Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

Time bar (total: 10.9s)

analyze43.0ms (0.4%)

Memory
-5.6MiB live, 113.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (15%)

Memory
-1.5MiB live, 1 644.1MiB allocated
Samples
765.0ms8 256×0valid
264.0ms2 102×0invalid
Precisions
Click to see histograms. Total time spent on operations: 442.0ms
ival-mult: 136.0ms (30.7% of total)
ival-div: 126.0ms (28.5% of total)
ival-sqrt: 114.0ms (25.8% of total)
ival-add: 46.0ms (10.4% of total)
exact: 9.0ms (2% of total)
ival-true: 8.0ms (1.8% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

preprocess78.0ms (0.7%)

Memory
-11.5MiB live, 27.2MiB allocated
Algorithm
2×egg-herbie
Rules
488×unsub-neg
368×distribute-lft-neg-in
312×cancel-sign-sub-inv
282×distribute-rgt-in
246×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03786
111882
233082
362282
499082
5144582
6184882
7216182
8227682
9236082
10239682
11240082
12240082
0118
1228
2328
3368
0367
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (/ 1 2) (+ x (* y (sqrt z))))
Outputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
Call 2
Inputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(* (/ 1 2) (+ (neg x) (* y (sqrt z))))
(* (/ 1 2) (+ x (* (neg y) (sqrt z))))
(* (/ 1 2) (+ x (* y (sqrt (neg z)))))
(neg (* (/ 1 2) (+ (neg x) (* y (sqrt z)))))
(neg (* (/ 1 2) (+ x (* (neg y) (sqrt z)))))
(neg (* (/ 1 2) (+ x (* y (sqrt (neg z))))))
(* (/ 1 2) (+ y (* x (sqrt z))))
(* (/ 1 2) (+ z (* y (sqrt x))))
(* (/ 1 2) (+ x (* z (sqrt y))))
Outputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* (/ 1 2) (+ (neg x) (* y (sqrt z))))
(* 1/2 (- (* y (sqrt z)) x))
(* (/ 1 2) (+ x (* (neg y) (sqrt z))))
(* 1/2 (- x (* y (sqrt z))))
(* (/ 1 2) (+ x (* y (sqrt (neg z)))))
(* 1/2 (+ x (* y (sqrt (neg z)))))
(neg (* (/ 1 2) (+ (neg x) (* y (sqrt z)))))
(* 1/2 (- x (* y (sqrt z))))
(neg (* (/ 1 2) (+ x (* (neg y) (sqrt z)))))
(* 1/2 (- (* y (sqrt z)) x))
(neg (* (/ 1 2) (+ x (* y (sqrt (neg z))))))
(* (+ x (* y (sqrt (neg z)))) -1/2)
(* (/ 1 2) (+ y (* x (sqrt z))))
(* 1/2 (+ y (* x (sqrt z))))
(* (/ 1 2) (+ z (* y (sqrt x))))
(* 1/2 (+ z (* y (sqrt x))))
(* (/ 1 2) (+ x (* z (sqrt y))))
(* 1/2 (+ x (* z (sqrt y))))

explain131.0ms (1.2%)

Memory
-0.3MiB live, 118.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(sqrt.f64 z)
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y (sqrt.f64 z))
00-0-x
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
35.0ms512×0valid
Compiler

Compiled 90 to 44 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (34.3% of total)
ival-div: 4.0ms (22.9% of total)
ival-sqrt: 4.0ms (22.9% of total)
ival-add: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify5.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (sqrt.f64 z))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓cost-diff128
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Rules
32×*-lowering-*.f32
32×*-lowering-*.f64
20×*-commutative
20×accelerator-lowering-fma.f32
20×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
12226
23226
33626
03624
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(/ 1 2)
1
2
(+ x (* y (sqrt z)))
x
(* y (sqrt z))
y
(sqrt z)
z
Outputs
(* (/ 1 2) (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
y
(sqrt z)
(sqrt.f64 z)
z

localize114.0ms (1%)

Memory
3.4MiB live, 40.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓accuracy99.7%
(*.f64 y (sqrt.f64 z))
Samples
104.0ms256×0valid
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (36.6% of total)
ival-div: 2.0ms (24.4% of total)
ival-sqrt: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ 1 2)>
#<alt (+ x (* y (sqrt z)))>
#<alt (* (/ 1 2) (+ x (* y (sqrt z))))>
#<alt (* y (sqrt z))>
#<alt (sqrt z)>
Outputs
#<alt (* y (sqrt z))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt x>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt x>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
z
@0
(* (/ 1 2) (+ x (* y (sqrt z))))
1.0ms
z
@-inf
(+ x (* y (sqrt z)))
0.0ms
x
@0
(+ x (* y (sqrt z)))
0.0ms
z
@0
(+ x (* y (sqrt z)))
0.0ms
z
@inf
(+ x (* y (sqrt z)))

rewrite542.0ms (5%)

Memory
14.4MiB live, 802.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 460×accelerator-lowering-fma.f32
7 460×accelerator-lowering-fma.f64
4 298×*-lowering-*.f32
4 298×*-lowering-*.f64
4 222×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
13621
222521
3201021
0816719
Stop Event
1×iter limit
1×node limit
Counts
5 → 272
Calls
Call 1
Inputs
(/ 1 2)
(+ x (* y (sqrt z)))
(* (/ 1 2) (+ x (* y (sqrt z))))
(* y (sqrt z))
(sqrt z)
Outputs
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (/.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(-.f64 (/.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z))))) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y z)) (*.f64 y (*.f64 (*.f64 y z) (*.f64 y (*.f64 y z))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z))))) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y z) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y z)) (*.f64 y (*.f64 (*.f64 y z) (*.f64 y (*.f64 y z))))) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y z) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y z) (*.f64 x x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y z) (*.f64 y (*.f64 y z)))) (fma.f64 y (*.f64 y z) (*.f64 x x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y z)) (*.f64 y (*.f64 (*.f64 y z) (*.f64 y (*.f64 y z))))) (*.f64 (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y z) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y z)) (*.f64 y (*.f64 (*.f64 y z) (*.f64 y (*.f64 y z))))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y z) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 y (*.f64 y z) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 (*.f64 y z) (*.f64 y (*.f64 y z)))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 y (*.f64 y z) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))) (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (*.f64 y (*.f64 y z))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
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(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(*.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) (*.f64 (*.f64 y (*.f64 y z)) (*.f64 (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))))))) (fma.f64 (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) (-.f64 (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y z)) (*.f64 (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (sqrt.f64 z))))) (fma.f64 y (fma.f64 y z (*.f64 x (sqrt.f64 z))) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(fabs.f64 (sqrt.f64 z))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))

simplify300.0ms (2.8%)

Memory
-22.9MiB live, 361.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 642×accelerator-lowering-fma.f32
5 642×accelerator-lowering-fma.f64
3 660×*-lowering-*.f32
3 660×*-lowering-*.f64
1 856×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075646
1251646
2799646
32309622
45074622
57547622
08139566
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
Outputs
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
x
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* 1/2 (* y (sqrt z)))
(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)

eval49.0ms (0.4%)

Memory
-17.4MiB live, 98.3MiB allocated
Compiler

Compiled 12 134 to 917 computations (92.4% saved)

prune52.0ms (0.5%)

Memory
-8.2MiB live, 113.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New36911380
Fresh000
Picked101
Done000
Total37011381
Accuracy
100.0%
Counts
381 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
99.6%
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
▶50.5%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
56.4%
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
▶99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
99.8%
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
69.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
▶99.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
54.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)))))
▶56.4%
(*.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
▶99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 380 to 238 computations (37.4% saved)

simplify309.0ms (2.8%)

Memory
9.4MiB live, 244.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (sqrt.f64 z))
✓cost-diff192
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓cost-diff2240
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sqrt.f64 z))
✓cost-diff0
(fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))
✓cost-diff0
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(fma.f64 y (sqrt.f64 z) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
✓cost-diff1024
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
✓cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 y (sqrt.f64 z))
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff192
(+.f64 x (*.f64 y (sqrt.f64 z)))
Rules
3 120×accelerator-lowering-fma.f32
3 120×accelerator-lowering-fma.f64
2 216×*-lowering-*.f32
2 216×*-lowering-*.f64
910×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031155
169155
2133152
3263152
4529152
5964152
61454152
72969152
84362152
94794152
104984152
115022152
125061152
135536152
145824152
155847152
165853152
175853152
185853152
196007152
206198152
216198152
06198145
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 1/2 (+ x (* y (sqrt z))))
1/2
(+ x (* y (sqrt z)))
x
(* y (sqrt z))
y
(sqrt z)
z
(+ (* x 1/2) 0)
x
1/2
0
(/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))
1/2
(/ 1 (+ (* y (sqrt z)) x))
1
(+ (* y (sqrt z)) x)
y
(sqrt z)
z
x
(* (- (* x x) (* y (* y z))) (/ 1/2 (+ (* y (- 0 (sqrt z))) x)))
(- (* x x) (* y (* y z)))
(* x x)
x
(* y (* y z))
y
(* y z)
z
(/ 1/2 (+ (* y (- 0 (sqrt z))) x))
1/2
(+ (* y (- 0 (sqrt z))) x)
(- 0 (sqrt z))
0
(sqrt z)
(* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))))
(/ 1 2)
1
2
(+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))
x
(* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))
y
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(sqrt (sqrt z))
(sqrt z)
z
Outputs
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
y
(sqrt z)
(sqrt.f64 z)
z
(+ (* x 1/2) 0)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)
(/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (+ (* y (sqrt z)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
1
#s(literal 1 binary64)
(+ (* y (sqrt z)) x)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt z)
(sqrt.f64 z)
z
x
(* (- (* x x) (* y (* y z))) (/ 1/2 (+ (* y (- 0 (sqrt z))) x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))))
(- (* x x) (* y (* y z)))
(fma.f64 x x (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* y (* y z))
(fma.f64 y (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
y
(* y z)
(fma.f64 y z #s(literal 0 binary64))
z
(/ 1/2 (+ (* y (- 0 (sqrt z))) x))
(/.f64 #s(literal 1/2 binary64) (-.f64 x (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)
(+ (* y (- 0 (sqrt z))) x)
(-.f64 x (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(- 0 (sqrt z))
(-.f64 #s(literal 0 binary64) (sqrt.f64 z))
0
#s(literal 0 binary64)
(sqrt z)
(sqrt.f64 z)
(* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))
(fma.f64 y (sqrt.f64 z) x)
x
(* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
y
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(sqrt.f64 z)
(sqrt (sqrt z))
(sqrt.f64 (sqrt.f64 z))
(sqrt z)
(sqrt.f64 z)
z

localize200.0ms (1.8%)

Memory
13.6MiB live, 223.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
✓accuracy99.8%
(sqrt.f64 (sqrt.f64 z))
✓accuracy99.7%
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
✓accuracy99.2%
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
✓accuracy99.8%
(*.f64 y (*.f64 y z))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))
✓accuracy95.2%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z)))
✓accuracy58.4%
(*.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.8%
(fma.f64 y (sqrt.f64 z) x)
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
✓accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓accuracy99.7%
(*.f64 y (sqrt.f64 z))
Samples
55.0ms256×0valid
Compiler

Compiled 182 to 33 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 18.0ms (50.2% of total)
ival-div: 6.0ms (16.7% of total)
ival-add: 5.0ms (13.9% of total)
ival-sqrt: 4.0ms (11.1% of total)
ival-sub: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series153.0ms (1.4%)

Memory
-12.9MiB live, 99.8MiB allocated
Counts
19 → 492
Calls
Call 1
Inputs
#<alt (+ x (* y (sqrt z)))>
#<alt (sqrt z)>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* y (sqrt z))>
#<alt (+ (* x 1/2) 0)>
#<alt (/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))>
#<alt (/ 1 (+ (* y (sqrt z)) x))>
#<alt (+ (* y (sqrt z)) x)>
#<alt (- (* x x) (* y (* y z)))>
#<alt (/ 1/2 (+ (* y (- 0 (sqrt z))) x))>
#<alt (+ (* y (- 0 (sqrt z))) x)>
#<alt (- 0 (sqrt z))>
#<alt (* (sqrt (sqrt z)) (sqrt (sqrt z)))>
#<alt (/ 1 2)>
#<alt (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))>
#<alt (sqrt (sqrt z))>
#<alt (* (- (* x x) (* y (* y z))) (/ 1/2 (+ (* y (- 0 (sqrt z))) x)))>
#<alt (* y (* y z))>
#<alt (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))>
Outputs
#<alt (* y (sqrt z))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt x>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt x>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
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#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))>
#<alt (+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))>
#<alt (+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))>
#<alt (* -1/2 (* y (sqrt z)))>
#<alt (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
Calls

123 calls:

TimeVariablePointExpression
48.0ms
z
@0
(sqrt (sqrt z))
42.0ms
z
@0
(* y (* y z))
22.0ms
x
@0
(- (* x x) (* y (* y z)))
12.0ms
z
@inf
(sqrt (sqrt z))
2.0ms
z
@-inf
(/ 1 (+ (* y (sqrt z)) x))

rewrite1.3s (12.4%)

Memory
1.6MiB live, 992.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
16 258×accelerator-lowering-fma.f32
16 258×accelerator-lowering-fma.f64
5 484×*-lowering-*.f32
5 484×*-lowering-*.f64
2 802×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030102
1166100
21362100
0981693
Stop Event
1×iter limit
1×node limit
Counts
19 → 2 565
Calls
Call 1
Inputs
(+ x (* y (sqrt z)))
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(* y (sqrt z))
(+ (* x 1/2) 0)
(/ 1/2 (/ 1 (+ (* y (sqrt z)) x)))
(/ 1 (+ (* y (sqrt z)) x))
(+ (* y (sqrt z)) x)
(- (* x x) (* y (* y z)))
(/ 1/2 (+ (* y (- 0 (sqrt z))) x))
(+ (* y (- 0 (sqrt z))) x)
(- 0 (sqrt z))
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(/ 1 2)
(+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))
(sqrt (sqrt z))
(* (- (* x x) (* y (* y z))) (/ 1/2 (+ (* y (- 0 (sqrt z))) x)))
(* y (* y z))
(* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))
Outputs
(+.f64 x (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) x)
(+.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (neg.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(+.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64))))
(-.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(-.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) (*.f64 x x))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) (*.f64 x x))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) (*.f64 x x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) (*.f64 x x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(-.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 y (sqrt.f64 z) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (sqrt.f64 z) y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (sqrt.f64 z) y (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (neg.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) y) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 z))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) x)
(fma.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 z) x))) (neg.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (fma.f64 y z (*.f64 (sqrt.f64 z) x)))))) (neg.f64 (/.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (*.f64 y (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (*.f64 y (fma.f64 y z #s(literal 0 binary64)))))))
(/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 y (fma.f64 y z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (*.f64 y (fma.f64 y z #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (*.f64 y (fma.f64 y z #s(literal 0 binary64))))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (fma.f64 y z #s(literal 0 binary64))) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (*.f64 (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x) (*.f64 y (fma.f64 y z #s(literal 0 binary64)))))
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(fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) (*.f64 y y))))
(fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))) y) y) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))) y) y) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)) #s(literal 0 binary64)))
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(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) #s(literal -1 binary64)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)) #s(literal 0 binary64)))
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(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) (*.f64 y y))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) (*.f64 y y))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) (*.f64 y y))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(pow.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 y (fma.f64 y z #s(literal 0 binary64)))
(*.f64 z (*.f64 y y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y y)))
(*.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(*.f64 (fma.f64 y z #s(literal 0 binary64)) y)
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) z)
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))) y))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))) y) y) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))) y) (*.f64 y (sqrt.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 y y) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 y y) (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (sqrt.f64 z) #s(literal 0 binary64))) y) y) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) #s(literal -1 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
(+.f64 (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 z) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 z))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 0 binary64))
(neg.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(/.f64 (fma.f64 y z #s(literal 0 binary64)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) y) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 y (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))) z)
(/.f64 (neg.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) y)) z)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 z))))
(*.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify881.0ms (8.1%)

Memory
27.1MiB live, 746.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 826×accelerator-lowering-fma.f32
6 826×accelerator-lowering-fma.f64
6 284×*-lowering-*.f32
6 284×*-lowering-*.f64
2 332×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04944835
116514569
258944441
083724256
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
Outputs
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
x
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (+ (sqrt z) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (sqrt z) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (+ (sqrt z) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(fma.f64 y (-.f64 (/.f64 (*.f64 y z) (*.f64 x (*.f64 x x))) (/.f64 (sqrt.f64 z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(fma.f64 y (-.f64 (*.f64 y (fma.f64 (sqrt.f64 (*.f64 z (*.f64 z z))) (-.f64 #s(literal 0 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 z (*.f64 x (*.f64 x x))))) (/.f64 (sqrt.f64 z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
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(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 y (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 2) (+ x (* -1 (* y (sqrt z))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(+ (* -1/2 (/ (* (pow y 2) z) (+ x (* -1 (* y (sqrt z)))))) (* 1/2 (/ (pow x 2) (+ x (* -1 (* y (sqrt z)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (+ x (* -1 (* y (sqrt z)))))) (* 1/2 (/ (pow x 2) (+ x (* -1 (* y (sqrt z)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (+ x (* -1 (* y (sqrt z)))))) (* 1/2 (/ (pow x 2) (+ x (* -1 (* y (sqrt z)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (/.f64 (sqrt.f64 z) z) x)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 (*.f64 z x) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 z))) y)) (/.f64 x y)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (/.f64 (sqrt.f64 z) z) x))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (/.f64 (-.f64 (*.f64 z x) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 z))) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z x) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 z))) y))) (*.f64 y (*.f64 y (*.f64 z z))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (/.f64 (sqrt.f64 z) z) x))))
(* -1/2 (* y (sqrt z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 y (sqrt.f64 z) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (/.f64 (sqrt.f64 z) z))) x))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(-.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 x x) y) (*.f64 z x))) y) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 x x) y) (*.f64 z x)))) z))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(-.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 x x) y) (*.f64 z x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 x x) y) (*.f64 z x))) y) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 x x) y) (*.f64 z x)) (*.f64 y y))))) z)) z))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))

eval461.0ms (4.2%)

Memory
44.2MiB live, 997.8MiB allocated
Compiler

Compiled 92 289 to 5 558 computations (94% saved)

prune328.0ms (3%)

Memory
-25.8MiB live, 698.0MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New3 392103 402
Fresh516
Picked415
Done000
Total3 401123 413
Accuracy
100.0%
Counts
3 413 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
▶50.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
▶99.8%
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
21.7%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
50.0%
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
92.1%
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶50.5%
(*.f64 x #s(literal 1/2 binary64))
92.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (fma.f64 y z #s(literal 0 binary64)) (sqrt.f64 z))))
75.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) y)) z)))
▶99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z)))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
▶89.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
Compiler

Compiled 291 to 210 computations (27.8% saved)

simplify309.0ms (2.8%)

Memory
15.3MiB live, 286.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 y (sqrt.f64 z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
✓cost-diff1088
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓cost-diff0
(/.f64 (sqrt.f64 z) x)
✓cost-diff0
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
✓cost-diff1024
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 z (sqrt.f64 z))
✓cost-diff0
(*.f64 y (/.f64 z (sqrt.f64 z)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z)))))
✓cost-diff128
(+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(fma.f64 y (sqrt.f64 z) x)
✓cost-diff0
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
Rules
5 852×*-lowering-*.f32
5 852×*-lowering-*.f64
4 522×associate-/r/
3 648×accelerator-lowering-fma.f32
3 648×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021114
153114
2122114
3291114
4535114
51017114
62772114
72891114
82899114
92906114
102906114
114708114
125309114
135411114
145462114
155499114
165535114
175573114
185613114
195655114
205699114
215745114
227427114
237618114
247837114
08221107
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* y (sqrt z)) x) 1/2)
(+ (* y (sqrt z)) x)
y
(sqrt z)
z
x
1/2
(* x 1/2)
x
1/2
(* 1/2 (+ x (* y (/ z (sqrt z)))))
1/2
(+ x (* y (/ z (sqrt z))))
x
(* y (/ z (sqrt z)))
y
(/ z (sqrt z))
z
(sqrt z)
(* 1/2 (* x (+ (* y (/ (sqrt z) x)) 1)))
1/2
(* x (+ (* y (/ (sqrt z) x)) 1))
x
(+ (* y (/ (sqrt z) x)) 1)
y
(/ (sqrt z) x)
(sqrt z)
z
1
(/ 1/2 (/ 1 (* y (sqrt z))))
1/2
(/ 1 (* y (sqrt z)))
1
(* y (sqrt z))
y
(sqrt z)
z
Outputs
(* (+ (* y (sqrt z)) x) 1/2)
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+ (* y (sqrt z)) x)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt z)
(sqrt.f64 z)
z
x
1/2
#s(literal 1/2 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* 1/2 (+ x (* y (/ z (sqrt z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
1/2
#s(literal 1/2 binary64)
(+ x (* y (/ z (sqrt z))))
(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
x
(* y (/ z (sqrt z)))
(*.f64 y (/.f64 z (sqrt.f64 z)))
y
(/ z (sqrt z))
(/.f64 z (sqrt.f64 z))
z
(sqrt z)
(sqrt.f64 z)
(* 1/2 (* x (+ (* y (/ (sqrt z) x)) 1)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
1/2
#s(literal 1/2 binary64)
(* x (+ (* y (/ (sqrt z) x)) 1))
(fma.f64 y (sqrt.f64 z) x)
x
(+ (* y (/ (sqrt z) x)) 1)
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
y
(/ (sqrt z) x)
(/.f64 (sqrt.f64 z) x)
(sqrt z)
(sqrt.f64 z)
z
1
#s(literal 1 binary64)
(/ 1/2 (/ 1 (* y (sqrt z))))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (* y (sqrt z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
1
#s(literal 1 binary64)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
y
(sqrt z)
(sqrt.f64 z)
z

localize72.0ms (0.7%)

Memory
22.7MiB live, 97.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.7%
(*.f64 y (sqrt.f64 z))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
✓accuracy98.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.6%
(/.f64 (sqrt.f64 z) x)
✓accuracy97.7%
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
✓accuracy92.1%
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z))))
✓accuracy99.7%
(*.f64 y (/.f64 z (sqrt.f64 z)))
✓accuracy99.2%
(/.f64 z (sqrt.f64 z))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.8%
(fma.f64 y (sqrt.f64 z) x)
Samples
40.0ms256×0valid
Compiler

Compiled 121 to 23 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (46.6% of total)
ival-div: 6.0ms (25.4% of total)
ival-add: 3.0ms (12.7% of total)
ival-sqrt: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-9.1MiB live, 28.0MiB allocated
Counts
15 → 408
Calls
Call 1
Inputs
#<alt (* (+ (* y (sqrt z)) x) 1/2)>
#<alt (+ (* y (sqrt z)) x)>
#<alt (sqrt z)>
#<alt (* x 1/2)>
#<alt (+ x (* y (/ z (sqrt z))))>
#<alt (* 1/2 (+ x (* y (/ z (sqrt z)))))>
#<alt (* y (/ z (sqrt z)))>
#<alt (/ z (sqrt z))>
#<alt (* x (+ (* y (/ (sqrt z) x)) 1))>
#<alt (* 1/2 (* x (+ (* y (/ (sqrt z) x)) 1)))>
#<alt (+ (* y (/ (sqrt z) x)) 1)>
#<alt (/ (sqrt z) x)>
#<alt (/ 1/2 (/ 1 (* y (sqrt z))))>
#<alt (/ 1 (* y (sqrt z)))>
#<alt (* y (sqrt z))>
Outputs
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt x>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* y (sqrt z))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt x>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (sqrt z))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt x>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt x>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* y (sqrt z))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt x>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt x>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* y (sqrt z))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))>
#<alt 1>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (* (/ y x) (sqrt z))>
#<alt (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))>
#<alt (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))>
#<alt (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))>
#<alt (* (/ y x) (sqrt z))>
#<alt (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (* (/ y x) (sqrt z))>
#<alt (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))>
#<alt (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))>
#<alt (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))>
#<alt (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))>
#<alt (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))>
#<alt (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))>
#<alt (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))>
#<alt (* (/ y x) (sqrt z))>
#<alt (/ (+ x (* y (sqrt z))) x)>
#<alt (/ (+ x (* y (sqrt z))) x)>
#<alt (/ (+ x (* y (sqrt z))) x)>
#<alt 1>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt 1>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (+ 1 (* (/ y x) (sqrt z)))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* (/ 1 x) (sqrt z))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* (/ 1 y) (sqrt (/ 1 z)))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
Calls

102 calls:

TimeVariablePointExpression
4.0ms
z
@0
(* 1/2 (* x (+ (* y (/ (sqrt z) x)) 1)))
1.0ms
z
@-inf
(/ z (sqrt z))
1.0ms
z
@0
(* x (+ (* y (/ (sqrt z) x)) 1))
1.0ms
y
@0
(/ 1 (* y (sqrt z)))
1.0ms
z
@-inf
(/ 1 (* y (sqrt z)))

rewrite611.0ms (5.6%)

Memory
-121.3MiB live, 538.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 150×accelerator-lowering-fma.f32
7 150×accelerator-lowering-fma.f64
5 086×*-lowering-*.f32
5 086×*-lowering-*.f64
3 334×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02193
111892
281388
0917481
Stop Event
1×iter limit
1×node limit
Counts
15 → 919
Calls
Call 1
Inputs
(* (+ (* y (sqrt z)) x) 1/2)
(+ (* y (sqrt z)) x)
(sqrt z)
(* x 1/2)
(+ x (* y (/ z (sqrt z))))
(* 1/2 (+ x (* y (/ z (sqrt z)))))
(* y (/ z (sqrt z)))
(/ z (sqrt z))
(* x (+ (* y (/ (sqrt z) x)) 1))
(* 1/2 (* x (+ (* y (/ (sqrt z) x)) 1)))
(+ (* y (/ (sqrt z) x)) 1)
(/ (sqrt z) x)
(/ 1/2 (/ 1 (* y (sqrt z))))
(/ 1 (* y (sqrt z)))
(* y (sqrt z))
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))) (/.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
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(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/4 binary64))))
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(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
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(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 z))
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simplify382.0ms (3.5%)

Memory
-5.0MiB live, 387.1MiB allocated
Algorithm
1×egg-herbie
Rules
5 314×accelerator-lowering-fma.f32
5 314×accelerator-lowering-fma.f64
3 114×*-lowering-*.f32
3 114×*-lowering-*.f64
1 514×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01082627
13682519
212102447
325052447
442482447
558512447
668002447
775602447
877822447
084232251
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
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(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
Outputs
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
x
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
x
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 y z #s(literal 0 binary64)) x)
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
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(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* (/ 1 y) (sqrt (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* y (sqrt z))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))

eval175.0ms (1.6%)

Memory
13.3MiB live, 321.5MiB allocated
Compiler

Compiled 24 639 to 2 412 computations (90.2% saved)

prune163.0ms (1.5%)

Memory
-11.5MiB live, 263.1MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 45451 459
Fresh606
Picked235
Done011
Total1 46291 471
Accuracy
100.0%
Counts
1 471 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.4%
(/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))
▶50.0%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
▶90.9%
(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓99.8%
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
▶50.0%
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
▶43.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)))
✓50.5%
(*.f64 x #s(literal 1/2 binary64))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓89.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
Compiler

Compiled 149 to 110 computations (26.2% saved)

simplify13.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff1088
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 z (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(/.f64 y (sqrt.f64 z))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) z)
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(/.f64 y (sqrt.f64 z))
✓cost-diff0
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
✓cost-diff0
(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
Rules
200×*-lowering-*.f32
200×*-lowering-*.f64
86×associate-*l*
60×/-lowering-/.f32
60×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019103
144103
280103
3112103
4138103
5177103
6205103
7219103
8233103
9251103
0251101
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ (* z (/ y (sqrt z))) x) 1/2)
(+ (* z (/ y (sqrt z))) x)
z
(/ y (sqrt z))
y
(sqrt z)
x
1/2
(* (* (sqrt z) 1/2) y)
(* (sqrt z) 1/2)
(sqrt z)
z
1/2
y
(* (* 1/2 z) (/ y (sqrt z)))
(* 1/2 z)
1/2
z
(/ y (sqrt z))
y
(sqrt z)
(/ (* z (* y 1/2)) (sqrt z))
(* z (* y 1/2))
z
(* y 1/2)
y
1/2
(sqrt z)
(/ (* y 1/2) (/ 1 (sqrt z)))
(* y 1/2)
y
1/2
(/ 1 (sqrt z))
1
(sqrt z)
z
Outputs
(* (+ (* z (/ y (sqrt z))) x) 1/2)
(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(+ (* z (/ y (sqrt z))) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
z
(/ y (sqrt z))
(/.f64 y (sqrt.f64 z))
y
(sqrt z)
(sqrt.f64 z)
x
1/2
#s(literal 1/2 binary64)
(* (* (sqrt z) 1/2) y)
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(* (sqrt z) 1/2)
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt z)
(sqrt.f64 z)
z
1/2
#s(literal 1/2 binary64)
y
(* (* 1/2 z) (/ y (sqrt z)))
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
z
(/ y (sqrt z))
(/.f64 y (sqrt.f64 z))
y
(sqrt z)
(sqrt.f64 z)
(/ (* z (* y 1/2)) (sqrt z))
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(* z (* y 1/2))
(*.f64 z (*.f64 y #s(literal 1/2 binary64)))
z
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(sqrt z)
(sqrt.f64 z)
(/ (* y 1/2) (/ 1 (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(/ 1 (sqrt z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
1
#s(literal 1 binary64)
(sqrt z)
(sqrt.f64 z)
z

localize77.0ms (0.7%)

Memory
-24.6MiB live, 111.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.6%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
✓accuracy100.0%
(*.f64 z (*.f64 y #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy87.4%
(/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) z)
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.6%
(/.f64 y (sqrt.f64 z))
✓accuracy86.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)))
✓accuracy100.0%
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.6%
(/.f64 y (sqrt.f64 z))
✓accuracy90.9%
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
Samples
51.0ms256×0valid
Compiler

Compiled 105 to 21 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (45% of total)
ival-div: 10.0ms (40.9% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
13 → 276
Calls
Call 1
Inputs
#<alt (* (+ (* z (/ y (sqrt z))) x) 1/2)>
#<alt (+ (* z (/ y (sqrt z))) x)>
#<alt (/ y (sqrt z))>
#<alt (sqrt z)>
#<alt (* (* (sqrt z) 1/2) y)>
#<alt (* (sqrt z) 1/2)>
#<alt (* (* 1/2 z) (/ y (sqrt z)))>
#<alt (* 1/2 z)>
#<alt (/ (* z (* y 1/2)) (sqrt z))>
#<alt (* z (* y 1/2))>
#<alt (* y 1/2)>
#<alt (/ (* y 1/2) (/ 1 (sqrt z)))>
#<alt (/ 1 (sqrt z))>
Outputs
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (+ x (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (+ (sqrt z) (/ x y)))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))>
#<alt (* y (sqrt z))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt (+ x (* y (sqrt z)))>
#<alt x>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt (* x (+ 1 (* (/ y x) (sqrt z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (* y (sqrt (/ 1 z)))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* 1/2 (sqrt z))>
#<alt (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* 1/2 (* y (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
#<alt (sqrt (/ 1 z))>
Calls

69 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* z (* y 1/2))
0.0ms
z
@0
(* z (* y 1/2))
0.0ms
z
@inf
(* z (* y 1/2))
0.0ms
y
@inf
(* z (* y 1/2))
0.0ms
z
@-inf
(* (sqrt z) 1/2)

rewrite367.0ms (3.4%)

Memory
22.3MiB live, 523.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 766×accelerator-lowering-fma.f32
4 766×accelerator-lowering-fma.f64
4 524×*-lowering-*.f32
4 524×*-lowering-*.f64
2 628×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01967
18366
247762
3473562
0865260
Stop Event
1×iter limit
1×node limit
Counts
13 → 867
Calls
Call 1
Inputs
(* (+ (* z (/ y (sqrt z))) x) 1/2)
(+ (* z (/ y (sqrt z))) x)
(/ y (sqrt z))
(sqrt z)
(* (* (sqrt z) 1/2) y)
(* (sqrt z) 1/2)
(* (* 1/2 z) (/ y (sqrt z)))
(* 1/2 z)
(/ (* z (* y 1/2)) (sqrt z))
(* z (* y 1/2))
(* y 1/2)
(/ (* y 1/2) (/ 1 (sqrt z)))
(/ 1 (sqrt z))
Outputs
(+.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)))
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 z (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 z (*.f64 y #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))) (/.f64 z (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z y) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 z))) (/.f64 (*.f64 z y) (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 (sqrt.f64 z))) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
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(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))) (/.f64 z (sqrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 z))) (/.f64 (*.f64 z y) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 y (sqrt.f64 (sqrt.f64 z))) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))) (/.f64 y (sqrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 z (sqrt.f64 (sqrt.f64 z))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 z (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (sqrt.f64 z) z)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 z #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 z) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 (sqrt.f64 (sqrt.f64 z)) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))

simplify552.0ms (5.1%)

Memory
-35.4MiB live, 449.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 168×accelerator-lowering-fma.f32
6 168×accelerator-lowering-fma.f64
3 724×*-lowering-*.f32
3 724×*-lowering-*.f64
1 664×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0791558
12591558
27791558
321311534
453491534
575701534
080341478
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* 1/2 (* y (sqrt z)))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y (sqrt z))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* 1/2 (sqrt z))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
Outputs
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 0 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
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(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (* y (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) #s(literal 0 binary64))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))

eval512.0ms (4.7%)

Memory
-5.0MiB live, 380.8MiB allocated
Compiler

Compiled 18 049 to 1 653 computations (90.8% saved)

prune137.0ms (1.3%)

Memory
3.3MiB live, 318.4MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1 47921 481
Fresh000
Picked055
Done134
Total1 480101 490
Accuracy
100.0%
Counts
1 490 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓43.4%
(/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))
✓50.0%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
50.0%
(/.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) y))
✓90.9%
(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓99.8%
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
49.9%
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) z) y)
✓50.0%
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
✓43.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)))
✓50.5%
(*.f64 x #s(literal 1/2 binary64))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 424 to 180 computations (57.5% saved)

regimes62.0ms (0.6%)

Memory
19.9MiB live, 137.3MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) z) y)
(/.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))
(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 z) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (fma.f64 y z #s(literal 0 binary64)) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (neg.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) y)) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

10.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
9.0ms
z
9.0ms
(sqrt.f64 z)
8.0ms
x
8.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes55.0ms (0.5%)

Memory
-15.3MiB live, 24.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
Outputs
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
Calls

7 calls:

40.0ms
(*.f64 y (sqrt.f64 z))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
y
2.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes51.0ms (0.5%)

Memory
-17.6MiB live, 22.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
Outputs
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
Calls

7 calls:

38.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
(sqrt.f64 z)
2.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms
z
Results
AccuracySegmentsBranch
73.1%3x
76.2%3y
61.4%2z
63.0%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
63.0%5(+.f64 x (*.f64 y (sqrt.f64 z)))
77.5%3(*.f64 y (sqrt.f64 z))
61.4%2(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes11.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
Outputs
(*.f64 x #s(literal 1/2 binary64))
Calls

7 calls:

2.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
(*.f64 y (sqrt.f64 z))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
50.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
50.5%1(+.f64 x (*.f64 y (sqrt.f64 z)))
50.5%1z
50.5%1(sqrt.f64 z)
50.5%1x
50.5%1y
50.5%1(*.f64 y (sqrt.f64 z))
Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.81499627189708e+80
2.2743070910374214e+88
0.0ms
-4.1356242152108835e-68
-6.988791545132597e-69
Compiler

Compiled 16 to 16 computations (0% saved)

simplify13.0ms (0.1%)

Memory
-34.8MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
2×+-commutative_binary64
2×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
12742
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 999999999999999921281879895665782741935503249059183851809998224123064148429897728 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 999999999999999921281879895665782741935503249059183851809998224123064148429897728 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 999999999999999921281879895665782741935503249059183851809998224123064148429897728 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

soundness612.0ms (5.6%)

Memory
23.2MiB live, 568.0MiB allocated
Rules
16 258×accelerator-lowering-fma.f32
16 258×accelerator-lowering-fma.f64
7 460×accelerator-lowering-fma.f32
7 460×accelerator-lowering-fma.f64
6 826×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075646
1251646
2799646
32309622
45074622
57547622
08139566
04944835
116514569
258944441
083724256
030102
1166100
21362100
0981693
01121
13621
222521
3201021
0816719
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
Compiler

Compiled 117 to 70 computations (40.2% saved)

preprocess53.0ms (0.5%)

Memory
12.7MiB live, 99.9MiB allocated
Compiler

Compiled 126 to 56 computations (55.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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