Falkner and Boettcher, Appendix B, 2

Time bar (total: 6.2s)

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.3s (21.6%)

Memory
39.3MiB live, 1 736.7MiB allocated; 363ms collecting garbage
Samples
939.0ms8 256×0valid
1.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 690.0ms
ival-mult: 275.0ms (39.9% of total)
ival-sqrt: 202.0ms (29.3% of total)
ival-div: 92.0ms (13.3% of total)
ival-sub: 92.0ms (13.3% of total)
exact: 16.0ms (2.3% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain162.0ms (2.6%)

Memory
16.6MiB live, 307.2MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-#s(literal 4 binary64)
01(1.0682699631614422e-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
49.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 12.0ms (40.7% of total)
ival-sqrt: 7.0ms (23.7% of total)
ival-sub: 5.0ms (17% of total)
ival-div: 4.0ms (13.6% of total)
exact: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess171.0ms (2.8%)

Memory
-22.3MiB live, 208.2MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs v)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify132.0ms (2.1%)

Memory
11.8MiB live, 165.7MiB allocated; 12ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize34.0ms (0.6%)

Memory
6.8MiB live, 53.4MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
accuracy0.0078125
(*.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)))))
accuracy0.0078125
(*.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)))
accuracy0.1796875
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
26.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (41.8% of total)
ival-sqrt: 4.0ms (27.9% of total)
ival-div: 2.0ms (13.9% of total)
ival-sub: 2.0ms (13.9% 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
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
6 → 39
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Outputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
1
(+ 1 (* -3 (pow v 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 3 (pow v 2))
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
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)))))

simplify234.0ms (3.8%)

Memory
-38.7MiB live, 194.4MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite145.0ms (2.3%)

Memory
38.7MiB live, 137.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval91.0ms (1.5%)

Memory
-32.8MiB live, 59.6MiB allocated; 5ms collecting garbage
Compiler

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

prune5.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2834287
Fresh000
Picked101
Done000
Total2844288
Accuracy
100.0%
Counts
288 → 4
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)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
▶98.9%
#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)))
Compiler

Compiled 95 to 69 computations (27.4% saved)

simplify179.0ms (2.9%)

Memory
-16.7MiB live, 126.0MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038254
059252
1113244
2330240
31134240
42875240
55519238
08064228
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))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (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))
(*.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))
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)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 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 (fma.f64 (*.f64 v v) #s(literal -5/8 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 (*.f64 v v) #s(literal -5/2 binary64) #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))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 1/4 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)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (fma.f64 v v #s(literal -1 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 1/4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 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 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #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 #s(literal 1/4 binary64) (sqrt.f64 (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)))
(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))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#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))

localize80.0ms (1.3%)

Memory
32.5MiB live, 124.9MiB allocated; 7ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.0078125
(*.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)))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.0078125
(*.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)))
accuracy0.0078125
(*.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)))
accuracy0.9765625
(*.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
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.36989916853053195
#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))
accuracy0.6988966670094563
#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)))
Samples
60.0ms256×0valid
Compiler

Compiled 253 to 37 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 19.0ms (43.4% of total)
ival-sqrt: 9.0ms (20.6% of total)
ival-div: 6.0ms (13.7% of total)
ival-pow: 3.0ms (6.9% of total)
ival-add: 2.0ms (4.6% of total)
ival-sub: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (1%)

Memory
-27.2MiB live, 71.9MiB allocated; 18ms collecting garbage
Counts
16 → 93
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)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (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 (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)))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 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)))))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (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)))))))
2
(+ 2 (* -6 (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)))))))
(+ (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)))))))
(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)))
(* -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)))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 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)))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 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))))))
(* 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 (* (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))))))))
(* -1/4 (* 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 (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
52.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (* (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)) (* (+ (* -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)) (* v v) (sqrt (+ (* -3 (* v v)) 1)))
4.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (* (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)) (* (+ (* -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)) (* v v) (sqrt (+ (* -3 (* v v)) 1)))
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) (* (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)) (* (+ (* -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)) (* v v) (sqrt (+ (* -3 (* v v)) 1)))

simplify176.0ms (2.8%)

Memory
37.5MiB live, 268.6MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03412417
112562262
259042207
080432095
Stop Event
1×iter limit
1×node limit
Counts
93 → 93
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)))))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (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)))))))
2
(+ 2 (* -6 (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)))))))
(+ (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)))))))
(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)))
(* -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)))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 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)))))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 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))))))
(* 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 (* (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))))))))
(* -1/4 (* 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 (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 #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)))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (pow 4 1/4))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))
(+ (* -3/8 (* (pow 4 1/4) (pow v 2))) (* 1/4 (pow 4 1/4)))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -3/8 (pow 4 1/4)) (* -9/32 (* (pow 4 1/4) (pow v 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/32 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) v) v (*.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (*.f64 v v) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(+ (* 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)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -27/64 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -9/32 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) v) v (*.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) (*.f64 v v) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow 4 1/4) (pow v 2))) (* 1/4 (pow 4 1/4)))
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (pow 4 1/4)) (* (pow v 2) (+ (* -5/8 (pow 4 1/4)) (* 3/32 (* (pow 4 1/4) (pow v 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3/32 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(+ (* 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)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -9/64 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3/32 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -5/8 binary64)))) (*.f64 v v) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (pow 4 1/8))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(+ (* -3/8 (* (pow 4 1/8) (pow v 2))) (* 1/4 (pow 4 1/8)))
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -3/8 binary64)) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (pow 4 1/8)) (* (pow v 2) (+ (* -3/8 (pow 4 1/8)) (* -9/32 (* (pow 4 1/8) (pow v 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -9/32 binary64)) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -3/8 binary64))) (*.f64 v v) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(+ (* 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)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -27/64 binary64)) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -9/32 binary64)) v) v (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -3/8 binary64)))) (*.f64 v v) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ (* -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) (* -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)))))
(pow v 2)
(*.f64 v v)
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(fma.f64 (-.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) #s(literal 9/8 binary64)) v) v) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(* -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)))))
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(* (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))))))
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(*.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 1/4 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(* -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)))))))
(*.f64 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))))
(* -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))))))))
(*.f64 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) v) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))))
(* 1/4 (* (pow 4 1/4) (* (pow v 3) (sqrt -3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 3 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(* -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)))))))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) v)) (/.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) v)))))
(* -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))))))))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 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 (* (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))))))))
(* -1/4 (* 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 (/.f64 (sqrt.f64 #s(literal 2 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 (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 (/.f64 (sqrt.f64 #s(literal 2 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 1/64 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 (neg.f64 v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (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 (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 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) 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 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (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)))))
(* -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 (/.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 #s(literal -1/2 binary64) (*.f64 (*.f64 (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)))))

rewrite177.0ms (2.9%)

Memory
9.2MiB live, 289.8MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038192
059202
1179184
21135176
09136172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 931
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)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (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 (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)))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
Outputs
#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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (cosh.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sinh.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64) (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
(*.f64 (neg.f64 (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)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)))) #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 (*.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))))) (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 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (*.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 (sin.f64 (acos.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))))) (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 #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 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 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 (sin.f64 (acos.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)))) (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 #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)))))
(neg.f64 (neg.f64 (sqrt.f64 (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 #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))))

eval142.0ms (2.3%)

Memory
-9.0MiB live, 222.4MiB allocated; 46ms collecting garbage
Compiler

Compiled 29 118 to 3 163 computations (89.1% saved)

prune14.0ms (0.2%)

Memory
0.9MiB live, 47.9MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New8594863
Fresh000
Picked314
Done000
Total8625867
Accuracy
100.0%
Counts
867 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.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)))
▶98.5%
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))))
✓98.9%
#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)))
Compiler

Compiled 133 to 100 computations (24.8% saved)

simplify130.0ms (2.1%)

Memory
13.7MiB live, 157.8MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046310
072302
1136302
2395294
31369294
43337294
55295294
67692294
08529289
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))) (*.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 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/2 binary64))
(*.f64 v v)
v
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.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 #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))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #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 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 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 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/2 binary64))
(*.f64 #s(literal -5/2 binary64) (*.f64 v v))
(*.f64 v v)
v
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v (/.f64 v #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 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 1/4 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))
(*.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 (fma.f64 v (/.f64 v #s(literal -4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #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 1/4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)

localize856.0ms (13.8%)

Memory
-209.2MiB live, 176.1MiB allocated; 1.3s collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.0
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.0078125
(*.f64 (/.f64 (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)))
accuracy0.00390625
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.0078125
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
accuracy0.9765625
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.1640625
(*.f64 (*.f64 v v) #s(literal -5/2 binary64))
accuracy0.36989916853053195
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy0.0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.36989916853053195
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))))
Samples
813.0ms256×0valid
Compiler

Compiled 276 to 44 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 795.0ms
ival-mult: 750.0ms (94.4% of total)
ival-add: 23.0ms (2.9% of total)
ival-sqrt: 9.0ms (1.1% of total)
ival-div: 6.0ms (0.8% of total)
ival-pow: 3.0ms (0.4% of total)
ival-sub: 2.0ms (0.3% of total)
exact: 1.0ms (0.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
-10.7MiB live, 35.3MiB allocated; 6ms collecting garbage
Counts
18 → 98
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 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))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/2 binary64))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.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)))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 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)))))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(* -5/2 (pow v 2))
(* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* 1/4 (* (pow 4 1/8) (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 4 1/8) (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 4 1/8) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 4 1/8) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))) (* (pow v 2) (+ (* 1/4 (* (pow 4 1/8) (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 4 1/8) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))))))))
(+ (* -3/8 (* (pow 4 1/8) (* (pow v 2) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* -3/8 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* -9/32 (* (pow 4 1/8) (* (pow v 2) (sqrt (sqrt 2))))))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* -3/8 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* -27/64 (* (pow 4 1/8) (* (pow v 2) (sqrt (sqrt 2))))) (* -9/32 (* (pow 4 1/8) (sqrt (sqrt 2)))))))))
(* 1/4 (sqrt (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt (sqrt 2)))) (* 1/4 (sqrt (sqrt 2))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* -3/8 (sqrt (sqrt 2))) (* -9/32 (* (pow v 2) (sqrt (sqrt 2)))))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* -3/8 (sqrt (sqrt 2))) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt (sqrt 2)))) (* -9/32 (sqrt (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) (* -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)))
(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)))
(* -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)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1/4 (* (pow 4 1/8) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* 1/4 (* (pow 4 1/8) (* (* v (sqrt -3)) (sqrt (sqrt 2)))))
(* v (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2)))))))
(* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))))))
(* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/64 (* (pow 4 1/8) (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2)))))))))
(* 1/4 (* (* v (sqrt -3)) (sqrt (sqrt 2))))
(* v (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2))))))
(* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2)))))))
(* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/64 (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2))))))))
(* 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))
(* 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 (* (pow 4 1/8) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))))
(* -1/4 (* (pow 4 1/8) (* (* v (sqrt -3)) (sqrt (sqrt 2)))))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2)))))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/64 (* (pow 4 1/8) (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))))))))
(* -1/4 (* (* v (sqrt -3)) (sqrt (sqrt 2))))
(* -1 (* v (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2))))))))
(* -1 (* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/64 (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2)))))))))
(* -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 (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
14.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (sqrt 2) (+ (* -5/8 (* v v)) 1/4) (* (+ (* (* (* v v) -5/2) (sqrt 2)) (sqrt 2)) 1/4) (+ (* (* (* v v) -5/2) (sqrt 2)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* v v) -5/2) (* (* (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (- 1 (* v v))) (* (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4)) (* (/ (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) (* v v) (sqrt (+ (* -3 (* v v)) 1)))
7.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (sqrt 2) (+ (* -5/8 (* v v)) 1/4) (* (+ (* (* (* v v) -5/2) (sqrt 2)) (sqrt 2)) 1/4) (+ (* (* (* v v) -5/2) (sqrt 2)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* v v) -5/2) (* (* (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (- 1 (* v v))) (* (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4)) (* (/ (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) (* v v) (sqrt (+ (* -3 (* v v)) 1)))
7.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* -5/8 (* v v)) 1/4)) (sqrt 2) (+ (* -5/8 (* v v)) 1/4) (* (+ (* (* (* v v) -5/2) (sqrt 2)) (sqrt 2)) 1/4) (+ (* (* (* v v) -5/2) (sqrt 2)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* v v) -5/2) (* (* (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (- 1 (* v v))) (* (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4))) (pow 4 1/8) (* (sqrt (sqrt 2)) (/ (sqrt (+ (* -3 (* v v)) 1)) 4)) (* (/ (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) (* v v) (sqrt (+ (* -3 (* v v)) 1)))

simplify173.0ms (2.8%)

Memory
42.6MiB live, 225.7MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03712772
113882503
268282460
084712333
Stop Event
1×iter limit
1×node limit
Counts
98 → 98
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)))))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(* -5/2 (pow v 2))
(* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* 1/4 (* (pow 4 1/8) (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 4 1/8) (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 4 1/8) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 4 1/8) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))) (* (pow v 2) (+ (* 1/4 (* (pow 4 1/8) (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 4 1/8) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))))))))
(+ (* -3/8 (* (pow 4 1/8) (* (pow v 2) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* -3/8 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* -9/32 (* (pow 4 1/8) (* (pow v 2) (sqrt (sqrt 2))))))))
(+ (* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* -3/8 (* (pow 4 1/8) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* -27/64 (* (pow 4 1/8) (* (pow v 2) (sqrt (sqrt 2))))) (* -9/32 (* (pow 4 1/8) (sqrt (sqrt 2)))))))))
(* 1/4 (sqrt (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt (sqrt 2)))) (* 1/4 (sqrt (sqrt 2))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* -3/8 (sqrt (sqrt 2))) (* -9/32 (* (pow v 2) (sqrt (sqrt 2)))))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* -3/8 (sqrt (sqrt 2))) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt (sqrt 2)))) (* -9/32 (sqrt (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) (* -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)))
(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)))
(* -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)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1/4 (* (pow 4 1/8) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* 1/4 (* (pow 4 1/8) (* (* v (sqrt -3)) (sqrt (sqrt 2)))))
(* v (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2)))))))
(* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))))))
(* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/64 (* (pow 4 1/8) (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2)))))))))
(* 1/4 (* (* v (sqrt -3)) (sqrt (sqrt 2))))
(* v (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2))))))
(* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2)))))))
(* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/64 (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2))))))))
(* 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))
(* 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 (* (pow 4 1/8) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 4 1/8) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 4 1/8) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))))
(* -1/4 (* (pow 4 1/8) (* (* v (sqrt -3)) (sqrt (sqrt 2)))))
(* -1 (* v (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2)))))))))
(* -1 (* v (+ (* -1/32 (* (pow 4 1/8) (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2))))) (+ (* 1/64 (* (pow 4 1/8) (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2))))) (+ (* 1/8 (* (pow 4 1/8) (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2))))) (* 1/4 (* (pow 4 1/8) (* (sqrt -3) (sqrt (sqrt 2))))))))))
(* -1/4 (* (* v (sqrt -3)) (sqrt (sqrt 2))))
(* -1 (* v (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2))))))))
(* -1 (* v (+ (* -1/32 (* (/ 1 (* (pow v 4) (pow (sqrt -3) 3))) (sqrt (sqrt 2)))) (+ (* 1/64 (* (/ 1 (* (pow v 6) (pow (sqrt -3) 5))) (sqrt (sqrt 2)))) (+ (* 1/8 (* (/ 1 (* (pow v 2) (sqrt -3))) (sqrt (sqrt 2)))) (* 1/4 (* (sqrt -3) (sqrt (sqrt 2)))))))))
(* -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 (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 #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)))))
(+ (* -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)
(sqrt.f64 #s(literal 2 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)))
(* -5/2 (pow v 2))
(*.f64 #s(literal -5/2 binary64) (*.f64 v v))
(* 1/4 (* (pow 4 1/8) (sqrt (sqrt 2))))
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(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (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 (neg.f64 v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (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 (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 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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) (fma.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (-.f64 (/.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 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))) (sqrt.f64 #s(literal -3 binary64)))))

rewrite179.0ms (2.9%)

Memory
-4.5MiB live, 232.1MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046244
072242
1230237
21503237
08401234
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 409
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 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))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/2 binary64))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.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)))) #s(literal 4 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) v)) v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) v)) v (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.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))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 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 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/64 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.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))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal -5/32 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal -5/32 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.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 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (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 (*.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 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal -5/32 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/16 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal -5/32 binary64)))))
(/.f64 (-.f64 (*.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)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/64 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 (*.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)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) v)) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.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))))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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 (*.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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)))
(-.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)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 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 (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 (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 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 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 (*.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 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/64 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 (*.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))))))))
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(/.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 (*.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 (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 (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) (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 (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))
(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)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (neg.f64 v))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v))) v)
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
(*.f64 (neg.f64 (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 #s(literal -3 binary64) (*.f64 v v)))) #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 #s(literal -3 binary64) (*.f64 v v))))) (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 #s(literal -3 binary64) (*.f64 v v)) #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 #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 (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 #s(literal -3 binary64) (*.f64 v v)) #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 #s(literal -3 binary64) (*.f64 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 (sin.f64 (acos.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)))) (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 #s(literal -3 binary64) (*.f64 v v)) #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 #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 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 v v))))))
(/.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 #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))))

eval94.0ms (1.5%)

Memory
-19.5MiB live, 168.8MiB allocated; 14ms collecting garbage
Compiler

Compiled 25 665 to 2 667 computations (89.6% saved)

prune11.0ms (0.2%)

Memory
38.7MiB live, 38.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6562658
Fresh000
Picked224
Done011
Total6585663
Accuracy
100.0%
Counts
663 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
✓100.0%
(*.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)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))))
✓98.9%
#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)))
Compiler

Compiled 132 to 100 computations (24.2% saved)

simplify110.0ms (1.8%)

Memory
-42.8MiB live, 147.8MiB allocated; 15ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff0
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
cost-diff1
(*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
cost-diff0
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff1
(fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff2
(*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034167
051166
190166
2243166
3799162
42583162
54821162
67897162
08026156
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))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
v
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 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)))
v
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) v)
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) v) v #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
#s(literal 16 binary64)
#s(literal 1/16 binary64)
(*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #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)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)

localize78.0ms (1.3%)

Memory
23.4MiB live, 119.6MiB allocated; 9ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.0078125
(*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
accuracy0.98046875
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.26171875
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.36989916853053195
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
Samples
61.0ms256×0valid
Compiler

Compiled 164 to 34 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 18.0ms (45.4% of total)
ival-div: 6.0ms (15.1% of total)
ival-sqrt: 5.0ms (12.6% of total)
ival-sub: 3.0ms (7.6% of total)
ival-pow: 3.0ms (7.6% of total)
ival-add: 2.0ms (5% of total)
exact: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
10 → 51
Calls
Call 1
Inputs
(*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 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))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (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)))))))))
(* -5/2 (* v (sqrt 2)))
(* 1/4 (sqrt (sqrt 2)))
(+ (* 1/4 (sqrt (sqrt 2))) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2)))))) (* 1/4 (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))))))
(* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 16 1/16) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 16 1/16) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))))))))
1
(+ 1 (* -1 (pow v 2)))
(+ (sqrt 2) (* -3 (* (pow v 2) (sqrt 2))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1/4 (* (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 (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* -1/4 (* (pow 16 1/16) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -3 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* 1/4 (* (pow 16 1/16) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
v
@inf
((* (+ (* v (* v (* -5/2 (sqrt 2)))) (sqrt 2)) 1/4) (+ (* v (* v (* -5/2 (sqrt 2)))) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* v (* -5/2 (sqrt 2))) (* (- 1 (* v v)) (/ (sqrt (* (+ (* -3 (* v v)) 1) (sqrt 2))) 4)) (* (pow 16 1/16) (* (- 1 (* v v)) (/ (sqrt (* (+ (* -3 (* v v)) 1) (sqrt 2))) 4))) (pow 16 1/16) (- 1 (* v v)) (sqrt 2) (* (+ (* -3 (* v v)) 1) (sqrt 2)))
3.0ms
v
@0
((* (+ (* v (* v (* -5/2 (sqrt 2)))) (sqrt 2)) 1/4) (+ (* v (* v (* -5/2 (sqrt 2)))) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* v (* -5/2 (sqrt 2))) (* (- 1 (* v v)) (/ (sqrt (* (+ (* -3 (* v v)) 1) (sqrt 2))) 4)) (* (pow 16 1/16) (* (- 1 (* v v)) (/ (sqrt (* (+ (* -3 (* v v)) 1) (sqrt 2))) 4))) (pow 16 1/16) (- 1 (* v v)) (sqrt 2) (* (+ (* -3 (* v v)) 1) (sqrt 2)))
2.0ms
v
@-inf
((* (+ (* v (* v (* -5/2 (sqrt 2)))) (sqrt 2)) 1/4) (+ (* v (* v (* -5/2 (sqrt 2)))) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* v (* -5/2 (sqrt 2))) (* (- 1 (* v v)) (/ (sqrt (* (+ (* -3 (* v v)) 1) (sqrt 2))) 4)) (* (pow 16 1/16) (* (- 1 (* v v)) (/ (sqrt (* (+ (* -3 (* v v)) 1) (sqrt 2))) 4))) (pow 16 1/16) (- 1 (* v v)) (sqrt 2) (* (+ (* -3 (* v v)) 1) (sqrt 2)))

simplify164.0ms (2.6%)

Memory
12.5MiB live, 195.5MiB allocated; 32ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02301693
18751442
246371422
081041354
Stop Event
1×iter limit
1×node limit
Counts
51 → 51
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (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)))))))))
(* -5/2 (* v (sqrt 2)))
(* 1/4 (sqrt (sqrt 2)))
(+ (* 1/4 (sqrt (sqrt 2))) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2)))))) (* 1/4 (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))))))
(* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 16 1/16) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 16 1/16) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))))))))
1
(+ 1 (* -1 (pow v 2)))
(+ (sqrt 2) (* -3 (* (pow v 2) (sqrt 2))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1/4 (* (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 (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* -1/4 (* (pow 16 1/16) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -3 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* 1/4 (* (pow 16 1/16) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 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)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) v) v #s(literal 1 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)))))))
(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 (*.f64 v v) #s(literal -5/8 binary64) #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)))))
(* -5/2 (* v (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/2 binary64))
(* 1/4 (sqrt (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt (sqrt 2))) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/32 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt (sqrt 2))) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2)))))) (* 1/4 (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/16 binary64) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2))))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2))))))))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 16 1/16) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))))))
(fma.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64)))) (*.f64 v v)))
(+ (* 1/4 (* (pow 16 1/16) (sqrt (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (+ (* -3/2 (sqrt (sqrt 2))) (* -1 (sqrt (sqrt 2)))))) (* (pow v 2) (+ (* 1/4 (* (pow 16 1/16) (* (pow v 2) (+ (* -27/16 (sqrt (sqrt 2))) (* 9/8 (sqrt (sqrt 2))))))) (* 1/4 (* (pow 16 1/16) (+ (* -9/8 (sqrt (sqrt 2))) (* 3/2 (sqrt (sqrt 2)))))))))))
(fma.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 v v) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/16 binary64) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (sqrt 2) (* -3 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 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 (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))
(* -5/2 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/2 binary64)) 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))
(* -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 (* (* (pow v 3) (sqrt -3)) (sqrt (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 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 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 (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) v) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) v) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) v) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) v) (+.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/8 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 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64))))))) (pow.f64 v #s(literal 3 binary64)))
(* -1/4 (* (pow 16 1/16) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) v)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) v)))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) v) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) v) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/8 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 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (pow v 2))
(*.f64 (neg.f64 v) v)
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) v)
(* -3 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -3 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (*.f64 v v))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* 1/4 (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 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 (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) v) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) v) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt (sqrt 2)))) (+ (* 1/4 (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) v) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) v) (+.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/8 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 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* 1/4 (* (pow 16 1/16) (* (* (pow v 3) (sqrt -3)) (sqrt (sqrt 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) v)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4))))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) v) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) v) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (pow 16 1/16) (* (sqrt -3) (sqrt (sqrt 2))))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2)))) (* (sqrt -3) (sqrt (sqrt 2)))) (pow v 2)))) (+ (* 1/4 (* (pow 16 1/16) (/ (+ (* -1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* -1/16 (* (/ 1 (pow (sqrt -3) 5)) (sqrt (sqrt 2))))) (pow v 6)))) (* 1/4 (* (pow 16 1/16) (/ (+ (* 1/8 (* (/ 1 (pow (sqrt -3) 3)) (sqrt (sqrt 2)))) (* 1/2 (* (/ 1 (sqrt -3)) (sqrt (sqrt 2))))) (pow v 4)))))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/8 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 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))) (pow.f64 v #s(literal 3 binary64)))

rewrite144.0ms (2.3%)

Memory
3.5MiB live, 192.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034119
051118
1157117
21029117
09621110
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 440
Calls
Call 1
Inputs
(*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 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))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
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(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)))
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(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) v) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 v) (*.f64 (*.f64 #s(literal 3 binary64) v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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 (sqrt.f64 #s(literal 2 binary64)) (pow.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))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)))
(fma.f64 v (*.f64 (*.f64 #s(literal -3 binary64) v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 v v))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.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))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 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 (sqrt.f64 #s(literal 2 binary64)) (pow.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))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 v v)))

eval90.0ms (1.5%)

Memory
-0.8MiB live, 162.7MiB allocated; 38ms collecting garbage
Compiler

Compiled 19 722 to 2 125 computations (89.2% saved)

prune25.0ms (0.4%)

Memory
0.6MiB live, 37.9MiB allocated; 13ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5250525
Fresh000
Picked022
Done033
Total5255530
Accuracy
100.0%
Counts
530 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
✓100.0%
(*.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)))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))))
✓98.9%
#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)))
Compiler

Compiled 409 to 183 computations (55.3% saved)

regimes9.0ms (0.1%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Counts
11 → 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))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 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 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 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 (/.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 (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 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (-.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)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Calls

3 calls:

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

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 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 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
Calls

3 calls:

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

Compiled 23 to 17 computations (26.1% saved)

regimes14.0ms (0.2%)

Memory
-32.7MiB live, 11.9MiB allocated; 12ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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:

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

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(*.f64 v v)
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)))
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)

simplify82.0ms (1.3%)

Memory
-15.2MiB live, 51.8MiB allocated; 32ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040110
171110
2186110
3527110
41418110
52600110
63586110
74954110
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.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)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 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 (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 #s(literal -6 binary64) (*.f64 v v) #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 v (*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 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 (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)))

derivations798.0ms (12.9%)

Memory
21.6MiB live, 831.7MiB allocated; 179ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
02356
17654
248754
3533854
0871849
0174948
1598915
22711843
08402807
03412417
112562262
259042207
080432095
046244
072242
1230237
21503237
08401234
038192
059202
1179184
21135176
09136172
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 110 to 43 computations (60.9% saved)

preprocess35.0ms (0.6%)

Memory
-13.1MiB live, 78.4MiB allocated; 14ms collecting garbage
Remove

(abs v)

Compiler

Compiled 308 to 152 computations (50.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...