Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample983.0ms (14.1%)

Memory
-5.8MiB live, 597.0MiB allocated
Samples
659.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-mult: 252.0ms (78.4% of total)
ival-sub: 56.0ms (17.4% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain135.0ms (1.9%)

Memory
0.2MiB live, 76.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y z)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 y z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))n*o110
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.8% of total)
ival-sub: 2.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess75.0ms (1.1%)

Memory
6.6MiB live, 52.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02870
16665
215863
331763
460063
580563
699063
7113863
8117763
9117763
077
0107
1177
2327
3697
41657
53417
64317
75127
85487
05487
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify50.0ms (0.7%)

Memory
-16.0MiB live, 21.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11719
23219
36919
416519
534119
643119
751219
854819
054819
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(*.f64 y z)
(*.f64 z y)
y
z

localize58.0ms (0.8%)

Memory
9.1MiB live, 46.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y z)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy2.6475720743548847
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Samples
53.0ms256×0valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 45.0ms (97% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
3 → 16
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
Outputs
(* x (- 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
y
@0
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
x
@0
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
z
@-inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
y
@-inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify231.0ms (3.3%)

Memory
-20.5MiB live, 106.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04382
114482
237982
3102382
4245882
5590682
6779682
0843482
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
(* x (- 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
Outputs
(* x (- 1 (* y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
x
(+ x (* -1 (* x (* y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* y z)
(*.f64 z y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))

rewrite339.0ms (4.9%)

Memory
-0.3MiB live, 233.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13115
217815
3145615
0903313
Stop Event
iter limit
node limit
iter limit
Counts
3 → 385
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 y) z #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 y) z) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) x) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) z) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 z y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (neg.f64 y) z) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64))))
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(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 z y)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64))
(+.f64 (*.f64 z y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 z))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) z)) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) z)) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (neg.f64 y) z))))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) z))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 z z) y)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (fabs.f64 z) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 z))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 y z)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(pow.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) z))
(fabs.f64 (*.f64 z y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 z y))) (sinh.f64 (log.f64 (*.f64 z y))))

eval49.0ms (0.7%)

Memory
15.2MiB live, 100.8MiB allocated
Compiler

Compiled 11 122 to 1 216 computations (89.1% saved)

prune10.0ms (0.1%)

Memory
-4.0MiB live, 34.2MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3847391
Fresh000
Picked101
Done000
Total3857392
Accuracy
100.0%
Counts
392 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.9%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
78.2%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
49.7%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
70.9%
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
46.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 166 to 132 computations (20.5% saved)

simplify40.0ms (0.6%)

Memory
-4.7MiB live, 33.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y y) z)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 y y) z))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x z)
cost-diff0
(fma.f64 (*.f64 x z) (neg.f64 y) x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
cost-diff0
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022122
039122
173122
2158122
3365122
4647122
5924122
61114122
71175122
81207122
91212122
101212122
111252122
121332122
01332122
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
x
z
(neg.f64 y)
y
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(sqrt.f64 z)
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y))) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
#s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y)))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(*.f64 x z)
(*.f64 z x)
x
z
(neg.f64 y)
y
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 (*.f64 (*.f64 y y) z)) x)
x
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y y) z)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(sqrt.f64 z)
#s(literal 1 binary64)

localize87.0ms (1.2%)

Memory
7.9MiB live, 127.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
accuracy2.1622169975651238
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
accuracy5.647768163704424
(*.f64 (*.f64 y y) z)
accuracy14.687094939951393
(sqrt.f64 (*.f64 (*.f64 y y) z))
accuracy0.0
(*.f64 x z)
accuracy0.0
(neg.f64 y)
accuracy4.063477908904108
(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy2.1661232475651238
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
accuracy22.11913430499628
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy2.1661232475651238
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
accuracy23.53087828425869
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x (neg.f64 y))
accuracy0.0
(neg.f64 y)
accuracy2.2082465984227415
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Samples
37.0ms72×0invalid
35.0ms184×0valid
Compiler

Compiled 236 to 47 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 41.0ms (80.9% of total)
ival-add: 4.0ms (7.9% of total)
ival-sqrt: 3.0ms (5.9% of total)
ival-sub: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.8%)

Memory
-6.2MiB live, 79.4MiB allocated
Counts
14 → 38
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) z)
Outputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(* x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(* (pow y 2) z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (/ 1 y) z))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y z)
(* y (+ z (/ 1 y)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
z
@-inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z))
5.0ms
y
@0
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z))
3.0ms
x
@-inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z))
2.0ms
y
@inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z))
2.0ms
x
@0
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1) (sqrt (* (* y y) z)) (* (* y y) z))

simplify137.0ms (2%)

Memory
0.2MiB live, 191.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084196
1273196
2751196
31958196
44902196
08218187
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(* x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(* (pow y 2) z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (/ 1 y) z))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y z)
(* y (+ z (/ 1 y)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
Outputs
(* x (+ 1 (* -1 (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* x z)
(*.f64 z x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* -1 (* x (- (* y z) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y x) (neg.f64 z))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* x (* y z))
(*.f64 (*.f64 z x) y)
(* y (+ (* x z) (/ x y)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* y z)
(*.f64 z y)
(* y (+ z (/ 1 y)))
(fma.f64 z y #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y (sqrt z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* z (+ y (/ 1 z)))
(fma.f64 z y #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 z x) y)
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(fma.f64 z y #s(literal 1 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)

rewrite168.0ms (2.4%)

Memory
-8.7MiB live, 270.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02298
03993
113190
269978
3663578
0809173
Stop Event
iter limit
node limit
iter limit
Counts
14 → 786
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) z)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (pow.f64 (*.f64 z y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x)) (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (/.f64 (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(*.f64 x (-.f64 (*.f64 z y) #s(literal -1 binary64)))
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (neg.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))) (*.f64 (*.f64 x (/.f64 x (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))) (*.f64 x (/.f64 x (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 x (/.f64 x (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))) (*.f64 x (/.f64 x (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (*.f64 x (/.f64 x (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (*.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) x x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z y) x) x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x)) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))))
(neg.f64 (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) x))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
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(fma.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 z z) y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 z y) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 z y) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 z y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y (fabs.f64 z) #s(literal 1 binary64))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal -1 binary64))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal -1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 z y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 z) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) y))
(+.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (neg.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))))
(*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (fabs.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 z)) y)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (neg.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) y))
(sqrt.f64 (*.f64 (*.f64 y y) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (sqrt.f64 z) y))) (sinh.f64 (log.f64 (*.f64 (sqrt.f64 z) y))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) y)) (fabs.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (neg.f64 z) (*.f64 y y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 z y)))
(*.f64 (*.f64 z y) y)
(*.f64 (sqrt.f64 z) (*.f64 y (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (neg.f64 z))
(*.f64 (*.f64 y y) z)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 z y))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 y y) z))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 z)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 z))) (sinh.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 z))))

eval58.0ms (0.8%)

Memory
30.7MiB live, 139.7MiB allocated
Compiler

Compiled 10 245 to 1 439 computations (86% saved)

prune44.0ms (0.6%)

Memory
-3.8MiB live, 86.9MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5033506
Fresh022
Picked145
Done000
Total5049513
Accuracy
100.0%
Counts
513 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.9%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
78.2%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
70.9%
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
34.1%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
46.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
47.5%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
2.6%
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
Compiler

Compiled 207 to 155 computations (25.1% saved)

simplify143.0ms (2.1%)

Memory
-0.9MiB live, 115.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
cost-diff2
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
cost-diff10
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(*.f64 (sqrt.f64 z) y)
cost-diff0
#s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z))))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
cost-diff4
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) (neg.f64 z))
cost-diff0
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 (*.f64 z x) y)
cost-diff0
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
cost-diff0
(*.f64 z y)
cost-diff0
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff4
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046245
070237
1136225
2310212
3950212
42172207
53208207
64359207
76278195
87886195
08057194
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
z
x
y
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 y x)
y
x
(neg.f64 z)
z
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
x
#s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(neg.f64 (sqrt.f64 z))
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
x
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
(neg.f64 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 2 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 x z) y)
(*.f64 z x)
(*.f64 x z)
z
x
y
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 y x)
(*.f64 x y)
y
x
(neg.f64 z)
z
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) x)
x
#s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z))))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 z) y)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(neg.f64 (sqrt.f64 z))
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) #s(literal 1 binary64))))
x
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
(neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 (neg.f64 y) y) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)

localize112.0ms (1.6%)

Memory
3.4MiB live, 160.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.1661232475651238
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
accuracy2.4452317836440436
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
accuracy5.647768163704424
(*.f64 (*.f64 y y) z)
accuracy11.274514393382294
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))
accuracy0.15625
(*.f64 (sqrt.f64 z) y)
accuracy0.203125
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))
accuracy2.1661232475651238
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
accuracy22.11913430499628
#s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z))))
accuracy0.0
(*.f64 y x)
accuracy0.0
(neg.f64 z)
accuracy3.54281890846002
(*.f64 (*.f64 y x) (neg.f64 z))
accuracy21.988174252597915
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
accuracy0.0
(*.f64 z x)
accuracy4.3880131027154485
(*.f64 (*.f64 z x) y)
accuracy36.407922878446115
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
accuracy0.178066259768442
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy2.3827854227487664
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy7.147911163328893
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
Samples
56.0ms184×0valid
32.0ms72×0invalid
Compiler

Compiled 471 to 89 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 41.0ms (59.4% of total)
ival-add: 9.0ms (13% of total)
ival-neg: 4.0ms (5.8% of total)
ival-div: 3.0ms (4.3% of total)
ival-sqrt: 3.0ms (4.3% of total)
ival-pow: 3.0ms (4.3% of total)
ival-pow2: 3.0ms (4.3% of total)
ival-sub: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series131.0ms (1.9%)

Memory
-9.9MiB live, 104.7MiB allocated
Counts
22 → 90
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 y x)
(neg.f64 z)
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
#s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (*.f64 y y) z)
Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (* y z))
(* x z)
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(* x y)
(* x (- 1 (* y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/ x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* y z)
(+ x (* x (* y z)))
(* -1 (* y z))
(+ 1 (* -1 (* y z)))
(* y (sqrt z))
(* -1 (* (pow y 2) (pow z 2)))
(+ 1 (* y (- (* y (pow z 2)) z)))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(+ x (* y (- (* x (* y (pow z 2))) (* x z))))
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(* (pow y 2) z)
(* y (+ (* -1 (* x z)) (/ x y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* y (+ (* x z) (/ x y)))
(* y (- (/ 1 y) z))
(* y (+ (* -1 z) (/ 1 y)))
(/ 1 (* y z))
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(/ x (* y z))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(* -1 z)
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* z (+ (* x y) (/ x z)))
(* z (- (/ 1 z) y))
(* z (+ (* -1 y) (/ 1 z)))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* y (* z (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (- y (/ 1 z))))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
Calls

9 calls:

TimeVariablePointExpression
62.0ms
y
@-inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* y x) (neg z) (* (* (sqrt z) y) (neg (sqrt z))) (* x (- 1 (* y z))) (- 1 (* y z)) (* (sqrt z) y) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* (neg (* (* y y) z)) z) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (/ x (+ (* z y) 1)) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z))
25.0ms
z
@-inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* y x) (neg z) (* (* (sqrt z) y) (neg (sqrt z))) (* x (- 1 (* y z))) (- 1 (* y z)) (* (sqrt z) y) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* (neg (* (* y y) z)) z) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (/ x (+ (* z y) 1)) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z))
10.0ms
z
@inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* y x) (neg z) (* (* (sqrt z) y) (neg (sqrt z))) (* x (- 1 (* y z))) (- 1 (* y z)) (* (sqrt z) y) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* (neg (* (* y y) z)) z) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (/ x (+ (* z y) 1)) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z))
9.0ms
x
@inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* y x) (neg z) (* (* (sqrt z) y) (neg (sqrt z))) (* x (- 1 (* y z))) (- 1 (* y z)) (* (sqrt z) y) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* (neg (* (* y y) z)) z) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (/ x (+ (* z y) 1)) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z))
5.0ms
y
@inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* z x) y) (* z x) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* y x) (neg z) (* (* (sqrt z) y) (neg (sqrt z))) (* x (- 1 (* y z))) (- 1 (* y z)) (* (sqrt z) y) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* (neg (* (* y y) z)) z) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (/ x (+ (* z y) 1)) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z))

simplify490.0ms (7%)

Memory
3.8MiB live, 159.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03661282
111791225
236441193
083161171
Stop Event
iter limit
node limit
Counts
90 → 89
Calls
Call 1
Inputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (* y z))
(* x z)
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(* x y)
(* x (- 1 (* y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/ x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* y z)
(+ x (* x (* y z)))
(* -1 (* y z))
(+ 1 (* -1 (* y z)))
(* y (sqrt z))
(* -1 (* (pow y 2) (pow z 2)))
(+ 1 (* y (- (* y (pow z 2)) z)))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(+ x (* y (- (* x (* y (pow z 2))) (* x z))))
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(* (pow y 2) z)
(* y (+ (* -1 (* x z)) (/ x y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* y (+ (* x z) (/ x y)))
(* y (- (/ 1 y) z))
(* y (+ (* -1 z) (/ 1 y)))
(/ 1 (* y z))
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(/ x (* y z))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(* -1 z)
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* z (+ (* x y) (/ x z)))
(* z (- (/ 1 z) y))
(* z (+ (* -1 y) (/ 1 z)))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* y (* z (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (- y (/ 1 z))))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* x z)
(*.f64 x z)
(* x (+ 1 (* -1 (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 y) (*.f64 x z))
(* x y)
(*.f64 x y)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
(* -1 (* x (- (* y z) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y z) #s(literal 1 binary64)))
x
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 y y) z) z)
(* y z)
(*.f64 y z)
(+ x (* x (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 z z) y))
(+ 1 (* y (- (* y (pow z 2)) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 z z) y) z) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 z z)) y) z) y #s(literal 1 binary64))
(+ x (* y (- (* x (* y (pow z 2))) (* x z))))
(*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 z z) y) z) y #s(literal 1 binary64)))
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z))))
(fma.f64 (fma.f64 (neg.f64 x) z (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 z z))) y)) y x)
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y z #s(literal -1 binary64))) (*.f64 z z))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) y (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 y y))
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 z z)) (*.f64 y y))
(* y (+ (* x z) (/ x y)))
(*.f64 (fma.f64 x z (/.f64 x y)) y)
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y) z)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) z) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) z) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) z) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) y)
(/ x (* y z))
(/.f64 (/.f64 x z) y)
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 (*.f64 y y) z))) z)
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 x z) z)) y) (/.f64 x z)) y)
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 x z) z)) y)) y)
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) y)
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(fma.f64 (neg.f64 y) z (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z) y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(/.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 (*.f64 y y) z))) z)
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 x z) z)) y) (/.f64 x z)) y)
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 x z) z)) y) (/.f64 x z)) y)
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) y)
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(*.f64 (neg.f64 y) (-.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y) z)) y)))
(* -1 z)
(neg.f64 z)
(+ 1 (* z (- (* (pow y 2) z) y)))
(fma.f64 (-.f64 (*.f64 (*.f64 y y) z) y) z #s(literal 1 binary64))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y)) z) y) z #s(literal 1 binary64))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 y y) z) y) z #s(literal 1 binary64)))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(fma.f64 (fma.f64 (neg.f64 y) x (*.f64 (*.f64 x (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y))) z)) z x)
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y z #s(literal -1 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 y y)) (*.f64 z z))
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 x y (/.f64 x z)) z)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) z)
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 (*.f64 y y) z))) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (/.f64 x y) y)) z) (/.f64 x y)) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (/.f64 x y) y)) z) (/.f64 x y)) z)
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(*.f64 (neg.f64 z) (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(fma.f64 (neg.f64 y) z (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y) z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 x y (/.f64 x z)) z)
(* y (* z (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) z)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (- y (/ 1 z))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(/.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 (*.f64 y y) z))) z)
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (/.f64 x y) y)) z) (/.f64 x y)) z)
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (/.f64 x y) y)) z) (/.f64 x y)) z)
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(*.f64 (neg.f64 z) (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
(*.f64 (neg.f64 z) (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y) z)) z)))

rewrite245.0ms (3.5%)

Memory
6.1MiB live, 177.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046204
070197
1236177
21440138
09340138
Stop Event
iter limit
node limit
iter limit
Counts
22 → 900
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 y x)
(neg.f64 z)
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
#s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (*.f64 y y) z)
Outputs
(*.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64)))) (-.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 6 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 y z)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (*.f64 y z)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 y z))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y z)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y z)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (*.f64 x (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 x (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 y z #s(literal -1 binary64)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 y z #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 y z #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 y y) z) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 z (/.f64 z (fma.f64 y z #s(literal 1 binary64)))))
(*.f64 (*.f64 y y) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 y z #s(literal 1 binary64)))))
(*.f64 z (/.f64 (*.f64 (*.f64 y y) z) (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))))
(/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))))))
(/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64)))))
(/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal -1 binary64)))
(/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))
(neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal -1 binary64))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal -1 binary64))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal -1 binary64))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) y)) (fabs.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (neg.f64 (sqrt.f64 z)) y))
(*.f64 (*.f64 y y) (neg.f64 z))
(*.f64 (*.f64 y y) z)
(*.f64 (neg.f64 z) (*.f64 y y))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 y z) y)
(*.f64 y (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 y z))
(*.f64 z (*.f64 y y))
(pow.f64 (pow.f64 (*.f64 (*.f64 y y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 y y) z) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 y y) z))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y y) z) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

eval524.0ms (7.5%)

Memory
-14.1MiB live, 138.5MiB allocated
Compiler

Compiled 20 432 to 2 802 computations (86.3% saved)

prune220.0ms (3.2%)

Memory
-3.2MiB live, 43.1MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New8014805
Fresh000
Picked235
Done044
Total80311814
Accuracy
100.0%
Counts
814 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.9%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
69.9%
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
70.1%
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
34.1%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
46.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
47.5%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
45.4%
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
2.6%
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
2.6%
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
Compiler

Compiled 158 to 119 computations (24.7% saved)

simplify228.0ms (3.3%)

Memory
23.3MiB live, 134.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 y z) z)
cost-diff0
(fabs.f64 (*.f64 (*.f64 y z) z))
cost-diff0
(fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (*.f64 x z))
cost-diff0
#s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))
cost-diff0
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038181
058181
1121180
2296180
3927180
42194180
54032180
66144180
08123179
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))
(*.f64 (neg.f64 y) (*.f64 x z))
(neg.f64 y)
y
(*.f64 x z)
x
z
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64))
(fabs.f64 (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
#s(literal 1 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(neg.f64 z)
#s(literal 1 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
Outputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 x y) z)
(*.f64 (*.f64 y x) z)
(*.f64 x y)
(*.f64 y x)
x
y
z
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (*.f64 (neg.f64 x) z) y)))
#s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))
#s(approx (* (* y x) (neg z)) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (neg.f64 y) (*.f64 x z))
(*.f64 (*.f64 (neg.f64 x) z) y)
(neg.f64 y)
y
(*.f64 x z)
(*.f64 z x)
x
z
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 (fabs.f64 y) y) (*.f64 z z) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 y) y) (*.f64 z z) #s(literal 1 binary64))
(fabs.f64 (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 (fabs.f64 y) z) z)
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z y) z)
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 1 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (*.f64 (*.f64 y y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(neg.f64 z)
#s(literal 1 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))

localize252.0ms (3.6%)

Memory
11.2MiB live, 129.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.5244137459012592
(fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64))
accuracy2.3827854227487664
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy5.647768163704424
(*.f64 (*.f64 y y) z)
accuracy7.147911163328893
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
accuracy0.1015625
(*.f64 (*.f64 y z) z)
accuracy2.3827854227487664
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy3.05547571376983
(fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64))
accuracy6.902401030063012
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
accuracy0.0
(neg.f64 y)
accuracy0.0
#s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))
accuracy4.3880131027154485
(*.f64 (neg.f64 y) (*.f64 x z))
accuracy21.988174252597915
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
accuracy0.0
(*.f64 x y)
accuracy3.54281890846002
(*.f64 (*.f64 x y) z)
accuracy36.407922878446115
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
Samples
202.0ms184×0valid
30.0ms72×0invalid
Compiler

Compiled 347 to 75 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-sqrt: 165.0ms (76.1% of total)
ival-mult: 41.0ms (18.9% of total)
ival-add: 5.0ms (2.3% of total)
ival-div: 2.0ms (0.9% of total)
ival-neg: 2.0ms (0.9% of total)
ival-fabs: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory
11.2MiB live, 49.0MiB allocated
Counts
16 → 72
Calls
Call 1
Inputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))
(*.f64 (neg.f64 y) (*.f64 x z))
(neg.f64 y)
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64))
(fabs.f64 (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
Outputs
(* x (+ 1 (* y z)))
(* x (* y z))
(* x y)
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* x (* y z)))
(+ x (* -1 (* x (* y z))))
(* -1 y)
(+ x (* y (- (* x (fabs (* y (pow z 2)))) (* x z))))
(+ x (* y (- (+ (* -1 (* y (* z (- (* x (fabs (* y (pow z 2)))) (* x z))))) (* x (fabs (* y (pow z 2))))) (* x z))))
(+ x (* y (- (+ (* x (fabs (* y (pow z 2)))) (* y (- (* y (* (pow z 2) (- (* x (fabs (* y (pow z 2)))) (* x z)))) (* z (- (* x (fabs (* y (pow z 2)))) (* x z)))))) (* x z))))
1
(+ 1 (* y (fabs (* y (pow z 2)))))
(fabs (* y (pow z 2)))
(* y (pow z 2))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) z)
(pow y 2)
(+ x (* y (- (* x (* y (pow z 2))) (* x z))))
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z))))
(* y (+ (* x z) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(/ (* x (fabs (* y (pow z 2)))) z)
(- (+ (/ x (* y z)) (/ (* x (fabs (* y (pow z 2)))) z)) (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2))))
(- (+ (/ x (* y z)) (+ (/ (* x (fabs (* y (pow z 2)))) z) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 2) (pow z 3))))) (+ (/ x (* (pow y 2) (pow z 2))) (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2)))))
(- (+ (/ x (* y z)) (+ (/ x (* (pow y 3) (pow z 3))) (+ (/ (* x (fabs (* y (pow z 2)))) z) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 2) (pow z 3)))))) (+ (/ x (* (pow y 2) (pow z 2))) (+ (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2))) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 3) (pow z 4))))))
(* y (fabs (* y (pow z 2))))
(* y (+ (fabs (* y (pow z 2))) (/ 1 y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))
(/ x (* y z))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(+ (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(+ (* -1 (/ (- (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) (* y z)))) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(+ (* -1 (/ (- (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) (* y (pow z 2)))) (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) z))) y))) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(* -1 (* y (- (* -1 (fabs (* y (pow z 2)))) (/ 1 y))))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y))
(* x (+ 1 (* y (fabs (* y (pow z 2))))))
(+ (* -1 (* x (* y (* z (+ 1 (* y (fabs (* y (pow z 2))))))))) (* x (+ 1 (* y (fabs (* y (pow z 2)))))))
(+ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* z (- (* x (* (pow y 2) (* z (+ 1 (* y (fabs (* y (pow z 2)))))))) (* x (* y (+ 1 (* y (fabs (* y (pow z 2))))))))))
(+ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* z (- (* z (- (* -1 (* x (* (pow y 3) (* z (+ 1 (* y (fabs (* y (pow z 2))))))))) (* -1 (* x (* (pow y 2) (+ 1 (* y (fabs (* y (pow z 2)))))))))) (* x (* y (+ 1 (* y (fabs (* y (pow z 2))))))))))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(* z (+ (* x y) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* y z))
(/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) z)
(/ (- (+ (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) (pow z 2)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 4) (pow z 3)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) (pow z 2)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z)))) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (* -1 (/ (- (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (* -1 (/ (- (* -1 (/ (- (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 4) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 3))) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
x
@inf
((* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* (neg y) (* x z)) (neg y) (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (+ (* (fabs (* (* y z) z)) y) 1) (fabs (* (* y z) z)) (* (* y z) z) (* (+ (* (* (* y y) z) (neg z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (* y y) z) (neg z)) 1) (* (* y y) z) (* y y) (/ x (+ (* z y) 1)))
4.0ms
y
@-inf
((* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* (neg y) (* x z)) (neg y) (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (+ (* (fabs (* (* y z) z)) y) 1) (fabs (* (* y z) z)) (* (* y z) z) (* (+ (* (* (* y y) z) (neg z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (* y y) z) (neg z)) 1) (* (* y y) z) (* y y) (/ x (+ (* z y) 1)))
4.0ms
x
@0
((* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* (neg y) (* x z)) (neg y) (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (+ (* (fabs (* (* y z) z)) y) 1) (fabs (* (* y z) z)) (* (* y z) z) (* (+ (* (* (* y y) z) (neg z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (* y y) z) (neg z)) 1) (* (* y y) z) (* y y) (/ x (+ (* z y) 1)))
4.0ms
x
@-inf
((* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* (neg y) (* x z)) (neg y) (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (+ (* (fabs (* (* y z) z)) y) 1) (fabs (* (* y z) z)) (* (* y z) z) (* (+ (* (* (* y y) z) (neg z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (* y y) z) (neg z)) 1) (* (* y y) z) (* y y) (/ x (+ (* z y) 1)))
3.0ms
y
@inf
((* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* y x) (neg z)) (* (neg y) (* x z)) (neg y) (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (+ (* (fabs (* (* y z) z)) y) 1) (fabs (* (* y z) z)) (* (* y z) z) (* (+ (* (* (* y y) z) (neg z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (* y y) z) (neg z)) 1) (* (* y y) z) (* y y) (/ x (+ (* z y) 1)))

simplify189.0ms (2.7%)

Memory
-14.3MiB live, 234.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231598
111061511
244371412
082491342
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
(* x (+ 1 (* y z)))
(* x (* y z))
(* x y)
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* x (* y z)))
(+ x (* -1 (* x (* y z))))
(* -1 y)
(+ x (* y (- (* x (fabs (* y (pow z 2)))) (* x z))))
(+ x (* y (- (+ (* -1 (* y (* z (- (* x (fabs (* y (pow z 2)))) (* x z))))) (* x (fabs (* y (pow z 2))))) (* x z))))
(+ x (* y (- (+ (* x (fabs (* y (pow z 2)))) (* y (- (* y (* (pow z 2) (- (* x (fabs (* y (pow z 2)))) (* x z)))) (* z (- (* x (fabs (* y (pow z 2)))) (* x z)))))) (* x z))))
1
(+ 1 (* y (fabs (* y (pow z 2)))))
(fabs (* y (pow z 2)))
(* y (pow z 2))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) z)
(pow y 2)
(+ x (* y (- (* x (* y (pow z 2))) (* x z))))
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z))))
(* y (+ (* x z) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(/ (* x (fabs (* y (pow z 2)))) z)
(- (+ (/ x (* y z)) (/ (* x (fabs (* y (pow z 2)))) z)) (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2))))
(- (+ (/ x (* y z)) (+ (/ (* x (fabs (* y (pow z 2)))) z) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 2) (pow z 3))))) (+ (/ x (* (pow y 2) (pow z 2))) (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2)))))
(- (+ (/ x (* y z)) (+ (/ x (* (pow y 3) (pow z 3))) (+ (/ (* x (fabs (* y (pow z 2)))) z) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 2) (pow z 3)))))) (+ (/ x (* (pow y 2) (pow z 2))) (+ (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2))) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 3) (pow z 4))))))
(* y (fabs (* y (pow z 2))))
(* y (+ (fabs (* y (pow z 2))) (/ 1 y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))
(/ x (* y z))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(+ (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(+ (* -1 (/ (- (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) (* y z)))) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(+ (* -1 (/ (- (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) (* y (pow z 2)))) (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) z))) y))) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(* -1 (* y (- (* -1 (fabs (* y (pow z 2)))) (/ 1 y))))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y))
(* x (+ 1 (* y (fabs (* y (pow z 2))))))
(+ (* -1 (* x (* y (* z (+ 1 (* y (fabs (* y (pow z 2))))))))) (* x (+ 1 (* y (fabs (* y (pow z 2)))))))
(+ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* z (- (* x (* (pow y 2) (* z (+ 1 (* y (fabs (* y (pow z 2)))))))) (* x (* y (+ 1 (* y (fabs (* y (pow z 2))))))))))
(+ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* z (- (* z (- (* -1 (* x (* (pow y 3) (* z (+ 1 (* y (fabs (* y (pow z 2))))))))) (* -1 (* x (* (pow y 2) (+ 1 (* y (fabs (* y (pow z 2)))))))))) (* x (* y (+ 1 (* y (fabs (* y (pow z 2))))))))))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(* z (+ (* x y) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* y z))
(/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) z)
(/ (- (+ (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) (pow z 2)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 4) (pow z 3)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) (pow z 2)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z)))) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (* -1 (/ (- (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (* -1 (/ (- (* -1 (/ (- (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 4) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 3))) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
Outputs
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x y)
(*.f64 y x)
(* x (+ 1 (* -1 (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) x) y)
(/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (+ 1 (* y z)))
(*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(* -1 (* x (- (* y z) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 z y) #s(literal 1 binary64)))
x
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* -1 y)
(neg.f64 y)
(+ x (* y (- (* x (fabs (* y (pow z 2)))) (* x z))))
(fma.f64 (*.f64 (fma.f64 (fabs.f64 y) (*.f64 z z) (neg.f64 z)) x) y x)
(+ x (* y (- (+ (* -1 (* y (* z (- (* x (fabs (* y (pow z 2)))) (* x z))))) (* x (fabs (* y (pow z 2))))) (* x z))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (fabs.f64 y) (*.f64 z z) (neg.f64 z))) y (*.f64 (fma.f64 (fabs.f64 y) (*.f64 z z) (neg.f64 z)) x)) y x)
(+ x (* y (- (+ (* x (fabs (* y (pow z 2)))) (* y (- (* y (* (pow z 2) (- (* x (fabs (* y (pow z 2)))) (* x z)))) (* z (- (* x (fabs (* y (pow z 2)))) (* x z)))))) (* x z))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fabs.f64 y) (*.f64 z z) (neg.f64 z)) x) (fma.f64 (*.f64 z z) y (neg.f64 z))) y (*.f64 (fma.f64 (fabs.f64 y) (*.f64 z z) (neg.f64 z)) x)) y x)
1
#s(literal 1 binary64)
(+ 1 (* y (fabs (* y (pow z 2)))))
(fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64))
(fabs (* y (pow z 2)))
(*.f64 (fabs.f64 y) (*.f64 z z))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(pow y 2)
(*.f64 y y)
(+ x (* y (- (* x (* y (pow z 2))) (* x z))))
(fma.f64 (*.f64 (fma.f64 (*.f64 z z) y (neg.f64 z)) x) y x)
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z))))
(fma.f64 (fma.f64 (neg.f64 z) x (*.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 z #s(literal 3 binary64)) y (*.f64 (neg.f64 z) z))) y)) y x)
(* y (+ (* x z) (/ x y)))
(*.f64 (fma.f64 z x (/.f64 x y)) y)
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 z) x (/.f64 x y)) y)
(/ (* x (fabs (* y (pow z 2)))) z)
(*.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (/.f64 x z))
(- (+ (/ x (* y z)) (/ (* x (fabs (* y (pow z 2)))) z)) (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2))))
(fma.f64 x (-.f64 (*.f64 (fabs.f64 y) (/.f64 (*.f64 z z) z)) (/.f64 (fabs.f64 y) y)) (/.f64 (/.f64 x y) z))
(- (+ (/ x (* y z)) (+ (/ (* x (fabs (* y (pow z 2)))) z) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 2) (pow z 3))))) (+ (/ x (* (pow y 2) (pow z 2))) (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2)))))
(fma.f64 x (fma.f64 (fabs.f64 y) (/.f64 (*.f64 z z) z) (/.f64 (/.f64 (fabs.f64 y) z) (*.f64 y y))) (-.f64 (/.f64 (/.f64 x y) z) (/.f64 (fma.f64 (fabs.f64 y) x (/.f64 (/.f64 (/.f64 x y) z) z)) y)))
(- (+ (/ x (* y z)) (+ (/ x (* (pow y 3) (pow z 3))) (+ (/ (* x (fabs (* y (pow z 2)))) z) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 2) (pow z 3)))))) (+ (/ x (* (pow y 2) (pow z 2))) (+ (/ (* x (fabs (* y (pow z 2)))) (* y (pow z 2))) (/ (* x (fabs (* y (pow z 2)))) (* (pow y 3) (pow z 4))))))
(-.f64 (fma.f64 x (fma.f64 (fabs.f64 y) (/.f64 (*.f64 z z) z) (/.f64 (/.f64 (fabs.f64 y) z) (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 (/.f64 x y) z))) (fma.f64 (/.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 (fabs.f64 y) x (/.f64 (/.f64 (/.f64 x y) z) z)) y)))
(* y (fabs (* y (pow z 2))))
(*.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z))
(* y (+ (fabs (* y (pow z 2))) (/ 1 y)))
(fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64))
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (neg.f64 z) (*.f64 (*.f64 y y) z))
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
(/ x (* y z))
(/.f64 (/.f64 x y) z)
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y) x) z) y)
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 x z) z)) y) (/.f64 x z)) y)
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (fma.f64 (/.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) y)) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 x y) z) z))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 (neg.f64 z) x (/.f64 x y)) y)
(+ (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(fma.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (/.f64 x z) (/.f64 (fma.f64 (fabs.f64 y) x (/.f64 (neg.f64 x) z)) (neg.f64 y)))
(+ (* -1 (/ (- (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) (* y z)))) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
(fma.f64 (*.f64 (fabs.f64 y) (/.f64 (*.f64 z z) z)) x (/.f64 (fma.f64 (fabs.f64 y) x (/.f64 (+.f64 (/.f64 (fma.f64 (fabs.f64 y) x (/.f64 (neg.f64 x) z)) y) x) (neg.f64 z))) (neg.f64 y)))
(+ (* -1 (/ (- (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) (* y (pow z 2)))) (* -1 (/ (- (* -1 (/ x z)) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) z))) y))) (* -1 (/ (* x (fabs (* y (pow z 2)))) (pow z 2)))) y)) (/ (* x (fabs (* y (pow z 2)))) z))
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(* -1 (* y (- (* -1 (fabs (* y (pow z 2)))) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (fabs.f64 y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (/.f64 x y) z)) z) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(/.f64 (-.f64 (/.f64 (neg.f64 x) z) (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 x z) z)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y))
(/.f64 (-.f64 (/.f64 (neg.f64 x) z) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 x z) z)) y)) (neg.f64 y))
(* x (+ 1 (* y (fabs (* y (pow z 2))))))
(fma.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (*.f64 y x) x)
(+ (* -1 (* x (* y (* z (+ 1 (* y (fabs (* y (pow z 2))))))))) (* x (+ 1 (* y (fabs (* y (pow z 2)))))))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 z y)) (fma.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (*.f64 y x) x))
(+ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* z (- (* x (* (pow y 2) (* z (+ 1 (* y (fabs (* y (pow z 2)))))))) (* x (* y (+ 1 (* y (fabs (* y (pow z 2))))))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) z (neg.f64 y))) x) z (fma.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (*.f64 y x) x))
(+ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* z (- (* z (- (* -1 (* x (* (pow y 3) (* z (+ 1 (* y (fabs (* y (pow z 2))))))))) (* -1 (* x (* (pow y 2) (+ 1 (* y (fabs (* y (pow z 2)))))))))) (* x (* y (+ 1 (* y (fabs (* y (pow z 2))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) y) x (*.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) y) y))) z)) z (fma.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (*.f64 y x) x))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) z (neg.f64 y)) x) z x)
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(fma.f64 (fma.f64 (neg.f64 y) x (*.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) z (*.f64 (neg.f64 y) y))) z)) z x)
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 y x (/.f64 x z)) z)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
(/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* y z))
(*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 x y) z))
(/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) z)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (/.f64 x (*.f64 (*.f64 y y) z)))) z)
(/ (- (+ (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) (pow z 2)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) z)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) y) x (/.f64 (*.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 y y)))) z)) z)
(/ (- (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 4) (pow z 3)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) (pow z 2)))) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z)))) z)
(/.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) y) x (/.f64 (*.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 y y)))) z))) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y) x) z) y)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (/.f64 x y) y)) z) (/.f64 x y)) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (/.f64 x (*.f64 (*.f64 y y) z))) z) (neg.f64 (/.f64 x (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 z y) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 y x (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 2) z))) z))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (/.f64 x (*.f64 (*.f64 y y) z)))) z)
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (* -1 (/ (- (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 3) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 2))) z))) z))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) y) x (/.f64 (*.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 y y)))) z)) z))
(* -1 (/ (+ (* -1 (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) y)) (* -1 (/ (- (* -1 (/ (- (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (* (pow y 4) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 3))) z)) (/ (* x (+ 1 (* y (fabs (* y (pow z 2)))))) (pow y 2))) z))) z))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) y) x (/.f64 (-.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 z)) (*.f64 (fma.f64 (*.f64 y (fabs.f64 y)) (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))) z)) z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (/.f64 x y) z)) z) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (/.f64 x y) y)) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (/.f64 x y) y)) z)) (neg.f64 z))

rewrite162.0ms (2.3%)

Memory
-17.5MiB live, 146.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038145
058142
1193137
21205105
09713105
Stop Event
iter limit
node limit
iter limit
Counts
16 → 644
Calls
Call 1
Inputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))
(*.f64 (neg.f64 y) (*.f64 x z))
(neg.f64 y)
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64))
(fabs.f64 (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
Outputs
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 y x) z))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) z)) y)
(*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) (*.f64 z y))
(*.f64 (neg.f64 z) (*.f64 y x))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z y) (neg.f64 x))
(*.f64 (*.f64 z y) x)
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) x))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) x))
(*.f64 z (*.f64 y x))
(*.f64 y (neg.f64 (*.f64 (neg.f64 x) z)))
(*.f64 y (*.f64 (neg.f64 x) z))
(*.f64 y (*.f64 z x))
(*.f64 x (*.f64 z y))
(neg.f64 (*.f64 (*.f64 y x) z))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 y x))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) #s(approx (* (* y x) (neg z)) (*.f64 (*.f64 y x) z)))
#s(approx (* (* y x) (neg z)) (*.f64 (*.f64 y x) z))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) z)) y)
(*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) (*.f64 z y))
(*.f64 (neg.f64 z) (*.f64 y x))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z y) (neg.f64 x))
(*.f64 (*.f64 z y) x)
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) x))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) x))
(*.f64 z (*.f64 y x))
(*.f64 y (neg.f64 (*.f64 (neg.f64 x) z)))
(*.f64 y (*.f64 (neg.f64 x) z))
(*.f64 y (*.f64 z x))
(*.f64 x (*.f64 z y))
(neg.f64 (*.f64 (*.f64 y x) z))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 y #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 z y) #s(literal 1 binary64)))) (-.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 x (-.f64 (*.f64 z y) #s(literal -1 binary64)))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64))))
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(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 z y #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 z y #s(literal 1 binary64))))

eval112.0ms (1.6%)

Memory
-7.9MiB live, 108.4MiB allocated
Compiler

Compiled 13 175 to 1 402 computations (89.4% saved)

prune18.0ms (0.3%)

Memory
5.0MiB live, 43.5MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New4602462
Fresh000
Picked134
Done167
Total46211473
Accuracy
100.0%
Counts
473 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.9%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
70.1%
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
22.2%
(*.f64 #s(approx (+ (* (* (* y y) z) (neg z)) 1) (*.f64 (neg.f64 z) (*.f64 (*.f64 y y) z))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
46.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
47.5%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
45.4%
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
23.4%
#s(approx (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (*.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (/.f64 x z)))
2.6%
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
2.6%
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
Compiler

Compiled 449 to 230 computations (48.8% saved)

regimes32.0ms (0.5%)

Memory
27.6MiB live, 64.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
#s(approx (* (+ (* (fabs (* (* y z) z)) y) 1) (/ x (+ (* z y) 1))) (*.f64 (*.f64 (fabs.f64 y) (*.f64 z z)) (/.f64 x z)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (sqrt.f64 z)))))
(*.f64 #s(approx (+ (* (* (* y y) z) (neg z)) 1) (*.f64 (neg.f64 z) (*.f64 (*.f64 y y) z))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (fma.f64 (fabs.f64 (*.f64 (*.f64 y z) z)) y #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))))
Outputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Calls

6 calls:

7.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
5.0ms
x
5.0ms
y
5.0ms
z
5.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
98.7%2x
95.9%1y
98.0%2z
99.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
99.9%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
99.9%3(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes10.0ms (0.1%)

Memory
-17.1MiB live, 21.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
Outputs
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
Calls

3 calls:

4.0ms
x
3.0ms
(*.f64 y z)
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
99.9%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
99.9%3(*.f64 y z)
98.2%2x
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes29.0ms (0.4%)

Memory
-11.2MiB live, 40.0MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
Calls

6 calls:

17.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
76.5%3y
78.0%3z
56.4%3x
86.0%4(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.4%4(-.f64 #s(literal 1 binary64) (*.f64 y z))
95.4%4(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
Outputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))
Calls

2 calls:

2.0ms
(*.f64 y z)
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
93.8%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
93.8%3(*.f64 y z)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
Outputs
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))
Calls

2 calls:

2.0ms
(*.f64 y z)
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
91.6%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
91.6%3(*.f64 y z)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.3%)

Memory
-10.5MiB live, 28.8MiB allocated
Accuracy

Total -30.3b remaining (-94.6%)

Threshold costs -30.3b (-94.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 x y) z))
#s(approx (* x (+ (* (sqrt (* (* y y) z)) (sqrt z)) 1)) (*.f64 (*.f64 z x) y))
Outputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Calls

6 calls:

11.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
49.9%1x
49.9%1y
49.9%1z
49.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
49.9%1(-.f64 #s(literal 1 binary64) (*.f64 y z))
49.9%1(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
1.7507243819140334e-86
2.4441126727631787e-86
Samples
1.0ms32×0valid
Compiler

Compiled 38 to 43 computations (-13.2% saved)

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

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5976982696661e+218
1.3360194879896596e+222
0.0ms
-inf
-4.784592097371424e+307
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5976982696661e+218
1.3360194879896596e+222
0.0ms
1.156633172746988e-5
1.7362613604880097
0.0ms
-2.0495057566515062
-2.4265241715613724e-5
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.156633172746988e-5
1.7362613604880097
0.0ms
-2.0495057566515062
-2.4265241715613724e-5
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.156633172746988e-5
1.7362613604880097
0.0ms
-2.0495057566515062
-2.4265241715613724e-5
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify55.0ms (0.8%)

Memory
-0.7MiB live, 38.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052233
190227
2148227
3233227
4284227
5298227
6317227
7406227
8664227
9795227
10799227
11799227
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 5599361855444511/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) z x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -inf.0 binary64)) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z))) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z))))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z))) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 x #s(literal 5599361855444511/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) z x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -inf.0 binary64)) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))))
(if (<=.f64 (*.f64 y z) #s(literal -inf.0 binary64)) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 y) x) z))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z))) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z))))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 y) x) z)) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 y) x) z)))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z))) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 y x) (neg.f64 z)))))
(if (or (<=.f64 (*.f64 y z) #s(literal -2 binary64)) (not (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 y) x) z)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y z) #s(literal -2 binary64)) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))) (if (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z))))))
(if (or (<=.f64 (*.f64 y z) #s(literal -2 binary64)) (not (<=.f64 (*.f64 y z) #s(literal 5902958103587057/295147905179352825856 binary64)))) #s(approx (+ (* (* x (neg y)) z) x) #s(approx (* (* y x) (neg z)) (*.f64 (neg.f64 y) (*.f64 x z)))) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

soundness1.3s (18.5%)

Memory
9.5MiB live, 510.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084196
1273196
2751196
31958196
44902196
08218187
03661282
111791225
236441193
083161171
0715
01015
13115
217815
3145615
0903313
04382
114482
237982
3102382
4245882
5590682
6779682
0843482
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 365 to 174 computations (52.3% saved)

preprocess121.0ms (1.7%)

Memory
-7.3MiB live, 83.0MiB allocated
Remove

(negabs x)

Compiler

Compiled 816 to 286 computations (65% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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