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

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample850.0ms (12.2%)

Memory
33.9MiB live, 923.2MiB allocated
Samples
576.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-mult: 147.0ms (73.6% of total)
ival-sub: 40.0ms (20% of total)
ival-true: 6.0ms (3% of total)
exact: 5.0ms (2.5% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain71.0ms (1%)

Memory
-14.3MiB live, 137.1MiB 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
30.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.8% of total)
ival-sub: 2.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (0.7%)

Memory
6.7MiB live, 52.0MiB 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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB 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

localize56.0ms (0.8%)

Memory
-23.5MiB live, 28.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy0.0
(*.f64 y z)
accuracy2.682039447029299
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Samples
52.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.8% of total)
ival-sub: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB 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
x
@inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify175.0ms (2.5%)

Memory
-13.3MiB live, 76.8MiB 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))

rewrite298.0ms (4.3%)

Memory
-13.5MiB live, 94.5MiB 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))))
(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 x (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (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))))

eval87.0ms (1.3%)

Memory
11.2MiB live, 54.4MiB allocated
Compiler

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

prune9.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3838391
Fresh000
Picked011
Done000
Total3839392
Accuracy
100.0%
Counts
392 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
93.9%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
77.5%
(/.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)))
76.4%
(*.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))))
57.9%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
68.1%
(*.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)))))
45.5%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
51.7%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 205 to 163 computations (20.5% saved)

simplify140.0ms (2%)

Memory
-1.0MiB live, 87.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 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-diff6
(+.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 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-diff0
(*.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))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x z)
cost-diff0
(fma.f64 (*.f64 x z) (neg.f64 y) x)
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: 2 (0.0ms)

IterNodesCost
029185
051177
1100166
2237165
3732165
42501165
54320165
66284165
08185165
Stop Event
iter limit
node limit
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)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
x
z
(neg.f64 y)
y
(*.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))
(*.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
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) 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)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 x z)
(*.f64 z x)
x
z
(neg.f64 y)
y
(*.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 #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))
(*.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 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (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 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 y y) z))
(*.f64 (neg.f64 z) (*.f64 y y))
(*.f64 (*.f64 y y) z)
(*.f64 y y)

localize151.0ms (2.2%)

Memory
-4.8MiB live, 102.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy2.682039447029299
(*.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)))))
accuracy4.752222184602551
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z)
accuracy7.60283378357901
(*.f64 (*.f64 y y) z)
accuracy15.024066647466174
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))
accuracy0.0
(*.f64 z y)
accuracy0.21779252930532605
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy3.590249246881873
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy11.082477070202067
(*.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))))
accuracy0.0
(*.f64 x z)
accuracy0.0
(neg.f64 y)
accuracy3.8922959149341554
(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy2.682039447029299
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
accuracy31.091038951931345
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x (neg.f64 y))
accuracy0.0
(neg.f64 y)
accuracy3.844601855079691
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Samples
104.0ms256×0valid
Compiler

Compiled 195 to 32 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 53.0ms (73.5% of total)
ival-add: 5.0ms (6.9% of total)
ival-div: 3.0ms (4.2% of total)
ival-pow: 3.0ms (4.2% of total)
ival-sub: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
ival-pow2: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series86.0ms (1.2%)

Memory
-3.9MiB live, 88.8MiB allocated
Counts
18 → 80
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))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(*.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)
(+.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 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 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 y)
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* y 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)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* 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 (- (* (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)))
(* z (- (/ 1 z) y))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* 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 (* 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
41.0ms
y
@-inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* 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))
11.0ms
x
@0
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* 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))
8.0ms
y
@inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* 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
z
@inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* 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))
4.0ms
z
@-inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* 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))

simplify218.0ms (3.1%)

Memory
0.7MiB live, 143.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03451220
111111163
233841131
087041114
Stop Event
iter limit
node limit
Counts
80 → 79
Calls
Call 1
Inputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 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 y)
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* y 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)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* 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 (- (* (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)))
(* z (- (/ 1 z) y))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* 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 (* 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 (* -1 (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* x z)
(*.f64 z x)
(/ (* 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 z y #s(literal 1 binary64))))
(* 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 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 (* -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 (* -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 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 z z) (-.f64 #s(literal 1 binary64) (*.f64 z y))) 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))))
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(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 z y #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)
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(/ (- (+ (/ 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 (/.f64 #s(literal 1 binary64) 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))
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(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
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(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
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(/ (- (+ (* -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))))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 (neg.f64 z) x (/.f64 x y)) y)
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(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))
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(* -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))
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(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
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(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
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(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 z y #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)))))
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(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
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(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
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(* z (+ (* -1 y) (/ 1 z)))
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(/ (- (/ 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 (* z (- y (/ 1 z))))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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)))

rewrite833.0ms (12%)

Memory
9.2MiB live, 285.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029148
051148
1194130
21298114
08698114
Stop Event
iter limit
node limit
iter limit
Counts
18 → 594
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))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(*.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)
(+.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 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y)) (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y)))) (+.f64 x (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)))) (+.f64 x (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z))) (+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y)) (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y)) (*.f64 x (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)) (*.f64 x (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) (*.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 z (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 z (neg.f64 y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z x) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (*.f64 (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 z (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 z x) y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 z x)) y x)
(fma.f64 (*.f64 z (neg.f64 y)) x x)
(fma.f64 (*.f64 z x) (neg.f64 y) x)
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(fma.f64 (*.f64 (neg.f64 y) x) z x)
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(fma.f64 x (*.f64 z (neg.f64 y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 z (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 (neg.f64 y) x)) x)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 (*.f64 z x))) y))
(-.f64 x (*.f64 (neg.f64 (*.f64 z (neg.f64 y))) x))
(-.f64 x (*.f64 (*.f64 y x) z))
(-.f64 x (*.f64 (neg.f64 (*.f64 z x)) (neg.f64 y)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z x)))
(-.f64 x (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 z (neg.f64 y))))
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(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 (*.f64 x (*.f64 (neg.f64 z) (*.f64 y y)))) (/.f64 z (fma.f64 z y #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 (*.f64 (neg.f64 z) (*.f64 y y))) (*.f64 (/.f64 z (fma.f64 z y #s(literal 1 binary64))) x)))
(-.f64 (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y #s(literal 1 binary64)))) x))
(-.f64 (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x) (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x) (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(+.f64 (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 z y)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y))))) (*.f64 (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))))) (-.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y))))) (*.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (fma.f64 z (neg.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 z y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 z y)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (*.f64 z y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 z y))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 z y)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.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)))) (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 z (neg.f64 y) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 z (neg.f64 y) #s(literal -1 binary64)))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 z y #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (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 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)))
(*.f64 (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (*.f64 (neg.f64 z) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 z (/.f64 z (fma.f64 z y #s(literal 1 binary64)))))
(*.f64 (*.f64 (neg.f64 z) (*.f64 y y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (*.f64 y y) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 z y #s(literal 1 binary64)))))
(*.f64 z (/.f64 (*.f64 (neg.f64 z) (*.f64 y y)) (fma.f64 z y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 z (neg.f64 y) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 y y) z) (/.f64 z (fma.f64 z y #s(literal 1 binary64)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (*.f64 z (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 y y) z)
(*.f64 (*.f64 z y) y)
(*.f64 z (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 z (neg.f64 y)))
(*.f64 y (*.f64 z y))

eval287.0ms (4.1%)

Memory
16.3MiB live, 108.8MiB allocated
Compiler

Compiled 18 504 to 2 265 computations (87.8% saved)

prune46.0ms (0.7%)

Memory
-8.0MiB live, 37.5MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5973600
Fresh033
Picked325
Done011
Total6009609
Accuracy
100.0%
Counts
609 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
77.5%
(/.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)))
66.1%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
57.9%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
68.1%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (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)))))
45.5%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
51.7%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
46.0%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Compiler

Compiled 209 to 156 computations (25.4% saved)

simplify109.0ms (1.6%)

Memory
8.5MiB live, 106.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
035214
058208
1110199
2260199
3715199
41870199
53837199
66454199
08125199
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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 #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)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
x
(fma.f64 z y #s(literal 1 binary64))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (neg.f64 y) (*.f64 z x))
(neg.f64 y)
y
(*.f64 z x)
z
x
(*.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
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 z z) y) y)
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(sqrt.f64 z)
#s(literal 1 binary64)
Outputs
(/.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 (fma.f64 (neg.f64 x) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)
(fma.f64 (neg.f64 x) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)
(-.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)
x
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (neg.f64 y) (*.f64 z x))
(*.f64 (*.f64 (neg.f64 x) z) y)
(neg.f64 y)
y
(*.f64 z x)
(*.f64 x z)
z
x
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
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))))
(/.f64 (fma.f64 (neg.f64 x) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 z z) y) y)
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
(/.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))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 (*.f64 (*.f64 y z) y)) x)
x
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y z) y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y)))
(sqrt.f64 (*.f64 (*.f64 y z) y))
(*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (*.f64 y z) y)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(sqrt.f64 z)
#s(literal 1 binary64)

localize99.0ms (1.4%)

Memory
-7.5MiB live, 180.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
accuracy0.09375
(*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))
accuracy1.22797568987885
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
accuracy14.583505450410605
(sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y)))
accuracy3.1019793063078787
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy3.4557856436755876
(*.f64 (*.f64 (*.f64 z z) y) y)
accuracy4.404409798057424
(*.f64 (*.f64 z z) y)
accuracy6.41026912784767
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy1.21625693987885
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
accuracy25.019266098740697
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy0.0
(*.f64 z x)
accuracy0.0
(neg.f64 y)
accuracy3.2106019457687984
(*.f64 (neg.f64 y) (*.f64 z x))
accuracy24.857062922342692
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
accuracy0.0
(*.f64 z y)
accuracy0.139003759768442
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy1.1894962562916198
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)
accuracy7.079512907716228
(/.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)))
Samples
49.0ms185×0valid
30.0ms71×0invalid
Compiler

Compiled 206 to 35 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 26.0ms (44% of total)
ival-add: 17.0ms (28.8% of total)
ival-sqrt: 4.0ms (6.8% of total)
ival-div: 3.0ms (5.1% of total)
ival-sub: 3.0ms (5.1% of total)
ival-pow2: 3.0ms (5.1% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
-22.1MiB live, 71.3MiB allocated
Counts
21 → 67
Calls
Call 1
Inputs
(/.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 #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)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (neg.f64 y) (*.f64 z x))
(neg.f64 y)
(*.f64 z x)
(*.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)
(*.f64 (*.f64 (*.f64 z z) y) y)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y)))
(*.f64 z y)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(* x z)
(* x (- 1 (* y z)))
(* x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* -1 y)
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y (pow z 2))
(* (pow y 2) z)
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(* y 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))))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* y (- (/ 1 y) z))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ z (/ 1 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)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -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 (* 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 (+ (* -1 (* x y)) (/ x z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* z (- (/ 1 z) y))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 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)
(* -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)))
(* -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
8.0ms
y
@0
((/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (neg y)) z) x) (* (neg y) (* z x)) (neg y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* (* (* z z) y) y) (* (- 1 (* (* (* z z) y) y)) (/ x (+ (* z y) 1))) (- 1 (* (* (* z z) y) y)) (* (* z z) y) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* z y) (/ x (+ (* z y) 1)))
5.0ms
x
@-inf
((/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (neg y)) z) x) (* (neg y) (* z x)) (neg y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* (* (* z z) y) y) (* (- 1 (* (* (* z z) y) y)) (/ x (+ (* z y) 1))) (- 1 (* (* (* z z) y) y)) (* (* z z) y) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* z y) (/ x (+ (* z y) 1)))
5.0ms
z
@-inf
((/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (neg y)) z) x) (* (neg y) (* z x)) (neg y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* (* (* z z) y) y) (* (- 1 (* (* (* z z) y) y)) (/ x (+ (* z y) 1))) (- 1 (* (* (* z z) y) y)) (* (* z z) y) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* z y) (/ x (+ (* z y) 1)))
3.0ms
z
@inf
((/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (neg y)) z) x) (* (neg y) (* z x)) (neg y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* (* (* z z) y) y) (* (- 1 (* (* (* z z) y) y)) (/ x (+ (* z y) 1))) (- 1 (* (* (* z z) y) y)) (* (* z z) y) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* z y) (/ x (+ (* z y) 1)))
3.0ms
y
@inf
((/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* x (neg y)) z) x) (* (neg y) (* z x)) (neg y) (* z x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (* (* (* z z) y) y) (* (- 1 (* (* (* z z) y) y)) (/ x (+ (* z y) 1))) (- 1 (* (* (* z z) y) y)) (* (* z z) y) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* z y) (/ x (+ (* z y) 1)))

simplify137.0ms (2%)

Memory
44.8MiB live, 231.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0221696
1691681
22113657
35821647
08226632
Stop Event
iter limit
node limit
Counts
67 → 66
Calls
Call 1
Inputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(* x z)
(* x (- 1 (* y z)))
(* x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* -1 y)
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y (pow z 2))
(* (pow y 2) z)
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(* y 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))))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* y (- (/ 1 y) z))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ z (/ 1 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)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -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 (* 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 (+ (* -1 (* x y)) (/ x z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* z (- (/ 1 z) y))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 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)
(* -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)))
(* -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 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z) y x)
(* x (+ 1 (* -1 (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(* x z)
(*.f64 x z)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(/ 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)
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 y y) z) z)
(* -1 y)
(neg.f64 y)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(+ x (* x (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* y z)
(*.f64 y z)
(+ 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 (fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) y (*.f64 z z))) y)) y x)
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* -1 (* x (* (pow y 2) (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z) y)
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z) y x)
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(*.f64 (fma.f64 (neg.f64 z) z (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* y (+ (* x z) (/ x y)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* y (+ z (/ 1 y)))
(fma.f64 y z #s(literal 1 binary64))
(/ x (* y z))
(/.f64 (/.f64 x z) y)
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z))
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) z)) y)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (sqrt z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) 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 x z) (/.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) z)) y)
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 z z) y) z) y #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 x) y (*.f64 (*.f64 x (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y))) z)) z x)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z) y x)
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 #s(literal 1 binary64) (*.f64 z z))) z) z)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* z (+ y (/ 1 z)))
(fma.f64 y z #s(literal 1 binary64))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z))
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) 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 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) y)) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y 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 y z #s(literal 1 binary64)) x)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 y z)
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(/.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) 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 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y) x) (*.f64 y z)) y)) z)

rewrite389.0ms (5.6%)

Memory
13.1MiB live, 335.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035174
058167
1203137
21249119
09400119
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 336
Calls
Call 1
Inputs
(/.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 #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)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (neg.f64 y) (*.f64 z x))
(neg.f64 y)
(*.f64 z x)
(*.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)
(*.f64 (*.f64 (*.f64 z z) y) y)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y)))
(*.f64 z y)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 y z #s(literal -1 binary64))) (fma.f64 y z #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (*.f64 y z) #s(literal -1 binary64)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))))) (*.f64 (fma.f64 y z #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 x (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))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))))) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x (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))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 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))))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 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))))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (*.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))))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 z) y)
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
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(*.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
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(*.f64 (neg.f64 y) z)
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(*.f64 (*.f64 y z) #s(literal -1 binary64))
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(*.f64 y (neg.f64 z))
(*.f64 y z)
(*.f64 z (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))))
(*.f64 z (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(*.f64 z (fabs.f64 y))
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(*.f64 #s(literal 1 binary64) (*.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(neg.f64 (*.f64 y z))
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(fabs.f64 (*.f64 y z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y z))) (sinh.f64 (log.f64 (*.f64 y z))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y z #s(literal -1 binary64)))
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(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
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(+.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))))
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eval172.0ms (2.5%)

Memory
-24.9MiB live, 311.8MiB allocated
Compiler

Compiled 18 955 to 2 801 computations (85.2% saved)

prune24.0ms (0.3%)

Memory
-0.4MiB live, 93.0MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New8306836
Fresh101
Picked235
Done033
Total83312845
Accuracy
100.0%
Counts
845 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
19.0%
(/.f64 (*.f64 #s(approx (- 1 (pow (* z y) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z)) x) (fma.f64 z y #s(literal 1 binary64)))
66.1%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
2.7%
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
45.5%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
51.7%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
45.8%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
22.7%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
2.7%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
2.7%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
46.0%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Compiler

Compiled 258 to 194 computations (24.8% saved)

simplify87.0ms (1.2%)

Memory
-6.8MiB live, 45.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fabs.f64 y) (sqrt.f64 z))
cost-diff0
(*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z)))
cost-diff0
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
cost-diff4
(*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (- 1 (* y z)) (*.f64 y z))
cost-diff0
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) y)
cost-diff0
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) z)
cost-diff0
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) y) z)
cost-diff0
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029154
043154
172150
2122142
3213142
4342142
5657142
6732142
7898142
81104142
91161142
101177142
111179142
121179142
131179142
141259142
151419142
01419142
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (- 1 (* y z)) (*.f64 y z))
(*.f64 y z)
y
z
x
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z)))
x
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(fabs.f64 y)
y
(sqrt.f64 z)
z
Outputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 z) x) y))
(*.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 z y) x))
(*.f64 (*.f64 x y) z)
(*.f64 (*.f64 z y) x)
(*.f64 x y)
(*.f64 y x)
x
y
z
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 z y) x))
(*.f64 (*.f64 x z) y)
(*.f64 (*.f64 z y) x)
(*.f64 x z)
(*.f64 z x)
x
z
y
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
(*.f64 #s(approx (- 1 (* y z)) (*.f64 z y)) x)
#s(approx (- 1 (* y z)) (*.f64 y z))
#s(approx (- 1 (* y z)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
x
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (fabs.f64 y) z) x))
(*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (*.f64 (fabs.f64 y) z) x)
(*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) x) (fabs.f64 y))
x
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(fabs.f64 y)
y
(sqrt.f64 z)
z

localize168.0ms (2.4%)

Memory
10.9MiB live, 107.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(*.f64 (fabs.f64 y) (sqrt.f64 z))
accuracy1.4415981626031884
(*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z)))
accuracy1.8017265797539594
(*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
accuracy30.528018026868523
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
accuracy0.0
(*.f64 y z)
accuracy1.21625693987885
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
accuracy45.227595626603716
#s(approx (- 1 (* y z)) (*.f64 y z))
accuracy0.0
(*.f64 x z)
accuracy3.2106019457687984
(*.f64 (*.f64 x z) y)
accuracy45.04143154719643
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
accuracy0.0
(*.f64 x y)
accuracy3.44326828681066
(*.f64 (*.f64 x y) z)
accuracy45.04143154719643
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy3.44326828681066
(*.f64 (*.f64 (neg.f64 x) y) z)
accuracy24.857062922342692
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
Samples
143.0ms185×0valid
11.0ms71×0invalid
Compiler

Compiled 118 to 25 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 18.0ms (68.6% of total)
ival-sqrt: 2.0ms (7.6% of total)
ival-neg: 2.0ms (7.6% of total)
ival-add: 1.0ms (3.8% of total)
ival-fabs: 1.0ms (3.8% of total)
ival-sub: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
6.1MiB live, 51.6MiB allocated
Counts
17 → 29
Calls
Call 1
Inputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (- 1 (* y z)) (*.f64 y z))
(*.f64 y z)
(*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
(*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
Outputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x y))
(* -1 x)
(* x (* y z))
(* x y)
(* x z)
(* x (- 1 (* y z)))
(* x (* z (fabs y)))
(* (* x (fabs y)) (sqrt z))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* (sqrt z) (fabs y))
(* 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)))
(* -1 (* x (* z (* (fabs y) (pow (sqrt -1) 2)))))
(* -1 (* (* x (* (fabs y) (pow (sqrt -1) 2))) (sqrt z)))
(* -1 (* (sqrt z) (* (fabs y) (pow (sqrt -1) 2))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((+ (* (* x (neg y)) z) x) (* (* (neg x) y) z) (* (neg x) y) (neg x) (+ (* (* x (neg y)) z) x) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* x z) y) (* x z) (* (- 1 (* y z)) x) (- 1 (* y z)) (* y z) (* (* x (* (fabs y) (sqrt z))) (sqrt z)) (+ (* (* x (neg y)) z) x) (* x (* (fabs y) (sqrt z))) (* (fabs y) (sqrt z)))
4.0ms
z
@-inf
((+ (* (* x (neg y)) z) x) (* (* (neg x) y) z) (* (neg x) y) (neg x) (+ (* (* x (neg y)) z) x) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* x z) y) (* x z) (* (- 1 (* y z)) x) (- 1 (* y z)) (* y z) (* (* x (* (fabs y) (sqrt z))) (sqrt z)) (+ (* (* x (neg y)) z) x) (* x (* (fabs y) (sqrt z))) (* (fabs y) (sqrt z)))
3.0ms
x
@-inf
((+ (* (* x (neg y)) z) x) (* (* (neg x) y) z) (* (neg x) y) (neg x) (+ (* (* x (neg y)) z) x) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* x z) y) (* x z) (* (- 1 (* y z)) x) (- 1 (* y z)) (* y z) (* (* x (* (fabs y) (sqrt z))) (sqrt z)) (+ (* (* x (neg y)) z) x) (* x (* (fabs y) (sqrt z))) (* (fabs y) (sqrt z)))
3.0ms
y
@-inf
((+ (* (* x (neg y)) z) x) (* (* (neg x) y) z) (* (neg x) y) (neg x) (+ (* (* x (neg y)) z) x) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* x z) y) (* x z) (* (- 1 (* y z)) x) (- 1 (* y z)) (* y z) (* (* x (* (fabs y) (sqrt z))) (sqrt z)) (+ (* (* x (neg y)) z) x) (* x (* (fabs y) (sqrt z))) (* (fabs y) (sqrt z)))
3.0ms
x
@0
((+ (* (* x (neg y)) z) x) (* (* (neg x) y) z) (* (neg x) y) (neg x) (+ (* (* x (neg y)) z) x) (* (* x y) z) (* x y) (+ (* (* x (neg y)) z) x) (* (* x z) y) (* x z) (* (- 1 (* y z)) x) (- 1 (* y z)) (* y z) (* (* x (* (fabs y) (sqrt z))) (sqrt z)) (+ (* (* x (neg y)) z) x) (* x (* (fabs y) (sqrt z))) (* (fabs y) (sqrt z)))

simplify143.0ms (2%)

Memory
25.5MiB live, 157.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067146
1214146
2586146
31596146
43453146
55729146
66161146
76488146
08148138
Stop Event
iter limit
node limit
Counts
29 → 28
Calls
Call 1
Inputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x y))
(* -1 x)
(* x (* y z))
(* x y)
(* x z)
(* x (- 1 (* y z)))
(* x (* z (fabs y)))
(* (* x (fabs y)) (sqrt z))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* (sqrt z) (fabs y))
(* 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)))
(* -1 (* x (* z (* (fabs y) (pow (sqrt -1) 2)))))
(* -1 (* (* x (* (fabs y) (pow (sqrt -1) 2))) (sqrt z)))
(* -1 (* (sqrt z) (* (fabs y) (pow (sqrt -1) 2))))
Outputs
(* x (+ 1 (* -1 (* y z))))
(fma.f64 (*.f64 z x) y x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 z x) y)
(* -1 (* x y))
(*.f64 y x)
(* -1 x)
x
(* x (* y z))
(*.f64 (*.f64 z x) y)
(* x y)
(*.f64 y x)
(* x z)
(*.f64 z x)
(* x (- 1 (* y z)))
(fma.f64 (*.f64 z x) y x)
(* x (* z (fabs y)))
(*.f64 (*.f64 (fabs.f64 y) x) z)
(* (* x (fabs y)) (sqrt z))
(*.f64 (*.f64 (sqrt.f64 z) x) (fabs.f64 y))
(* -1 (* x (- (* y z) 1)))
(fma.f64 (*.f64 z x) y x)
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (*.f64 z x) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* y z)
(*.f64 z y)
(* (sqrt z) (fabs y))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(* y (+ (* -1 (* x z)) (/ x y)))
(fma.f64 (*.f64 z x) y x)
(* -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))))
(fma.f64 (*.f64 z x) y x)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(fma.f64 (*.f64 z x) y x)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(fma.f64 (*.f64 z x) y x)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* x (* z (* (fabs y) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 (fabs.f64 y) x) z)
(* -1 (* (* x (* (fabs y) (pow (sqrt -1) 2))) (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) x) (fabs.f64 y))
(* -1 (* (sqrt z) (* (fabs y) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 z) (fabs.f64 y))

rewrite304.0ms (4.4%)

Memory
-24.6MiB live, 204.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029135
043131
1101127
2422125
33803117
08740111
Stop Event
iter limit
node limit
iter limit
Counts
17 → 567
Calls
Call 1
Inputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (- 1 (* y z)) (*.f64 y z))
(*.f64 y z)
(*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
(*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
Outputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 z y) x))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) (neg.f64 x))) y)
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) x)) y)
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 z y))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) (neg.f64 y))) x)
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) x)) (fabs.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x)) (sqrt.f64 z))
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 z))) y)
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x))) y)
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 z y))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) y)) (fabs.f64 (*.f64 (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 z y)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) x) z) (neg.f64 x))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) x) z) x)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 z z) y))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) x) (*.f64 (neg.f64 x) z))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) x) (*.f64 z x))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) z)) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 z y)) z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) x) (neg.f64 y))) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) x) y)) (sqrt.f64 (*.f64 (neg.f64 x) z)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) z)) (sqrt.f64 (*.f64 y (*.f64 (*.f64 z y) x))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) z)
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) y)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 z y))) (sqrt.f64 (*.f64 z (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 z y) x))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) x) z)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) x) z)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) x)) (sqrt.f64 (*.f64 (*.f64 z y) x)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))
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(pow.f64 (*.f64 (*.f64 z y) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 z y) x))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 z y) x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 z y) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 z y) x))) (sinh.f64 (log.f64 (*.f64 (*.f64 z y) x))))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 z y) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (*.f64 (sqrt.f64 z) x) y)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 z) (*.f64 y x))
(*.f64 (*.f64 y x) (sqrt.f64 z))
(*.f64 y (*.f64 (sqrt.f64 z) x))
(*.f64 x (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 (*.f64 z (neg.f64 y))) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 z y)) (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 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z (neg.f64 y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 z) y)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)))

eval41.0ms (0.6%)

Memory
12.7MiB live, 72.3MiB allocated
Compiler

Compiled 4 023 to 747 computations (81.4% saved)

prune21.0ms (0.3%)

Memory
-13.4MiB live, 33.0MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New2250225
Fresh011
Picked055
Done066
Total22512237
Accuracy
100.0%
Counts
237 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
19.0%
(/.f64 (*.f64 #s(approx (- 1 (pow (* z y) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z)) x) (fma.f64 z y #s(literal 1 binary64)))
66.1%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
2.7%
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
45.5%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
51.7%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
45.8%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
22.7%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
2.7%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
2.7%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
46.0%
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Compiler

Compiled 417 to 208 computations (50.1% saved)

regimes50.0ms (0.7%)

Memory
9.8MiB live, 55.8MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) 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 (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* z y) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z)) x) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (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 #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))) 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:

24.0ms
z
5.0ms
x
5.0ms
y
5.0ms
(*.f64 y z)
5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
98.4%2x
95.8%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)

regimes9.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) 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) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Calls

3 calls:

3.0ms
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)
95.8%1x
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes20.0ms (0.3%)

Memory
-10.0MiB live, 34.5MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Calls

6 calls:

7.0ms
(*.f64 y z)
3.0ms
x
3.0ms
y
2.0ms
z
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
59.7%3x
80.3%3y
77.4%3z
87.0%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
94.8%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
94.8%3(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Outputs
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))
Calls

2 calls:

2.0ms
(*.f64 y z)
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
93.7%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
93.7%3(*.f64 y z)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.4%)

Memory
-29.8MiB live, 35.0MiB allocated
Accuracy

Total -31.4b remaining (-101.6%)

Threshold costs -31.4b (-101.6%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x y) z))
#s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x z) y))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y z)) x)
Outputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Calls

6 calls:

18.0ms
(*.f64 y z)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
z
Results
AccuracySegmentsBranch
51.7%1x
51.7%1z
51.7%1y
51.7%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
51.7%1(-.f64 #s(literal 1 binary64) (*.f64 y z))
51.7%1(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
1.1531355848744356e+21
4.843419194167829e+23
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)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.548484804758578e+193
7.021965373790097e+196
0.0ms
-inf
-2.696292726568351e+294
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6515286365546754
43.352588978427775
0.0ms
-889274.753861499
-0.4783346433994856
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6515286365546754
43.352588978427775
0.0ms
-889274.753861499
-0.4783346433994856
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify58.0ms (0.8%)

Memory
-32.8MiB live, 58.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040150
174146
2121146
3198146
4260146
5279146
6298146
7387146
8645146
9783146
10787146
11787146
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 2000000000000000000000 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) (*.f64 (neg.f64 y) (*.f64 z x))) (if (<=.f64 (*.f64 y z) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(if (<=.f64 (*.f64 y z) #s(literal -500000 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(if (<=.f64 (*.f64 y z) #s(literal -500000 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x))) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 x #s(literal 2000000000000000000000 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) (*.f64 (neg.f64 y) (*.f64 z x))) (if (<=.f64 (*.f64 y z) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(if (or (<=.f64 (*.f64 y z) #s(literal -inf.0 binary64)) (not (<=.f64 (*.f64 y z) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -500000 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(if (<=.f64 (*.f64 y z) #s(literal -500000 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (*.f64 x (neg.f64 y)) z)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(if (<=.f64 (*.f64 y z) #s(literal -500000 binary64)) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x))) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x)))))
(if (or (<=.f64 (*.f64 y z) #s(literal -500000 binary64)) (not (<=.f64 (*.f64 y z) #s(literal 1 binary64)))) #s(approx (+ (* (* x (neg y)) z) x) (*.f64 (neg.f64 y) (*.f64 z x))) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

soundness1.2s (18%)

Memory
20.3MiB live, 536.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03451220
111111163
233841131
087041114
0715
01015
13115
217815
3145615
0903313
04382
114482
237982
3102382
4245882
5590682
6779682
0843482
035174
058167
1203137
21249119
09400119
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 268 to 142 computations (47% saved)

preprocess400.0ms (5.8%)

Memory
15.2MiB live, 106.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 524 to 230 computations (56.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...