Falkner and Boettcher, Appendix B, 2

Time bar (total: 11.9s)

analyze5.0ms (0%)

Memory
-31.8MiB live, 6.5MiB 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)

sample1.3s (11.2%)

Memory
-9.3MiB live, 1 375.4MiB allocated
Samples
858.0ms8 256×0valid
1.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 629.0ms
ival-mult: 247.0ms (39.3% of total)
ival-sqrt: 160.0ms (25.4% of total)
ival-sub: 135.0ms (21.5% of total)
ival-div: 61.0ms (9.7% of total)
exact: 15.0ms (2.4% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess683.0ms (5.7%)

Memory
20.8MiB live, 376.3MiB allocated
Algorithm
2×egg-herbie
Rules
7 438×accelerator-lowering-fma.f32
7 438×accelerator-lowering-fma.f64
3 206×*-lowering-*.f32
3 206×*-lowering-*.f64
1 088×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02358
17357
219157
361457
4167857
5298957
6401857
7434957
8440157
9446157
10455757
11526757
12605357
13716657
14751757
01419
13619
28819
321919
464619
5145819
6200319
7360119
8489519
9641419
10737819
0800317
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
Outputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
Call 2
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
Outputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (* (sqrt 2) 1/4) (* (sqrt (+ 1 (* v (* v -3)))) (- 1 (* v v))))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(* (* (sqrt 2) 1/4) (* (sqrt (+ 1 (* v (* v -3)))) (- 1 (* v v))))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
(* (* (sqrt 2) 1/4) (* (sqrt (+ 1 (* v (* v -3)))) (+ (* v v) -1)))
Symmetry

(abs v)

explain199.0ms (1.7%)

Memory
-21.6MiB live, 212.2MiB 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
74.0ms512×0valid
Compiler

Compiled 186 to 60 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 20.0ms (53.4% of total)
ival-sqrt: 7.0ms (18.7% of total)
ival-sub: 5.0ms (13.4% of total)
ival-div: 4.0ms (10.7% of total)
ival-true: 1.0ms (2.7% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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 20 to 14 computations (30% saved)

simplify285.0ms (2.4%)

Memory
10.0MiB live, 331.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓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-diff0
(*.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)))
Rules
7 438×accelerator-lowering-fma.f32
7 438×accelerator-lowering-fma.f64
3 206×*-lowering-*.f32
3 206×*-lowering-*.f64
1 088×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
13671
28871
321971
464671
5145871
6200371
7360171
8489571
9641471
10737871
0800366
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(- 1 (* v v))
Outputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* 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)))))
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(- 1 (* 3 (* v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize102.0ms (0.9%)

Memory
5.8MiB live, 47.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
✓accuracy100.0%
(*.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)))))
✓accuracy100.0%
(*.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)))
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
23.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (41.5% of total)
ival-sqrt: 4.0ms (27.6% of total)
ival-div: 2.0ms (13.8% of total)
ival-sub: 2.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
6 → 48
Calls
Call 1
Inputs
#<alt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))>
#<alt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))>
#<alt (/ (sqrt 2) 4)>
#<alt (sqrt 2)>
#<alt (* 3 (* v v))>
#<alt (sqrt (- 1 (* 3 (* v v))))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (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))))))>
#<alt (* (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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 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)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* v (sqrt -3))>
#<alt (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))>
#<alt (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))>
#<alt (* 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))))))>
#<alt (* -1 (* v (sqrt -3)))>
#<alt (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -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

12 calls:

TimeVariablePointExpression
1.0ms
v
@inf
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@0
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@inf
(* 3 (* v v))
0.0ms
v
@inf
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0ms
v
@inf
(sqrt (- 1 (* 3 (* v v))))

rewrite768.0ms (6.5%)

Memory
3.0MiB live, 588.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 304×accelerator-lowering-fma.f32
4 304×accelerator-lowering-fma.f64
4 064×*-lowering-*.f32
4 064×*-lowering-*.f64
2 112×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
17149
248349
3484349
0849345
Stop Event
1×iter limit
1×node limit
Counts
6 → 337
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(sqrt 2)
(* 3 (* v v))
(sqrt (- 1 (* 3 (* v v))))
Outputs
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64)))))
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(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.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 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v))))
(exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 v (*.f64 #s(literal 3 binary64) v))
(*.f64 v (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) v))))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 (*.f64 v v) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) v) v)
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) v))) v)
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 v v))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) (*.f64 (log1p.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 v (*.f64 #s(literal 3 binary64) v))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))) #s(literal 1/4 binary64)))

simplify616.0ms (5.2%)

Memory
15.6MiB live, 1 047.0MiB allocated
Algorithm
1×egg-herbie
Rules
21 438×accelerator-lowering-fma.f32
21 438×accelerator-lowering-fma.f64
5 740×*-lowering-*.f32
5 740×*-lowering-*.f64
3 206×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169984
1529955
22000898
35815889
08181843
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 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 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 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)))))))
(* -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))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* 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 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 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) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 v v) #s(literal 3/8 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)))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/16 binary64)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #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)))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) v))))
(* (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 v v) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) v)) (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))))))))
(* (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 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #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 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))))
(* -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 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #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))) (*.f64 v v)) (/.f64 #s(literal 11/24 binary64) (*.f64 v v)))))))
(* -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 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/32 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)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -9/32 binary64) (*.f64 (*.f64 v v) #s(literal -27/64 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))))
(* 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 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v 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 (*.f64 v (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v)))))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v))))))
(* -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 (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3/2 binary64))))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
(* v (sqrt -3))
(*.f64 v (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(+.f64 (*.f64 v (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) v)) (sqrt.f64 #s(literal -3 binary64))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) v)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) 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 v (+.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))
(* -1 (* v (sqrt -3)))
(*.f64 v (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* -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 v (-.f64 (/.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))))

eval46.0ms (0.4%)

Memory
-1.3MiB live, 116.5MiB allocated
Compiler

Compiled 11 123 to 1 213 computations (89.1% saved)

prune50.0ms (0.4%)

Memory
-8.6MiB live, 149.4MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3778385
Fresh000
Picked011
Done000
Total3779386
Accuracy
100.0%
Counts
386 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64))))
98.9%
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
▶99.6%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.3%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓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)))
▶98.5%
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.9%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
98.4%
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.4%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 308 to 218 computations (29.2% saved)

simplify901.0ms (7.6%)

Memory
-123.2MiB live, 1 227.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓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)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Rules
23 706×accelerator-lowering-fma.f32
23 706×accelerator-lowering-fma.f64
4 324×+-lowering-+.f64
4 324×+-lowering-+.f32
4 250×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042385
1136385
2487385
31828385
43483385
57659385
08028352
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))
1
(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
(* v v)
v
(+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))
-3/2
(* (* v v) (+ -9/8 (* (* v v) -27/16)))
(+ -9/8 (* (* v v) -27/16))
-9/8
(* (* v v) -27/16)
-27/16
(- 1 (* v v))
(* 1/4 (sqrt 2))
1/4
(sqrt 2)
2
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(sqrt 2)
2
(+ 1/4 (* (* v v) -3/8))
1/4
(* (* v v) -3/8)
(* v v)
v
-3/8
(- 1 (* v v))
1
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8))))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))
1
(* (* v v) (+ -3/2 (* v (* v -9/8))))
(* v v)
v
(+ -3/2 (* v (* v -9/8)))
-3/2
(* v (* v -9/8))
(* v -9/8)
-9/8
(- 1 (* v v))
(* (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v)))))
(/ 1/4 (pow 2 -1/2))
1/4
(pow 2 -1/2)
2
-1/2
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(- 1 (* v v))
Outputs
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))) (- 1 (* v v)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) #s(literal 4 binary64))
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
1
#s(literal 1 binary64)
(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))
(* v v)
(*.f64 v v)
v
(+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))
-3/2
#s(literal -3/2 binary64)
(* (* v v) (+ -9/8 (* (* v v) -27/16)))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(+ -9/8 (* (* v v) -27/16))
(+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))
-9/8
#s(literal -9/8 binary64)
(* (* v v) -27/16)
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
-27/16
#s(literal -27/16 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* 1/4 (sqrt 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
1/4
#s(literal 1/4 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* (* v v) -3/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* v v) -3/8)
(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(* v v)
(*.f64 v v)
v
-3/8
#s(literal -3/8 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))))))) #s(literal 4 binary64)))
(* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))))))) #s(literal 4 binary64))
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))))))
1
#s(literal 1 binary64)
(* (* v v) (+ -3/2 (* v (* v -9/8))))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(* v v)
(*.f64 v v)
v
(+ -3/2 (* v (* v -9/8)))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))
-3/2
#s(literal -3/2 binary64)
(* v (* v -9/8))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* v -9/8)
(*.f64 v #s(literal -9/8 binary64))
-9/8
#s(literal -9/8 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/ 1/4 (pow 2 -1/2))
(/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
1/4
#s(literal 1/4 binary64)
(pow 2 -1/2)
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(- 1 (* 3 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize171.0ms (1.4%)

Memory
31.2MiB live, 390.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
✓accuracy98.4%
(/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -9/8 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))
Samples
88.0ms256×0valid
Compiler

Compiled 387 to 44 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 28.0ms (45.1% of total)
ival-div: 15.0ms (24.2% of total)
ival-add: 7.0ms (11.3% of total)
ival-sqrt: 4.0ms (6.4% of total)
ival-pow: 4.0ms (6.4% of total)
ival-sub: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-8.7MiB live, 30.1MiB allocated
Counts
21 → 192
Calls
Call 1
Inputs
#<alt (* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))) (- 1 (* v v)))>
#<alt (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))))>
#<alt (/ (sqrt 2) 4)>
#<alt (sqrt 2)>
#<alt (* 1/4 (sqrt 2))>
#<alt (* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))>
#<alt (+ 1/4 (* (* v v) -3/8))>
#<alt (* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))) (- 1 (* v v)))>
#<alt (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8))))))>
#<alt (* (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))>
#<alt (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v)))))>
#<alt (/ 1/4 (pow 2 -1/2))>
#<alt (pow 2 -1/2)>
#<alt (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))>
#<alt (* (* v v) (+ -9/8 (* (* v v) -27/16)))>
#<alt (* (* v v) -27/16)>
#<alt (* (* v v) -3/8)>
#<alt (* (* v v) (+ -3/2 (* v (* v -9/8))))>
#<alt (* v (* v -9/8))>
#<alt (* 3 (* v v))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* 27/64 (* (pow v 8) (sqrt 2)))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))>
#<alt (* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))>
#<alt (* 27/64 (* (pow v 8) (sqrt 2)))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))>
#<alt (* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 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)))))))>
#<alt (* -27/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -27/64 (sqrt 2)) (* -9/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (* -9/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -27/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -27/64 (sqrt 2)) (* -9/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (* -9/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* 3/32 (sqrt 2)) (* 9/32 (* (pow v 2) (sqrt 2))))))))>
#<alt (* 9/32 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 9/32 (sqrt 2))))))>
#<alt (* 9/32 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 9/32 (sqrt 2))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (* -9/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (* -9/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* -9/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (* -9/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (/ 1/4 (sqrt 1/2))>
#<alt (+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* (pow v 2) (- (* 3/32 (/ (pow v 2) (sqrt 1/2))) (* 5/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (+ (* -9/64 (/ (pow v 2) (sqrt 1/2))) (* 3/32 (/ 1 (sqrt 1/2))))) (* 5/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (* -1/4 (/ (* (pow v 3) (sqrt -3)) (sqrt 1/2)))>
#<alt (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2)))) (* 1/16 (/ 1 (* (pow (sqrt -3) 5) (sqrt 1/2))))) (pow v 6))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2)))))))>
#<alt (* 1/4 (/ (* (pow v 3) (sqrt -3)) (sqrt 1/2)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2)))) (* 1/16 (/ 1 (* (pow (sqrt -3) 5) (sqrt 1/2))))) (pow v 6))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2))))))))>
#<alt (/ 1/4 (sqrt 1/2))>
#<alt (+ (* -3/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* (pow v 2) (- (* -9/32 (/ (pow v 2) (sqrt 1/2))) (* 3/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -27/64 (/ (pow v 2) (sqrt 1/2))) (* 9/32 (/ 1 (sqrt 1/2))))) (* 3/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (* 1/4 (/ (* v (sqrt -3)) (sqrt 1/2)))>
#<alt (* v (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))))))>
#<alt (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))) (/ 1/32 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2))))))>
#<alt (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))) (* 1/64 (/ 1 (* (pow v 6) (* (pow (sqrt -3) 5) (sqrt 1/2))))))) (* 1/32 (/ 1 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2)))))))>
#<alt (* -1/4 (/ (* v (sqrt -3)) (sqrt 1/2)))>
#<alt (* -1 (* v (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))) (/ 1/32 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))) (* 1/64 (/ 1 (* (pow v 6) (* (pow (sqrt -3) 5) (sqrt 1/2))))))) (* 1/32 (/ 1 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2))))))))>
#<alt (* -3/2 (pow v 2))>
#<alt (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* -9/8 (pow v 2))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* -27/16 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -27/16 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))>
#<alt (* -9/8 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))>
#<alt (* -9/8 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
Calls

48 calls:

TimeVariablePointExpression
19.0ms
v
@0
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))) (- 1 (* v v)))
1.0ms
v
@inf
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
1.0ms
v
@0
(* (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@inf
(* (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@inf
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))) (- 1 (* v v)))

rewrite477.0ms (4%)

Memory
-17.6MiB live, 907.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 410×*-lowering-*.f32
4 410×*-lowering-*.f64
3 998×accelerator-lowering-fma.f32
3 998×accelerator-lowering-fma.f64
3 708×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042239
1255237
22378231
08203212
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 042
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))))
(/ (sqrt 2) 4)
(sqrt 2)
(* 1/4 (sqrt 2))
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(+ 1/4 (* (* v v) -3/8))
(* (* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8)))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (+ 1 (* (* v v) (+ -3/2 (* v (* v -9/8))))))
(* (* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ 1/4 (pow 2 -1/2)) (sqrt (- 1 (* 3 (* v v)))))
(/ 1/4 (pow 2 -1/2))
(pow 2 -1/2)
(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
(* (* v v) (+ -9/8 (* (* v v) -27/16)))
(* (* v v) -27/16)
(* (* v v) -3/8)
(* (* v v) (+ -3/2 (* v (* v -9/8))))
(* v (* v -9/8))
(* 3 (* v v))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (/.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (/.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
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(/.f64 (*.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 81/64 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3/2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))))))
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(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))))
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(*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))) v)
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(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))) (*.f64 v v))
(*.f64 v (*.f64 v #s(literal -9/8 binary64)))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(*.f64 #s(literal -9/8 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -9/8 binary64)) v)
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal 3 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v)

simplify553.0ms (4.7%)

Memory
23.3MiB live, 1 168.1MiB allocated
Algorithm
1×egg-herbie
Rules
17 150×accelerator-lowering-fma.f32
17 150×accelerator-lowering-fma.f64
6 380×*-lowering-*.f32
6 380×*-lowering-*.f64
3 270×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02742773
18452715
226752558
361372544
082102448
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* 27/64 (* (pow v 8) (sqrt 2)))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))
(* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))
(* 27/64 (* (pow v 8) (sqrt 2)))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))
(* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* -27/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (* -9/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (* -9/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* -27/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (* -9/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (* -9/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* 3/32 (sqrt 2)) (* 9/32 (* (pow v 2) (sqrt 2))))))))
(* 9/32 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 9/32 (sqrt 2))))))
(* 9/32 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 9/32 (sqrt 2))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(* -9/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (* -9/32 (sqrt 2))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* -9/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (* -9/32 (sqrt 2))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(/ 1/4 (sqrt 1/2))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* (pow v 2) (- (* 3/32 (/ (pow v 2) (sqrt 1/2))) (* 5/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -9/64 (/ (pow v 2) (sqrt 1/2))) (* 3/32 (/ 1 (sqrt 1/2))))) (* 5/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))
(* -1/4 (/ (* (pow v 3) (sqrt -3)) (sqrt 1/2)))
(* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2)))) (* 1/16 (/ 1 (* (pow (sqrt -3) 5) (sqrt 1/2))))) (pow v 6))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2)))))))
(* 1/4 (/ (* (pow v 3) (sqrt -3)) (sqrt 1/2)))
(* -1 (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2)))) (* 1/16 (/ 1 (* (pow (sqrt -3) 5) (sqrt 1/2))))) (pow v 6))) (+ (* 1/4 (/ (+ (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2)))) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (sqrt 1/2))))) (pow v 4))) (* 1/4 (/ (- (/ (sqrt -3) (sqrt 1/2)) (* 1/2 (/ 1 (* (sqrt -3) (sqrt 1/2))))) (pow v 2))))))))
(/ 1/4 (sqrt 1/2))
(+ (* -3/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* (pow v 2) (- (* -9/32 (/ (pow v 2) (sqrt 1/2))) (* 3/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -27/64 (/ (pow v 2) (sqrt 1/2))) (* 9/32 (/ 1 (sqrt 1/2))))) (* 3/8 (/ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (sqrt 1/2))))
(* 1/4 (/ (* v (sqrt -3)) (sqrt 1/2)))
(* v (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))))))
(* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))) (/ 1/32 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2))))))
(* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))) (* 1/64 (/ 1 (* (pow v 6) (* (pow (sqrt -3) 5) (sqrt 1/2))))))) (* 1/32 (/ 1 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2)))))))
(* -1/4 (/ (* v (sqrt -3)) (sqrt 1/2)))
(* -1 (* v (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))))))
(* -1 (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))) (/ 1/32 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2)))))))
(* -1 (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))) (* 1/64 (/ 1 (* (pow v 6) (* (pow (sqrt -3) 5) (sqrt 1/2))))))) (* 1/32 (/ 1 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2))))))))
(* -3/2 (pow v 2))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* -9/8 (pow v 2))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* -27/16 (pow v 4))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -27/16 (pow v 4))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/2 (pow v 2))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(* -9/8 (pow v 4))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(* -9/8 (pow v 4))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* -9/8 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 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)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* 27/64 (* (pow v 8) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 27/64 binary64) (pow.f64 v #s(literal 8 binary64))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))
(*.f64 (pow.f64 v #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 27/64 binary64))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))
(*.f64 (pow.f64 v #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))
(*.f64 (pow.f64 v #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 6 binary64))))))))
(* 27/64 (* (pow v 8) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 27/64 binary64) (pow.f64 v #s(literal 8 binary64))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))
(*.f64 (pow.f64 v #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 27/64 binary64))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))
(*.f64 (pow.f64 v #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))
(*.f64 (pow.f64 v #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 6 binary64))))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/32 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)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -9/32 binary64) (*.f64 (*.f64 v v) #s(literal -27/64 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))))
(* -27/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -27/64 binary64)))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (* -9/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -9/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (* -9/32 (/ (sqrt 2) (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -9/32 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -9/32 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* -27/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -27/64 binary64)))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (* -9/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -9/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (* -9/32 (/ (sqrt 2) (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -9/32 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))
(* (pow v 6) (+ (* -27/64 (sqrt 2)) (+ (* -3/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -9/32 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* 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)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/8 binary64)))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 3/8 binary64))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 3/8 binary64))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -3/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
(+ 1/4 (* -3/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
(+ 1/4 (* -3/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* 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)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* 3/32 (sqrt 2)) (* 9/32 (* (pow v 2) (sqrt 2))))))))
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(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2))))) (/ 1/32 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2)))))))
(*.f64 v (+.f64 (/.f64 (/.f64 #s(literal -1/96 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* -1 (* v (- (+ (* 1/4 (/ (sqrt -3) (sqrt 1/2))) (+ (/ 1/8 (* (pow v 2) (* (sqrt -3) (sqrt 1/2)))) (* 1/64 (/ 1 (* (pow v 6) (* (pow (sqrt -3) 5) (sqrt 1/2))))))) (* 1/32 (/ 1 (* (pow v 4) (* (pow (sqrt -3) 3) (sqrt 1/2))))))))
(*.f64 v (-.f64 (/.f64 (/.f64 #s(literal -1/96 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))))
(* -3/2 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/2 binary64))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
(* -27/16 (pow v 6))
(*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -27/16 binary64))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))) (*.f64 v v))))
(* -27/16 (pow v 6))
(*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -27/16 binary64))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))) (*.f64 v v))))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(* -27/16 (pow v 4))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -27/16 binary64))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* -27/16 (pow v 4))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -27/16 binary64))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v))))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/2 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/2 binary64))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(* -9/8 (pow v 4))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -9/8 binary64))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(* -9/8 (pow v 4))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -9/8 binary64))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(* -1 (* (pow v 4) (+ 9/8 (* 3/2 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))

eval189.0ms (1.6%)

Memory
7.4MiB live, 548.0MiB allocated
Compiler

Compiled 46 991 to 4 256 computations (90.9% saved)

prune144.0ms (1.2%)

Memory
40.7MiB live, 517.0MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1 32451 329
Fresh303
Picked415
Done101
Total1 33261 338
Accuracy
100.0%
Counts
1 338 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.1%
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))
▶96.9%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
▶100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
▶98.9%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
✓98.4%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 197 to 135 computations (31.5% saved)

simplify461.0ms (3.9%)

Memory
-28.4MiB live, 985.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))
✓cost-diff128
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓cost-diff0
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
Rules
14 678×accelerator-lowering-fma.f32
14 678×accelerator-lowering-fma.f64
4 144×*-lowering-*.f32
4 144×*-lowering-*.f64
3 104×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044423
1123397
2311397
3842397
42419397
55114397
08186358
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 1 (* v v)) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(- 1 (* v v))
1
(* v v)
v
(* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
1/4
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
(* (* v v) -3)
-3
(/ 1/4 (sqrt 1/2))
1/4
(sqrt 1/2)
1/2
(* (sqrt 2) (+ 1/4 (* -5/8 (* v v))))
(sqrt 2)
2
(+ 1/4 (* -5/8 (* v v)))
1/4
(* -5/8 (* v v))
-5/8
(* v v)
v
(/ (* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))) (+ 1 (* v v)))
(* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(- 1 (* v (* v (* v v))))
1
(* v (* v (* v v)))
v
(* v (* v v))
(* v v)
(* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
1/4
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
(* (* v v) -3)
-3
(+ 1 (* v v))
(/ (* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))) (pow 4 3/4))
(* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v))))
1
(* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))
(+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))))
(* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))
v
(* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))
(+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))
-3/2
(* v (* v (+ -9/8 (* (* v v) -27/16))))
(* v (+ -9/8 (* (* v v) -27/16)))
(+ -9/8 (* (* v v) -27/16))
-9/8
(* (* v v) -27/16)
(* v v)
-27/16
(- 1 (* v v))
(pow 4 3/4)
4
3/4
Outputs
(* (- 1 (* v v)) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -1/4 binary64)))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
1/4
#s(literal 1/4 binary64)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(/ 1/4 (sqrt 1/2))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
1/4
#s(literal 1/4 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (sqrt 2) (+ 1/4 (* -5/8 (* v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* -5/8 (* v v)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
1/4
#s(literal 1/4 binary64)
(* -5/8 (* v v))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
-5/8
#s(literal -5/8 binary64)
(* v v)
(*.f64 v v)
v
(/ (* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))) (+ 1 (* v v)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(- 1 (* v (* v (* v v))))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(* v (* v (* v v)))
(*.f64 v (*.f64 v (*.f64 v v)))
v
(* v (* v v))
(*.f64 v (*.f64 v v))
(* v v)
(*.f64 v v)
(* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
1/4
#s(literal 1/4 binary64)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(+ 1 (* v v))
(+.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))) (pow 4 3/4))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))
(* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))))
1
#s(literal 1 binary64)
(* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))))
(+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))
(* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))
(*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
v
(* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))
(*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
(+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))
(+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))
-3/2
#s(literal -3/2 binary64)
(* v (* v (+ -9/8 (* (* v v) -27/16))))
(*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))
(* v (+ -9/8 (* (* v v) -27/16)))
(*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(+ -9/8 (* (* v v) -27/16))
(+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))
-9/8
#s(literal -9/8 binary64)
(* (* v v) -27/16)
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* v v)
(*.f64 v v)
-27/16
#s(literal -27/16 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(pow 4 3/4)
(pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))
4
#s(literal 4 binary64)
3/4
#s(literal 3/4 binary64)

localize202.0ms (1.7%)

Memory
-18.9MiB live, 471.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
✓accuracy99.8%
(*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
✓accuracy98.5%
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.9%
(*.f64 v (*.f64 v (*.f64 v v)))
✓accuracy99.9%
(*.f64 v (*.f64 v v))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
✓accuracy99.8%
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy98.4%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
Samples
62.0ms203×0valid
43.0ms24×3valid
14.0ms18×2valid
6.0ms11×1valid
Compiler

Compiled 439 to 46 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 33.0ms (36.2% of total)
ival-pow: 26.0ms (28.5% of total)
ival-add: 10.0ms (11% of total)
ival-div: 6.0ms (6.6% of total)
ival-sqrt: 6.0ms (6.6% of total)
adjust: 5.0ms (5.5% of total)
ival-sub: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-2.3MiB live, 35.4MiB allocated
Counts
25 → 264
Calls
Call 1
Inputs
#<alt (* 2 (+ 1 (* (* v v) -3)))>
#<alt (* (- 1 (* v v)) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))>
#<alt (- 1 (* v v))>
#<alt (* v v)>
#<alt (/ 1/4 (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (* (sqrt 2) (+ 1/4 (* -5/8 (* v v))))>
#<alt (sqrt 2)>
#<alt (+ 1/4 (* -5/8 (* v v)))>
#<alt (* -5/8 (* v v))>
#<alt (/ (* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))) (+ 1 (* v v)))>
#<alt (* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))>
#<alt (- 1 (* v (* v (* v v))))>
#<alt (* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v))))>
#<alt (/ (* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))) (pow 4 3/4))>
#<alt (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))>
#<alt (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))))>
#<alt (* (* v v) -3)>
#<alt (sqrt (* 2 (+ 1 (* (* v v) -3))))>
#<alt (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))>
#<alt (* v (* v v))>
#<alt (* v (* v (* v v)))>
#<alt (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))>
#<alt (* (* v v) -27/16)>
#<alt (* v (* v (+ -9/8 (* (* v v) -27/16))))>
Outputs
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (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))))))>
#<alt (* (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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (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))))))>
#<alt (* (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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 5) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4))))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/4 (/ (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 5) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/4 (/ (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))>
#<alt (* 27/16 (pow v 8))>
#<alt (* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))>
#<alt (* 27/16 (pow v 8))>
#<alt (* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))>
#<alt (pow 1/64 1/4)>
#<alt (+ (* -5/2 (* (pow 1/64 1/4) (pow v 2))) (pow 1/64 1/4))>
#<alt (+ (* (pow v 2) (+ (* -5/2 (pow 1/64 1/4)) (* 3/8 (* (pow 1/64 1/4) (pow v 2))))) (pow 1/64 1/4))>
#<alt (+ (* (pow v 2) (+ (* -5/2 (pow 1/64 1/4)) (* (pow v 2) (+ (* -9/16 (* (pow 1/64 1/4) (pow v 2))) (* 3/8 (pow 1/64 1/4)))))) (pow 1/64 1/4))>
#<alt (* 27/16 (* (pow 1/64 1/4) (pow v 8)))>
#<alt (* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (* 27/16 (pow 1/64 1/4))))>
#<alt (* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4)))))>
#<alt (* (pow v 8) (+ (* -5/2 (* (pow 1/64 1/4) (/ 1 (pow v 6)))) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4))))))>
#<alt (* 27/16 (* (pow 1/64 1/4) (pow v 8)))>
#<alt (* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (* 27/16 (pow 1/64 1/4))))>
#<alt (* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4)))))>
#<alt (* (pow v 8) (+ (* -5/2 (* (pow 1/64 1/4) (/ 1 (pow v 6)))) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4))))))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))>
#<alt (* 27/16 (pow v 8))>
#<alt (* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))>
#<alt (* 27/16 (pow v 8))>
#<alt (* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))>
#<alt (* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))>
#<alt (* v (* (sqrt -3) (sqrt 2)))>
#<alt (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 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)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (* -3/2 v)>
#<alt (* v (- (* -9/8 (pow v 2)) 3/2))>
#<alt (* v (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))>
#<alt (* v (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))>
#<alt (* -27/16 (pow v 5))>
#<alt (* -1 (* (pow v 5) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 5) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 5) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* -27/16 (pow v 5))>
#<alt (* -1 (* (pow v 5) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))>
#<alt (* -1 (* (pow v 5) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* -27/16 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -27/16 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
Calls

66 calls:

TimeVariablePointExpression
5.0ms
v
@0
(* v (* v v))
2.0ms
v
@0
(* 2 (+ 1 (* (* v v) -3)))
1.0ms
v
@0
(/ (* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))) (pow 4 3/4))
1.0ms
v
@inf
(* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
0.0ms
v
@inf
(/ (* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))) (+ 1 (* v v)))

rewrite574.0ms (4.8%)

Memory
8.1MiB live, 1 032.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 584×/-lowering-/.f32
4 584×/-lowering-/.f64
4 344×*-lowering-*.f32
4 344×*-lowering-*.f64
4 086×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044274
1249256
21845256
08139233
Stop Event
1×iter limit
1×node limit
Counts
25 → 1 027
Calls
Call 1
Inputs
(* 2 (+ 1 (* (* v v) -3)))
(* (- 1 (* v v)) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(- 1 (* v v))
(* v v)
(/ 1/4 (sqrt 1/2))
(sqrt 1/2)
(* (sqrt 2) (+ 1/4 (* -5/8 (* v v))))
(sqrt 2)
(+ 1/4 (* -5/8 (* v v)))
(* -5/8 (* v v))
(/ (* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))) (+ 1 (* v v)))
(* (- 1 (* v (* v (* v v)))) (* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(- 1 (* v (* v (* v v))))
(* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v))))
(/ (* 1 (* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))) (pow 4 3/4))
(* (+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16)))))))) (- 1 (* v v)))
(+ 1 (* v (* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))))
(* (* v v) -3)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 1/4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(* v (* v v))
(* v (* v (* v v)))
(* v (+ -3/2 (* v (* v (+ -9/8 (* (* v v) -27/16))))))
(* (* v v) -27/16)
(* v (* v (+ -9/8 (* (* v v) -27/16))))
Outputs
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 v (*.f64 (*.f64 v #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) v) (*.f64 v #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))) #s(literal 2 binary64))))
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(*.f64 (*.f64 (+.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (*.f64 (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))) #s(literal 3/2 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))) v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))
(*.f64 v (*.f64 v #s(literal -27/16 binary64)))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(*.f64 #s(literal -27/16 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -27/16 binary64)) v)
(+.f64 (*.f64 v (*.f64 v #s(literal -9/8 binary64))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64))))
(+.f64 (*.f64 (*.f64 v v) #s(literal -9/8 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -9/8 binary64)) v) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)) v))
(+.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)) (*.f64 #s(literal -9/8 binary64) (*.f64 v v)))
(fma.f64 v (*.f64 v #s(literal -9/8 binary64)) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64))))
(fma.f64 (*.f64 v v) #s(literal -9/8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))
(fma.f64 #s(literal -9/8 binary64) (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v) (*.f64 #s(literal -9/8 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v #s(literal -9/8 binary64)) v (*.f64 (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) #s(literal 9/8 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal -729/512 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -19683/4096 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (*.f64 #s(literal 27/16 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (-.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 729/256 binary64))))))
(/.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))
(/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -729/512 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -19683/4096 binary64))))) (+.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) #s(literal 9/8 binary64)))))
(/.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 729/256 binary64)))) (+.f64 #s(literal -9/8 binary64) (*.f64 #s(literal 27/16 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -729/512 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -19683/4096 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) #s(literal 9/8 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 729/256 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -9/8 binary64) (*.f64 #s(literal 27/16 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 v #s(literal -9/8 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -9/8 binary64))) (*.f64 v (*.f64 v #s(literal -9/8 binary64)))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)))) (*.f64 (*.f64 v (*.f64 v #s(literal -9/8 binary64))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -9/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -9/8 binary64)) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))) (*.f64 (*.f64 (*.f64 v v) #s(literal -9/8 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) #s(literal -9/8 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -9/8 binary64)) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v #s(literal -9/8 binary64)) v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)) v) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v #s(literal -9/8 binary64)) v) (*.f64 (*.f64 v #s(literal -9/8 binary64)) v)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)) v) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)) v)) (*.f64 (*.f64 (*.f64 v #s(literal -9/8 binary64)) v) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27/16 binary64)) v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) (*.f64 #s(literal -9/8 binary64) (*.f64 v v))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v))) (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v))) (-.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) (*.f64 #s(literal -9/8 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (*.f64 v v)) (*.f64 #s(literal -9/8 binary64) (*.f64 v v))))))
(*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(*.f64 (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))) (*.f64 v v))
(*.f64 (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))) v)
(*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -729/512 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -19683/4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -27/16 binary64)) #s(literal 9/8 binary64))))))
(*.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 729/256 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -9/8 binary64) (*.f64 #s(literal 27/16 binary64) (*.f64 v v)))))

simplify655.0ms (5.5%)

Memory
20.7MiB live, 1 352.2MiB allocated
Algorithm
1×egg-herbie
Rules
23 184×accelerator-lowering-fma.f32
23 184×accelerator-lowering-fma.f64
6 686×+-lowering-+.f64
6 686×+-lowering-+.f32
5 770×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03343589
110383455
237883283
081283136
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 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 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 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
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 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)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 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 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))))
(* -1/4 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4))))))
(* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/4 (/ (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4)))))))
(* 1/4 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/4 (/ (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* (sqrt -3) (sqrt 2))) (pow v 4))))))))
1
(+ 1 (* -1 (pow v 4)))
(+ 1 (* -1 (pow v 4)))
(+ 1 (* -1 (pow v 4)))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
1
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(* 27/16 (pow v 8))
(* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))
(* 27/16 (pow v 8))
(* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))
(pow 1/64 1/4)
(+ (* -5/2 (* (pow 1/64 1/4) (pow v 2))) (pow 1/64 1/4))
(+ (* (pow v 2) (+ (* -5/2 (pow 1/64 1/4)) (* 3/8 (* (pow 1/64 1/4) (pow v 2))))) (pow 1/64 1/4))
(+ (* (pow v 2) (+ (* -5/2 (pow 1/64 1/4)) (* (pow v 2) (+ (* -9/16 (* (pow 1/64 1/4) (pow v 2))) (* 3/8 (pow 1/64 1/4)))))) (pow 1/64 1/4))
(* 27/16 (* (pow 1/64 1/4) (pow v 8)))
(* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (* 27/16 (pow 1/64 1/4))))
(* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4)))))
(* (pow v 8) (+ (* -5/2 (* (pow 1/64 1/4) (/ 1 (pow v 6)))) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4))))))
(* 27/16 (* (pow 1/64 1/4) (pow v 8)))
(* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (* 27/16 (pow 1/64 1/4))))
(* (pow v 8) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4)))))
(* (pow v 8) (+ (* -5/2 (* (pow 1/64 1/4) (/ 1 (pow v 6)))) (+ (* -9/16 (* (pow 1/64 1/4) (/ 1 (pow v 2)))) (+ (* 3/8 (* (pow 1/64 1/4) (/ 1 (pow v 4)))) (* 27/16 (pow 1/64 1/4))))))
1
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(* 27/16 (pow v 8))
(* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))
(* 27/16 (pow v 8))
(* (pow v 8) (- 27/16 (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (* 9/16 (/ 1 (pow v 2)))))
(* (pow v 8) (- (+ 27/16 (/ 3/8 (pow v 4))) (+ (* 9/16 (/ 1 (pow v 2))) (* 5/2 (/ 1 (pow v 6))))))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 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)))))))
(* 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 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 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)))))))
(* -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))))))))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(* -3/2 v)
(* v (- (* -9/8 (pow v 2)) 3/2))
(* v (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(* v (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(* -27/16 (pow v 5))
(* -1 (* (pow v 5) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 5) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 5) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* -27/16 (pow v 5))
(* -1 (* (pow v 5) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 5) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(* -1 (* (pow v 5) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -9/8 (pow v 2))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* -27/16 (pow v 4))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -27/16 (pow v 4))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(* -6 (pow v 2))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* -6 (pow v 2))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* 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)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 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) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 v v) #s(literal 3/8 binary64)))) (*.f64 v v))))
(+ (* 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)))))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/16 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 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 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.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)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v)))))
(* (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 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #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)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (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 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #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 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.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)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -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 (*.f64 v (*.f64 v v)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #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)) (*.f64 (*.f64 v v) (*.f64 v v))))))))
(* -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 (*.f64 v (*.f64 v v)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
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(*.f64 v (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -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 #s(literal 0 binary64) (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 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 v (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/32 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)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -27/64 binary64)) #s(literal -9/32 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal 1/4 binary64)))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 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 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* 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 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) v))
(* -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 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -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 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(* -3/2 v)
(*.f64 v #s(literal -3/2 binary64))
(* v (- (* -9/8 (pow v 2)) 3/2))
(*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64))))
(* v (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))
(* v (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))
(* -27/16 (pow v 5))
(*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* (pow v 5) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* (pow v 5) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))) (*.f64 v v))))
(* (pow v 5) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 v v))) (*.f64 v v))))
(* -27/16 (pow v 5))
(*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* (pow v 5) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 5) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (-.f64 #s(literal -27/16 binary64) (+.f64 (/.f64 #s(literal 9/8 binary64) (*.f64 v v)) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* -1 (* (pow v 5) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (-.f64 #s(literal -27/16 binary64) (+.f64 (/.f64 #s(literal 9/8 binary64) (*.f64 v v)) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -27/16 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -27/16 binary64))
(* -9/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -9/8 binary64))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))
(* -27/16 (pow v 4))
(*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* -27/16 (pow v 4))
(*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -27/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 9/8 binary64) (*.f64 v v)))))

eval237.0ms (2%)

Memory
47.7MiB live, 564.3MiB allocated
Compiler

Compiled 73 402 to 4 338 computations (94.1% saved)

prune174.0ms (1.5%)

Memory
-35.5MiB live, 483.6MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1 64041 644
Fresh000
Picked325
Done101
Total1 64461 650
Accuracy
100.0%
Counts
1 650 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
▶100.0%
(/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.9%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓96.9%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
▶100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
✓98.9%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
Compiler

Compiled 69 to 54 computations (21.7% saved)

simplify401.0ms (3.4%)

Memory
-8.5MiB live, 588.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓cost-diff128
(/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff128
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
Rules
12 390×accelerator-lowering-fma.f32
12 390×accelerator-lowering-fma.f64
2 288×+-lowering-+.f64
2 288×+-lowering-+.f32
2 188×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023173
148171
293171
3184171
4427171
5752171
61049171
72048171
83054171
94877171
105889171
116852171
127244171
08108157
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 1 (* v v)) (* (sqrt (+ 2 (* (* v v) -6))) 1/4))
(- 1 (* v v))
1
(* v v)
v
(* (sqrt (+ 2 (* (* v v) -6))) 1/4)
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
1/4
(/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))
(sqrt 2)
2
(/ 1 (+ 1/4 (* (* v v) -5/8)))
1
(+ 1/4 (* (* v v) -5/8))
1/4
(* (* v v) -5/8)
(* v v)
v
-5/8
(/ (* 1/4 (sqrt (+ 2 (* (* v v) -6)))) (/ 1 (- 1 (* v v))))
(* 1/4 (sqrt (+ 2 (* (* v v) -6))))
1/4
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
v
-6
(/ 1 (- 1 (* v v)))
1
(- 1 (* v v))
(pow 1/64 1/4)
1/64
1/4
Outputs
(* (- 1 (* v v)) (* (sqrt (+ 2 (* (* v v) -6))) 1/4))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -1/4 binary64)))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(* (sqrt (+ 2 (* (* v v) -6))) 1/4)
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
-6
#s(literal -6 binary64)
1/4
#s(literal 1/4 binary64)
(/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ 1/4 (* (* v v) -5/8)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
1
#s(literal 1 binary64)
(+ 1/4 (* (* v v) -5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(/ (* 1/4 (sqrt (+ 2 (* (* v v) -6)))) (/ 1 (- 1 (* v v))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -1/4 binary64)))))
(* 1/4 (sqrt (+ 2 (* (* v v) -6))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
v
-6
#s(literal -6 binary64)
(/ 1 (- 1 (* v v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(pow 1/64 1/4)
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
1/64
#s(literal 1/64 binary64)
1/4
#s(literal 1/4 binary64)

localize140.0ms (1.2%)

Memory
-12.3MiB live, 105.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓accuracy100.0%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
Samples
98.0ms256×0valid
Compiler

Compiled 177 to 25 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 24.0ms (57.3% of total)
ival-div: 6.0ms (14.3% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-pow: 4.0ms (9.6% of total)
ival-add: 2.0ms (4.8% of total)
ival-sub: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
16 → 168
Calls
Call 1
Inputs
#<alt (* (- 1 (* v v)) (* (sqrt (+ 2 (* (* v v) -6))) 1/4))>
#<alt (- 1 (* v v))>
#<alt (* v v)>
#<alt (* (sqrt (+ 2 (* (* v v) -6))) 1/4)>
#<alt (/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))>
#<alt (sqrt 2)>
#<alt (/ 1 (+ 1/4 (* (* v v) -5/8)))>
#<alt (+ 1/4 (* (* v v) -5/8))>
#<alt (/ (* 1/4 (sqrt (+ 2 (* (* v v) -6)))) (/ 1 (- 1 (* v v))))>
#<alt (* 1/4 (sqrt (+ 2 (* (* v v) -6))))>
#<alt (sqrt (+ 2 (* (* v v) -6)))>
#<alt (+ 2 (* (* v v) -6))>
#<alt (pow 1/64 1/4)>
#<alt (* (* v v) -6)>
#<alt (* (* v v) -5/8)>
#<alt (/ 1 (- 1 (* v v)))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 4>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt 1>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (* (pow v 2) (+ 1 (pow v 2))))>
#<alt (+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
v
@0
(* (- 1 (* v v)) (* (sqrt (+ 2 (* (* v v) -6))) 1/4))
1.0ms
v
@inf
(* (- 1 (* v v)) (* (sqrt (+ 2 (* (* v v) -6))) 1/4))
0.0ms
v
@inf
(* (sqrt (+ 2 (* (* v v) -6))) 1/4)
0.0ms
v
@0
(* (sqrt (+ 2 (* (* v v) -6))) 1/4)
0.0ms
v
@inf
(* (* v v) -6)

rewrite719.0ms (6%)

Memory
-11.6MiB live, 539.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 966×*-lowering-*.f32
4 966×*-lowering-*.f64
4 832×accelerator-lowering-fma.f32
4 832×accelerator-lowering-fma.f64
3 190×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023125
1127123
2818123
37611123
08538111
Stop Event
1×iter limit
1×node limit
Counts
16 → 1 045
Calls
Call 1
Inputs
(* (- 1 (* v v)) (* (sqrt (+ 2 (* (* v v) -6))) 1/4))
(- 1 (* v v))
(* v v)
(* (sqrt (+ 2 (* (* v v) -6))) 1/4)
(/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))
(sqrt 2)
(/ 1 (+ 1/4 (* (* v v) -5/8)))
(+ 1/4 (* (* v v) -5/8))
(/ (* 1/4 (sqrt (+ 2 (* (* v v) -6)))) (/ 1 (- 1 (* v v))))
(* 1/4 (sqrt (+ 2 (* (* v v) -6))))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
(pow 1/64 1/4)
(* (* v v) -6)
(* (* v v) -5/8)
(/ 1 (- 1 (* v v)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 v (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v))))
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 v v)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))

simplify425.0ms (3.6%)

Memory
45.4MiB live, 636.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 310×accelerator-lowering-fma.f32
10 310×accelerator-lowering-fma.f64
4 308×*-lowering-*.f32
4 308×*-lowering-*.f64
3 284×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02382312
16842204
221972160
366362139
083912036
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 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)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
4
(+ 4 (* 10 (pow v 2)))
(+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))
(+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
1
(+ 1 (pow v 2))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
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(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 v (*.f64 v #s(literal -3/4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -27/8 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* 1/4 (* v (sqrt -6)))
(*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) v) (*.f64 v (*.f64 v v)))) v))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* -1/4 (* v (sqrt -6)))
(*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) v) (*.f64 v (*.f64 v v))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 v (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) v) (*.f64 v (*.f64 v v))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(+.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(+.f64 (+.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1/12 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* -1 (* v (sqrt -6)))
(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(-.f64 (*.f64 v (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(+.f64 (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64)))))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) #s(literal 1 binary64)))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))

eval197.0ms (1.7%)

Memory
-15.5MiB live, 415.8MiB allocated
Compiler

Compiled 47 013 to 3 466 computations (92.6% saved)

prune143.0ms (1.2%)

Memory
-6.6MiB live, 429.1MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 58611 587
Fresh000
Picked044
Done022
Total1 58671 593
Accuracy
100.0%
Counts
1 593 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
✓100.0%
(/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓98.9%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓96.9%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
✓98.9%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
Compiler

Compiled 398 to 169 computations (57.5% saved)

regimes27.0ms (0.2%)

Memory
-14.9MiB live, 46.9MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v #s(literal -9/8 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -3/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
Calls

3 calls:

17.0ms
v
5.0ms
(*.f64 v v)
4.0ms
(*.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 26 to 17 computations (34.6% saved)

regimes5.0ms (0%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
Calls

2 calls:

3.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.9%1v
98.9%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total -1.0b remaining (-94.3%)

Threshold costs -1b (-94.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
98.4%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Memory
-16.2MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
10×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01929
13429
24129
34529
44729
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))

soundness886.0ms (7.4%)

Memory
5.8MiB live, 872.6MiB allocated
Rules
23 184×accelerator-lowering-fma.f32
23 184×accelerator-lowering-fma.f64
21 438×accelerator-lowering-fma.f32
21 438×accelerator-lowering-fma.f64
17 150×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044274
1249256
21845256
08139233
042239
1255237
22378231
08203212
0169984
1529955
22000898
35815889
08181843
03343589
110383455
237883283
081283136
02742773
18452715
226752558
361372544
082102448
01451
17149
248349
3484349
0849345
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 165 to 111 computations (32.7% saved)

preprocess45.0ms (0.4%)

Memory
19.2MiB live, 60.0MiB allocated
Remove

(abs v)

Compiler

Compiled 168 to 114 computations (32.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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