Falkner and Boettcher, Appendix B, 2

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.2s (23.5%)

Memory
25.2MiB live, 1 964.2MiB allocated
Samples
801.0ms8 256×0valid
1.0ms9×0invalid
Precisions
Click to see histograms. Total time spent on operations: 628.0ms
ival-mult: 293.0ms (46.6% of total)
ival-sqrt: 162.0ms (25.8% of total)
ival-sub: 81.0ms (12.9% of total)
ival-div: 70.0ms (11.1% of total)
exact: 14.0ms (2.2% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain234.0ms (4.4%)

Memory
3.0MiB live, 341.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-#s(literal 4 binary64)
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
63.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 30.0ms (63.6% of total)
ival-sqrt: 7.0ms (14.8% of total)
ival-sub: 5.0ms (10.6% of total)
ival-div: 3.0ms (6.4% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess236.0ms (4.5%)

Memory
14.5MiB live, 151.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs v)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify145.0ms (2.7%)

Memory
-22.2MiB live, 119.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize66.0ms (1.3%)

Memory
7.3MiB live, 97.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
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)))))
accuracy0.140625
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
25.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.7% of total)
ival-sqrt: 3.0ms (22% of total)
ival-div: 2.0ms (14.7% of total)
ival-sub: 2.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
7 → 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))))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
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)))) (sqrt 2))
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)))) (sqrt 2))
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)))) (sqrt 2))

simplify316.0ms (6%)

Memory
-4.6MiB live, 365.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite125.0ms (2.4%)

Memory
20.3MiB live, 158.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
02358
17656
248756
3533856
0871851
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 265
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))))
(sqrt.f64 #s(literal 2 binary64))
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)))))
(*.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 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
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(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))))
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))

eval58.0ms (1.1%)

Memory
12.6MiB live, 111.2MiB allocated
Compiler

Compiled 8 532 to 1 270 computations (85.1% saved)

prune7.0ms (0.1%)

Memory
-23.1MiB live, 21.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3004304
Fresh000
Picked101
Done000
Total3014305
Accuracy
100.0%
Counts
305 → 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))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
▶100.0%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.7%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
▶99.2%
#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 94 to 70 computations (25.5% saved)

simplify192.0ms (3.6%)

Memory
18.2MiB live, 216.8MiB allocated
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))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
cost-diff2
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.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
(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
037249
058247
1111247
2323239
3986237
42940237
55364237
67350237
08440224
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 (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))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.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 (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))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))

localize93.0ms (1.7%)

Memory
-6.4MiB live, 181.5MiB allocated
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)
accuracy0.00390625
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.0078125
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
accuracy0.0
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.0
(*.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)))
accuracy0.0
(*.f64 v v)
accuracy0.00390625
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.179020621174261
#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))
accuracy0.4996387129094516
#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
72.0ms256×0valid
Compiler

Compiled 250 to 36 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 22.0ms (51.5% of total)
ival-div: 5.0ms (11.7% of total)
ival-sqrt: 5.0ms (11.7% of total)
ival-add: 3.0ms (7% of total)
ival-sub: 3.0ms (7% of total)
ival-pow: 3.0ms (7% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
13 → 56
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 (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 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(*.f64 v v)
Outputs
(* 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))))
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)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(pow v 2)
(* -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))))
(* -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))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
Calls

3 calls:

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

simplify190.0ms (3.6%)

Memory
-19.1MiB live, 203.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201452
18181389
239501271
081011204
Stop Event
1×iter limit
1×node limit
Counts
56 → 56
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))))
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)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(pow v 2)
(* -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))))
(* -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))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
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(* -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)))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))))) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))))))) (pow.f64 v #s(literal 5 binary64)))

rewrite203.0ms (3.8%)

Memory
31.3MiB live, 219.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037166
058159
1197157
21290153
08808153
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 572
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 (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 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(*.f64 v v)
Outputs
#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 (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 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 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))))) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))) (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (-.f64 (*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (-.f64 (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/2 binary64) v)) v (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/4 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 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/2 binary64) v)) v (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (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 -5/2 binary64)) (*.f64 v v)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 25/4 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 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (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 -125/8 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.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 (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 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v)))) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -4 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 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 6 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v)))) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #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 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 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 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (*.f64 v v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (neg.f64 v) v)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 v) v) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v)) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (neg.f64 v))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v))) v)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v (fabs.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64))))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))

eval196.0ms (3.7%)

Memory
-18.7MiB live, 195.3MiB allocated
Compiler

Compiled 26 772 to 2 589 computations (90.3% saved)

prune26.0ms (0.5%)

Memory
-15.5MiB live, 41.0MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New7023705
Fresh000
Picked314
Done000
Total7054709
Accuracy
100.0%
Counts
709 → 4
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)))
▶99.7%
#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))))
✓99.2%
#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)))
▶47.6%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Compiler

Compiled 125 to 91 computations (27.2% saved)

simplify126.0ms (2.4%)

Memory
9.5MiB live, 198.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 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
(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))))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
cost-diff0
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
cost-diff5
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043268
062273
1134273
2422255
31443255
43711235
57884235
08008230
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
#s(literal -5/8 binary64)
#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)
(*.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))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
#s(literal -5/8 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 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
#s(literal -5/8 binary64)
(*.f64 v v)
v
#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 (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #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)

localize82.0ms (1.6%)

Memory
-23.8MiB live, 254.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.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)))
accuracy0.0
(*.f64 v v)
accuracy0.0
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.00390625
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
accuracy0.179020621174261
#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))))
accuracy0.13509750976844204
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy0.179020621174261
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
accuracy0.19826127930532603
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
accuracy32.42566593782033
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
Samples
58.0ms256×0valid
Compiler

Compiled 192 to 40 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 20.0ms (48.9% of total)
ival-add: 6.0ms (14.7% of total)
ival-sqrt: 6.0ms (14.7% of total)
ival-div: 5.0ms (12.2% of total)
ival-sub: 2.0ms (4.9% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
14 → 52
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 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))))
(*.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 (/.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 #s(literal 1/4 binary64) (*.f64 v v))
(*.f64 v v)
Outputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
1/4
(+ 1/4 (* -5/8 (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)
(+ (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)))
(/ 1/4 (pow v 2))
(pow v 2)
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (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)))))))
(* -5/8 (sqrt 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))
(* 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))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
Calls

3 calls:

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

simplify237.0ms (4.5%)

Memory
16.1MiB live, 345.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01831138
16551081
231061013
08431959
Stop Event
1×iter limit
1×node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
1/4
(+ 1/4 (* -5/8 (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)
(+ (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)))
(/ 1/4 (pow v 2))
(pow v 2)
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (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)))))))
(* -5/8 (sqrt 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))
(* 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))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
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)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (*.f64 v v) #s(literal 3/8 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(* 1/4 (/ (sqrt 2) (pow v 2)))
(*.f64 (/.f64 #s(literal 1/4 binary64) v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) v))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ (* -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 (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))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/16 binary64) (*.f64 v v) #s(literal -9/8 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (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)))
(* -5/8 (sqrt 2))
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 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) (sqrt 2)))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v)
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v)
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* -6 (pow v 2))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* 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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.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) (sqrt 2))))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))

rewrite173.0ms (3.3%)

Memory
-22.9MiB live, 307.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043229
062229
1233227
21666227
08742219
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 255
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 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))))
(*.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 (/.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 #s(literal 1/4 binary64) (*.f64 v v))
(*.f64 v v)
Outputs
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v v)) #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v v)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v v)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v v)) (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v))) #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64)))) (fma.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v v) (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v v)) (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)))
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal 5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 #s(literal 5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -125/512 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -125/512 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))) (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (+.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))) (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 #s(literal -5/8 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 -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -125/512 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -125/512 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))) (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64)))))
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(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 (/.f64 #s(literal 1/4 binary64) (neg.f64 v))) (neg.f64 (neg.f64 v)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v))) (neg.f64 (neg.f64 v)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 v))) v)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v))) v)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) v)) v)
(/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 v)) (neg.f64 v))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 v) v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(sqrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(fabs.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.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 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #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))))

eval61.0ms (1.2%)

Memory
28.7MiB live, 164.6MiB allocated
Compiler

Compiled 17 650 to 1 750 computations (90.1% saved)

prune28.0ms (0.5%)

Memory
-14.5MiB live, 52.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4051406
Fresh000
Picked033
Done011
Total4055410
Accuracy
100.0%
Counts
410 → 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)))
✓99.7%
#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))))
✓99.2%
#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)))
▶47.7%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
✓47.6%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Compiler

Compiled 172 to 122 computations (29.1% saved)

simplify156.0ms (2.9%)

Memory
21.5MiB live, 249.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029115
037115
182115
2265115
3968111
42681111
57013111
08349107
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
#s(literal -5/8 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
#s(literal -5/8 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize55.0ms (1%)

Memory
-15.4MiB live, 126.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13509750976844204
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy0.179020621174261
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
accuracy0.2265625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
accuracy32.462443428051884
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
Samples
38.0ms256×0valid
Compiler

Compiled 74 to 27 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 12.0ms (40.5% of total)
ival-add: 6.0ms (20.2% of total)
ival-div: 4.0ms (13.5% of total)
ival-sqrt: 4.0ms (13.5% of total)
ival-sub: 2.0ms (6.7% of total)
exact: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
6 → 20
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
Outputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(/ 1/4 (pow v 2))
(/ (+ 1/4 (* -5/8 (pow v 2))) (pow v 2))
(* (pow v 2) (sqrt 2))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
-5/8
(- (* 1/4 (/ 1 (pow v 2))) 5/8)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (+ -5/8 (/ 1/4 (* v v))) (* (sqrt 2) (* v v))) (+ -5/8 (/ 1/4 (* v v))) (* (sqrt 2) (* v v)) (/ 1/4 (* v v)))
1.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (+ -5/8 (/ 1/4 (* v v))) (* (sqrt 2) (* v v))) (+ -5/8 (/ 1/4 (* v v))) (* (sqrt 2) (* v v)) (/ 1/4 (* v v)))
1.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (* (+ -5/8 (/ 1/4 (* v v))) (* (sqrt 2) (* v v))) (+ -5/8 (/ 1/4 (* v v))) (* (sqrt 2) (* v v)) (/ 1/4 (* v v)))

simplify177.0ms (3.3%)

Memory
22.3MiB live, 206.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107499
1363469
21688408
37574408
08019393
Stop Event
1×iter limit
1×node limit
Counts
20 → 20
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 (pow v 2))
(/ (+ 1/4 (* -5/8 (pow v 2))) (pow v 2))
(* (pow v 2) (sqrt 2))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
-5/8
(- (* 1/4 (/ 1 (pow v 2))) 5/8)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
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 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (*.f64 v v) #s(literal 3/8 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ (+ 1/4 (* -5/8 (pow v 2))) (pow v 2))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64))
(* (pow v 2) (sqrt 2))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) v)
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) #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))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
-5/8
#s(literal -5/8 binary64)
(- (* 1/4 (/ 1 (pow v 2))) 5/8)
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))

rewrite174.0ms (3.3%)

Memory
-41.4MiB live, 205.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029106
037106
1141105
2982105
09065101
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 129
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))))
#s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) v) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 v))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) (neg.f64 v)) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(*.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))) (-.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))) (neg.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))) (neg.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))))
(/.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64)) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -25/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64))) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -125/512 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (/.f64 #s(literal 25/64 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))))
(-.f64 (/.f64 #s(literal 25/64 binary64) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(+.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))))) (/.f64 #s(literal -125/512 binary64) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))))))
(+.f64 (/.f64 #s(literal -125/512 binary64) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))))) (/.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -5/32 binary64) (*.f64 v v))))))
(+.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))) (/.f64 #s(literal -125/512 binary64) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))))
(+.f64 (/.f64 #s(literal -125/512 binary64) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))) (/.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -5/32 binary64) (*.f64 v v)) #s(literal 25/64 binary64)))))
(+.f64 (/.f64 #s(literal 25/64 binary64) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 v v) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 v)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 v)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) v) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) v))
(*.f64 (*.f64 (neg.f64 v) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 v) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 v (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 v (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 v))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(neg.f64 (*.f64 (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64))) v))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 v) v)))
(neg.f64 (*.f64 v (*.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 (*.f64 (neg.f64 v) v) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 v) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 v) #s(literal 2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fabs.f64 (/.f64 #s(literal -1/4 binary64) v)) v)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) v)) v)
(/.f64 (/.f64 #s(literal -1/4 binary64) v) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 v) v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(sqrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(fabs.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))

eval18.0ms (0.3%)

Memory
5.4MiB live, 48.6MiB allocated
Compiler

Compiled 8 840 to 765 computations (91.3% saved)

prune8.0ms (0.1%)

Memory
32.3MiB live, 32.3MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1480148
Fresh000
Picked011
Done044
Total1485153
Accuracy
100.0%
Counts
153 → 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)))
✓99.7%
#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))))
✓99.2%
#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)))
✓47.7%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
✓47.6%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
Compiler

Compiled 433 to 200 computations (53.8% saved)

regimes31.0ms (0.6%)

Memory
-13.9MiB live, 32.3MiB allocated
Counts
9 → 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))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 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 (/.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 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
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:

25.0ms
(*.f64 v v)
3.0ms
v
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
100.0%1v
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%1(*.f64 v v)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes6.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -5/8 binary64))) (*.f64 v v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* (* (sqrt 2) (+ (* -5/2 (* v v)) 1)) 1/4) (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 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)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
Calls

3 calls:

2.0ms
v
2.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.7%1v
99.7%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.7%1(*.f64 v v)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
-51.0MiB live, 8.7MiB allocated
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:

3.0ms
(*.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
99.2%1v
99.2%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)))
99.2%1(*.f64 v v)
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify58.0ms (1.1%)

Memory
21.9MiB live, 65.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03478
16578
218078
352178
4140778
5259078
6357778
7494578
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 (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 (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)))

soundness520.0ms (9.8%)

Memory
-4.8MiB live, 459.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201452
18181389
239501271
081011204
0174948
1598915
22711843
08402807
01458
02358
17656
248756
3533856
0871851
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 110 to 66 computations (40% saved)

preprocess24.0ms (0.5%)

Memory
34.7MiB live, 34.6MiB allocated
Remove

(abs v)

Compiler

Compiled 244 to 140 computations (42.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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