Optimisation.CirclePacking:place from circle-packing-0.1.0.4, B

Time bar (total: 8.9s)

analyze75.0ms (0.8%)

Memory
6.5MiB live, 165.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
75%74.9%25%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.3s (14.8%)

Memory
13.9MiB live, 1 162.1MiB allocated
Samples
816.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 358.0ms
ival-div: 135.0ms (37.7% of total)
ival-mult: 107.0ms (29.9% of total)
ival-add: 66.0ms (18.4% of total)
ival-sub: 37.0ms (10.3% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess289.0ms (3.2%)

Memory
-13.1MiB live, 226.3MiB allocated
Algorithm
2×egg-herbie
Rules
2 832×accelerator-lowering-fma.f32
2 832×accelerator-lowering-fma.f64
1 502×div-sub
1 498×sub-neg
1 298×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047146
1171135
2512135
31660135
45365135
57699135
099
1209
2449
3799
41629
52969
65829
713679
827349
947119
1050689
1151129
1251209
1351209
1455129
1556809
1656809
1756809
056809
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (- (+ x y) z) (* t 2))
Outputs
(/ (- (+ x y) z) (* t 2))
(fma.f64 (+.f64 x (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
Call 2
Inputs
(/ (- (+ x y) z) (* t 2))
(/ (- (+ (neg x) y) z) (* t 2))
(/ (- (+ x (neg y)) z) (* t 2))
(/ (- (+ x y) (neg z)) (* t 2))
(/ (- (+ x y) z) (* (neg t) 2))
(neg (/ (- (+ (neg x) y) z) (* t 2)))
(neg (/ (- (+ x (neg y)) z) (* t 2)))
(neg (/ (- (+ x y) (neg z)) (* t 2)))
(neg (/ (- (+ x y) z) (* (neg t) 2)))
(/ (- (+ y x) z) (* t 2))
(/ (- (+ z y) x) (* t 2))
(/ (- (+ t y) z) (* x 2))
(/ (- (+ x z) y) (* t 2))
(/ (- (+ x t) z) (* y 2))
(/ (- (+ x y) t) (* z 2))
Outputs
(/ (- (+ x y) z) (* t 2))
(/ (+ x (- y z)) (* t 2))
(/ (- (+ (neg x) y) z) (* t 2))
(/ (* (- (- y x) z) 1/2) t)
(/ (- (+ x (neg y)) z) (* t 2))
(/ (* (- (- x y) z) 1/2) t)
(/ (- (+ x y) (neg z)) (* t 2))
(/ (+ x (+ y z)) (* t 2))
(/ (- (+ x y) z) (* (neg t) 2))
(/ (+ x (- y z)) (* t -2))
(neg (/ (- (+ (neg x) y) z) (* t 2)))
(/ (* (- (- y x) z) -1/2) t)
(neg (/ (- (+ x (neg y)) z) (* t 2)))
(/ (* (+ z (- y x)) 1/2) t)
(neg (/ (- (+ x y) (neg z)) (* t 2)))
(/ (+ x (+ y z)) (* t -2))
(neg (/ (- (+ x y) z) (* (neg t) 2)))
(/ (+ x (- y z)) (* t 2))
(/ (- (+ y x) z) (* t 2))
(/ (+ x (- y z)) (* t 2))
(/ (- (+ z y) x) (* t 2))
(/ (* (+ z (- y x)) 1/2) t)
(/ (- (+ t y) z) (* x 2))
(/ (+ y (- t z)) (* x 2))
(/ (- (+ x z) y) (* t 2))
(/ (* (- (- y x) z) -1/2) t)
(/ (- (+ x t) z) (* y 2))
(/ (+ x (- t z)) (* y 2))
(/ (- (+ x y) t) (* z 2))
(/ (+ x (- y t)) (* z 2))
Symmetry

(negabs t)

(sort x y)

explain94.0ms (1.1%)

Memory
-6.0MiB live, 251.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 t #s(literal 2 binary64))
00-0-(-.f64 (+.f64 x y) z)
00-0-t
00-0-z
00-0-(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
43.0ms512×0valid
Compiler

Compiled 80 to 40 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 3.0ms (23.4% of total)
ival-div: 3.0ms (23.4% of total)
ival-add: 3.0ms (23.4% of total)
ival-mult: 3.0ms (23.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify227.0ms (2.5%)

Memory
19.9MiB live, 217.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 t #s(literal 2 binary64))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 (+.f64 x y) z)
✓cost-diff0
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Rules
2 832×accelerator-lowering-fma.f32
2 832×accelerator-lowering-fma.f64
1 502×div-sub
1 104×*-lowering-*.f32
1 104×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
12025
24425
37925
416225
529625
658225
7136725
8273425
9471125
10506825
11511225
12512025
13512025
14551225
15568025
16568025
17568025
0568025
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- (+ x y) z) (* t 2))
(- (+ x y) z)
(+ x y)
x
y
z
(* t 2)
t
2
Outputs
(/ (- (+ x y) z) (* t 2))
(fma.f64 (+.f64 x (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
(- (+ x y) z)
(+.f64 x (-.f64 y z))
(+ x y)
(+.f64 x y)
x
y
z
(* t 2)
(fma.f64 t #s(literal 2 binary64) #s(literal 0 binary64))
t
2
#s(literal 2 binary64)

localize25.0ms (0.3%)

Memory
-27.1MiB live, 53.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 t #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 (+.f64 x y) z)
✓accuracy100.0%
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Samples
17.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.4% of total)
ival-add: 2.0ms (31.4% of total)
ival-sub: 1.0ms (15.7% of total)
ival-mult: 1.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (/ (- (+ x y) z) (* t 2))>
#<alt (- (+ x y) z)>
#<alt (+ x y)>
#<alt (* t 2)>
Outputs
#<alt (* 1/2 (/ (- y z) t))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))>
#<alt (* 1/2 (/ x t))>
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ x t))>
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))>
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))>
#<alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))>
#<alt (* 1/2 (/ y t))>
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ y t))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))>
#<alt (* -1/2 (/ z t))>
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (* 1/2 (/ (- (+ x y) z) t))>
#<alt (- y z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (- x z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
Calls

30 calls:

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

rewrite371.0ms (4.2%)

Memory
-6.5MiB live, 618.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
4 338×/-lowering-/.f32
4 338×/-lowering-/.f64
3 708×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
15320
246920
3778820
0822720
Stop Event
1×iter limit
1×node limit
Counts
4 → 505
Calls
Call 1
Inputs
(/ (- (+ x y) z) (* t 2))
(- (+ x y) z)
(+ x y)
(* t 2)
Outputs
(+.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))
(+.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)))
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 t #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (-.f64 y z)) (*.f64 t #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x (-.f64 y z)) (*.f64 t #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))) (*.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))))))
(-.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 t (*.f64 #s(literal 2 binary64) (+.f64 x (+.f64 y z))))) (/.f64 (*.f64 z z) (*.f64 t (*.f64 #s(literal 2 binary64) (+.f64 x (+.f64 y z))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) t) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (/.f64 (*.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 t t))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))))) (/.f64 (*.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z)))) (/.f64 (/.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
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(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64)))
(neg.f64 (*.f64 t #s(literal -2 binary64)))
(/.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64)))
(*.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 t #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))

simplify375.0ms (4.2%)

Memory
34.3MiB live, 550.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 612×accelerator-lowering-fma.f32
7 612×accelerator-lowering-fma.f64
3 776×*-lowering-*.f32
3 776×*-lowering-*.f64
2 500×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103728
1314728
2876728
32929650
47509650
08709650
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* 1/2 (/ x t))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* 1/2 (/ y t))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(* 1/2 (/ (- (+ x y) z) t))
(- y z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
Outputs
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- x z) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (+ x y) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1/2 (/ z t))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1/2 (/ z t))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t) #s(literal 0 binary64))
(- y z)
(-.f64 y z)
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(+.f64 y (-.f64 x z))
(* x (- (+ 1 (/ y x)) (/ z x)))
(+.f64 y (-.f64 x z))
(* x (- (+ 1 (/ y x)) (/ z x)))
(+.f64 y (-.f64 x z))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(+.f64 y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(+.f64 y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(+.f64 y (-.f64 x z))
(- x z)
(-.f64 x z)
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(+.f64 y (-.f64 x z))
(* y (- (+ 1 (/ x y)) (/ z y)))
(+.f64 y (-.f64 x z))
(* y (- (+ 1 (/ x y)) (/ z y)))
(+.f64 y (-.f64 x z))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(+.f64 y (-.f64 x z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(+.f64 y (-.f64 x z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(+.f64 y (-.f64 x z))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(+.f64 y (-.f64 x z))
(* z (- (+ (/ x z) (/ y z)) 1))
(+.f64 y (-.f64 x z))
(* z (- (+ (/ x z) (/ y z)) 1))
(+.f64 y (-.f64 x z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(+.f64 y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(+.f64 y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(+.f64 y (-.f64 x z))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))

eval72.0ms (0.8%)

Memory
-8.6MiB live, 185.5MiB allocated
Compiler

Compiled 16 008 to 1 472 computations (90.8% saved)

prune127.0ms (1.4%)

Memory
-26.9MiB live, 205.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6178625
Fresh000
Picked101
Done000
Total6188626
Accuracy
100.0%
Counts
626 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.9%
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
69.3%
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶72.7%
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
66.0%
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
▶39.6%
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
34.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
▶37.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶99.6%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))
Compiler

Compiled 182 to 134 computations (26.4% saved)

simplify223.0ms (2.5%)

Memory
11.7MiB live, 200.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z (*.f64 t #s(literal -2 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) t)
✓cost-diff896
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓cost-diff-64
(*.f64 t #s(literal 2 binary64))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓cost-diff-64
(*.f64 z #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 z (+.f64 x y))
✓cost-diff0
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))
Rules
2 976×accelerator-lowering-fma.f32
2 976×accelerator-lowering-fma.f64
1 314×div-sub
1 248×*-lowering-*.f32
1 248×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026113
158113
2102109
3202109
4507109
51404109
63959109
75224109
85737109
95784109
105793109
115795109
126301109
136545109
146545109
156545109
06545109
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (* t (/ -2 (- z (+ x y)))))
1
(* t (/ -2 (- z (+ x y))))
t
(/ -2 (- z (+ x y)))
-2
(- z (+ x y))
z
(+ x y)
x
y
(/ (* 1/2 x) t)
(* 1/2 x)
1/2
x
t
(/ (* z -1/2) t)
(* z -1/2)
z
-1/2
t
(/ (- x z) (* t 2))
(- x z)
x
z
(* t 2)
t
2
(+ (* (/ (+ x y) t) 1/2) (/ z (* t -2)))
(/ (+ x y) t)
(+ x y)
x
y
t
1/2
(/ z (* t -2))
z
(* t -2)
-2
Outputs
(/ 1 (* t (/ -2 (- z (+ x y)))))
(fma.f64 (-.f64 z (+.f64 x y)) (/.f64 #s(literal -1/2 binary64) t) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(* t (/ -2 (- z (+ x y))))
(fma.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) #s(literal 0 binary64))
t
(/ -2 (- z (+ x y)))
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))
-2
#s(literal -2 binary64)
(- z (+ x y))
(-.f64 z (+.f64 x y))
z
(+ x y)
(+.f64 x y)
x
y
(/ (* 1/2 x) t)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
x
t
(/ (* z -1/2) t)
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) #s(literal 0 binary64))
(* z -1/2)
(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
z
-1/2
#s(literal -1/2 binary64)
t
(/ (- x z) (* t 2))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
(- x z)
(-.f64 x z)
x
z
(* t 2)
(fma.f64 t #s(literal 2 binary64) #s(literal 0 binary64))
t
2
#s(literal 2 binary64)
(+ (* (/ (+ x y) t) 1/2) (/ z (* t -2)))
(fma.f64 (-.f64 z (+.f64 x y)) (/.f64 #s(literal -1/2 binary64) t) #s(literal 0 binary64))
(/ (+ x y) t)
(/.f64 (+.f64 x y) t)
(+ x y)
(+.f64 x y)
x
y
t
1/2
#s(literal 1/2 binary64)
(/ z (* t -2))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) #s(literal 0 binary64))
z
(* t -2)
(fma.f64 t #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)

localize80.0ms (0.9%)

Memory
10.5MiB live, 164.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 t #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x y) t)
✓accuracy95.5%
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(*.f64 t #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(-.f64 z (+.f64 x y))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))
✓accuracy99.7%
(*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))
Samples
54.0ms256×0valid
Compiler

Compiled 116 to 28 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 11.0ms (37.7% of total)
ival-mult: 8.0ms (27.4% of total)
ival-add: 7.0ms (24% of total)
ival-sub: 2.0ms (6.9% of total)
exact: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-12.7MiB live, 104.9MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#<alt (/ 1 (* t (/ -2 (- z (+ x y)))))>
#<alt (/ -2 (- z (+ x y)))>
#<alt (- z (+ x y))>
#<alt (+ x y)>
#<alt (/ (* 1/2 x) t)>
#<alt (* 1/2 x)>
#<alt (/ (* z -1/2) t)>
#<alt (* z -1/2)>
#<alt (/ (- x z) (* t 2))>
#<alt (- x z)>
#<alt (* t 2)>
#<alt (+ (* (/ (+ x y) t) 1/2) (/ z (* t -2)))>
#<alt (/ (+ x y) t)>
#<alt (/ z (* t -2))>
#<alt (* t (/ -2 (- z (+ x y))))>
#<alt (* t -2)>
Outputs
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* -1/2 (/ (- z (+ x y)) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))>
#<alt (* -1/2 (/ z t))>
#<alt (* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))>
#<alt (* -1/2 (/ (- z y) t))>
#<alt (+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t)))>
#<alt (* 1/2 (/ x t))>
#<alt (* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ x t))>
#<alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))>
#<alt (* -1/2 (/ (- z x) t))>
#<alt (+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t)))>
#<alt (+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t)))>
#<alt (+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t)))>
#<alt (* 1/2 (/ y t))>
#<alt (* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ y t))>
#<alt (* -1 (* y (- (* 1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* 1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* 1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t)))))>
#<alt (/ 2 (+ x y))>
#<alt (+ (* 2 (/ z (pow (+ x y) 2))) (* 2 (/ 1 (+ x y))))>
#<alt (+ (* z (+ (* 2 (/ z (pow (+ x y) 3))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y))))>
#<alt (+ (* z (+ (* z (+ (* 2 (/ z (pow (+ x y) 4))) (* 2 (/ 1 (pow (+ x y) 3))))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y))))>
#<alt (/ -2 z)>
#<alt (/ (- (* -2 (/ (+ x y) z)) 2) z)>
#<alt (/ (- (* -2 (/ (pow (+ x y) 2) (pow z 2))) (+ 2 (* 2 (/ (+ x y) z)))) z)>
#<alt (/ (- (* -2 (/ (pow (+ x y) 3) (pow z 3))) (+ 2 (+ (* 2 (/ (+ x y) z)) (* 2 (/ (pow (+ x y) 2) (pow z 2)))))) z)>
#<alt (/ -2 z)>
#<alt (* -1 (/ (+ 2 (* 2 (/ (+ x y) z))) z))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow (+ x y) 2) z)) (* 2 (+ x y))) z))) z))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (+ x y) 3) z)) (* -2 (pow (+ x y) 2))) z)) (* 2 (+ x y))) z))) z))>
#<alt (/ -2 (- z y))>
#<alt (- (* -2 (/ x (pow (- z y) 2))) (* 2 (/ 1 (- z y))))>
#<alt (- (* x (- (* -2 (/ x (pow (- z y) 3))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y))))>
#<alt (- (* x (- (* x (- (* -2 (/ x (pow (- z y) 4))) (* 2 (/ 1 (pow (- z y) 3))))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ (- z y) x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow (- z y) 2) (pow x 2)))) (* -2 (/ (- z y) x))) x)>
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#<alt (/ 2 x)>
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#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z y) 2) x)) (* -2 (- z y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z y) 3) x)) (* 2 (pow (- z y) 2))) x)) (* -2 (- z y))) x)) 2) x))>
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#<alt (- (* -2 (/ y (pow (- z x) 2))) (* 2 (/ 1 (- z x))))>
#<alt (- (* y (- (* -2 (/ y (pow (- z x) 3))) (* 2 (/ 1 (pow (- z x) 2))))) (* 2 (/ 1 (- z x))))>
#<alt (- (* y (- (* y (- (* -2 (/ y (pow (- z x) 4))) (* 2 (/ 1 (pow (- z x) 3))))) (* 2 (/ 1 (pow (- z x) 2))))) (* 2 (/ 1 (- z x))))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z x) 3) y)) (* 2 (pow (- z x) 2))) y)) (* -2 (- z x))) y)) 2) y))>
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#<alt (* x (- (/ z x) (+ 1 (/ y x))))>
#<alt (* x (- (/ z x) (+ 1 (/ y x))))>
#<alt (* -1 x)>
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#<alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x)))))>
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#<alt (* 1/2 x)>
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#<alt (* 1/2 x)>
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#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
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#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
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#<alt (* -1 z)>
#<alt (- x z)>
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#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
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#<alt x>
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#<alt x>
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#<alt (* -1 z)>
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#<alt (* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))>
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#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t)))))>
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#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t)))))>
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#<alt (/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)>
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#<alt (* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (/ y t)>
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#<alt (* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))>
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#<alt (/ x t)>
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#<alt (* y (+ (/ 1 t) (/ x (* t y))))>
#<alt (* y (+ (/ 1 t) (/ x (* t y))))>
#<alt (/ y t)>
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#<alt (* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))>
#<alt (* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))>
#<alt (/ (+ x y) t)>
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#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* -2 (/ t (- z (+ x y))))>
#<alt (* 2 (/ t (+ x y)))>
#<alt (+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2))))>
#<alt (+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3))))))>
#<alt (+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4))))))))>
#<alt (* -2 (/ t z))>
#<alt (/ (+ (* -2 t) (* -2 (/ (* t (+ x y)) z))) z)>
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#<alt (/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (+ (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))) (* -2 (/ (* t (pow (+ x y) 3)) (pow z 3)))))) z)>
#<alt (* -2 (/ t z))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -1 (/ (+ (* 2 (* t (pow (+ x y) 2))) (* 2 (/ (* t (pow (+ x y) 3)) z))) z))) z)) (* 2 t)) z))>
#<alt (* -2 (/ t (- z y)))>
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#<alt (+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* -2 (/ (* t x) (pow (- z y) 3))))))>
#<alt (+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* x (+ (* -2 (/ t (pow (- z y) 3))) (* -2 (/ (* t x) (pow (- z y) 4))))))))>
#<alt (* 2 (/ t x))>
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#<alt (* 2 (/ t x))>
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#<alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z y))) (* 2 (/ (* t (pow (- z y) 2)) x))) x))) x))>
#<alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z y) 2))) (* -2 (/ (* t (pow (- z y) 3)) x))) x)) (* 2 (* t (- z y)))) x))) x))>
#<alt (* -2 (/ t (- z x)))>
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#<alt (+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* -2 (/ (* t y) (pow (- z x) 3))))))>
#<alt (+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* y (+ (* -2 (/ t (pow (- z x) 3))) (* -2 (/ (* t y) (pow (- z x) 4))))))))>
#<alt (* 2 (/ t y))>
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#<alt (/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))))) y)>
#<alt (/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (+ (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))) (* 2 (/ (* t (pow (- z x) 3)) (pow y 3)))))) y)>
#<alt (* 2 (/ t y))>
#<alt (* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z x)) y))) y))>
#<alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z x))) (* 2 (/ (* t (pow (- z x) 2)) y))) y))) y))>
#<alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z x) 2))) (* -2 (/ (* t (pow (- z x) 3)) y))) y)) (* 2 (* t (- z x)))) y))) y))>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
Calls

114 calls:

TimeVariablePointExpression
10.0ms
x
@0
(* t (/ -2 (- z (+ x y))))
3.0ms
x
@0
(/ (* 1/2 x) t)
2.0ms
z
@inf
(/ (- x z) (* t 2))
2.0ms
t
@0
(/ 1 (* t (/ -2 (- z (+ x y)))))
2.0ms
t
@-inf
(/ 1 (* t (/ -2 (- z (+ x y)))))

rewrite456.0ms (5.1%)

Memory
4.2MiB live, 712.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 634×/-lowering-/.f32
5 634×/-lowering-/.f64
4 814×*-lowering-*.f32
4 814×*-lowering-*.f64
2 932×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02690
114688
2125788
0847087
Stop Event
1×iter limit
1×node limit
Counts
16 → 979
Calls
Call 1
Inputs
(/ 1 (* t (/ -2 (- z (+ x y)))))
(/ -2 (- z (+ x y)))
(- z (+ x y))
(+ x y)
(/ (* 1/2 x) t)
(* 1/2 x)
(/ (* z -1/2) t)
(* z -1/2)
(/ (- x z) (* t 2))
(- x z)
(* t 2)
(+ (* (/ (+ x y) t) 1/2) (/ z (* t -2)))
(/ (+ x y) t)
(/ z (* t -2))
(* t (/ -2 (- z (+ x y))))
(* t -2)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 x y) #s(literal -2 binary64)) t))
(-.f64 (/.f64 (/.f64 (-.f64 z x) #s(literal -2 binary64)) t) (/.f64 (/.f64 y #s(literal -2 binary64)) t))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) (/.f64 #s(literal 1 binary64) t)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 z (+.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 z (+.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) t)
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))
(/.f64 (/.f64 #s(literal -1/2 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) t)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t))) (neg.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))))
(pow.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 z (+.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 x y))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 x y))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y))) t) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 t (-.f64 z (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 z (+.f64 x y))))))
(*.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 x y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(*.f64 (pow.f64 (/.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y)))) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))))) (/.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))))) (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))))) (/.f64 (/.f64 #s(literal -1/2 binary64) t) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))))) (/.f64 (/.f64 #s(literal -1/2 binary64) t) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))))) (/.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))))) (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 z (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 x y)))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 x y))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y)))) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y)))) (+.f64 z (+.f64 x y)))
(+.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z)
(+.f64 (-.f64 z x) (neg.f64 y))
(-.f64 z (+.f64 x y))
(-.f64 (-.f64 z x) y)
(-.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))) (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(-.f64 (/.f64 (*.f64 z z) (+.f64 z (+.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 z (+.f64 x y))))
(-.f64 (-.f64 z y) x)
(-.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 (-.f64 z x) (-.f64 z x) (fma.f64 y y (*.f64 (-.f64 z x) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (-.f64 z x) (-.f64 z x) (fma.f64 y y (*.f64 (-.f64 z x) y)))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (+.f64 (-.f64 z x) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 z x) y)))
(fma.f64 #s(literal -1 binary64) (+.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (+.f64 x y)) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z (+.f64 x y)) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))))))
(/.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)))
(/.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))) (fma.f64 z z (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))) (+.f64 z (+.f64 x y)))
(/.f64 (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))) (-.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y)))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y)))) (neg.f64 (+.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y)))) (neg.f64 (-.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (-.f64 z x))) (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 z x) (-.f64 z x) (fma.f64 y y (*.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (*.f64 y y)) (+.f64 (-.f64 z x) y))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z (+.f64 x y))) (*.f64 (+.f64 z (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (+.f64 z (+.f64 x y)) (+.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))))) (neg.f64 (neg.f64 (+.f64 z (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (-.f64 z x))) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 z x) (-.f64 z x) (fma.f64 y y (*.f64 (-.f64 z x) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 z x) y)))
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 z (+.f64 x y)) (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z)) (-.f64 z (+.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 z (+.f64 x y)) (*.f64 z z))))
(*.f64 (*.f64 (+.f64 z (+.f64 x y)) (-.f64 z (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y))))
(+.f64 x y)
(+.f64 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x)))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 #s(literal -1/2 binary64) (/.f64 x t)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x t)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 x #s(literal 1/2 binary64))))
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(*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))

simplify770.0ms (8.6%)

Memory
9.7MiB live, 574.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 324×accelerator-lowering-fma.f32
9 324×accelerator-lowering-fma.f64
5 906×*-lowering-*.f32
5 906×*-lowering-*.f64
3 690×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06034376
118214278
253314144
083313976
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* -1/2 (/ (- z (+ x y)) t))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))
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(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1/2 (/ (- z y) t))
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(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))
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(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (+ x y) 3) z)) (* -2 (pow (+ x y) 2))) z)) (* 2 (+ x y))) z))) z))
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(* -1 (* z (- (+ (/ x z) (/ y z)) 1)))
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(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(* 1/2 (/ x t))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
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(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
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(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
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(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
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(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (- x z) t))
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(* 1/2 (/ (- x z) t))
(* -1 z)
(- x z)
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x
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(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
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(* -1 (* x (- (/ z x) 1)))
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(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
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(+ x (* -1 z))
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(* z (- (/ x z) 1))
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(* -1 (* z (+ 1 (* -1 (/ x z)))))
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(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))
(* 1/2 (/ x t))
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ x t))
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(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t)))))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
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(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t))))
(* 1/2 (/ y t))
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(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ y t))
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(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t)))))
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
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(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t)
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(+ (/ x t) (/ y t))
(+ (/ x t) (/ y t))
(/ x t)
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(* x (+ (/ 1 t) (/ y (* t x))))
(* x (+ (/ 1 t) (/ y (* t x))))
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(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))
(/ x t)
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(+ (/ x t) (/ y t))
(/ y t)
(* y (+ (/ 1 t) (/ x (* t y))))
(* y (+ (/ 1 t) (/ x (* t y))))
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(* -2 (/ t (- z (+ x y))))
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(* -2 (/ t (- z (+ x y))))
(* -2 (/ t (- z (+ x y))))
(* -2 (/ t (- z (+ x y))))
(* 2 (/ t (+ x y)))
(+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2))))
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3))))))
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4))))))))
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(/ (+ (* -2 t) (* -2 (/ (* t (+ x y)) z))) z)
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))))) z)
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (+ (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))) (* -2 (/ (* t (pow (+ x y) 3)) (pow z 3)))))) z)
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(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -1 (/ (+ (* 2 (* t (pow (+ x y) 2))) (* 2 (/ (* t (pow (+ x y) 3)) z))) z))) z)) (* 2 t)) z))
(* -2 (/ t (- z y)))
(+ (* -2 (/ t (- z y))) (* -2 (/ (* t x) (pow (- z y) 2))))
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* -2 (/ (* t x) (pow (- z y) 3))))))
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* x (+ (* -2 (/ t (pow (- z y) 3))) (* -2 (/ (* t x) (pow (- z y) 4))))))))
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(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))))) x)
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (+ (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))) (* 2 (/ (* t (pow (- z y) 3)) (pow x 3)))))) x)
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(+ (* -2 (/ t (- z x))) (* -2 (/ (* t y) (pow (- z x) 2))))
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* -2 (/ (* t y) (pow (- z x) 3))))))
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(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))))) y)
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (+ (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))) (* 2 (/ (* t (pow (- z x) 3)) (pow y 3)))))) y)
(* 2 (/ t y))
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(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z x))) (* 2 (/ (* t (pow (- z x) 2)) y))) y))) y))
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(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
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(* -2 t)
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Outputs
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* -1/2 (/ (- z (+ x y)) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z (+.f64 x y))) t)
(* 1/2 (/ (+ x y) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t)))
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (/.f64 (+.f64 x y) z) #s(literal -1 binary64))))
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (/.f64 (+.f64 x y) z) #s(literal -1 binary64))))
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (/.f64 (+.f64 x y) z) #s(literal -1 binary64))))
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) z) (/.f64 #s(literal 1/2 binary64) t)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) z) (/.f64 #s(literal 1/2 binary64) t)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) z) (/.f64 #s(literal 1/2 binary64) t)) (-.f64 #s(literal 0 binary64) z))
(* -1/2 (/ (- z y) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z y)) t)
(+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z y) t) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
(+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z y) t) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
(+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z y) t) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
(* 1/2 (/ x t))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z y) (*.f64 x t)) (/.f64 #s(literal 1/2 binary64) t)))
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z y) (*.f64 x t)) (/.f64 #s(literal 1/2 binary64) t)))
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z y) (*.f64 x t)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ x t))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 z y) (*.f64 x t)) (/.f64 #s(literal -1/2 binary64) t))))
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 z y) (*.f64 x t)) (/.f64 #s(literal -1/2 binary64) t))))
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 z y) (*.f64 x t)) (/.f64 #s(literal -1/2 binary64) t))))
(* -1/2 (/ (- z x) t))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) t))
(+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(* 1/2 (/ y t))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) (*.f64 y t)) (/.f64 #s(literal 1/2 binary64) t)))
(* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) (*.f64 y t)) (/.f64 #s(literal 1/2 binary64) t)))
(* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z x) (*.f64 y t)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ y t))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(* -1 (* y (- (* 1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t)))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* -2 (/ t (- z (+ x y))))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z (+.f64 x y)))
(* 2 (/ t (+ x y)))
(*.f64 t (/.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2))))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (+.f64 x y))))
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (*.f64 (+.f64 x y) (+.f64 x y)))) z (/.f64 t (+.f64 x y))))
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4))))))))
(fma.f64 z (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (/.f64 (*.f64 z t) (pow.f64 (+.f64 x y) #s(literal 4 binary64))) z))) (*.f64 t (/.f64 #s(literal 2 binary64) (+.f64 x y))))
(* -2 (/ t z))
(/.f64 (*.f64 t #s(literal -2 binary64)) z)
(/ (+ (* -2 t) (* -2 (/ (* t (+ x y)) z))) z)
(/.f64 (*.f64 t (fma.f64 (+.f64 x y) (/.f64 #s(literal -2 binary64) z) #s(literal -2 binary64))) z)
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))))) z)
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 t (*.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z)) t)) z)
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (+ (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))) (* -2 (/ (* t (pow (+ x y) 3)) (pow z 3)))))) z)
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 t (fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 z z)) (/.f64 (+.f64 x y) z)) t)) z)
(* -2 (/ t z))
(/.f64 (*.f64 t #s(literal -2 binary64)) z)
(* -1 (/ (+ (* 2 t) (* 2 (/ (* t (+ x y)) z))) z))
(/.f64 (*.f64 t (fma.f64 (+.f64 x y) (/.f64 #s(literal -2 binary64) z) #s(literal -2 binary64))) z)
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -2 (/ (* t (pow (+ x y) 2)) z))) z)) (* 2 t)) z))
(/.f64 (fma.f64 t #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (+.f64 (fma.f64 (+.f64 x y) (/.f64 (+.f64 x y) z) x) y))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -1 (/ (+ (* 2 (* t (pow (+ x y) 2))) (* 2 (/ (* t (pow (+ x y) 3)) z))) z))) z)) (* 2 t)) z))
(/.f64 (-.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 x y) (*.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 (+.f64 x y) (+.f64 (fma.f64 (+.f64 x y) (/.f64 (+.f64 x y) z) x) y)))) z)) z)) (-.f64 #s(literal 0 binary64) z))
(* -2 (/ t (- z y)))
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z y))
(+ (* -2 (/ t (- z y))) (* -2 (/ (* t x) (pow (- z y) 2))))
(*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x (-.f64 z y)) #s(literal 1 binary64)) (/.f64 t (-.f64 z y))))
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* -2 (/ (* t x) (pow (- z y) 3))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 z y)) #s(literal 1 binary64)) (/.f64 t (*.f64 (-.f64 z y) (-.f64 z y)))) x (/.f64 t (-.f64 z y))))
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* x (+ (* -2 (/ t (pow (- z y) 3))) (* -2 (/ (* t x) (pow (- z y) 4))))))))
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 x (-.f64 z y)) #s(literal 1 binary64)) (/.f64 t (*.f64 (-.f64 z y) (-.f64 z y))) (*.f64 (/.f64 (*.f64 x t) (pow.f64 (-.f64 z y) #s(literal 4 binary64))) x))) (/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 z y)))
(* 2 (/ t x))
(/.f64 (*.f64 t #s(literal 2 binary64)) x)
(/ (+ (* 2 t) (* 2 (/ (* t (- z y)) x))) x)
(/.f64 (*.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z y) x) #s(literal 2 binary64))) x)
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (+.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) x)) t)) x)
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (+ (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))) (* 2 (/ (* t (pow (- z y) 3)) (pow x 3)))))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (fma.f64 (+.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (/.f64 (-.f64 z y) x)) t)) x)
(* 2 (/ t x))
(/.f64 (*.f64 t #s(literal 2 binary64)) x)
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z y)) x))) x))
(/.f64 (*.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z y) x) #s(literal 2 binary64))) x)
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z y))) (* 2 (/ (* t (pow (- z y) 2)) x))) x))) x))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (fma.f64 (-.f64 z y) (/.f64 (-.f64 z y) x) (-.f64 z y))) x) (*.f64 t #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z y) 2))) (* -2 (/ (* t (pow (- z y) 3)) x))) x)) (* 2 (* t (- z y)))) x))) x))
(/.f64 (-.f64 (*.f64 t #s(literal -2 binary64)) (/.f64 (fma.f64 t (*.f64 (-.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (-.f64 z y) (fma.f64 (-.f64 z y) (/.f64 (-.f64 z y) x) (-.f64 z y))))) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -2 (/ t (- z x)))
(*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z x)))
(+ (* -2 (/ t (- z x))) (* -2 (/ (* t y) (pow (- z x) 2))))
(*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 y (-.f64 z x)) #s(literal 1 binary64)) (/.f64 t (-.f64 z x))))
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* -2 (/ (* t y) (pow (- z x) 3))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 y (-.f64 z x)) #s(literal 1 binary64)) (/.f64 t (*.f64 (-.f64 z x) (-.f64 z x)))) y (/.f64 t (-.f64 z x))))
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* y (+ (* -2 (/ t (pow (- z x) 3))) (* -2 (/ (* t y) (pow (- z x) 4))))))))
(fma.f64 y (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 y (-.f64 z x)) #s(literal 1 binary64)) (/.f64 t (*.f64 (-.f64 z x) (-.f64 z x))) (*.f64 y (/.f64 (*.f64 y t) (pow.f64 (-.f64 z x) #s(literal 4 binary64)))))) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z x))))
(* 2 (/ t y))
(/.f64 (*.f64 t #s(literal 2 binary64)) y)
(/ (+ (* 2 t) (* 2 (/ (* t (- z x)) y))) y)
(/.f64 (*.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))) y)
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))))) y)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (+.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) (/.f64 (-.f64 z x) y)) t)) y)
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (+ (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))) (* 2 (/ (* t (pow (- z x) 3)) (pow y 3)))))) y)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (fma.f64 (+.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (*.f64 y y)) (/.f64 (-.f64 z x) y)) t)) y)
(* 2 (/ t y))
(/.f64 (*.f64 t #s(literal 2 binary64)) y)
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z x)) y))) y))
(/.f64 (*.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))) y)
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z x))) (* 2 (/ (* t (pow (- z x) 2)) y))) y))) y))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (fma.f64 (-.f64 z x) (/.f64 (-.f64 z x) y) (-.f64 z x))) y) (*.f64 t #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z x) 2))) (* -2 (/ (* t (pow (- z x) 3)) y))) y)) (* 2 (* t (- z x)))) y))) y))
(/.f64 (-.f64 (*.f64 t #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 (-.f64 z x) (fma.f64 (-.f64 z x) (/.f64 (-.f64 z x) y) (-.f64 z x)))) y) (*.f64 t (*.f64 (-.f64 z x) #s(literal 2 binary64)))) y)) (-.f64 #s(literal 0 binary64) y))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))

eval486.0ms (5.4%)

Memory
-8.1MiB live, 265.6MiB allocated
Compiler

Compiled 26 075 to 3 231 computations (87.6% saved)

prune596.0ms (6.7%)

Memory
-10.1MiB live, 390.9MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 47841 482
Fresh123
Picked235
Done000
Total1 48191 490
Accuracy
100.0%
Counts
1 490 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
▶69.3%
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓72.7%
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
▶66.0%
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓39.6%
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
▶34.3%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓37.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶72.4%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
▶39.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
Compiler

Compiled 163 to 122 computations (25.2% saved)

simplify236.0ms (2.6%)

Memory
-18.1MiB live, 161.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 t #s(literal 2 binary64))
✓cost-diff0
(-.f64 y z)
✓cost-diff0
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓cost-diff-64
(*.f64 t #s(literal 2 binary64))
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓cost-diff-64
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓cost-diff-64
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) t)
✓cost-diff-64
(*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z)))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 x z))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
Rules
1 968×accelerator-lowering-fma.f32
1 968×accelerator-lowering-fma.f64
1 322×div-sub
1 104×*-lowering-*.f32
1 104×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02185
14585
27883
313883
427783
558483
6122783
7198683
8275183
9370383
10447883
11462883
12463183
13463283
14463283
15467483
16469083
17469083
0469083
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (* t (/ 2 (- x z))))
1
(* t (/ 2 (- x z)))
t
(/ 2 (- x z))
2
(- x z)
x
z
(* (/ -1/2 t) z)
(/ -1/2 t)
-1/2
t
z
(/ (* y 1/2) t)
(* y 1/2)
y
1/2
t
(/ (+ y x) (* t 2))
(+ y x)
y
x
(* t 2)
t
2
(/ (- y z) (* t 2))
(- y z)
y
z
(* t 2)
t
2
Outputs
(/ 1 (* t (/ 2 (- x z))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(* t (/ 2 (- x z)))
(fma.f64 #s(literal 2 binary64) (/.f64 t (-.f64 x z)) #s(literal 0 binary64))
t
(/ 2 (- x z))
(/.f64 #s(literal 2 binary64) (-.f64 x z))
2
#s(literal 2 binary64)
(- x z)
(-.f64 x z)
x
z
(* (/ -1/2 t) z)
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) #s(literal 0 binary64))
(/ -1/2 t)
(/.f64 #s(literal -1/2 binary64) t)
-1/2
#s(literal -1/2 binary64)
t
z
(/ (* y 1/2) t)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
y
1/2
#s(literal 1/2 binary64)
t
(/ (+ y x) (* t 2))
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
(+ y x)
(+.f64 x y)
y
x
(* t 2)
(fma.f64 t #s(literal 2 binary64) #s(literal 0 binary64))
t
2
#s(literal 2 binary64)
(/ (- y z) (* t 2))
(fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t) #s(literal 0 binary64))
(- y z)
(-.f64 y z)
y
z
(* t 2)
(fma.f64 t #s(literal 2 binary64) #s(literal 0 binary64))
t
2
#s(literal 2 binary64)

localize67.0ms (0.7%)

Memory
11.3MiB live, 166.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y z)
✓accuracy100.0%
(*.f64 t #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 y x)
✓accuracy100.0%
(*.f64 t #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) t)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 x z))
✓accuracy99.7%
(*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
Samples
39.0ms256×0valid
Compiler

Compiled 87 to 23 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 9.0ms (43% of total)
ival-mult: 7.0ms (33.4% of total)
ival-sub: 3.0ms (14.3% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
15.3MiB live, 53.9MiB allocated
Counts
13 → 324
Calls
Call 1
Inputs
#<alt (/ 1 (* t (/ 2 (- x z))))>
#<alt (/ 2 (- x z))>
#<alt (- x z)>
#<alt (* t (/ 2 (- x z)))>
#<alt (/ -1/2 t)>
#<alt (* (/ -1/2 t) z)>
#<alt (/ (* y 1/2) t)>
#<alt (* y 1/2)>
#<alt (/ (+ y x) (* t 2))>
#<alt (+ y x)>
#<alt (* t 2)>
#<alt (/ (- y z) (* t 2))>
#<alt (- y z)>
Outputs
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* 1/2 (/ (- x z) t))>
#<alt (* -1/2 (/ z t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (* 1/2 (/ x t))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ x t))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ x t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (* -1/2 (/ z t))>
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (/ -2 z)>
#<alt (- (* -2 (/ x (pow z 2))) (* 2 (/ 1 z)))>
#<alt (- (* x (- (* -2 (/ x (pow z 3))) (* 2 (/ 1 (pow z 2))))) (* 2 (/ 1 z)))>
#<alt (- (* x (- (* x (- (* -2 (/ x (pow z 4))) (* 2 (/ 1 (pow z 3))))) (* 2 (/ 1 (pow z 2))))) (* 2 (/ 1 z)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ z x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow z 2) (pow x 2)))) (* -2 (/ z x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow z 3) (pow x 3)))) (+ (* -2 (/ z x)) (* -2 (/ (pow z 2) (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* -2 (/ z x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow z 2) x)) (* -2 z)) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow z 3) x)) (* 2 (pow z 2))) x)) (* -2 z)) x)) 2) x))>
#<alt (/ 2 x)>
#<alt (+ (* 2 (/ z (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* z (+ (* 2 (/ z (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* z (+ (* z (+ (* 2 (/ z (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ -2 z)>
#<alt (/ (- (* -2 (/ x z)) 2) z)>
#<alt (/ (- (* -2 (/ (pow x 2) (pow z 2))) (+ 2 (* 2 (/ x z)))) z)>
#<alt (/ (- (* -2 (/ (pow x 3) (pow z 3))) (+ 2 (+ (* 2 (/ x z)) (* 2 (/ (pow x 2) (pow z 2)))))) z)>
#<alt (/ -2 z)>
#<alt (* -1 (/ (+ 2 (* 2 (/ x z))) z))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) z)) (* 2 x)) z))) z))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) z)) (* -2 (pow x 2))) z)) (* 2 x)) z))) z))>
#<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 (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* 2 (/ t (- x z)))>
#<alt (* -2 (/ t z))>
#<alt (+ (* -2 (/ t z)) (* -2 (/ (* t x) (pow z 2))))>
#<alt (+ (* -2 (/ t z)) (* x (+ (* -2 (/ t (pow z 2))) (* -2 (/ (* t x) (pow z 3))))))>
#<alt (+ (* -2 (/ t z)) (* x (+ (* -2 (/ t (pow z 2))) (* x (+ (* -2 (/ t (pow z 3))) (* -2 (/ (* t x) (pow z 4))))))))>
#<alt (* 2 (/ t x))>
#<alt (/ (+ (* 2 t) (* 2 (/ (* t z) x))) x)>
#<alt (/ (+ (* 2 t) (+ (* 2 (/ (* t z) x)) (* 2 (/ (* t (pow z 2)) (pow x 2))))) x)>
#<alt (/ (+ (* 2 t) (+ (* 2 (/ (* t z) x)) (+ (* 2 (/ (* t (pow z 2)) (pow x 2))) (* 2 (/ (* t (pow z 3)) (pow x 3)))))) x)>
#<alt (* 2 (/ t x))>
#<alt (* -1 (/ (+ (* -2 t) (* -2 (/ (* t z) x))) x))>
#<alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t z)) (* 2 (/ (* t (pow z 2)) x))) x))) x))>
#<alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow z 2))) (* -2 (/ (* t (pow z 3)) x))) x)) (* 2 (* t z))) x))) x))>
#<alt (* 2 (/ t x))>
#<alt (+ (* 2 (/ t x)) (* 2 (/ (* t z) (pow x 2))))>
#<alt (+ (* 2 (/ t x)) (* z (+ (* 2 (/ t (pow x 2))) (* 2 (/ (* t z) (pow x 3))))))>
#<alt (+ (* 2 (/ t x)) (* z (+ (* 2 (/ t (pow x 2))) (* z (+ (* 2 (/ t (pow x 3))) (* 2 (/ (* t z) (pow x 4))))))))>
#<alt (* -2 (/ t z))>
#<alt (/ (+ (* -2 t) (* -2 (/ (* t x) z))) z)>
#<alt (/ (+ (* -2 t) (+ (* -2 (/ (* t x) z)) (* -2 (/ (* t (pow x 2)) (pow z 2))))) z)>
#<alt (/ (+ (* -2 t) (+ (* -2 (/ (* t x) z)) (+ (* -2 (/ (* t (pow x 2)) (pow z 2))) (* -2 (/ (* t (pow x 3)) (pow z 3)))))) z)>
#<alt (* -2 (/ t z))>
#<alt (* -1 (/ (+ (* 2 t) (* 2 (/ (* t x) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t x)) (* -2 (/ (* t (pow x 2)) z))) z)) (* 2 t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t x)) (* -1 (/ (+ (* 2 (* t (pow x 2))) (* 2 (/ (* t (pow x 3)) z))) z))) z)) (* 2 t)) z))>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (/ -1/2 t)>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1/2 (/ z t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<alt (* 1/2 (/ y t))>
#<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 t))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))>
#<alt (* 1/2 (/ y t))>
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ y t))>
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ y t))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))>
#<alt (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))>
#<alt (* 1/2 (/ x t))>
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ x t))>
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt (* 1/2 (/ (+ x y) t))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* -1/2 (/ z t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))>
#<alt (* 1/2 (/ y t))>
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))>
#<alt (* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ y t))>
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ y t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))>
#<alt (* -1/2 (/ z t))>
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* 1/2 (/ (- y z) t))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
Calls

81 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(/ (* y 1/2) t)
1.0ms
t
@0
(* t (/ 2 (- x z)))
1.0ms
t
@0
(/ (- y z) (* t 2))
1.0ms
t
@0
(/ (* y 1/2) t)
1.0ms
t
@inf
(/ (- y z) (* t 2))

rewrite396.0ms (4.4%)

Memory
-10.8MiB live, 783.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 986×*-lowering-*.f32
4 986×*-lowering-*.f64
4 640×/-lowering-/.f32
4 640×/-lowering-/.f64
3 370×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02163
111561
278961
0862361
Stop Event
1×iter limit
1×node limit
Counts
13 → 1 157
Calls
Call 1
Inputs
(/ 1 (* t (/ 2 (- x z))))
(/ 2 (- x z))
(- x z)
(* t (/ 2 (- x z)))
(/ -1/2 t)
(* (/ -1/2 t) z)
(/ (* y 1/2) t)
(* y 1/2)
(/ (+ y x) (* t 2))
(+ y x)
(* t 2)
(/ (- y z) (* t 2))
(- y z)
Outputs
(+.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 #s(literal 0 binary64) x)) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) t)) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (-.f64 x z) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 x z) #s(literal 1/2 binary64)) t)))
(-.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) (/.f64 z (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) t)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal -1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z #s(literal -2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1/2 binary64) t) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) t) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) z (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (fma.f64 y y (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 z y))
(*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))))
(*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) y)))))
(*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(*.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)))
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z y))))

simplify426.0ms (4.8%)

Memory
47.4MiB live, 707.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 174×accelerator-lowering-fma.f32
9 174×accelerator-lowering-fma.f64
5 554×*-lowering-*.f32
5 554×*-lowering-*.f64
3 790×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03892612
111632550
233292380
082202293
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* 1/2 (/ (- x z) t))
(* -1/2 (/ z t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(* 1/2 (/ x t))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* 1/2 (/ x t))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ x t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(/ -2 z)
(- (* -2 (/ x (pow z 2))) (* 2 (/ 1 z)))
(- (* x (- (* -2 (/ x (pow z 3))) (* 2 (/ 1 (pow z 2))))) (* 2 (/ 1 z)))
(- (* x (- (* x (- (* -2 (/ x (pow z 4))) (* 2 (/ 1 (pow z 3))))) (* 2 (/ 1 (pow z 2))))) (* 2 (/ 1 z)))
(/ 2 x)
(/ (+ 2 (* 2 (/ z x))) x)
(/ (- (+ 2 (* 2 (/ (pow z 2) (pow x 2)))) (* -2 (/ z x))) x)
(/ (- (+ 2 (* 2 (/ (pow z 3) (pow x 3)))) (+ (* -2 (/ z x)) (* -2 (/ (pow z 2) (pow x 2))))) x)
(/ 2 x)
(* -1 (/ (- (* -2 (/ z x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow z 2) x)) (* -2 z)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow z 3) x)) (* 2 (pow z 2))) x)) (* -2 z)) x)) 2) x))
(/ 2 x)
(+ (* 2 (/ z (pow x 2))) (* 2 (/ 1 x)))
(+ (* z (+ (* 2 (/ z (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* z (+ (* z (+ (* 2 (/ z (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 z)
(/ (- (* -2 (/ x z)) 2) z)
(/ (- (* -2 (/ (pow x 2) (pow z 2))) (+ 2 (* 2 (/ x z)))) z)
(/ (- (* -2 (/ (pow x 3) (pow z 3))) (+ 2 (+ (* 2 (/ x z)) (* 2 (/ (pow x 2) (pow z 2)))))) z)
(/ -2 z)
(* -1 (/ (+ 2 (* 2 (/ x z))) z))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) z)) (* 2 x)) z))) z))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) z)) (* -2 (pow x 2))) z)) (* 2 x)) z))) z))
(* -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)))))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* 2 (/ t (- x z)))
(* -2 (/ t z))
(+ (* -2 (/ t z)) (* -2 (/ (* t x) (pow z 2))))
(+ (* -2 (/ t z)) (* x (+ (* -2 (/ t (pow z 2))) (* -2 (/ (* t x) (pow z 3))))))
(+ (* -2 (/ t z)) (* x (+ (* -2 (/ t (pow z 2))) (* x (+ (* -2 (/ t (pow z 3))) (* -2 (/ (* t x) (pow z 4))))))))
(* 2 (/ t x))
(/ (+ (* 2 t) (* 2 (/ (* t z) x))) x)
(/ (+ (* 2 t) (+ (* 2 (/ (* t z) x)) (* 2 (/ (* t (pow z 2)) (pow x 2))))) x)
(/ (+ (* 2 t) (+ (* 2 (/ (* t z) x)) (+ (* 2 (/ (* t (pow z 2)) (pow x 2))) (* 2 (/ (* t (pow z 3)) (pow x 3)))))) x)
(* 2 (/ t x))
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t z) x))) x))
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t z)) (* 2 (/ (* t (pow z 2)) x))) x))) x))
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow z 2))) (* -2 (/ (* t (pow z 3)) x))) x)) (* 2 (* t z))) x))) x))
(* 2 (/ t x))
(+ (* 2 (/ t x)) (* 2 (/ (* t z) (pow x 2))))
(+ (* 2 (/ t x)) (* z (+ (* 2 (/ t (pow x 2))) (* 2 (/ (* t z) (pow x 3))))))
(+ (* 2 (/ t x)) (* z (+ (* 2 (/ t (pow x 2))) (* z (+ (* 2 (/ t (pow x 3))) (* 2 (/ (* t z) (pow x 4))))))))
(* -2 (/ t z))
(/ (+ (* -2 t) (* -2 (/ (* t x) z))) z)
(/ (+ (* -2 t) (+ (* -2 (/ (* t x) z)) (* -2 (/ (* t (pow x 2)) (pow z 2))))) z)
(/ (+ (* -2 t) (+ (* -2 (/ (* t x) z)) (+ (* -2 (/ (* t (pow x 2)) (pow z 2))) (* -2 (/ (* t (pow x 3)) (pow z 3)))))) z)
(* -2 (/ t z))
(* -1 (/ (+ (* 2 t) (* 2 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t x)) (* -2 (/ (* t (pow x 2)) z))) z)) (* 2 t)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t x)) (* -1 (/ (+ (* 2 (* t (pow x 2))) (* 2 (/ (* t (pow x 3)) z))) z))) z)) (* 2 t)) z))
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 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 t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* 1/2 (/ y t))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ y t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(* 1/2 (/ x t))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
(* 1/2 (/ (+ x y) t))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* -1/2 (/ z t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* 1/2 (/ y t))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ y t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ (- x z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t)
(* 1/2 (/ x t))
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(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 (/ x t))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(* 1/2 (/ x t))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ x t))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* -1/2 (/ z t))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) (*.f64 t y)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 t y)) (/.f64 #s(literal -1/2 binary64) t)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 t y)) (/.f64 #s(literal -1/2 binary64) t)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 t y)) (/.f64 #s(literal -1/2 binary64) t)) (-.f64 #s(literal 0 binary64) y))
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* -1/2 (/ z t))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1/2 (/ z t))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z t)) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z t)) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z t)) (/.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* 1/2 (/ (- y z) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))

eval197.0ms (2.2%)

Memory
-3.9MiB live, 431.6MiB allocated
Compiler

Compiled 24 847 to 3 126 computations (87.4% saved)

prune236.0ms (2.6%)

Memory
-37.5MiB live, 393.3MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 50711 508
Fresh101
Picked055
Done033
Total1 50891 517
Accuracy
100.0%
Counts
1 517 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.9%
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
✓69.3%
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓72.7%
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓66.0%
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓39.6%
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓34.3%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓37.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓72.4%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
✓39.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
Compiler

Compiled 96 to 72 computations (25% saved)

simplify4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) t)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
✓cost-diff0
(/.f64 z t)
✓cost-diff0
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22327
32627
42727
02726
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ z t) -1/2) (* x (/ 1/2 t)))
(/ z t)
z
t
-1/2
(* x (/ 1/2 t))
x
(/ 1/2 t)
1/2
Outputs
(+ (* (/ z t) -1/2) (* x (/ 1/2 t)))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) (/.f64 x t)))
(/ z t)
(/.f64 z t)
z
t
-1/2
#s(literal -1/2 binary64)
(* x (/ 1/2 t))
(*.f64 #s(literal 1/2 binary64) (/.f64 x t))
x
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
1/2
#s(literal 1/2 binary64)

localize27.0ms (0.3%)

Memory
2.8MiB live, 41.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 z t)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) t)
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
✓accuracy95.8%
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
Samples
18.0ms256×0valid
Compiler

Compiled 28 to 13 computations (53.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.9% of total)
ival-mult: 4.0ms (41.9% of total)
ival-add: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* (/ z t) -1/2) (* x (/ 1/2 t)))>
#<alt (/ z t)>
#<alt (* x (/ 1/2 t))>
#<alt (/ 1/2 t)>
Outputs
#<alt (* 1/2 (/ x t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (* -1/2 (/ z t))>
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))>
#<alt (* -1/2 (/ z t))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (/ (+ (* -1/2 z) (* 1/2 x)) t)>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))>
#<alt (* -1/2 (/ z t))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))>
#<alt (* 1/2 (/ x t))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))>
#<alt (* 1/2 (/ x t))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (* 1/2 (/ x t))>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
#<alt (/ 1/2 t)>
Calls

24 calls:

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

rewrite335.0ms (3.7%)

Memory
11.0MiB live, 475.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 556×accelerator-lowering-fma.f32
5 556×accelerator-lowering-fma.f64
5 002×*-lowering-*.f32
5 002×*-lowering-*.f64
2 264×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
14322
232422
3554922
0868721
Stop Event
1×iter limit
1×node limit
Counts
4 → 236
Calls
Call 1
Inputs
(+ (* (/ z t) -1/2) (* x (/ 1/2 t)))
(/ z t)
(* x (/ 1/2 t))
(/ 1/2 t)
Outputs
(+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(+.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 z #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 t t)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) t)) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) t)))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 z t) (/.f64 (*.f64 (/.f64 z t) #s(literal 1/4 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 z t) (exp.f64 (log.f64 #s(literal -1/2 binary64))) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) x) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) t)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/2 binary64))) (*.f64 t t)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) t)) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 #s(literal 0 binary64) z) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (exp.f64 (log.f64 x)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) t) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) z (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/2 binary64))) (*.f64 t t)) (/.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (*.f64 (/.f64 z t) #s(literal 1/4 binary64)) (/.f64 (/.f64 z t) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 z #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t)) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) t (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t)) (-.f64 (*.f64 t (*.f64 z #s(literal -1/2 binary64))) (*.f64 t (*.f64 x #s(literal 1/2 binary64))))) (*.f64 t t) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t)) (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t t)))) (fma.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 z #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 t t))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (*.f64 t t)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) #s(literal -1/2 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (exp.f64 (log.f64 (*.f64 z #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 x t))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 t #s(literal -2 binary64))))) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (/.f64 z t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z)) (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 t t))))))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 t t)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) t))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z)) (*.f64 t (*.f64 t t))))) (fma.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 t t)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 t t))) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z)) (*.f64 t (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 z #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 z #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) t) (*.f64 t (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) t) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 z z))) (*.f64 t t))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 t t)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 z #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) t) (*.f64 t (*.f64 x #s(literal 1/2 binary64)))) (*.f64 t t))
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(*.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z t) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 x (*.f64 t #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 t #s(literal 2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 x (*.f64 t #s(literal -2 binary64))))
(/.f64 x (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 t #s(literal -2 binary64)))
(/.f64 (/.f64 x t) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 t #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) t)
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) t)
(/.f64 (exp.f64 (log.f64 x)) (*.f64 t #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) t)
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) t))))
(pow.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) t)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 x t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (exp.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 x t))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 t #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) t))
(neg.f64 (/.f64 #s(literal -1/2 binary64) t))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) t))
(/.f64 #s(literal 1/2 binary64) t)
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 t #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))
(pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify308.0ms (3.4%)

Memory
-10.2MiB live, 270.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 276×accelerator-lowering-fma.f32
5 276×accelerator-lowering-fma.f64
3 252×*-lowering-*.f32
3 252×*-lowering-*.f64
1 380×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042588
1110588
2322588
31005498
43380468
56115468
08057468
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (/ x t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(* -1/2 (/ z t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(* 1/2 (/ x t))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(* 1/2 (/ x t))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(* 1/2 (/ x t))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
Outputs
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1/2 (/ z t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) #s(literal 0 binary64))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* z (- (* 1/2 (/ x (* t z))) (* 1/2 (/ 1 t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1/2 (/ z t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1/2 (/ x (* t z))) (* 1/2 (/ 1 t)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1/2 z) (* 1/2 x)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (/ (+ (* -1/2 x) (* 1/2 z)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1/2 (/ z t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* x (+ (* -1/2 (/ z (* t x))) (* 1/2 (/ 1 t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ z (* t x))) (* 1/2 (/ 1 t)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z) #s(literal 0 binary64))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(* 1/2 (/ x t))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) #s(literal 0 binary64))
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)

eval39.0ms (0.4%)

Memory
17.1MiB live, 92.4MiB allocated
Compiler

Compiled 7 028 to 683 computations (90.3% saved)

prune46.0ms (0.5%)

Memory
0.7MiB live, 80.6MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3320332
Fresh000
Picked011
Done088
Total3329341
Accuracy
100.0%
Counts
341 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.9%
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
✓69.3%
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓72.7%
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓66.0%
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓39.6%
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓34.3%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓37.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓72.4%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
✓39.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
Compiler

Compiled 207 to 118 computations (43% saved)

regimes88.0ms (1%)

Memory
-14.8MiB live, 59.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))))
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

50.0ms
x
10.0ms
(+.f64 x y)
5.0ms
(*.f64 t #s(literal 2 binary64))
5.0ms
t
5.0ms
(-.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
100.0%1(-.f64 (+.f64 x y) z)
100.0%1(+.f64 x y)
100.0%1(*.f64 t #s(literal 2 binary64))
Compiler

Compiled 56 to 42 computations (25% saved)

regimes97.0ms (1.1%)

Memory
1.5MiB live, 39.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

74.0ms
y
3.0ms
(*.f64 t #s(literal 2 binary64))
3.0ms
x
3.0ms
t
3.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
93.2%2x
93.3%2y
92.2%4z
78.3%4t
99.5%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
99.5%2(-.f64 (+.f64 x y) z)
99.5%2(+.f64 x y)
78.3%4(*.f64 t #s(literal 2 binary64))
Compiler

Compiled 56 to 42 computations (25% saved)

regimes15.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
Calls

5 calls:

3.0ms
(-.f64 (+.f64 x y) z)
3.0ms
y
3.0ms
(+.f64 x y)
3.0ms
x
3.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
77.9%2x
90.4%2y
83.7%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
83.2%2(-.f64 (+.f64 x y) z)
90.8%2(+.f64 x y)
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes18.0ms (0.2%)

Memory
-22.1MiB live, 21.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
Calls

5 calls:

7.0ms
y
3.0ms
z
3.0ms
(-.f64 (+.f64 x y) z)
3.0ms
(+.f64 x y)
2.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
66.0%1(-.f64 (+.f64 x y) z)
66.0%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
81.9%3z
73.3%3y
81.2%3(+.f64 x y)
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
Calls

2 calls:

2.0ms
z
2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
81.1%3(+.f64 x y)
66.5%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
81.0%3(+.f64 x y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory
-8.0MiB live, 29.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
Calls

8 calls:

4.0ms
y
2.0ms
(-.f64 (+.f64 x y) z)
2.0ms
z
2.0ms
(+.f64 x y)
2.0ms
(*.f64 t #s(literal 2 binary64))
Results
AccuracySegmentsBranch
59.9%3z
54.2%2(-.f64 (+.f64 x y) z)
53.8%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
50.7%2y
43.9%3t
43.9%3(*.f64 t #s(literal 2 binary64))
61.7%3x
61.3%2(+.f64 x y)
Compiler

Compiled 56 to 42 computations (25% saved)

regimes13.0ms (0.1%)

Memory
-10.7MiB live, 28.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

3.0ms
t
1.0ms
(*.f64 t #s(literal 2 binary64))
1.0ms
y
1.0ms
(+.f64 x y)
1.0ms
(-.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
39.5%1t
39.5%1(*.f64 t #s(literal 2 binary64))
39.5%1y
39.5%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
39.5%1(-.f64 (+.f64 x y) z)
39.5%1z
39.5%1x
39.5%1(+.f64 x y)
Compiler

Compiled 56 to 42 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-6.372239956303376e-202
-2.596338941752593e-262
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
136757502290185490.0
3058655487211032600.0
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch26.0ms (0.3%)

Memory
9.5MiB live, 47.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.3169641247887733e+31
8.499709615809623e+43
9.0ms
-3.652494001822045e+74
-2.1169343263414406e+73
Samples
15.0ms272×0valid
Compiler

Compiled 390 to 305 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.3% of total)
ival-div: 2.0ms (25.5% of total)
ival-sub: 1.0ms (12.8% of total)
ival-add: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
136757502290185490.0
3058655487211032600.0
0.0ms
-5.962929393817369e-13
-1.4564663791874855e-17
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
136757502290185490.0
3058655487211032600.0
0.0ms
-5.962929393817369e-13
-1.4564663791874855e-17
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.962929393817369e-13
-1.4564663791874855e-17
Compiler

Compiled 16 to 16 computations (0% saved)

simplify10.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044143
157143
264143
366143
467143
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -5515652263101987/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
(if (<=.f64 z #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 70000000000000002213544858001278968814108672 binary64)) (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -5515652263101987/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
(if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(if (<=.f64 z #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 70000000000000002213544858001278968814108672 binary64)) (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 z #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 70000000000000002213544858001278968814108672 binary64)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000000 binary64)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(if (<=.f64 (+.f64 x y) #s(literal -4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 z (/.f64 #s(literal -1/2 binary64) t))

soundness603.0ms (6.7%)

Memory
-23.5MiB live, 376.0MiB allocated
Rules
7 612×accelerator-lowering-fma.f32
7 612×accelerator-lowering-fma.f64
5 634×/-lowering-/.f32
5 634×/-lowering-/.f64
4 814×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02690
114688
2125788
0847087
0103728
1314728
2876728
32929650
47509650
08709650
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 321 to 173 computations (46.1% saved)

preprocess59.0ms (0.7%)

Memory
3.0MiB live, 117.3MiB allocated
Remove

(sort x y)

(negabs t)

Compiler

Compiled 484 to 212 computations (56.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...