))) 5/4))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) #s(literal 5/4 binary64)) v) v)
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) v) v) #s(literal 5/8 binary64)) v) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) v) v) #s(literal 5/8 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) #s(literal -1 binary64) #s(literal -5/8 binary64)) v)

rewrite180.0ms (2.7%)

Memory
14.2MiB live, 304.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055354
069318
1262300
21844248
08683238
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 128
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
#s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
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(+.f64 (/.f64 (*.f64 #s(literal -125/64 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25/16 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 25/16 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))))
(+.f64 (*.f64 #s(literal -5/4 binary64) (*.f64 v v)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -5/4 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
#s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(*.f64 v (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) v)) (neg.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)) v)) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)))) (neg.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 v (-.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) v) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)) v) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v))))
(/.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 v (-.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)))
(*.f64 v (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (*.f64 v v))) (neg.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)) (*.f64 v v))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (*.f64 v v)) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)) (*.f64 v v)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v))))
(/.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)))

eval24.0ms (0.4%)

Memory
16.7MiB live, 60.9MiB allocated
Compiler

Compiled 11 827 to 951 computations (92% saved)

prune15.0ms (0.2%)

Memory
-13.0MiB live, 27.6MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1821183
Fresh000
Picked123
Done044
Total1837190
Accuracy
100.0%
Counts
190 → 7
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)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.7%
#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))))
99.5%
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 #s(approx (* (- (/ 1/4 (* v v)) 5/8) v) (/.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) v)) v))))
✓98.9%
#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)))
✓99.8%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
✓98.2%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
✓97.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 846 to 321 computations (62.1% saved)

regimes12.0ms (0.2%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
15 → 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 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #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))))
#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))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 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)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 #s(approx (* (- (/ 1/4 (* v v)) 5/8) v) (/.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) v)) v))))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) 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 (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)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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)))))
(*.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(approx (* (+ (* -3 (* v v)) 1) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))) #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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.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)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.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:

4.0ms
v
3.0ms
(*.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)

regimes38.0ms (0.6%)

Memory
-21.6MiB live, 17.3MiB allocated
Counts
8 → 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 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #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))))
#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))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 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)))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 #s(approx (* (- (/ 1/4 (* v v)) 5/8) v) (/.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) v)) v))))
#s(approx (* (/ (sqrt (* (+ (* -3 (* v v)) 1) 2)) 4) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* -5/8 (* v v)) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) 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:

33.0ms
(*.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)))
2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.7%1(*.f64 v v)
99.7%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)))
99.7%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
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 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #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))))
#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))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 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:

2.0ms
v
2.0ms
(*.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
99.7%1(*.f64 v v)
99.7%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)))
99.7%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Accuracy

Total -1.0b remaining (-134.1%)

Threshold costs -1b (-134.1%)

Counts
2 → 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 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (/ (- (* (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* (* (* -5/2 v) (* v (sqrt 2))) 1/4)) 1/8) (- (* (* (* -5/2 v) (* v (sqrt 2))) 1/4) (* 1/4 (sqrt 2)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 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
98.9%1(*.f64 v v)
98.9%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)))
98.9%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify770.0ms (11.4%)

Memory
-209.4MiB live, 93.9MiB allocated
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)))

derivations656.0ms (9.7%)

Memory
9.0MiB live, 479.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174948
1598915
22711843
08402807
01456
02356
17654
248754
3533854
0871849
044270
071255
1240252
21636252
08323252
03702603
113802434
264362377
087032253
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 109 to 45 computations (58.7% saved)

preprocess54.0ms (0.8%)

Memory
5.3MiB live, 56.0MiB allocated
Remove

(abs v)

Compiler

Compiled 306 to 156 computations (49% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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