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

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze142.0ms (2%)

Memory
8.6MiB live, 160.0MiB allocated
Algorithm
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 (17.7%)

Memory
-143.4MiB live, 1 171.8MiB allocated
Samples
891.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 331.0ms
ival-mult: 129.0ms (39% of total)
ival-add: 90.0ms (27.2% of total)
ival-div: 57.0ms (17.2% of total)
ival-sub: 39.0ms (11.8% of total)
ival-true: 7.0ms (2.1% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain104.0ms (1.5%)

Memory
17.4MiB live, 146.2MiB 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 88 to 40 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.2% of total)
ival-div: 3.0ms (22.6% of total)
ival-add: 3.0ms (22.6% of total)
ival-sub: 2.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess228.0ms (3.2%)

Memory
-21.4MiB live, 138.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046141
1170126
2511126
31662126
45364126
57776126
099
0139
1249
2489
3839
41669
53019
65879
713889
828039
948509
1051939
1152379
1252459
1352459
1456379
1558059
1658059
1758059
058059
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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 9 to 9 computations (0% saved)

simplify182.0ms (2.6%)

Memory
-12.6MiB live, 81.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01325
12425
24825
38325
416625
530125
658725
7138825
8280325
9485025
10519325
11523725
12524525
13524525
14563725
15580525
16580525
17580525
0580525
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
(-.f64 (+.f64 x y) z)
(-.f64 (+.f64 y x) z)
(+.f64 x y)
(+.f64 y x)
x
y
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)

localize22.0ms (0.3%)

Memory
-6.5MiB live, 32.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (+.f64 x y) z)
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 t #s(literal 2 binary64))
accuracy0.0078125
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Samples
17.0ms256×0valid
Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.5% of total)
ival-add: 2.0ms (30.5% of total)
ival-mult: 2.0ms (30.5% of total)
ival-sub: 1.0ms (15.2% 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
19.4MiB live, 19.4MiB allocated
Counts
4 → 35
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 x y)
(*.f64 t #s(literal 2 binary64))
Outputs
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(- y z)
(- (+ x y) z)
y
(+ x y)
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(- x z)
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ x (+ y (* -1 z)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
Calls

12 calls:

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

simplify184.0ms (2.6%)

Memory
10.0MiB live, 127.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103214
1314214
2896214
32964194
47953194
08329194
Stop Event
iter limit
node limit
Counts
35 → 33
Calls
Call 1
Inputs
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(- y z)
(- (+ x y) z)
y
(+ x y)
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(- x z)
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(+ x (+ y (* -1 z)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* 1/2 (/ (- (+ x y) z) t))
(* 2 t)
Outputs
(* 1/2 (/ (- y z) t))
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(- y z)
(-.f64 y z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
y
(+ x y)
(+.f64 y x)
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(-.f64 (+.f64 y x) z)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(-.f64 (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* 1/2 (/ (- x z) t))
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(- x z)
(-.f64 x z)
(* 1/2 (/ y t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (+.f64 y x) z)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(-.f64 (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 1/2 (/ (+ x y) t))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(-.f64 (+.f64 y x) z)
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (+.f64 y x) z)
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(* 2 t)
(*.f64 #s(literal 2 binary64) t)

rewrite202.0ms (2.8%)

Memory
-12.4MiB live, 144.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15720
247320
3782820
0826720
Stop Event
iter limit
node limit
iter limit
Counts
4 → 505
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 x y)
(*.f64 t #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (+.f64 y x) z))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) z)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 z (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 z (+.f64 y x))))
(*.f64 (/.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 y x) z) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 y x)))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))) (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 z (+.f64 y x)) t) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (+.f64 y x) t) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 t))
(*.f64 (neg.f64 t) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t))
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t)))
(*.f64 #s(literal 2 binary64) t)
(*.f64 t #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t))
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) t))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t))

eval79.0ms (1.1%)

Memory
14.1MiB live, 88.5MiB allocated
Compiler

Compiled 12 279 to 1 490 computations (87.9% saved)

prune101.0ms (1.4%)

Memory
2.3MiB live, 41.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5099518
Fresh000
Picked101
Done000
Total5109519
Accuracy
100.0%
Counts
519 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
71.2%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
72.5%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
43.3%
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
65.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
35.9%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
34.6%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
43.1%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
Compiler

Compiled 258 to 216 computations (16.3% saved)

simplify222.0ms (3.1%)

Memory
-15.1MiB live, 104.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t #s(literal 2 binary64))
cost-diff0
(-.f64 y z)
cost-diff0
#s(approx (- (+ x y) z) (-.f64 y z))
cost-diff0
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) t)
cost-diff0
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 x t)
cost-diff0
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) t)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
cost-diff0
(/.f64 x (-.f64 x y))
cost-diff0
(*.f64 x (/.f64 x (-.f64 x y)))
cost-diff0
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
cost-diff128
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032192
050192
192192
2175192
3343192
4721192
51714192
64218192
77264192
08122191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
(*.f64 x (/.f64 x (-.f64 x y)))
x
(/.f64 x (-.f64 x y))
(-.f64 x y)
y
(fma.f64 y (/.f64 y (-.f64 x y)) z)
(/.f64 y (-.f64 x y))
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(/.f64 x t)
x
t
#s(literal 1/2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(/.f64 (+.f64 y x) t)
(+.f64 y x)
y
x
t
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
y
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 x (-.f64 y x)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) t))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
(neg.f64 (fma.f64 (/.f64 x (-.f64 y x)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)))
(*.f64 x (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) x)
x
(/.f64 x (-.f64 x y))
(-.f64 x y)
y
(fma.f64 y (/.f64 y (-.f64 x y)) z)
(fma.f64 (/.f64 y (-.f64 x y)) y z)
(/.f64 y (-.f64 x y))
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 (/.f64 z t) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
t
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x t)))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x t))
(/.f64 x t)
x
t
#s(literal 1/2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(/.f64 (+.f64 y x) t)
(+.f64 y x)
y
x
t
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
y
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)

localize156.0ms (2.2%)

Memory
-7.2MiB live, 84.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y z)
accuracy0.0
(*.f64 t #s(literal 2 binary64))
accuracy0.0078125
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
accuracy19.731803962001074
#s(approx (- (+ x y) z) (-.f64 y z))
accuracy0.0
(+.f64 y x)
accuracy0.00390625
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
accuracy0.015625
(/.f64 (+.f64 y x) t)
accuracy22.130380124724063
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
accuracy0.0
(/.f64 x t)
accuracy0.00390625
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
accuracy41.006872643270576
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) t)
accuracy0.24609375
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy36.29153845364002
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy0.0078125
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
accuracy0.01171875
(/.f64 x (-.f64 x y))
accuracy0.015625
(fma.f64 y (/.f64 y (-.f64 x y)) z)
accuracy0.08203125
(*.f64 x (/.f64 x (-.f64 x y)))
Samples
80.0ms256×0valid
Compiler

Compiled 361 to 62 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 12.0ms (39.6% of total)
ival-mult: 9.0ms (29.7% of total)
ival-sub: 5.0ms (16.5% of total)
ival-add: 4.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series140.0ms (2%)

Memory
1.2MiB live, 38.4MiB allocated
Counts
19 → 133
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
(*.f64 x (/.f64 x (-.f64 x y)))
(/.f64 x (-.f64 x y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal -1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(/.f64 x t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(/.f64 (+.f64 y x) t)
(+.f64 y x)
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
(*.f64 t #s(literal 2 binary64))
(fma.f64 y (/.f64 y (-.f64 x y)) z)
Outputs
(* -1/2 (/ (+ z (* -1 y)) t))
(+ (* -1/2 (/ (+ z (* -1 y)) t)) (* 1/2 (/ x t)))
(* -1 (+ z (* -1 y)))
(- x (+ z (* -1 y)))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(* 1/2 (/ x t))
(/ x t)
(* 1/2 (/ y t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/ y t)
(+ (/ x t) (/ y t))
y
(+ x y)
(- y z)
(- (+ x y) z)
(+ z (* -1 y))
(+ z (+ (* -1 x) (* -1 y)))
(+ z (+ (* -1 y) (* x (- (* -1 (/ x y)) 1))))
(+ z (+ (* -1 y) (* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))))
(* x (+ (* -1/2 (/ (+ z (* -1 y)) (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ (+ z (* -1 y)) (* t x))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* t (pow x 2)))) (* 1/2 (/ 1 t)))))
x
(* x (+ 1 (* -1 (/ (+ z (* -1 y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (+ (* -1 (/ y x)) (/ z x))))
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
1
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (/ 1 t) (/ y (* t x))))
(* x (- (+ 1 (/ y x)) (/ z x)))
z
(+ z (/ (pow y 2) x))
(+ z (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2))))
(- (+ z (+ (/ (pow y 2) x) (/ (pow y 4) (pow x 3)))) (* -1 (/ (pow y 3) (pow x 2))))
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))
(+ z (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)))
(+ z (* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x)))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(- x z)
(+ x (* y (+ 1 (/ y x))))
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(* -1 z)
(+ z (* (pow y 2) (+ (/ 1 x) (/ y (pow x 2)))))
(+ z (* (pow y 2) (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (pow y 2))) (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (/ z y)))
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (/ 1 t) (/ x (* t y))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 y)
(* y (- (/ z y) (+ 1 (/ x y))))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ z y)) (+ 1 (/ x y))))
(* y (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ z y)) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) y)) (* 1/2 (- (/ x t) (/ z t)))) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) z) y)) 1)))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ 1 (* -1 (/ (- z x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (+ z (* -1 (/ (pow x 2) y))) x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (+ z (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) x) y)))))
(* 1/2 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) t)))
(- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y)))
(- (+ (* -1 z) (/ (pow x 2) (- x y))) (/ (pow y 2) (- x y)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(+ x (+ y (* -1 z)))
(+ y (* -1 z))
(/ (pow y 2) (- x y))
(+ z (/ (pow y 2) (- x y)))
(* z (- (* 1/2 (/ (- (/ (pow x 2) (* t (- x y))) (/ (pow y 2) (* t (- x y)))) z)) (* 1/2 (/ 1 t))))
(* z (- (/ (pow x 2) (* z (- x y))) (+ 1 (/ (pow y 2) (* z (- x y))))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* z (+ 1 (/ (pow y 2) (* z (- x y)))))
(* -1 (* z (+ (* -1/2 (/ (- (/ (pow x 2) (* t (- x y))) (/ (pow y 2) (* t (- x y)))) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ 1 (* -1 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) z)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- (* -1 (/ (pow y 2) (* z (- x y)))) 1)))
(* 1/2 (/ (- (/ (pow x 2) (- x y)) (+ z (/ (pow y 2) (- x y)))) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ -1/2 t)
(/ (+ x y) t)
(* 2 t)
Calls

12 calls:

TimeVariablePointExpression
97.0ms
t
@inf
((/ (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* t 2)) (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* x (/ x (- x y))) (/ x (- x y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2) (+ (* y (/ y (- x y))) z))
9.0ms
t
@-inf
((/ (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* t 2)) (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* x (/ x (- x y))) (/ x (- x y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2) (+ (* y (/ y (- x y))) z))
6.0ms
x
@-inf
((/ (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* t 2)) (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* x (/ x (- x y))) (/ x (- x y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2) (+ (* y (/ y (- x y))) z))
5.0ms
x
@0
((/ (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* t 2)) (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* x (/ x (- x y))) (/ x (- x y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2) (+ (* y (/ y (- x y))) z))
4.0ms
t
@0
((/ (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* t 2)) (- (* x (/ x (- x y))) (+ (* y (/ y (- x y))) z)) (* x (/ x (- x y))) (/ x (- x y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2) (+ (* y (/ y (- x y))) z))

simplify415.0ms (5.8%)

Memory
31.7MiB live, 148.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04871774
115221658
245721570
082811473
Stop Event
iter limit
node limit
Counts
133 → 130
Calls
Call 1
Inputs
(* -1/2 (/ (+ z (* -1 y)) t))
(+ (* -1/2 (/ (+ z (* -1 y)) t)) (* 1/2 (/ x t)))
(* -1 (+ z (* -1 y)))
(- x (+ z (* -1 y)))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(* 1/2 (/ x t))
(/ x t)
(* 1/2 (/ y t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/ y t)
(+ (/ x t) (/ y t))
y
(+ x y)
(- y z)
(- (+ x y) z)
(+ z (* -1 y))
(+ z (+ (* -1 x) (* -1 y)))
(+ z (+ (* -1 y) (* x (- (* -1 (/ x y)) 1))))
(+ z (+ (* -1 y) (* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))))
(* x (+ (* -1/2 (/ (+ z (* -1 y)) (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (* -1/2 (/ (+ z (* -1 y)) (* t x))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* t (pow x 2)))) (* 1/2 (/ 1 t)))))
x
(* x (+ 1 (* -1 (/ (+ z (* -1 y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (+ (* -1 (/ y x)) (/ z x))))
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
1
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(* x (+ (/ 1 t) (/ y (* t x))))
(* x (- (+ 1 (/ y x)) (/ z x)))
z
(+ z (/ (pow y 2) x))
(+ z (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2))))
(- (+ z (+ (/ (pow y 2) x) (/ (pow y 4) (pow x 3)))) (* -1 (/ (pow y 3) (pow x 2))))
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))
(+ z (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)))
(+ z (* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x)))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(- x z)
(+ x (* y (+ 1 (/ y x))))
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(* -1 z)
(+ z (* (pow y 2) (+ (/ 1 x) (/ y (pow x 2)))))
(+ z (* (pow y 2) (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(* y (+ (* 1/2 (/ (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (pow y 2))) (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (/ z y)))
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (/ 1 t) (/ x (* t y))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 y)
(* y (- (/ z y) (+ 1 (/ x y))))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ z y)) (+ 1 (/ x y))))
(* y (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ z y)) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) y)) (* 1/2 (- (/ x t) (/ z t)))) y)) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) z) y)) 1)))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ 1 (* -1 (/ (- z x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (+ z (* -1 (/ (pow x 2) y))) x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (+ z (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) x) y)))))
(* 1/2 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) t)))
(- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y)))
(- (+ (* -1 z) (/ (pow x 2) (- x y))) (/ (pow y 2) (- x y)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* -1/2 (/ z t))
(+ x (+ y (* -1 z)))
(+ y (* -1 z))
(/ (pow y 2) (- x y))
(+ z (/ (pow y 2) (- x y)))
(* z (- (* 1/2 (/ (- (/ (pow x 2) (* t (- x y))) (/ (pow y 2) (* t (- x y)))) z)) (* 1/2 (/ 1 t))))
(* z (- (/ (pow x 2) (* z (- x y))) (+ 1 (/ (pow y 2) (* z (- x y))))))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* z (+ 1 (/ (pow y 2) (* z (- x y)))))
(* -1 (* z (+ (* -1/2 (/ (- (/ (pow x 2) (* t (- x y))) (/ (pow y 2) (* t (- x y)))) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ 1 (* -1 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) z)))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- (* -1 (/ (pow y 2) (* z (- x y)))) 1)))
(* 1/2 (/ (- (/ (pow x 2) (- x y)) (+ z (/ (pow y 2) (- x y)))) t))
(* 1/2 (/ (- (+ x y) z) t))
(/ -1/2 t)
(/ (+ x y) t)
(* 2 t)
Outputs
(* -1/2 (/ (+ z (* -1 y)) t))
(*.f64 (/.f64 (-.f64 z y) t) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (+ z (* -1 y)) t)) (* 1/2 (/ x t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 (-.f64 z y) t) #s(literal -1/2 binary64)))
(* -1 (+ z (* -1 y)))
(-.f64 y z)
(- x (+ z (* -1 y)))
(-.f64 (+.f64 y x) z)
(* -1 (/ (pow x 2) y))
(*.f64 (neg.f64 x) (/.f64 x y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y) x)
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x)
(* 1/2 (/ (- y z) t))
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(* 1/2 (/ x t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(/ x t)
(/.f64 x t)
(* 1/2 (/ y t))
(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
(/ y t)
(/.f64 y t)
(+ (/ x t) (/ y t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(- y z)
(-.f64 y z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(+ z (* -1 y))
(-.f64 z y)
(+ z (+ (* -1 x) (* -1 y)))
(-.f64 (-.f64 z x) y)
(+ z (+ (* -1 y) (* x (- (* -1 (/ x y)) 1))))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x (-.f64 z y))
(+ z (+ (* -1 y) (* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))))
(-.f64 (-.f64 z (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) y)
(* x (+ (* -1/2 (/ (+ z (* -1 y)) (* t x))) (* 1/2 (/ 1 t))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 z y) t) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* x (+ (* -1/2 (/ (+ z (* -1 y)) (* t x))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* t (pow x 2)))) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 z y) t) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
x
(* x (+ 1 (* -1 (/ (+ z (* -1 y)) x))))
(fma.f64 (/.f64 (-.f64 y z) x) x x)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (+ (* -1 (/ y x)) (/ z x))))
(fma.f64 (/.f64 (-.f64 y z) x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) x x)
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) x x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)))
(* x (+ (/ 1 t) (/ y (* t x))))
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))
(* x (- (+ 1 (/ y x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 y z) x) x x)
z
(+ z (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y z)
(+ z (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) z)
(- (+ z (+ (/ (pow y 2) x) (/ (pow y 4) (pow x 3)))) (* -1 (/ (pow y 3) (pow x 2))))
(+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y)) z)
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 z y) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) t)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(fma.f64 (/.f64 (-.f64 y z) x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) x x)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64))
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(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)))
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(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) z)
(+ z (* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x)))
(+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) z)
(* 1/2 (/ (- x z) t))
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(- x z)
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(/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64)))) y)
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (neg.f64 y))
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
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(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)))
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(* y (+ 1 (/ x y)))
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(* y (+ 1 (* -1 (/ z y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(* -1 y)
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(*.f64 (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) y)
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ z y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x z) y) #s(literal 1 binary64)) y)
(* y (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ z y)) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x z) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y)
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) y)) (* 1/2 (- (/ x t) (/ z t)))) y)) (* 1/2 (/ 1 t)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/2 binary64) t)) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) z) y)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)) (neg.f64 y))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x) (neg.f64 y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x) (neg.f64 y))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)))
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (/ z y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- z x) y)))))
(*.f64 (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (- (+ z (* -1 (/ (pow x 2) y))) x) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x z) y) #s(literal 1 binary64)) y)
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(fma.f64 (/.f64 (-.f64 z (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) y) y (neg.f64 y))
(* 1/2 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) t))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) t)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
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(- (+ (* -1 z) (/ (pow x 2) (- x y))) (/ (pow y 2) (- x y)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
(* 1/2 (/ (+ x y) t))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(* -1/2 (/ z t))
(*.f64 (/.f64 z t) #s(literal -1/2 binary64))
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(+ y (* -1 z))
(-.f64 y z)
(/ (pow y 2) (- x y))
(*.f64 y (/.f64 y (-.f64 x y)))
(+ z (/ (pow y 2) (- x y)))
(fma.f64 y (/.f64 y (-.f64 x y)) z)
(* z (- (* 1/2 (/ (- (/ (pow x 2) (* t (- x y))) (/ (pow y 2) (* t (- x y)))) z)) (* 1/2 (/ 1 t))))
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) t) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) t)) z)
(* z (- (/ (pow x 2) (* z (- x y))) (+ 1 (/ (pow y 2) (* z (- x y))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (-.f64 x y)) (*.f64 x (/.f64 x (-.f64 x y)))) z) #s(literal 1 binary64)) z)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) z) (/.f64 #s(literal 1/2 binary64) t)) z)
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(* z (+ 1 (/ (pow y 2) (* z (- x y)))))
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(* -1 (* z (+ 1 (* -1 (/ (- (/ (pow x 2) (- x y)) (/ (pow y 2) (- x y))) z)))))
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(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)))
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(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z)
(* -1 (* z (- (* -1 (/ (pow y 2) (* z (- x y)))) 1)))
(*.f64 (fma.f64 (/.f64 y (-.f64 x y)) (/.f64 y z) #s(literal 1 binary64)) z)
(* 1/2 (/ (- (/ (pow x 2) (- x y)) (+ z (/ (pow y 2) (- x y)))) t))
(*.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) t) #s(literal 1/2 binary64))
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64))
(/ -1/2 t)
(/.f64 #s(literal -1/2 binary64) t)
(/ (+ x y) t)
(/.f64 (+.f64 y x) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)

rewrite194.0ms (2.7%)

Memory
-19.8MiB live, 290.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032162
050162
1205140
21686140
08550140
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 050
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z))
(*.f64 x (/.f64 x (-.f64 x y)))
(/.f64 x (-.f64 x y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal -1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(/.f64 x t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(/.f64 (+.f64 y x) t)
(+.f64 y x)
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 y z))
(-.f64 y z)
(*.f64 t #s(literal 2 binary64))
(fma.f64 y (/.f64 y (-.f64 x y)) z)
Outputs
(*.f64 (/.f64 (+.f64 (+.f64 y x) z) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 (+.f64 y x) z)))
(*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z))))
(*.f64 (/.f64 (fma.f64 z (+.f64 (+.f64 y x) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 z (+.f64 (+.f64 y x) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 y x) z) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) t) (/.f64 (pow.f64 (+.f64 (+.f64 y x) z) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z (+.f64 (+.f64 y x) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 z (+.f64 (+.f64 y x) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 y (-.f64 x y)) y z) (fma.f64 (/.f64 x (-.f64 x y)) x (fma.f64 (/.f64 y (-.f64 x y)) y z)) (pow.f64 (*.f64 (/.f64 x (-.f64 x y)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 y z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y (neg.f64 z)))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(fma.f64 #s(literal -1 binary64) z y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 y (neg.f64 z))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))
(-.f64 y z)
(+.f64 (neg.f64 z) y)
(+.f64 y (neg.f64 z))
(*.f64 #s(literal 2 binary64) t)
(*.f64 t #s(literal 2 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z))) (*.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)) (*.f64 z z))) (pow.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))) (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (-.f64 x y)) y) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (-.f64 x y)) y) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y)) (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x y)) z)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)) z)
(fma.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 y (-.f64 y x)) z)
(fma.f64 (/.f64 y (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 y (-.f64 y x) (*.f64 x x))) z)
(fma.f64 (/.f64 y (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 y y (*.f64 x (-.f64 x y)))) z)
(fma.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 y (-.f64 x y)) z)
(fma.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z)
(fma.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) z)
(fma.f64 (*.f64 (/.f64 y (+.f64 y x)) (/.f64 y (-.f64 x y))) (+.f64 y x) z)
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)) z)
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) z)
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z)
(fma.f64 (/.f64 y (-.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) z)
(fma.f64 (/.f64 y (-.f64 x y)) y z)
(fma.f64 y (/.f64 y (-.f64 x y)) z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (-.f64 z (*.f64 (/.f64 y (-.f64 x y)) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x y)) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (/.f64 y (-.f64 x y)) y (neg.f64 z))))
(+.f64 (*.f64 (/.f64 y (-.f64 x y)) y) z)
(+.f64 z (*.f64 (/.f64 y (-.f64 x y)) y))

eval185.0ms (2.6%)

Memory
24.3MiB live, 294.4MiB allocated
Compiler

Compiled 38 987 to 4 397 computations (88.7% saved)

prune28.0ms (0.4%)

Memory
-3.9MiB live, 77.7MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 14341 147
Fresh224
Picked145
Done000
Total1 146101 156
Accuracy
100.0%
Counts
1 156 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
72.5%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
43.3%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
65.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
35.9%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
43.1%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
98.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
34.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
35.8%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
Compiler

Compiled 248 to 207 computations (16.5% saved)

simplify83.0ms (1.2%)

Memory
16.6MiB live, 55.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t #s(literal 2 binary64))
cost-diff0
(-.f64 x z)
cost-diff0
#s(approx (- (+ x y) z) (-.f64 x z))
cost-diff0
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) z)
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
cost-diff0
(/.f64 y t)
cost-diff0
#s(approx (/ (+ y x) t) (/.f64 y t))
cost-diff0
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) t)
cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 (+.f64 y x) z)
cost-diff0
(/.f64 t (-.f64 (+.f64 y x) z))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031160
044160
171160
2117160
3216160
4374160
5629160
61201160
72720160
84598160
96273160
107949160
08006160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
#s(literal 1/2 binary64)
(/.f64 t (-.f64 (+.f64 y x) z))
t
(-.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
x
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))
#s(approx (/ (+ y x) t) (/.f64 y t))
(/.f64 y t)
y
t
#s(literal 1/2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
t
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 x z))
(-.f64 x z)
x
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t))
#s(literal 1/2 binary64)
(/.f64 t (-.f64 (+.f64 y x) z))
(/.f64 t (-.f64 (+.f64 x y) z))
t
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 x y) z)
(+.f64 y x)
(+.f64 x y)
y
x
z
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
x
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))
#s(approx (/ (+ y x) t) (/.f64 y t))
(/.f64 y t)
y
t
#s(literal 1/2 binary64)
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(*.f64 (/.f64 z t) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
t
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t))
#s(approx (- (+ x y) z) (-.f64 x z))
(-.f64 x z)
x
z
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)
t
#s(literal 2 binary64)

localize100.0ms (1.4%)

Memory
-9.5MiB live, 144.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x z)
accuracy0.0
(*.f64 t #s(literal 2 binary64))
accuracy0.0078125
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
accuracy19.26798452737443
#s(approx (- (+ x y) z) (-.f64 x z))
accuracy0.0
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) z)
accuracy36.29153845364002
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy0.0
(/.f64 y t)
accuracy0.00390625
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))
accuracy22.130380124724063
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
accuracy31.812558304511477
#s(approx (/ (+ y x) t) (/.f64 y t))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) t)
accuracy0.21484375
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
accuracy41.006872643270576
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
accuracy0.0
(-.f64 (+.f64 y x) z)
accuracy0.0
(+.f64 y x)
accuracy0.01953125
(/.f64 t (-.f64 (+.f64 y x) z))
accuracy0.1640625
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
Samples
80.0ms256×0valid
Compiler

Compiled 282 to 57 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 16.0ms (49.9% of total)
ival-mult: 9.0ms (28.1% of total)
ival-sub: 4.0ms (12.5% of total)
ival-add: 3.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
20.0MiB live, 56.2MiB allocated
Counts
18 → 89
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
(/.f64 t (-.f64 (+.f64 y x) z))
(-.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(/.f64 #s(literal 1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))
#s(approx (/ (+ y x) t) (/.f64 y t))
(/.f64 y t)
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 x z))
(-.f64 x z)
(*.f64 t #s(literal 2 binary64))
Outputs
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(/ t (- y z))
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z)))
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(- y z)
(- (+ x y) z)
y
(+ x y)
(* 1/2 (/ x t))
(* 1/2 (/ y t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/ y t)
(+ (/ x t) (/ y t))
(* -1 z)
(- x z)
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(/ t x)
(/ (+ t (* -1 (/ (* t (- y z)) x))) x)
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x)
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (+ 1 (/ y x)))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(/ x t)
(* x (+ (/ 1 t) (/ y (* t x))))
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))
(* -1 (* x (- (/ z x) 1)))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(/ t (- x z))
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z)))
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(/ t y)
(/ (+ t (* -1 (/ (* t (- x z)) y))) y)
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y)
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y)
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (+ 1 (/ x y)))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (/ 1 t) (/ x (* t y))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(/ t (+ x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ x (+ y (* -1 z)))
(* -1/2 (/ z t))
(* -1/2 z)
(+ x (* -1 z))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 (/ t z))
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ 1/2 t)
(/ (+ x y) t)
(* 2 t)
Calls

12 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* x (/ 1/2 t)) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2))
3.0ms
t
@-inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* x (/ 1/2 t)) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2))
2.0ms
t
@0
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* x (/ 1/2 t)) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2))
2.0ms
t
@inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* x (/ 1/2 t)) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2))
1.0ms
z
@inf
((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* x (/ 1/2 t)) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2))

simplify156.0ms (2.2%)

Memory
-27.0MiB live, 224.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421161
110521114
231621044
084351010
Stop Event
iter limit
node limit
Counts
89 → 87
Calls
Call 1
Inputs
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(/ t (- y z))
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z)))
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(- y z)
(- (+ x y) z)
y
(+ x y)
(* 1/2 (/ x t))
(* 1/2 (/ y t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/ y t)
(+ (/ x t) (/ y t))
(* -1 z)
(- x z)
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(/ t x)
(/ (+ t (* -1 (/ (* t (- y z)) x))) x)
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x)
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (+ 1 (/ y x)))
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(/ x t)
(* x (+ (/ 1 t) (/ y (* t x))))
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))
(* -1 (* x (- (/ z x) 1)))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(/ t (- x z))
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z)))
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(/ t y)
(/ (+ t (* -1 (/ (* t (- x z)) y))) y)
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y)
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y)
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (+ 1 (/ x y)))
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (/ 1 t) (/ x (* t y))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(/ t (+ x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ x (+ y (* -1 z)))
(* -1/2 (/ z t))
(* -1/2 z)
(+ x (* -1 z))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* -1 (/ t z))
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* 1/2 (/ (- (+ x y) z) t))
(/ t (- (+ x y) z))
(/ 1/2 t)
(/ (+ x y) t)
(* 2 t)
Outputs
(* 1/2 (/ (- y z) t))
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(/ t (- y z))
(/.f64 t (-.f64 y z))
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z)))
(fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 y z)))
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y z)))) x (/.f64 t (-.f64 y z)))
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) x (/.f64 (neg.f64 t) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) x (/.f64 t (-.f64 y z)))
(- y z)
(-.f64 y z)
(- (+ x y) z)
(-.f64 (+.f64 x y) z)
y
(+ x y)
(+.f64 x y)
(* 1/2 (/ x t))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(* 1/2 (/ y t))
(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(/ y t)
(/.f64 y t)
(+ (/ x t) (/ y t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(/ t x)
(/.f64 t x)
(/ (+ t (* -1 (/ (* t (- y z)) x))) x)
(/.f64 (-.f64 t (/.f64 (*.f64 (-.f64 y z) t) x)) x)
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x)
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x)
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x)
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) (fma.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64)) (neg.f64 t) t)) x)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 y z) x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)))
(/ x t)
(/.f64 x t)
(* x (+ (/ 1 t) (/ y (* t x))))
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))
(* x (+ 1 (* -1 (/ z x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x)
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x))
(/.f64 (-.f64 t (/.f64 (*.f64 (-.f64 y z) t) x)) x)
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x))
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x)
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x))
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) (fma.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64)) (neg.f64 t) t)) x)
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)))
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t))))
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))
(* -1 (* x (- (/ z x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* 1/2 (/ (- x z) t))
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(/ t (- x z))
(/.f64 t (-.f64 x z))
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z)))
(fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 x z)))
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x z)))) y (/.f64 t (-.f64 x z)))
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 t) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 t (-.f64 x z)))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y)
(/ t y)
(/.f64 t y)
(/ (+ t (* -1 (/ (* t (- x z)) y))) y)
(/.f64 (-.f64 t (/.f64 (*.f64 (-.f64 x z) t) y)) y)
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y)
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y)
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y)
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (neg.f64 t) t)) y)
(* y (- (+ 1 (/ x y)) (/ z y)))
(fma.f64 (/.f64 (-.f64 x z) y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)))
(* y (+ (/ 1 t) (/ x (* t y))))
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y)
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y))
(/.f64 (-.f64 t (/.f64 (*.f64 (-.f64 x z) t) y)) y)
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y))
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y)
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y))
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (neg.f64 t) t)) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)))
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t))))
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))
(* 1/2 (/ (+ x y) t))
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))
(/ t (+ x y))
(/.f64 t (+.f64 x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (+.f64 x y)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(fma.f64 (*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 x y) #s(literal 4 binary64))) t (/.f64 t (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) z (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y)))
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 x y) z)
(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ x (* -1 z))
(-.f64 x z)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) z) (/.f64 #s(literal 1/2 binary64) t)) z)
(* -1 (/ t z))
(/.f64 (neg.f64 t) z)
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (neg.f64 z))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) t) (neg.f64 z))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 t z) (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z) (+.f64 x y)) (fma.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) t t))) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z (neg.f64 z))
(* z (- (/ x z) 1))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z))
(/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (neg.f64 z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z))
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) t) (neg.f64 z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 x y) t (/.f64 (*.f64 t (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z))) z) t) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(fma.f64 (/.f64 (+.f64 x y) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))
(/ t (- (+ x y) z))
(/.f64 t (-.f64 (+.f64 x y) z))
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ (+ x y) t)
(/.f64 (+.f64 x y) t)
(* 2 t)
(*.f64 #s(literal 2 binary64) t)

rewrite312.0ms (4.4%)

Memory
-2.9MiB live, 154.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031142
044142
1175142
21146142
08248142
Stop Event
iter limit
node limit
iter limit
Counts
18 → 821
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
(/.f64 t (-.f64 (+.f64 y x) z))
(-.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
(/.f64 #s(literal 1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))
#s(approx (/ (+ y x) t) (/.f64 y t))
(/.f64 y t)
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (- (+ x y) z) (-.f64 x z))
(-.f64 x z)
(*.f64 t #s(literal 2 binary64))
Outputs
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 z (+.f64 x y)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) t) (/.f64 (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (fma.f64 #s(literal -1 binary64) (+.f64 x y) z))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 x y)))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 x y) z) #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)))))))
(*.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x y) z) t)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (+.f64 z (+.f64 x y)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 z (+.f64 x y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t)))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 x y)) (*.f64 #s(literal 2 binary64) t))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 x y) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) z) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) (neg.f64 t)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 x y) z) t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z))
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.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))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))))
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(*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))
#s(approx (/ (+ y x) t) (/.f64 y t))
(*.f64 (pow.f64 (/.f64 t y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y t))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(*.f64 y (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (/.f64 t y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t y))))
(/.f64 #s(literal 1 binary64) (/.f64 t y))
(/.f64 (neg.f64 y) (neg.f64 t))
(/.f64 y t)
(neg.f64 (/.f64 (neg.f64 y) t))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 y) t))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) t))
(exp.f64 (*.f64 (log.f64 (/.f64 t y)) #s(literal -1 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 #s(literal 1/2 binary64) t)))
(*.f64 (/.f64 z t) #s(literal -1/2 binary64))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 z t))
(*.f64 z (/.f64 #s(literal -1/2 binary64) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z) #s(literal -1 binary64))
(/.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) t) z))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
(/.f64 #s(literal -1/2 binary64) (/.f64 t z))
(neg.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 z (/.f64 #s(literal 1/2 binary64) t)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 #s(literal 1/2 binary64) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(neg.f64 (*.f64 z #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal -2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) t)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal -1/2 binary64) t)))
(*.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) t) #s(literal 1/2 binary64))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (+ x y) z) (-.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)))
(*.f64 (neg.f64 #s(approx (- (+ x y) z) (-.f64 x z))) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (neg.f64 t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (pow.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) t))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1/2 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) t))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1/2 binary64)) t)
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) t)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z)))))
(/.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) t) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))))
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (-.f64 x z))) (*.f64 #s(literal -2 binary64) t))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t))
(neg.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal -1/2 binary64) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal -1/2 binary64) t)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal -1/2 binary64) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (+ x y) z) (-.f64 x z))))
(*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1 binary64))
#s(approx (- (+ x y) z) (-.f64 x z))
(neg.f64 (neg.f64 #s(approx (- (+ x y) z) (-.f64 x z))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ x y) z) (-.f64 x z))))
(*.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 (neg.f64 z) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 z))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 z))
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(-.f64 x z)
(+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(+.f64 (neg.f64 z) x)
(+.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t))
(*.f64 (neg.f64 t) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) t)
(*.f64 t #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.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 (neg.f64 t) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))
(/.f64 t #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) t))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t))

eval152.0ms (2.1%)

Memory
-7.2MiB live, 145.7MiB allocated
Compiler

Compiled 19 222 to 2 723 computations (85.8% saved)

prune19.0ms (0.3%)

Memory
21.3MiB live, 58.7MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New8861887
Fresh011
Picked145
Done044
Total88710897
Accuracy
100.0%
Counts
897 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
72.5%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
72.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
43.3%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
65.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
35.9%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
43.1%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
98.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
34.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
35.8%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
Compiler

Compiled 160 to 132 computations (17.5% saved)

simplify205.0ms (2.9%)

Memory
-24.6MiB live, 102.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 t (-.f64 x z))
cost-diff0
#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
cost-diff0
(/.f64 (-.f64 x z) t)
cost-diff0
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
cost-diff704
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02297
02997
14897
28397
314497
432291
561091
6123491
7325191
8508791
9601791
10605691
11606691
12607491
13607891
14650691
15669091
16669091
17669091
18669491
0669491
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
(/.f64 (-.f64 x z) t)
(-.f64 x z)
x
z
t
(/.f64 y t)
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
#s(literal 1/2 binary64)
#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
(/.f64 t (-.f64 x z))
t
(-.f64 x z)
x
z
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
(/.f64 (-.f64 (+.f64 y x) z) t)
(/.f64 (-.f64 x z) t)
(-.f64 x z)
x
z
t
(/.f64 y t)
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
#s(literal 1/2 binary64)
#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
(/.f64 t (-.f64 x z))
t
(-.f64 x z)
x
z

localize59.0ms (0.8%)

Memory
29.2MiB live, 68.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x z)
accuracy0.0234375
(/.f64 t (-.f64 x z))
accuracy0.1640625
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
accuracy17.218900264961448
#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
accuracy0.0
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
accuracy0.0
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
accuracy0.01171875
(/.f64 (-.f64 x z) t)
accuracy0.8476541858302059
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
Samples
48.0ms256×0valid
Compiler

Compiled 172 to 44 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 25.0ms (69% of total)
ival-sub: 4.0ms (11% of total)
ival-add: 4.0ms (11% of total)
ival-mult: 3.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-14.1MiB live, 25.0MiB allocated
Counts
8 → 106
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(/.f64 (-.f64 x z) t)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
(/.f64 t (-.f64 x z))
(-.f64 x z)
Outputs
(- (/ y t) (/ z t))
(- (+ (/ x t) (/ y t)) (/ z t))
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(* 1/2 (- (/ y t) (/ z t)))
(+ (* 1/2 (- (/ y t) (/ z t))) (* 1/2 (/ x t)))
(* -1 (/ z t))
(+ (* -1 (/ z t)) (/ x t))
(/ t (- y z))
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z)))
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(* -1 (/ t z))
(+ (* -1 (/ t z)) (* -1 (/ (* t x) (pow z 2))))
(+ (* -1 (/ t z)) (* x (- (* -1 (/ (* t x) (pow z 3))) (/ t (pow z 2)))))
(+ (* -1 (/ t z)) (* x (- (* x (- (* -1 (/ (* t x) (pow z 4))) (/ t (pow z 3)))) (/ t (pow z 2)))))
(* -1 z)
(- x z)
(/ x t)
(* x (- (+ (/ 1 t) (/ y (* t x))) (/ z (* t x))))
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* -1 (/ z (* t x))) (/ 1 t)))
(/ t x)
(/ (+ t (* -1 (/ (* t (- y z)) x))) x)
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x)
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x)
(/ (+ t (/ (* t z) x)) x)
(/ (- (+ t (/ (* t (pow z 2)) (pow x 2))) (* -1 (/ (* t z) x))) x)
(/ (- (+ t (/ (* t (pow z 3)) (pow x 3))) (+ (* -1 (/ (* t z) x)) (* -1 (/ (* t (pow z 2)) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z t)) (/ y t)) x)) (/ 1 t))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (+ (* -1 (/ z t)) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (/ z (* t x)) (/ 1 t))))
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t z) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t z) (/ (* t (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow z 2))) (* -1 (/ (* t (pow z 3)) x))) x)) (* t z)) x))) x))
(* -1 (* x (- (/ z x) 1)))
(- (/ x t) (/ z t))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(* 1/2 (- (/ x t) (/ z t)))
(+ (* 1/2 (- (/ x t) (/ z t))) (* 1/2 (/ y t)))
(/ t (- x z))
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z)))
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(/ y t)
(* y (- (+ (/ 1 t) (/ x (* t y))) (/ z (* t y))))
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(/ t y)
(/ (+ t (* -1 (/ (* t (- x z)) y))) y)
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y)
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y)
(* -1 (* y (- (* -1 (/ (- (/ x t) (/ z t)) y)) (/ 1 t))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y))
(+ (/ x t) (/ y t))
(+ (* -1 (/ z t)) (+ (/ x t) (/ y t)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* 1/2 (+ (/ x t) (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (+ (/ x t) (/ y t))))
(/ t (+ x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (/ t x) (/ (* t z) (pow x 2)))
(+ (* z (- (/ (* t z) (pow x 3)) (* -1 (/ t (pow x 2))))) (/ t x))
(+ (* z (- (* z (- (/ (* t z) (pow x 4)) (* -1 (/ t (pow x 3))))) (* -1 (/ t (pow x 2))))) (/ t x))
(+ x (* -1 z))
(* z (- (+ (/ x (* t z)) (/ y (* t z))) (/ 1 t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (/ x (* t z)) (/ 1 t)))
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z)
(/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow x 2)) (pow z 2)))) (/ (* t x) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow x 3)) (pow z 3)))) (+ (/ (* t x) z) (/ (* t (pow x 2)) (pow z 2)))) z)
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1 (/ (+ (/ x t) (/ y t)) z)) (/ 1 t))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ 1 t))))
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z))
(* -1 (/ (+ t (/ (* t x) z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow x 2)) z)) (* t x)) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow x 3)) z) (* -1 (* t (pow x 2)))) z)) (* t x)) z))) z))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ (- (+ x y) z) t)
(* 1/2 (/ (- (+ x y) z) t))
(/ (- x z) t)
(/ t (- (+ x y) z))
(* -1 (/ (+ (* -1 y) (* -1 (- x z))) t))
(* -1/2 (/ (+ (* -1 y) (* -1 (- x z))) t))
Calls

12 calls:

TimeVariablePointExpression
20.0ms
z
@-inf
((+ (/ (- x z) t) (/ y t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- x z) t) (/ y t)) 1/2) (/ (- x z) t) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (- x z)) (- x z))
2.0ms
z
@inf
((+ (/ (- x z) t) (/ y t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- x z) t) (/ y t)) 1/2) (/ (- x z) t) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (- x z)) (- x z))
2.0ms
t
@-inf
((+ (/ (- x z) t) (/ y t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- x z) t) (/ y t)) 1/2) (/ (- x z) t) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (- x z)) (- x z))
2.0ms
t
@0
((+ (/ (- x z) t) (/ y t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- x z) t) (/ y t)) 1/2) (/ (- x z) t) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (- x z)) (- x z))
2.0ms
x
@0
((+ (/ (- x z) t) (/ y t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- x z) t) (/ y t)) 1/2) (/ (- x z) t) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (- x z)) (- x z))

simplify355.0ms (5%)

Memory
-1.9MiB live, 251.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04431574
113601495
241071381
083651337
Stop Event
iter limit
node limit
Counts
106 → 105
Calls
Call 1
Inputs
(- (/ y t) (/ z t))
(- (+ (/ x t) (/ y t)) (/ z t))
(* 1/2 (/ (- y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(* 1/2 (- (/ y t) (/ z t)))
(+ (* 1/2 (- (/ y t) (/ z t))) (* 1/2 (/ x t)))
(* -1 (/ z t))
(+ (* -1 (/ z t)) (/ x t))
(/ t (- y z))
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z)))
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(* -1 (/ t z))
(+ (* -1 (/ t z)) (* -1 (/ (* t x) (pow z 2))))
(+ (* -1 (/ t z)) (* x (- (* -1 (/ (* t x) (pow z 3))) (/ t (pow z 2)))))
(+ (* -1 (/ t z)) (* x (- (* x (- (* -1 (/ (* t x) (pow z 4))) (/ t (pow z 3)))) (/ t (pow z 2)))))
(* -1 z)
(- x z)
(/ x t)
(* x (- (+ (/ 1 t) (/ y (* t x))) (/ z (* t x))))
(* 1/2 (/ x t))
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))
(* x (+ (* -1 (/ z (* t x))) (/ 1 t)))
(/ t x)
(/ (+ t (* -1 (/ (* t (- y z)) x))) x)
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x)
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x)
(/ (+ t (/ (* t z) x)) x)
(/ (- (+ t (/ (* t (pow z 2)) (pow x 2))) (* -1 (/ (* t z) x))) x)
(/ (- (+ t (/ (* t (pow z 3)) (pow x 3))) (+ (* -1 (/ (* t z) x)) (* -1 (/ (* t (pow z 2)) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z t)) (/ y t)) x)) (/ 1 t))))
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (* -1/2 (/ (+ (* -1 (/ z t)) (/ y t)) x)) (* 1/2 (/ 1 t)))))
(* -1 (* x (- (/ z (* t x)) (/ 1 t))))
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t z) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t z) (/ (* t (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow z 2))) (* -1 (/ (* t (pow z 3)) x))) x)) (* t z)) x))) x))
(* -1 (* x (- (/ z x) 1)))
(- (/ x t) (/ z t))
(* 1/2 (/ (- x z) t))
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t)))
(* 1/2 (- (/ x t) (/ z t)))
(+ (* 1/2 (- (/ x t) (/ z t))) (* 1/2 (/ y t)))
(/ t (- x z))
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z)))
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z)))
(/ y t)
(* y (- (+ (/ 1 t) (/ x (* t y))) (/ z (* t y))))
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(/ t y)
(/ (+ t (* -1 (/ (* t (- x z)) y))) y)
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y)
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y)
(* -1 (* y (- (* -1 (/ (- (/ x t) (/ z t)) y)) (/ 1 t))))
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y))
(+ (/ x t) (/ y t))
(+ (* -1 (/ z t)) (+ (/ x t) (/ y t)))
(* 1/2 (/ (+ x y) t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(* 1/2 (+ (/ x t) (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (+ (/ x t) (/ y t))))
(/ t (+ x y))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(+ (/ t x) (/ (* t z) (pow x 2)))
(+ (* z (- (/ (* t z) (pow x 3)) (* -1 (/ t (pow x 2))))) (/ t x))
(+ (* z (- (* z (- (/ (* t z) (pow x 4)) (* -1 (/ t (pow x 3))))) (* -1 (/ t (pow x 2))))) (/ t x))
(+ x (* -1 z))
(* z (- (+ (/ x (* t z)) (/ y (* t z))) (/ 1 t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(* z (- (/ x (* t z)) (/ 1 t)))
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z)
(/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow x 2)) (pow z 2)))) (/ (* t x) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow x 3)) (pow z 3)))) (+ (/ (* t x) z) (/ (* t (pow x 2)) (pow z 2)))) z)
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1 (/ (+ (/ x t) (/ y t)) z)) (/ 1 t))))
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ 1 t))))
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z))
(* -1 (/ (+ t (/ (* t x) z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow x 2)) z)) (* t x)) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow x 3)) z) (* -1 (* t (pow x 2)))) z)) (* t x)) z))) z))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ (- (+ x y) z) t)
(* 1/2 (/ (- (+ x y) z) t))
(/ (- x z) t)
(/ t (- (+ x y) z))
(* -1 (/ (+ (* -1 y) (* -1 (- x z))) t))
(* -1/2 (/ (+ (* -1 y) (* -1 (- x z))) t))
Outputs
(- (/ y t) (/ z t))
(/.f64 (-.f64 y z) t)
(- (+ (/ x t) (/ y t)) (/ z t))
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
(* 1/2 (/ (- y z) t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t))
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(* 1/2 (- (/ y t) (/ z t)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t))
(+ (* 1/2 (- (/ y t) (/ z t))) (* 1/2 (/ x t)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(* -1 (/ z t))
(/.f64 (neg.f64 z) t)
(+ (* -1 (/ z t)) (/ x t))
(/.f64 (-.f64 x z) t)
(/ t (- y z))
(/.f64 t (-.f64 y z))
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z)))
(fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 y z)))
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y z)))) x (/.f64 t (-.f64 y z)))
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) x (/.f64 (neg.f64 t) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) x (/.f64 t (-.f64 y z)))
(* -1 (/ t z))
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x
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(/ y t)
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(* y (- (+ (/ 1 t) (/ x (* t y))) (/ z (* t y))))
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 x z) t) y) (/.f64 #s(literal 1 binary64) t)) y)
(* 1/2 (/ y t))
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(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y)
(/ t y)
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(/ (+ t (* -1 (/ (* t (- x z)) y))) y)
(/.f64 (fma.f64 (-.f64 z x) (/.f64 t y) t) y)
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y)
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y)
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y)
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (neg.f64 t) t)) y)
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(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y)
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(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (neg.f64 t) t)) y)
(+ (/ x t) (/ y t))
(+.f64 (/.f64 x t) (/.f64 y t))
(+ (* -1 (/ z t)) (+ (/ x t) (/ y t)))
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
(* 1/2 (/ (+ x y) t))
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t)))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(* 1/2 (+ (/ x t) (/ y t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
(+ (* -1/2 (/ z t)) (* 1/2 (+ (/ x t) (/ y t))))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(/ t (+ x y))
(/.f64 t (+.f64 y x))
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2)))
(*.f64 (+.f64 (/.f64 z (+.f64 y x)) #s(literal 1 binary64)) (/.f64 t (+.f64 y x)))
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y)))
(fma.f64 (*.f64 (+.f64 (/.f64 z (+.f64 y x)) #s(literal 1 binary64)) (/.f64 t (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (/.f64 t (+.f64 y x)))
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(+ (/ t x) (/ (* t z) (pow x 2)))
(*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 t x))
(+ (* z (- (/ (* t z) (pow x 3)) (* -1 (/ t (pow x 2))))) (/ t x))
(fma.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) x)) z (/.f64 t x))
(+ (* z (- (* z (- (/ (* t z) (pow x 4)) (* -1 (/ t (pow x 3))))) (* -1 (/ t (pow x 2))))) (/ t x))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) t (/.f64 t (pow.f64 x #s(literal 3 binary64)))) z (/.f64 (/.f64 t x) x)) z (/.f64 t x))
(+ x (* -1 z))
(-.f64 x z)
(* z (- (+ (/ x (* t z)) (/ y (* t z))) (/ 1 t)))
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(* -1/2 (/ z t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) z) (/.f64 #s(literal 1/2 binary64) t)) z)
(* z (- (/ x (* t z)) (/ 1 t)))
(*.f64 (-.f64 (/.f64 (/.f64 x t) z) (/.f64 #s(literal 1 binary64) t)) z)
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z)
(/.f64 (fma.f64 (+.f64 y x) (/.f64 t z) t) (neg.f64 z))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z)
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 y x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z)) t) (neg.f64 z))
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(/.f64 (fma.f64 t (-.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) z))) (neg.f64 t)) z)
(/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)
(*.f64 (/.f64 t z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow x 2)) (pow z 2)))) (/ (* t x) z)) z)
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) (neg.f64 z))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow x 3)) (pow z 3)))) (+ (/ (* t x) z) (/ (* t (pow x 2)) (pow z 2)))) z)
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) t t))) z)
(* z (- (/ x z) 1))
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(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 t (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z) (*.f64 (+.f64 y x) t)) z) t) (neg.f64 z))
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(*.f64 (/.f64 t z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
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(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow x 3)) z) (* -1 (* t (pow x 2)))) z)) (* t x)) z))) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 t (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) z) (*.f64 t x)) z) t) (neg.f64 z))
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(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(/ (- (+ x y) z) t)
(/.f64 (-.f64 (+.f64 y x) z) t)
(* 1/2 (/ (- (+ x y) z) t))
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))
(/ (- x z) t)
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(/ t (- (+ x y) z))
(/.f64 t (-.f64 (+.f64 y x) z))
(* -1 (/ (+ (* -1 y) (* -1 (- x z))) t))
(/.f64 (-.f64 (+.f64 y x) z) t)
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(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64))

rewrite255.0ms (3.6%)

Memory
0.9MiB live, 193.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02282
02982
115982
2134382
0899982
Stop Event
iter limit
node limit
iter limit
Counts
8 → 482
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64))
(/.f64 (-.f64 x z) t)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
(/.f64 t (-.f64 x z))
(-.f64 x z)
Outputs
(*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 (+.f64 y x) z)) (pow.f64 t #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x z) y) t) (-.f64 (-.f64 x z) y)))
(*.f64 (-.f64 (pow.f64 (/.f64 t (-.f64 x z)) #s(literal -2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (-.f64 x z) y) t) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 (+.f64 y x) z))
(*.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 x z)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 y t) (/.f64 (-.f64 y (-.f64 x z)) t) (pow.f64 (/.f64 t (-.f64 x z)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y t (*.f64 t (-.f64 x z))) (pow.f64 t #s(literal -2 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (-.f64 x z) y) t) (-.f64 (pow.f64 (/.f64 t (-.f64 x z)) #s(literal -2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y t) (/.f64 (-.f64 y (-.f64 x z)) t) (pow.f64 (/.f64 t (-.f64 x z)) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 t (-.f64 x z)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t t) (fma.f64 y t (*.f64 t (-.f64 x z)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 y t (*.f64 t (-.f64 x z))) t)) (neg.f64 t))
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#s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z)))
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(-.f64 x z)
(+.f64 (neg.f64 z) x)
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eval96.0ms (1.3%)

Memory
17.7MiB live, 137.7MiB allocated
Compiler

Compiled 19 843 to 2 899 computations (85.4% saved)

prune17.0ms (0.2%)

Memory
-26.5MiB live, 46.7MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New5881589
Fresh000
Picked112
Done088
Total58910599
Accuracy
100.0%
Counts
599 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
72.5%
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
72.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
43.3%
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
65.4%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
35.9%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
43.1%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
34.7%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
64.2%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (+ (/ (- x z) t) (/ y t)) (+.f64 (/.f64 x t) (/.f64 y t))) #s(literal 1/2 binary64)))
35.8%
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
Compiler

Compiled 422 to 212 computations (49.8% saved)

regimes113.0ms (1.6%)

Memory
3.5MiB live, 58.0MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (+ (/ (- x z) t) (/ y t)) (+.f64 (/.f64 x t) (/.f64 y t))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

38.0ms
x
5.0ms
(*.f64 t #s(literal 2 binary64))
5.0ms
t
5.0ms
y
5.0ms
(+.f64 x y)
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 24 to 42 computations (-75% saved)

regimes47.0ms (0.7%)

Memory
6.2MiB live, 78.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (-.f64 x z))))
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (+ (/ (- x z) t) (/ y t)) (+.f64 (/.f64 x t) (/.f64 y t))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

9.0ms
(+.f64 x y)
7.0ms
y
5.0ms
(*.f64 t #s(literal 2 binary64))
5.0ms
x
5.0ms
t
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 24 to 42 computations (-75% saved)

regimes47.0ms (0.7%)

Memory
-21.2MiB live, 65.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
Calls

8 calls:

18.0ms
y
6.0ms
(+.f64 x y)
4.0ms
(*.f64 t #s(literal 2 binary64))
4.0ms
(-.f64 (+.f64 x y) z)
4.0ms
t
Results
AccuracySegmentsBranch
93.8%2x
94.2%2y
91.1%3z
82.3%5t
98.4%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
98.4%2(-.f64 (+.f64 x y) z)
99.3%2(+.f64 x y)
82.3%5(*.f64 t #s(literal 2 binary64))
Compiler

Compiled 24 to 42 computations (-75% saved)

regimes18.0ms (0.3%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
Outputs
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
Calls

5 calls:

3.0ms
x
3.0ms
(-.f64 (+.f64 x y) z)
3.0ms
(+.f64 x y)
3.0ms
y
3.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
80.4%2x
90.5%2y
83.2%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
83.2%2(-.f64 (+.f64 x y) z)
90.5%2(+.f64 x y)
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes25.0ms (0.3%)

Memory
-7.7MiB live, 31.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
Calls

5 calls:

12.0ms
(+.f64 x y)
3.0ms
y
3.0ms
(-.f64 (+.f64 x y) z)
3.0ms
z
3.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
65.4%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
65.4%1(-.f64 (+.f64 x y) z)
84.4%3z
71.5%3y
78.8%3(+.f64 x y)
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes33.0ms (0.5%)

Memory
-17.5MiB live, 20.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
Calls

5 calls:

20.0ms
t
3.0ms
(*.f64 t #s(literal 2 binary64))
3.0ms
(+.f64 x y)
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
78.2%3(+.f64 x y)
46.3%2t
46.3%2(*.f64 t #s(literal 2 binary64))
67.8%3x
64.1%4z
Compiler

Compiled 9 to 23 computations (-155.6% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
78.1%3(+.f64 x y)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
78.0%3(+.f64 x y)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))
Calls

5 calls:

1.0ms
y
1.0ms
(-.f64 (+.f64 x y) z)
1.0ms
x
1.0ms
(+.f64 x y)
1.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
59.2%2x
64.8%2(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
64.8%2(-.f64 (+.f64 x y) z)
59.7%2y
64.6%2(+.f64 x y)
Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes54.0ms (0.8%)

Memory
-17.6MiB live, 20.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

46.0ms
y
1.0ms
(*.f64 t #s(literal 2 binary64))
1.0ms
x
1.0ms
(-.f64 (+.f64 x y) z)
1.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
35.8%1t
35.8%1(*.f64 t #s(literal 2 binary64))
35.8%1x
35.8%1y
35.8%1z
35.8%1(+.f64 x y)
35.8%1(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
35.8%1(-.f64 (+.f64 x y) z)
Compiler

Compiled 24 to 42 computations (-75% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.6322453829401794e-202
-5.447862392088194e-217
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.316723176893706e-34
3.794580014797276e-31
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch24.0ms (0.3%)

Memory
28.0MiB live, 28.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.4784759370542075e+110
2.1703037565317315e+111
13.0ms
-5.356158400406759e+85
-2.4980434146724004e+80
Samples
12.0ms240×0valid
Compiler

Compiled 492 to 451 computations (8.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.9% of total)
ival-sub: 1.0ms (17% of total)
ival-add: 1.0ms (17% of total)
ival-mult: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.316723176893706e-34
3.794580014797276e-31
0.0ms
-2.3237201940715893e+82
-1.2217707805775467e+82
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch64.0ms (0.9%)

Memory
-39.3MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
64.0ms
5.316723176893706e-34
3.794580014797276e-31
0.0ms
-2.3237201940715893e+82
-1.2217707805775467e+82
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.316723176893706e-34
3.794580014797276e-31
0.0ms
-2.3237201940715893e+82
-1.2217707805775467e+82
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.42887222321694e-191
-2.241832548793743e-243
Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify74.0ms (1%)

Memory
21.1MiB live, 59.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072386
194386
2126386
3167386
4257386
5419386
6755386
72564386
87731386
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 230000000000000002083474784632736837905171126973157649453154067849434830704964686275392831634012527949453983744 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t))) (if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 x y) z) #s(literal -802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))
Outputs
(/.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 230000000000000002083474784632736837905171126973157649453154067849434830704964686275392831634012527949453983744 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (or (<=.f64 z #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) (not (<=.f64 z #s(literal 230000000000000002083474784632736837905171126973157649453154067849434830704964686275392831634012527949453983744 binary64)))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal -19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t))) (if (<=.f64 (+.f64 x y) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 x y) z) #s(literal -802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)))

soundness812.0ms (11.4%)

Memory
3.1MiB live, 512.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15720
247320
3782820
0826720
04871774
115221658
245721570
082811473
032162
050162
1205140
21686140
08550140
0103214
1314214
2896214
32964194
47953194
08329194
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 598 to 306 computations (48.8% saved)

preprocess75.0ms (1%)

Memory
13.1MiB live, 89.2MiB allocated
Remove

(sort x y)

(negabs t)

Compiler

Compiled 950 to 270 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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