Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

Time bar (total: 11.6s)

analyze45.0ms (0.4%)

Memory
2.6MiB live, 78.4MiB 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
50%49.9%49.9%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
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.0s (17.2%)

Memory
15.4MiB live, 1 320.8MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 716.0ms
ival-mult: 436.0ms (60.9% of total)
ival-div: 119.0ms (16.6% of total)
ival-sub: 77.0ms (10.8% of total)
ival-add: 69.0ms (9.6% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess435.0ms (3.7%)

Memory
4.4MiB live, 766.3MiB allocated
Algorithm
2×egg-herbie
Rules
12 972×accelerator-lowering-fma.f32
12 972×accelerator-lowering-fma.f64
3 732×*-lowering-*.f32
3 732×*-lowering-*.f64
2 414×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040153
1150150
2492150
32200150
46855130
01115
12515
26215
312915
428815
561515
6149213
7345813
8781413
0828712
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
Outputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal -1/2 binary64) #s(literal 0 binary64)))
Call 2
Inputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2))
(/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2))
(/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2))
(neg (/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2)))
(neg (/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2)))
(neg (/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2)))
(/ (- (+ (* y y) (* x x)) (* z z)) (* x 2))
(/ (- (+ (* z z) (* y y)) (* x x)) (* y 2))
(/ (- (+ (* x x) (* z z)) (* y y)) (* z 2))
Outputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2))
(* (- (/ (- (* z z) (* x x)) y) y) 1/2)
(/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(neg (/ (- (+ (* (neg x) (neg x)) (* y y)) (* z z)) (* y 2)))
(* (- (/ (- (* z z) (* x x)) y) y) 1/2)
(neg (/ (- (+ (* x x) (* (neg y) (neg y))) (* z z)) (* (neg y) 2)))
(* (- (/ (- (* z z) (* x x)) y) y) -1/2)
(neg (/ (- (+ (* x x) (* y y)) (* (neg z) (neg z))) (* y 2)))
(* (- (/ (- (* z z) (* x x)) y) y) 1/2)
(/ (- (+ (* y y) (* x x)) (* z z)) (* x 2))
(/ (+ x (/ (- (* y y) (* z z)) x)) 2)
(/ (- (+ (* z z) (* y y)) (* x x)) (* y 2))
(/ (+ y (/ (- (* z z) (* x x)) y)) 2)
(/ (- (+ (* x x) (* z z)) (* y y)) (* z 2))
(/ (+ z (/ (- (* x x) (* y y)) z)) 2)
Symmetry

(abs x)

(abs z)

(negabs y)

explain131.0ms (1.1%)

Memory
-17.5MiB live, 286.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
710-1(9.470051440337847e-162 1.6799171477714827e-292 3.19754858019651e-166)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
320-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))o/n680
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow143
↳(*.f64 y y)overflow70
↳(*.f64 x x)overflow70
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow117
↳(*.f64 z z)overflow58
-.f64(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))nan-rescue320
↳(*.f64 y y)overflow70
↳(*.f64 x x)overflow70
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow117
↳(*.f64 z z)overflow58
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))u/n20
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))underflow2
↳(*.f64 y y)underflow58
↳(*.f64 x x)underflow70
↳(+.f64 (*.f64 x x) (*.f64 y y))underflow12
↳(*.f64 z z)underflow74
Confusion
Predicted +Predicted -
+871
-0168
Precision
1.0
Recall
0.9886363636363636
Confusion?
Predicted +Predicted MaybePredicted -
+8701
-00168
Precision?
1.0
Recall?
0.9886363636363636
Freqs
test
numberfreq
0169
172
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (55.8% of total)
ival-div: 4.0ms (18.6% of total)
ival-sub: 2.0ms (9.3% of total)
ival-add: 2.0ms (9.3% 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify398.0ms (3.4%)

Memory
6.5MiB live, 719.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x x)
✓cost-diff192
(+.f64 (*.f64 x x) (*.f64 y y))
✓cost-diff192
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓cost-diff192
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Rules
12 972×accelerator-lowering-fma.f32
12 972×accelerator-lowering-fma.f64
3 732×*-lowering-*.f32
3 732×*-lowering-*.f64
2 414×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
12549
26249
312949
428849
561549
6149247
7345847
8781447
0828744
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(- (+ (* x x) (* y y)) (* z z))
(+ (* x x) (* y y))
(* x x)
x
(* y y)
y
(* z z)
z
(* y 2)
2
Outputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(- (+ (* x x) (* y y)) (* z z))
(fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) #s(literal 0 binary64)))
(+ (* x x) (* y y))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(* y 2)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize47.0ms (0.4%)

Memory
12.4MiB live, 51.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy89.1%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy74.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Samples
36.0ms256×0valid
Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 19.0ms (68.1% of total)
ival-mult: 6.0ms (21.5% of total)
ival-div: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-16.8MiB live, 21.1MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))>
#<alt (- (+ (* x x) (* y y)) (* z z))>
#<alt (+ (* x x) (* y y))>
#<alt (* x x)>
#<alt (* y 2)>
Outputs
#<alt (* 1/2 (/ (- (pow y 2) (pow z 2)) y))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (- (pow x 2) (pow z 2)) y))>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))>
#<alt (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (- (pow y 2) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))>
#<alt (- (pow x 2) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (- (+ (pow x 2) (pow y 2)) (pow z 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms
x
@0
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms
y
@-inf
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms
z
@0
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms
y
@0
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

rewrite380.0ms (3.3%)

Memory
-5.4MiB live, 707.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 846×*-lowering-*.f32
5 846×*-lowering-*.f64
5 096×accelerator-lowering-fma.f32
5 096×accelerator-lowering-fma.f64
4 708×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
16139
256239
0827236
Stop Event
1×iter limit
1×node limit
Counts
5 → 536
Calls
Call 1
Inputs
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
(- (+ (* x x) (* y y)) (* z z))
(+ (* x x) (* y y))
(* x x)
(* y 2)
Outputs
(+.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 z z) (*.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y #s(literal -2 binary64)))))
(+.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(+.f64 (/.f64 (*.f64 z z) (*.f64 y #s(literal -2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 x x (*.f64 y y))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))

simplify436.0ms (3.7%)

Memory
17.9MiB live, 421.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 488×accelerator-lowering-fma.f32
7 488×accelerator-lowering-fma.f64
4 760×*-lowering-*.f32
4 760×*-lowering-*.f64
1 680×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721164
11981164
25681078
321801064
460351040
08166954
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(- (pow x 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/.f64 (*.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y))
(* -1/2 (/ (pow z 2) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y))
(- (pow y 2) (pow z 2))
(*.f64 (+.f64 y z) (-.f64 y z))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(- (pow x 2) (pow z 2))
(*.f64 (+.f64 z x) (-.f64 x z))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 (+.f64 z x) (-.f64 x z)))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 z (*.f64 z (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 z (*.f64 z (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 z (*.f64 z (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 z (*.f64 z (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 z (*.f64 z (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 z (*.f64 z (fma.f64 y (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))

eval77.0ms (0.7%)

Memory
9.2MiB live, 154.1MiB allocated
Compiler

Compiled 27 129 to 1 632 computations (94% saved)

prune84.0ms (0.7%)

Memory
-0.9MiB live, 201.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6497656
Fresh000
Picked101
Done000
Total6507657
Accuracy
100.0%
Counts
657 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
▶33.1%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
22.6%
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶26.7%
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
▶72.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
58.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
▶38.0%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 244 to 138 computations (43.4% saved)

simplify375.0ms (3.2%)

Memory
6.6MiB live, 653.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff-64
(*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 z z #s(literal 0 binary64))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 x (/.f64 x y) y)
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(/.f64 (-.f64 x z) y)
✓cost-diff0
(+.f64 z x)
✓cost-diff0
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
Rules
18 026×accelerator-lowering-fma.f32
18 026×accelerator-lowering-fma.f64
2 742×+-lowering-+.f64
2 742×+-lowering-+.f32
2 422×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027103
162103
2142103
3345103
4983103
52381103
64830103
0821599
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
1/2
(+ (* (+ z x) (/ (- x z) y)) y)
(+ z x)
z
x
(/ (- x z) y)
(- x z)
y
0
(* 1/2 y)
1/2
y
(* 1/2 (+ (* x (/ x y)) y))
1/2
(+ (* x (/ x y)) y)
x
(/ x y)
y
(/ (* (+ (* z z) 0) -1/2) y)
(* (+ (* z z) 0) -1/2)
(+ (* z z) 0)
z
0
-1/2
y
(/ (+ (* x x) 0) (* y 2))
(+ (* x x) 0)
x
0
(* y 2)
y
2
Outputs
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* (+ z x) (/ (- x z) y)) y)
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(+ z x)
(+.f64 z x)
z
x
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(- x z)
(-.f64 x z)
y
0
#s(literal 0 binary64)
(* 1/2 y)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
y
(* 1/2 (+ (* x (/ x y)) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x (/ x y)) y)
(fma.f64 x (/.f64 x y) y)
x
(/ x y)
(/.f64 x y)
y
(/ (* (+ (* z z) 0) -1/2) y)
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64))
(* (+ (* z z) 0) -1/2)
(fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* z z) 0)
(fma.f64 z z #s(literal 0 binary64))
z
0
#s(literal 0 binary64)
-1/2
#s(literal -1/2 binary64)
y
(/ (+ (* x x) 0) (* y 2))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)

localize75.0ms (0.6%)

Memory
-2.4MiB live, 122.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy87.0%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 z z #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64))
✓accuracy88.7%
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓accuracy99.9%
(fma.f64 x (/.f64 x y) y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(+.f64 z x)
✓accuracy100.0%
(/.f64 (-.f64 x z) y)
✓accuracy99.9%
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
Samples
43.0ms256×0valid
Compiler

Compiled 107 to 29 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (43.3% of total)
ival-div: 7.0ms (25.3% of total)
ival-add: 7.0ms (25.3% of total)
ival-sub: 1.0ms (3.6% of total)
exact: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
0.5MiB live, 38.9MiB allocated
Counts
15 → 336
Calls
Call 1
Inputs
#<alt (+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)>
#<alt (+ (* (+ z x) (/ (- x z) y)) y)>
#<alt (+ z x)>
#<alt (/ (- x z) y)>
#<alt (* 1/2 y)>
#<alt (+ (* x (/ x y)) y)>
#<alt (/ x y)>
#<alt (* 1/2 (+ (* x (/ x y)) y))>
#<alt (/ (* (+ (* z z) 0) -1/2) y)>
#<alt (+ (* z z) 0)>
#<alt (* (+ (* z z) 0) -1/2)>
#<alt (+ (* x x) 0)>
#<alt (* y 2)>
#<alt (/ (+ (* x x) 0) (* y 2))>
#<alt (- x z)>
Outputs
#<alt (* 1/2 (+ y (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (+ y (* -1 (/ (pow z 2) y))))>
#<alt (+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))>
#<alt (/ (* (+ x z) (- x z)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt (/ (+ (* (+ x z) (- x z)) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (/ z y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) 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)>
#<alt y>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (+ y (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt (/ (+ (pow x 2) (pow y 2)) y)>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* y (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
Calls

84 calls:

TimeVariablePointExpression
9.0ms
y
@inf
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
3.0ms
x
@inf
(+ (* x (/ x y)) y)
1.0ms
z
@-inf
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
1.0ms
y
@0
(/ (* (+ (* z z) 0) -1/2) y)
1.0ms
y
@0
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)

rewrite455.0ms (3.9%)

Memory
-12.1MiB live, 651.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 158×accelerator-lowering-fma.f32
6 158×accelerator-lowering-fma.f64
4 578×/-lowering-/.f32
4 578×/-lowering-/.f64
4 520×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02785
116685
2168785
0836281
Stop Event
1×iter limit
1×node limit
Counts
15 → 880
Calls
Call 1
Inputs
(+ (* 1/2 (+ (* (+ z x) (/ (- x z) y)) y)) 0)
(+ (* (+ z x) (/ (- x z) y)) y)
(+ z x)
(/ (- x z) y)
(* 1/2 y)
(+ (* x (/ x y)) y)
(/ x y)
(* 1/2 (+ (* x (/ x y)) y))
(/ (* (+ (* z z) 0) -1/2) y)
(+ (* z z) 0)
(* (+ (* z z) 0) -1/2)
(+ (* x x) 0)
(* y 2)
(/ (+ (* x x) 0) (* y 2))
(- x z)
Outputs
(+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))
(fma.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (*.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 z x)) (*.f64 (+.f64 z x) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))) (-.f64 x z)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 z z (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 z x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 z x)) (fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z x)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z x)) (*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 z x)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z x))))))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))) (-.f64 x z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x))
(*.f64 (/.f64 (+.f64 z x) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))))
(*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(*.f64 (/.f64 (-.f64 x z) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))))
(*.f64 (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z x))))

simplify672.0ms (5.8%)

Memory
-105.4MiB live, 721.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 556×accelerator-lowering-fma.f32
13 556×accelerator-lowering-fma.f64
3 968×*-lowering-*.f32
3 968×*-lowering-*.f64
3 282×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292796
17372570
225832456
082962374
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
y
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) 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)
y
(+ y (/ (pow x 2) y))
(+ y (/ (pow x 2) y))
(+ y (/ (pow x 2) y))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ (pow x 2) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
y
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
y
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(* 1/2 (+ y (/ (pow x 2) y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
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(*.f64 x (fma.f64 x (/.f64 y (*.f64 x x)) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(*.f64 x (fma.f64 x (/.f64 y (*.f64 x x)) (/.f64 x y)))
(/ (pow x 2) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(/ (+ (pow x 2) (pow y 2)) y)
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(/ (+ (pow x 2) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(/ (+ (pow x 2) (pow y 2)) y)
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y
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
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(* y (+ 1 (/ (pow x 2) (pow y 2))))
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y
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 y (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 y (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(* 1/2 y)
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y) #s(literal 0 binary64))
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(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
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(* 1/2 (/ (pow x 2) y))
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(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))))
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(*.f64 #s(literal 1/2 binary64) y)
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(* -1/2 (/ (pow z 2) y))
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(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
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(* -1/2 (/ (pow z 2) y))
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(* -1/2 (/ (pow z 2) y))
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(* -1/2 (/ (pow z 2) y))
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(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
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(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
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(* -1/2 (pow z 2))
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(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
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(pow x 2)
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(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
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(* 2 y)
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(* 2 y)
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(* 2 y)
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(* 2 y)
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(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
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(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
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(* 1/2 (/ (pow x 2) y))
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(* 1/2 (/ (pow x 2) y))
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(* 1/2 (/ (pow x 2) y))
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(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(* x (+ 1 (* -1 (/ z x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
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x
(* -1 (* x (- (/ z x) 1)))
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(* -1 (* x (- (/ z x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
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(+ x (* -1 z))
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(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(* z (- (/ x z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(* z (- (/ x z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))

eval206.0ms (1.8%)

Memory
26.6MiB live, 325.1MiB allocated
Compiler

Compiled 32 222 to 2 741 computations (91.5% saved)

prune281.0ms (2.4%)

Memory
-22.7MiB live, 317.6MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1 204121 216
Fresh202
Picked325
Done000
Total1 209141 223
Accuracy
100.0%
Counts
1 223 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(fma.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) #s(literal 0 binary64))
28.5%
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
78.2%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
▶58.8%
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
▶26.7%
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
33.1%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64)))
11.6%
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y #s(literal 2 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64))))
▶36.3%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
28.5%
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
▶85.5%
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
▶36.2%
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
72.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
✓72.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓38.0%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 333 to 218 computations (34.5% saved)

simplify375.0ms (3.2%)

Memory
14.6MiB live, 531.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(/.f64 (*.f64 z z) y)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(-.f64 y (/.f64 (*.f64 z z) y))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 (*.f64 z z) #s(literal -1/2 binary64))
✓cost-diff-64
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
✓cost-diff0
(*.f64 z z)
✓cost-diff-64
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff-64
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y))
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64))
✓cost-diff640
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
Rules
11 744×accelerator-lowering-fma.f32
11 744×accelerator-lowering-fma.f64
4 524×*-lowering-*.f32
4 524×*-lowering-*.f64
2 504×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027139
170139
2173139
3571137
42110135
54224135
08088133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))
y
(+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2)
(+ x z)
x
z
(/ (* 1/2 (- x z)) (* y y))
(* 1/2 (- x z))
1/2
(- x z)
(* y y)
(* x (* x (/ 1/2 y)))
x
(* x (/ 1/2 y))
(/ 1/2 y)
1/2
y
(* (/ x y) (* x 1/2))
(/ x y)
x
y
(* x 1/2)
1/2
(/ (* (* z z) -1/2) y)
(* (* z z) -1/2)
(* z z)
z
-1/2
y
(+ (* 1/2 (- y (/ (* z z) y))) 0)
1/2
(- y (/ (* z z) y))
y
(/ (* z z) y)
(* z z)
z
0
Outputs
(* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
y
(+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2)
(fma.f64 (fma.f64 (+.f64 x z) (-.f64 x z) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(+ x z)
(+.f64 x z)
x
z
(/ (* 1/2 (- x z)) (* y y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x z) #s(literal 0 binary64)) (*.f64 y y))
(* 1/2 (- x z))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x z) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(- x z)
(-.f64 x z)
(* y y)
(*.f64 y y)
(* x (* x (/ 1/2 y)))
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
x
(* x (/ 1/2 y))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(* (/ x y) (* x 1/2))
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(/ x y)
(/.f64 x y)
x
y
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(/ (* (* z z) -1/2) y)
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* z z) -1/2)
(*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)))
(* z z)
(*.f64 z z)
z
-1/2
#s(literal -1/2 binary64)
y
(+ (* 1/2 (- y (/ (* z z) y))) 0)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y)) y) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(- y (/ (* z z) y))
(fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y)) y)
y
(/ (* z z) y)
(fma.f64 z (/.f64 z y) #s(literal 0 binary64))
(* z z)
(*.f64 z z)
z
0
#s(literal 0 binary64)

localize82.0ms (0.7%)

Memory
8.4MiB live, 167.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(-.f64 y (/.f64 (*.f64 z z) y))
✓accuracy88.7%
(/.f64 (*.f64 z z) y)
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 (*.f64 z z) #s(literal -1/2 binary64))
✓accuracy88.7%
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy99.8%
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
✓accuracy99.6%
(fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64))
✓accuracy92.3%
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
✓accuracy88.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y))
Samples
49.0ms256×0valid
Compiler

Compiled 140 to 29 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 15.0ms (50.6% of total)
ival-div: 8.0ms (27% of total)
ival-add: 4.0ms (13.5% of total)
ival-sub: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
4.7MiB live, 46.2MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
#<alt (* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))>
#<alt (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2)>
#<alt (+ x z)>
#<alt (/ (* 1/2 (- x z)) (* y y))>
#<alt (* x (* x (/ 1/2 y)))>
#<alt (/ 1/2 y)>
#<alt (* x (/ 1/2 y))>
#<alt (* (/ x y) (* x 1/2))>
#<alt (/ x y)>
#<alt (* x 1/2)>
#<alt (* z z)>
#<alt (/ (* (* z z) -1/2) y)>
#<alt (* (* z z) -1/2)>
#<alt (+ (* 1/2 (- y (/ (* z z) y))) 0)>
#<alt (- y (/ (* z z) y))>
#<alt (/ (* z z) y)>
#<alt (* 1/2 (- x z))>
Outputs
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))>
#<alt (+ (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y)))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))>
#<alt (+ (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y)))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (+ (* 1/2 (/ 1 y)) (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (+ (* 1/2 (/ 1 y)) (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) (pow x 2)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) x)) (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) x)) (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) x)) (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))))>
#<alt (+ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))>
#<alt (+ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y))))>
#<alt (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* 1/2 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* x (+ (* 1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* 1/2 (/ x (pow y 2)))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* x (+ (* 1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* 1/2 (/ x (pow y 2)))))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))))>
#<alt (* 1/2 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))) x)) (* -1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) x)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))) x)) (* -1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) x)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1/2 (+ (* 1/2 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* z (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* z (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))>
#<alt (* -1/2 (/ (pow z 2) (pow y 2)))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* 1/2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1/2 (pow z 2)))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* 1/2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1/2 (pow z 2)))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1/2 (/ (pow z 2) (pow y 2)))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) z)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) z)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))>
#<alt (/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1/2 (/ z (pow y 2)))>
#<alt (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))>
#<alt (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))>
#<alt (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* x (+ (* -1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ x (pow y 2)))>
#<alt (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))>
#<alt (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))>
#<alt (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))>
#<alt (* -1/2 (/ z (pow y 2)))>
#<alt (* z (- (* 1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (* 1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (* 1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1/2 (/ z (pow y 2)))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (- x z) (pow y 2)))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 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)>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<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 (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (pow z 2))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* 1/2 y)>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt y>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt y>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ z x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ z x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ z x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ z x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ z x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ z x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (* -1/2 z)>
#<alt (* z (- (* 1/2 (/ x z)) 1/2))>
#<alt (* z (- (* 1/2 (/ x z)) 1/2))>
#<alt (* z (- (* 1/2 (/ x z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))>
Calls

99 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(+ (* 1/2 (- y (/ (* z z) y))) 0)
4.0ms
y
@0
(/ (* 1/2 (- x z)) (* y y))
1.0ms
x
@0
(* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))
1.0ms
y
@0
(* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))
1.0ms
z
@0
(* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))

rewrite386.0ms (3.3%)

Memory
-20.1MiB live, 616.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
4 356×accelerator-lowering-fma.f32
4 356×accelerator-lowering-fma.f64
4 240×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027113
1155113
21265113
08390111
Stop Event
1×iter limit
1×node limit
Counts
17 → 787
Calls
Call 1
Inputs
(* y (+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2))
(+ (* (+ x z) (/ (* 1/2 (- x z)) (* y y))) 1/2)
(+ x z)
(/ (* 1/2 (- x z)) (* y y))
(* x (* x (/ 1/2 y)))
(/ 1/2 y)
(* x (/ 1/2 y))
(* (/ x y) (* x 1/2))
(/ x y)
(* x 1/2)
(* z z)
(/ (* (* z z) -1/2) y)
(* (* z z) -1/2)
(+ (* 1/2 (- y (/ (* z z) y))) 0)
(- y (/ (* z z) y))
(/ (* z z) y)
(* 1/2 (- x z))
Outputs
(+.f64 (*.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (+.f64 x z) y)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (+.f64 x z) y)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 #s(literal -1/2 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 #s(literal -1/2 binary64) y))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (+.f64 x z) y)))
(fma.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x z) (*.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (+.f64 x z) y)))
(fma.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (+.f64 x z) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) y (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (+.f64 x z)) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) (+.f64 x z) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) y) (/.f64 y y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) y) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (+.f64 x z) y)) (*.f64 y #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal -1/2 binary64)) (*.f64 y y)) (*.f64 (+.f64 x z) #s(literal 1/2 binary64))))) (*.f64 y (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) (*.f64 y (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal -1/2 binary64)) (*.f64 y y)) (*.f64 (+.f64 x z) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/8 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) (*.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64)) y)))
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(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 (+.f64 x z) (+.f64 x z)))

simplify568.0ms (4.9%)

Memory
15.1MiB live, 987.4MiB allocated
Algorithm
1×egg-herbie
Rules
20 344×accelerator-lowering-fma.f32
20 344×accelerator-lowering-fma.f64
5 320×*-lowering-*.f32
5 320×*-lowering-*.f64
4 712×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02453735
17833517
228543268
086763152
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))
(+ (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y)))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))
(+ (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y)))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (+ (* 1/2 (/ 1 y)) (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (+ (* 1/2 (/ 1 y)) (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) (pow x 2)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) x)) (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) x)) (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) x)) (* 1/2 (/ 1 y))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))))
(+ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
(+ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y))))
(+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))
(+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* 1/2 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))))
(+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* x (+ (* 1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* 1/2 (/ x (pow y 2)))))))
(+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* x (+ (* 1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* 1/2 (/ x (pow y 2)))))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))) x)) (* -1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))) x)) (* -1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) x)) (* 1/2 (/ 1 (pow y 2)))))
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))
(+ 1/2 (+ (* 1/2 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* 1/2 (/ (pow x 2) (pow y 2)))))
(+ 1/2 (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* z (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
(+ 1/2 (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* z (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
(* -1/2 (/ (pow z 2) (pow y 2)))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* 1/2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1/2 (pow z 2)))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* 1/2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1/2 (pow z 2)))) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ (pow z 2) (pow y 2)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) z)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) z)) (* 1/2 (/ 1 (pow y 2)))))
(* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))
1/2
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
1/2
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1/2 (/ z (pow y 2)))
(+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))
(+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))
(+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))
(* 1/2 (/ x (pow y 2)))
(* x (+ (* -1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2)))))
(* x (+ (* -1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2)))))
(* x (+ (* -1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2)))))
(* 1/2 (/ x (pow y 2)))
(* -1 (* x (- (* 1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2))))))
(* -1 (* x (- (* 1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2))))))
(* -1 (* x (- (* 1/2 (/ z (* x (pow y 2)))) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ x (pow y 2)))
(+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))
(+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))
(+ (* -1/2 (/ z (pow y 2))) (* 1/2 (/ x (pow y 2))))
(* -1/2 (/ z (pow y 2)))
(* z (- (* 1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2)))))
(* z (- (* 1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2)))))
(* z (- (* 1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ z (pow y 2)))
(* -1 (* z (+ (* -1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2))))))
(* -1 (* z (+ (* -1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2))))))
(* -1 (* z (+ (* -1/2 (/ x (* (pow y 2) z))) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (- x z) (pow y 2)))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 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)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (pow z 2))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* 1/2 y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
y
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
y
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(* -1/2 z)
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ z x))))
(* x (+ 1/2 (* -1/2 (/ z x))))
(* x (+ 1/2 (* -1/2 (/ z x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(* -1/2 z)
(* z (- (* 1/2 (/ x z)) 1/2))
(* z (- (* 1/2 (/ x z)) 1/2))
(* z (- (* 1/2 (/ x z)) 1/2))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
Outputs
(* 1/2 (/ (* (+ x z) (- x z)) y))
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
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(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/2 binary64)))
(* -1/2 (/ (pow z 2) y))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z (*.f64 z #s(literal -1/2 binary64)))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z (*.f64 z #s(literal -1/2 binary64)))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 z (*.f64 z #s(literal -1/2 binary64)))) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1/2 (/ (pow z 2) y))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)) z) z)
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)) z) z)
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)) z) z)
(* -1/2 (/ (pow z 2) y))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)) z) z)
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)) z) z)
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y)) z) z)
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))
(/ (- (pow y 2) (pow z 2)) y)
(-.f64 y (/.f64 (*.f64 z z) y))
(/ (- (pow y 2) (pow z 2)) y)
(-.f64 y (/.f64 (*.f64 z z) y))
(/ (- (pow y 2) (pow z 2)) y)
(-.f64 y (/.f64 (*.f64 z z) y))
y
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) y)
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) y)
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) y)
y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) y)
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) y)
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) y)
y
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ z x))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ z x))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ z x))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 z x) #s(literal -1/2 binary64))))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 z x) #s(literal -1/2 binary64))))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 z x) #s(literal -1/2 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* z (- (* 1/2 (/ x z)) 1/2))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) #s(literal -1/2 binary64)))
(* z (- (* 1/2 (/ x z)) 1/2))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) #s(literal -1/2 binary64)))
(* z (- (* 1/2 (/ x z)) 1/2))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) #s(literal -1/2 binary64)))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) #s(literal 1/2 binary64))))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) #s(literal 1/2 binary64))))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) #s(literal 1/2 binary64))))

eval214.0ms (1.8%)

Memory
5.2MiB live, 264.5MiB allocated
Compiler

Compiled 28 255 to 2 387 computations (91.6% saved)

prune127.0ms (1.1%)

Memory
-11.6MiB live, 268.7MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1 20371 210
Fresh707
Picked235
Done022
Total1 212121 224
Accuracy
100.0%
Counts
1 224 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.3%
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
✓26.7%
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
▶33.1%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
▶36.2%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/2 binary64))))
✓36.3%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
▶63.3%
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
▶28.5%
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
60.2%
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)))
✓36.2%
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓72.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓38.0%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 219 to 151 computations (31.1% saved)

simplify586.0ms (5%)

Memory
28.3MiB live, 785.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 y x)
✓cost-diff320
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
✓cost-diff-64
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y)
✓cost-diff0
(+.f64 x z)
✓cost-diff-64
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff-64
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
✓cost-diff-64
(*.f64 z #s(literal -1/2 binary64))
✓cost-diff-64
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
✓cost-diff0
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
✓cost-diff-64
(*.f64 (/.f64 z y) z)
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(-.f64 y (*.f64 (/.f64 z y) z))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
Rules
21 940×accelerator-lowering-fma.f32
21 940×accelerator-lowering-fma.f64
3 852×*-lowering-*.f32
3 852×*-lowering-*.f64
1 974×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024113
158113
2125113
3295113
4658113
51604113
63664113
77796113
08195113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* 1/2 (- y (* (/ z y) z))) 0)
1/2
(- y (* (/ z y) z))
y
(* (/ z y) z)
(/ z y)
z
0
(* z (/ (* z -1/2) y))
z
(/ (* z -1/2) y)
(* z -1/2)
-1/2
y
(/ (* x (* x 1/2)) y)
(* x (* x 1/2))
x
(* x 1/2)
1/2
y
(* (+ x z) (/ (* 1/2 (- x z)) y))
(+ x z)
x
z
(/ (* 1/2 (- x z)) y)
(* 1/2 (- x z))
1/2
(- x z)
y
(/ (* x 1/2) (/ y x))
(* x 1/2)
x
1/2
(/ y x)
y
Outputs
(+ (* 1/2 (- y (* (/ z y) z))) 0)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (fma.f64 z (/.f64 z y) #s(literal 0 binary64))) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(- y (* (/ z y) z))
(-.f64 y (fma.f64 z (/.f64 z y) #s(literal 0 binary64)))
y
(* (/ z y) z)
(fma.f64 z (/.f64 z y) #s(literal 0 binary64))
(/ z y)
(/.f64 z y)
z
0
#s(literal 0 binary64)
(* z (/ (* z -1/2) y))
(fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
z
(/ (* z -1/2) y)
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64))
(* z -1/2)
(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
y
(/ (* x (* x 1/2)) y)
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* x (* x 1/2))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x 1/2)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
y
(* (+ x z) (/ (* 1/2 (- x z)) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ x z)
(+.f64 z x)
x
z
(/ (* 1/2 (- x z)) y)
(fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* 1/2 (- x z))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x z) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(- x z)
(-.f64 x z)
y
(/ (* x 1/2) (/ y x))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* x 1/2)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
(/ y x)
(/.f64 y x)
y

localize141.0ms (1.2%)

Memory
15.8MiB live, 167.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
✓accuracy100.0%
(+.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y)
✓accuracy99.8%
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy87.0%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
✓accuracy100.0%
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
✓accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
✓accuracy99.8%
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(-.f64 y (*.f64 (/.f64 z y) z))
✓accuracy99.8%
(*.f64 (/.f64 z y) z)
Samples
79.0ms256×0valid
Compiler

Compiled 116 to 26 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (42.2% of total)
ival-div: 10.0ms (38.4% of total)
ival-sub: 2.0ms (7.7% of total)
ival-add: 2.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-6.0MiB live, 33.3MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
#<alt (+ (* 1/2 (- y (* (/ z y) z))) 0)>
#<alt (- y (* (/ z y) z))>
#<alt (/ z y)>
#<alt (* (/ z y) z)>
#<alt (/ (* z -1/2) y)>
#<alt (* z (/ (* z -1/2) y))>
#<alt (* z -1/2)>
#<alt (/ (* x (* x 1/2)) y)>
#<alt (* x (* x 1/2))>
#<alt (* x 1/2)>
#<alt (+ x z)>
#<alt (/ (* 1/2 (- x z)) y)>
#<alt (- x z)>
#<alt (* (+ x z) (/ (* 1/2 (- x z)) y))>
#<alt (/ (* x 1/2) (/ y x))>
#<alt (/ y x)>
#<alt (* 1/2 (- x z))>
Outputs
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))>
#<alt (* 1/2 y)>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt (/ (- (pow y 2) (pow z 2)) y)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt y>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))>
#<alt y>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (+ y (* -1 (/ (pow z 2) y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<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 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 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 z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1/2 (/ z y))>
#<alt (+ (* -1/2 (/ z y)) (* 1/2 (/ x y)))>
#<alt (+ (* -1/2 (/ z y)) (* 1/2 (/ x y)))>
#<alt (+ (* -1/2 (/ z y)) (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ x y))>
#<alt (+ (* -1/2 (/ z y)) (* 1/2 (/ x y)))>
#<alt (+ (* -1/2 (/ z y)) (* 1/2 (/ x y)))>
#<alt (+ (* -1/2 (/ z y)) (* 1/2 (/ x y)))>
#<alt (* -1/2 (/ z y))>
#<alt (* z (- (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))>
#<alt (* z (- (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))>
#<alt (* z (- (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* 1/2 (/ (- x z) y))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (* (+ x z) (- x z)) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ z x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ z x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ z x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ z x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ z x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ z x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (+ (* -1/2 z) (* 1/2 x))>
#<alt (* -1/2 z)>
#<alt (* z (- (* 1/2 (/ x z)) 1/2))>
#<alt (* z (- (* 1/2 (/ x z)) 1/2))>
#<alt (* z (- (* 1/2 (/ x z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))>
Calls

99 calls:

TimeVariablePointExpression
19.0ms
z
@-inf
(/ z y)
0.0ms
y
@inf
(* z (/ (* z -1/2) y))
0.0ms
y
@inf
(* (+ x z) (/ (* 1/2 (- x z)) y))
0.0ms
z
@inf
(/ z y)
0.0ms
y
@-inf
(/ z y)

rewrite585.0ms (5%)

Memory
-13.8MiB live, 402.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 820×*-lowering-*.f32
5 820×*-lowering-*.f64
5 104×accelerator-lowering-fma.f32
5 104×accelerator-lowering-fma.f64
3 844×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02493
113293
2102693
0856293
Stop Event
1×iter limit
1×node limit
Counts
17 → 1 137
Calls
Call 1
Inputs
(+ (* 1/2 (- y (* (/ z y) z))) 0)
(- y (* (/ z y) z))
(/ z y)
(* (/ z y) z)
(/ (* z -1/2) y)
(* z (/ (* z -1/2) y))
(* z -1/2)
(/ (* x (* x 1/2)) y)
(* x (* x 1/2))
(* x 1/2)
(+ x z)
(/ (* 1/2 (- x z)) y)
(- x z)
(* (+ x z) (/ (* 1/2 (- x z)) y))
(/ (* x 1/2) (/ y x))
(/ y x)
(* 1/2 (- x z))
Outputs
(+.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) #s(literal 0 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y))) (-.f64 y (/.f64 (*.f64 z z) y))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(fma.f64 y #s(literal 1/2 binary64) (fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)))
(fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 z y) (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z y) (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) (*.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 z y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) z (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) z (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 z y) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z z) y) (fma.f64 z (/.f64 z y) y) (*.f64 y y))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 y (/.f64 (*.f64 z z) y))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z #s(literal -1/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 z y) y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z (*.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 z (*.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) #s(literal -1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y))) #s(literal -1/4 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y))) #s(literal -1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y)))) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (-.f64 y (/.f64 (*.f64 z z) y))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) y) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) y) (-.f64 #s(literal 0 binary64) z) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z z) y) (fma.f64 z (/.f64 z y) y) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 z y) y)) #s(literal 0 binary64))
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 z x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x z)))))
(/.f64 (*.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (+.f64 z x))
(/.f64 (*.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 z x))) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
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(/.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (fma.f64 z (+.f64 z x) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))) (-.f64 x z))) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x z)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z #s(literal -1/2 binary64))))))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
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(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 z x))
(*.f64 (-.f64 x z) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x z)))
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 z x)))
(*.f64 (-.f64 z x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 z x)))
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(*.f64 (/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)))) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x z) (+.f64 z x)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)))) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) #s(literal 1 binary64)) (/.f64 (+.f64 z x) (+.f64 z x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (fma.f64 z (-.f64 z x) (*.f64 x x)))

simplify565.0ms (4.9%)

Memory
-21.4MiB live, 529.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 524×accelerator-lowering-fma.f32
10 524×accelerator-lowering-fma.f64
4 270×*-lowering-*.f32
4 270×*-lowering-*.f64
1 498×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772622
15562574
217942336
353802336
081132306
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
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(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
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(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* 1/2 y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
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(* -1/2 (/ (pow z 2) y))
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(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
(/ (- (pow y 2) (pow z 2)) y)
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(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
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y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
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(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(/ z y)
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(/ (pow z 2) y)
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(* -1/2 (/ z y))
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(* x (+ (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))
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(* -1 (* x (- (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1/2 z)
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ z x))))
(* x (+ 1/2 (* -1/2 (/ z x))))
(* x (+ 1/2 (* -1/2 (/ z x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(+ (* -1/2 z) (* 1/2 x))
(* -1/2 z)
(* z (- (* 1/2 (/ x z)) 1/2))
(* z (- (* 1/2 (/ x z)) 1/2))
(* z (- (* 1/2 (/ x z)) 1/2))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
Outputs
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z z))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z z))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z z))) y)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y))))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1/2 binary64) y))))
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(/ (- (pow y 2) (pow z 2)) y)
(-.f64 y (*.f64 z (/.f64 z y)))
(/ (- (pow y 2) (pow z 2)) y)
(-.f64 y (*.f64 z (/.f64 z y)))
(/ (- (pow y 2) (pow z 2)) y)
(-.f64 y (*.f64 z (/.f64 z y)))
y
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(-.f64 y (*.f64 z (/.f64 z y)))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(-.f64 y (*.f64 z (/.f64 z y)))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(-.f64 y (*.f64 z (/.f64 z y)))
y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(-.f64 y (*.f64 z (/.f64 z y)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(-.f64 y (*.f64 z (/.f64 z y)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(-.f64 y (*.f64 z (/.f64 z y)))
y
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (*.f64 z (/.f64 z y)))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (*.f64 z (/.f64 z y)))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (*.f64 z (/.f64 z y)))
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) y)))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ z y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 (/ (pow z 2) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)) #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 (/ (pow x 2) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ z x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* x (+ 1/2 (* -1/2 (/ z x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* x (+ 1/2 (* -1/2 (/ z x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1 (* x (- (* 1/2 (/ z x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(+ (* -1/2 z) (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* z (- (* 1/2 (/ x z)) 1/2))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* z (- (* 1/2 (/ x z)) 1/2))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* z (- (* 1/2 (/ x z)) 1/2))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1/2 z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 0 binary64))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))
(* -1 (* z (+ 1/2 (* -1/2 (/ x z)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x z))

eval259.0ms (2.2%)

Memory
31.6MiB live, 276.9MiB allocated
Compiler

Compiled 30 544 to 2 724 computations (91.1% saved)

prune270.0ms (2.3%)

Memory
-28.0MiB live, 284.7MiB allocated
Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New1 55811 559
Fresh022
Picked055
Done055
Total1 558131 571
Accuracy
100.0%
Counts
1 571 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.3%
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
✓26.7%
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
✓33.1%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
✓36.2%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/2 binary64))))
✓36.3%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
58.8%
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
✓63.3%
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
✓28.5%
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
60.2%
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)))
✓36.2%
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓72.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
✓38.0%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 460 to 197 computations (57.2% saved)

regimes51.0ms (0.4%)

Memory
24.9MiB live, 102.8MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
(fma.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (*.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y #s(literal 2 binary64))) (/.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
Calls

6 calls:

9.0ms
y
9.0ms
(*.f64 x x)
8.0ms
z
8.0ms
x
7.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
99.9%1(*.f64 x x)
99.9%1(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes59.0ms (0.5%)

Memory
11.1MiB live, 50.8MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
(fma.f64 (+.f64 x z) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) #s(literal 0 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
Calls

6 calls:

28.0ms
(*.f64 x x)
6.0ms
x
6.0ms
y
6.0ms
z
6.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
89.4%2x
88.0%2y
95.1%2z
98.8%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
89.4%2(*.f64 x x)
95.1%2(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory
-48.8MiB live, 15.3MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 0 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))
Calls

3 calls:

5.0ms
z
5.0ms
(*.f64 z z)
5.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
89.2%2z
89.2%2(*.f64 z z)
96.4%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes5.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))
Outputs
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.6%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes26.0ms (0.2%)

Memory
-8.0MiB live, 30.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) y)
Outputs
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
Calls

6 calls:

10.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(*.f64 z z)
3.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.0%2y
60.8%5z
57.5%4(*.f64 z z)
59.8%3x
57.7%2(*.f64 x x)
70.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
Outputs
(*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
70.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
Outputs
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
70.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
Outputs
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
Calls

3 calls:

2.0ms
x
2.0ms
y
1.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.0%2y
57.7%2x
47.5%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes22.0ms (0.2%)

Memory
-22.5MiB live, 16.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

15.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
1.0ms
y
1.0ms
z
1.0ms
x
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
38.0%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
38.0%1(*.f64 z z)
38.0%1z
38.0%1x
38.0%1(*.f64 x x)
38.0%1y
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-1.740163914193596e-128
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-1.740163914193596e-128
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.740163914193596e-128
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.157403266588403e+131
1.3570734300181127e+151
0.0ms
-1.740163914193596e-128
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.157403266588403e+131
1.3570734300181127e+151
0.0ms
-1.740163914193596e-128
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.157403266588403e+131
1.3570734300181127e+151
0.0ms
-1.740163914193596e-128
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch14.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.942399693877591e-5
0.01586615986301376
Samples
8.0ms128×0valid
Compiler

Compiled 165 to 129 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (60.8% of total)
ival-sub: 1.0ms (20.3% of total)
ival-div: 1.0ms (20.3% of total)
ival-add: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify35.0ms (0.3%)

Memory
-19.0MiB live, 19.0MiB allocated
Algorithm
1×egg-herbie
Rules
34×*-commutative_binary64
20×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059342
187342
2107342
3117342
4123342
5124342
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal 1116892707587883/72057594037927936 binary64)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (-.f64 x z) y) y) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999964810222003828927255651411459878102920729845474234710326307605131083839756396848139016427897362399480444693392654336 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal 1116892707587883/72057594037927936 binary64)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

soundness936.0ms (8%)

Memory
56.4MiB live, 713.9MiB allocated
Rules
13 556×accelerator-lowering-fma.f32
13 556×accelerator-lowering-fma.f64
7 488×accelerator-lowering-fma.f32
7 488×accelerator-lowering-fma.f64
6 158×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027113
1155113
21265113
08390111
02785
116685
2168785
0836281
02292796
17372570
225832456
082962374
0721164
11981164
25681078
321801064
460351040
08166954
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 657 to 279 computations (57.5% saved)

preprocess77.0ms (0.7%)

Memory
-1.8MiB live, 192.2MiB allocated
Remove

(negabs y)

(abs x)

Compiler

Compiled 908 to 242 computations (73.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...