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

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample863.0ms (13.7%)

Memory
-43.7MiB live, 784.0MiB allocated
Samples
614.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-mult: 190.0ms (68.1% of total)
ival-sub: 76.0ms (27.2% of total)
ival-true: 6.0ms (2.1% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain80.0ms (1.3%)

Memory
25.9MiB live, 72.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(*.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*o90
Confusion
Predicted +Predicted -
+90
-0247
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+900
-00247
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0247
19
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 25.0ms (87.4% of total)
ival-sub: 2.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess56.0ms (0.9%)

Memory
-18.4MiB live, 28.1MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB 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

localize16.0ms (0.3%)

Memory
14.5MiB live, 14.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy0.0
(*.f64 y z)
accuracy2.1768389554887535
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Samples
12.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.9% of total)
ival-sub: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
3 → 16
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
Outputs
(* x (- 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
Calls

9 calls:

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

simplify156.0ms (2.5%)

Memory
-11.3MiB live, 90.5MiB 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))

rewrite307.0ms (4.9%)

Memory
-2.5MiB live, 192.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval76.0ms (1.2%)

Memory
-13.1MiB live, 75.2MiB allocated
Compiler

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

prune8.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3856391
Fresh000
Picked101
Done000
Total3866392
Accuracy
100.0%
Counts
392 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (*.f64 (neg.f64 y) z) x x)
93.2%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
94.7%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
27.8%
(/.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))))))
43.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
55.0%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 166 to 104 computations (37.3% saved)

simplify27.0ms (0.4%)

Memory
-35.8MiB live, 9.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01796
02996
15396
29896
316396
422196
530396
651396
766596
871896
972796
072796
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) z) x x)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
x
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
x
z
(neg.f64 y)
y
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
Outputs
(fma.f64 (*.f64 (neg.f64 y) z) x x)
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z
x
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y))) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
#s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y)))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 x z)
x
z
(neg.f64 y)
y
(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))
x
(neg.f64 y)
y
z

localize73.0ms (1.2%)

Memory
-8.8MiB live, 49.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x (neg.f64 y))
accuracy0.0
(neg.f64 y)
accuracy4.332769196778566
(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy0.0
(*.f64 x z)
accuracy0.0
(neg.f64 y)
accuracy3.377222088656095
(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy2.1768389554887535
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
accuracy34.16810063634669
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy2.1768389554887535
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
accuracy28.990214852012546
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy2.1729327054887535
(fma.f64 (*.f64 (neg.f64 y) z) x x)
Samples
62.0ms256×0valid
Compiler

Compiled 87 to 19 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sub: 32.0ms (64.5% of total)
ival-mult: 13.0ms (26.2% of total)
ival-add: 3.0ms (6% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
11 → 20
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) z) x x)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
Outputs
(* x (+ 1 (* -1 (* y z))))
(* x (- 1 (* y z)))
(* x z)
(* -1 (* x y))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 (* y z))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* 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
2.0ms
y
@0
((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
2.0ms
x
@0
((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
2.0ms
x
@inf
((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
2.0ms
y
@inf
((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
1.0ms
x
@-inf
((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))

simplify295.0ms (4.7%)

Memory
10.4MiB live, 101.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047102
1159102
2406102
31046102
42135102
54263102
64909102
75175102
85273102
95279102
105641102
116110102
126722102
136734102
146734102
156862102
166994102
176994102
187208102
197208102
207208102
217208102
08877102
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* x (+ 1 (* -1 (* y z))))
(* x (- 1 (* y z)))
(* x z)
(* -1 (* x y))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(* -1 (* y z))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* 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 (* -1 (* y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* x (- 1 (* y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* x z)
(*.f64 x z)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* y z) 1)))
(*.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 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* x (* y z)))
(*.f64 x (*.f64 (neg.f64 z) y))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(* 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))

rewrite288.0ms (4.6%)

Memory
-16.3MiB live, 166.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772
02972
110572
243572
3422972
0868365
Stop Event
iter limit
node limit
iter limit
Counts
11 → 1 148
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) z) x x)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
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(+.f64 (*.f64 (*.f64 x z) y) x)
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 z) x)) (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 z (neg.f64 y))))
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 x z) y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 x y))

eval139.0ms (2.2%)

Memory
-9.9MiB live, 98.7MiB allocated
Compiler

Compiled 6 986 to 753 computations (89.2% saved)

prune9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4311432
Fresh101
Picked055
Done000
Total4326438
Accuracy
100.0%
Counts
438 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (*.f64 (neg.f64 y) z) x x)
93.2%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
94.7%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
69.9%
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
43.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
55.0%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify92.0ms (1.5%)

Memory
-14.5MiB live, 34.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
01849
12949
26449
313349
423949
562449
6158949
7204549
8212149
9212549
10212749
11212749
12212749
0212749
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)))
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))
(*.f64 z y)
z
y
(*.f64 (*.f64 x z) y)
(*.f64 x z)
Outputs
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) x) (*.f64 y y))) (sqrt.f64 x) x)
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)))
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 (*.f64 z z) x) (*.f64 y y))
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 (*.f64 x z) y)
(*.f64 (*.f64 z x) y)
(*.f64 x z)
(*.f64 z x)

localize58.0ms (0.9%)

Memory
1.7MiB live, 48.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))
accuracy0.7805513458044682
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
accuracy3.9495079985149424
(*.f64 (*.f64 x z) y)
accuracy18.750492412144602
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)))
Samples
20.0ms256×0valid
Compiler

Compiled 52 to 13 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (59.2% of total)
ival-sqrt: 3.0ms (25.4% of total)
ival-add: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory
-6.4MiB live, 40.3MiB allocated
Counts
5 → 16
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
(sqrt.f64 x)
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)))
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
Outputs
(* x (+ 1 (* y z)))
(sqrt x)
(* (sqrt x) (* y z))
(* x (* (pow y 2) (pow z 2)))
(* x (* y z))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2)))))
x
(+ x (* x (* y z)))
(* y (+ (* x z) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* (sqrt x) (* y z)))
(* z (+ (* x y) (/ x z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
z
@-inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y))
4.0ms
y
@0
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y))
4.0ms
x
@-inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y))
2.0ms
x
@0
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y))
2.0ms
y
@inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y))

simplify250.0ms (4%)

Memory
31.2MiB live, 173.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046101
1149101
250699
3140193
4369493
5640493
0810688
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
(* x (+ 1 (* y z)))
(sqrt x)
(* (sqrt x) (* y z))
(* x (* (pow y 2) (pow z 2)))
(* x (* y z))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2)))))
x
(+ x (* x (* y z)))
(* y (+ (* x z) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* (sqrt x) (* y z)))
(* z (+ (* x y) (/ x z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
Outputs
(* x (+ 1 (* y z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (* y z))
(*.f64 (*.f64 (sqrt.f64 x) z) y)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 x (*.f64 z z)) y) y)
(* x (* y z))
(*.f64 x (*.f64 y z))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 (sqrt.f64 x) z) y)
x
(+ x (* x (* y z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(* y (+ (* x z) (/ x y)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(fma.f64 (*.f64 (neg.f64 z) y) x x)
(* -1 (* (sqrt x) (* y z)))
(*.f64 (*.f64 (sqrt.f64 x) z) (neg.f64 y))
(* z (+ (* x y) (/ x z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(fma.f64 (*.f64 (neg.f64 z) y) x x)

rewrite593.0ms (9.4%)

Memory
13.6MiB live, 157.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
01840
15040
226729
3243727
0873126
Stop Event
iter limit
node limit
iter limit
Counts
5 → 416
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x)
(sqrt.f64 x)
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)))
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) (fma.f64 (*.f64 z x) y x))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 z x) y x) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 z x) y x) (/.f64 (fma.f64 (*.f64 z x) y x) (fma.f64 (*.f64 z x) y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z x) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z x) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 (fma.f64 (*.f64 z x) y x) (*.f64 x x)))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 z x) y x)) (*.f64 (fma.f64 (*.f64 z x) y x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 (fma.f64 (*.f64 z x) y x) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x) (*.f64 (fma.f64 (*.f64 z x) y x) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))))
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(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 z) (*.f64 x (sqrt.f64 (*.f64 y z)))))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y x)) z) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (sqrt.f64 (*.f64 (*.f64 z x) y)))
(*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z x)) y) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 z x) y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (*.f64 (*.f64 (*.f64 z x) y) y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 y z)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 z x)) y) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 y z) x)
(*.f64 y (fabs.f64 (*.f64 z x)))
(*.f64 y (*.f64 z x))
(*.f64 z (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 z (*.f64 y x))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 y z) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 y z) (sqrt.f64 x)))
(*.f64 x (*.f64 y z))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 z x) y) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 z x) y))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 z x) y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 z x) y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 z x) y))) (sinh.f64 (log.f64 (*.f64 (*.f64 z x) y))))

eval217.0ms (3.5%)

Memory
-30.1MiB live, 114.7MiB allocated
Compiler

Compiled 9 785 to 1 291 computations (86.8% saved)

prune7.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4222424
Fresh000
Picked101
Done055
Total4237430
Accuracy
100.0%
Counts
430 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
96.6%
(fma.f64 (*.f64 (neg.f64 y) z) x x)
93.2%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
94.7%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
43.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
55.0%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
43.8%
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
Compiler

Compiled 75 to 60 computations (20% saved)

simplify344.0ms (5.5%)

Memory
-37.7MiB live, 102.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02065
02965
15565
214161
333461
476358
5159758
6274358
7324158
8340158
9344758
10348258
11348258
12348258
13349258
14350858
15351858
16352858
17353358
18353358
19353354
20593954
21657154
22726754
0827153
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(*.f64 (*.f64 y z) (sqrt.f64 x))
(*.f64 y z)
y
z
(sqrt.f64 x)
x
(neg.f64 (sqrt.f64 x))
Outputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 y) (*.f64 z x))
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 z) x)
(neg.f64 x)
x
z
y
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(*.f64 (*.f64 y z) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) z)
(*.f64 y z)
y
z
(sqrt.f64 x)
x
(neg.f64 (sqrt.f64 x))

localize71.0ms (1.1%)

Memory
22.8MiB live, 76.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.0
(neg.f64 (sqrt.f64 x))
accuracy0.7883638458044682
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
accuracy4.043507054712756
(*.f64 (*.f64 y z) (sqrt.f64 x))
accuracy0.0
(*.f64 (neg.f64 x) z)
accuracy0.0
(neg.f64 x)
accuracy3.9495079985149424
(*.f64 (*.f64 (neg.f64 x) z) y)
accuracy47.32142174733121
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
Samples
61.0ms256×0valid
Compiler

Compiled 61 to 21 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 29.0ms (56.5% of total)
ival-neg: 16.0ms (31.2% of total)
ival-sqrt: 3.0ms (5.8% of total)
ival-add: 2.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-20.5MiB live, 23.6MiB allocated
Counts
9 → 24
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(*.f64 (*.f64 y z) (sqrt.f64 x))
(*.f64 y z)
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))
Outputs
(* x (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 x)
(* x (+ 1 (* -1 (* y z))))
(* (sqrt x) (* y z))
(sqrt x)
(* -1 (sqrt x))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1)))
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt x) (pow (sqrt -1) 2))
x
(+ x (* x (* y z)))
(+ x (* -1 (* x (* y z))))
(* y z)
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* z (+ (* x y) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x)))
2.0ms
x
@-inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x)))
1.0ms
z
@-inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x)))
1.0ms
x
@inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x)))
1.0ms
y
@-inf
((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x)))

simplify180.0ms (2.9%)

Memory
22.9MiB live, 199.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057134
1192127
2559127
31532127
44070127
56212127
67425127
77803127
08054122
Stop Event
iter limit
node limit
Counts
24 → 23
Calls
Call 1
Inputs
(* x (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 x)
(* x (+ 1 (* -1 (* y z))))
(* (sqrt x) (* y z))
(sqrt x)
(* -1 (sqrt x))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1)))
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt x) (pow (sqrt -1) 2))
x
(+ x (* x (* y z)))
(+ x (* -1 (* x (* y z))))
(* y z)
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* z (+ (* x y) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
Outputs
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 y x))
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 x)
(neg.f64 x)
(* x (+ 1 (* -1 (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* (sqrt x) (* y z))
(*.f64 (*.f64 z (sqrt.f64 x)) y)
(sqrt x)
(sqrt.f64 x)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 z (sqrt.f64 x)) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
x
(+ x (* x (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* y z)
(*.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 (+ (* -1 (* x z)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)

rewrite180.0ms (2.9%)

Memory
15.2MiB live, 247.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
02958
18658
247647
3544747
0856945
Stop Event
iter limit
node limit
iter limit
Counts
9 → 291
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(*.f64 (*.f64 y z) (sqrt.f64 x))
(*.f64 y z)
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))
Outputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) z)
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) z) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z z) (*.f64 y x)))) (sqrt.f64 y))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 y z)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 (*.f64 z x) y)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 z)) (*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 z x))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) x))
(*.f64 (neg.f64 y) (*.f64 z x))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 (*.f64 z x) y)))
(*.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 z (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) z))
(*.f64 (neg.f64 z) (*.f64 y x))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 y) z) x)
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))))
(*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 y z)) x)))
(*.f64 (*.f64 (sqrt.f64 x) z) (neg.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) y) z))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 y z))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 z x) (neg.f64 y))
(*.f64 (*.f64 y z) (neg.f64 x))
(*.f64 y (*.f64 (neg.f64 z) x))
(*.f64 z (*.f64 (neg.f64 x) y))
(*.f64 x (*.f64 (neg.f64 y) z))
(neg.f64 (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (neg.f64 z) x)
(*.f64 (*.f64 (sqrt.f64 x) z) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 z (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 (*.f64 z x))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))
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(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(neg.f64 (sqrt.f64 x))

eval39.0ms (0.6%)

Memory
-0.7MiB live, 98.6MiB allocated
Compiler

Compiled 6 660 to 717 computations (89.2% saved)

prune13.0ms (0.2%)

Memory
-5.2MiB live, 41.8MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3212323
Fresh000
Picked112
Done055
Total3228330
Accuracy
100.0%
Counts
330 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (*.f64 (neg.f64 y) z) x x)
93.2%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
94.7%
(fma.f64 (*.f64 x z) (neg.f64 y) x)
43.6%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
55.0%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
45.7%
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (neg.f64 (sqrt.f64 x))))
43.8%
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
44.2%
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
Compiler

Compiled 297 to 142 computations (52.2% saved)

regimes22.0ms (0.4%)

Memory
12.9MiB live, 59.6MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.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)
(fma.f64 (*.f64 (neg.f64 y) z) x x)
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (neg.f64 (sqrt.f64 x))))
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x 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))))))
Outputs
(fma.f64 (*.f64 (neg.f64 y) z) x x)
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
Calls

6 calls:

5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
4.0ms
z
4.0ms
x
4.0ms
y
3.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
98.4%2(*.f64 y z)
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
96.6%1x
96.6%1y
98.4%2z
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes7.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.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)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
Calls

3 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
(*.f64 y z)
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
98.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
98.4%2(*.f64 y z)
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.2%)

Memory
-15.2MiB live, 31.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
Calls

6 calls:

2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
61.8%3x
80.2%3y
80.8%3z
84.8%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.3%3(*.f64 y z)
95.3%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
Outputs
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))
Calls

2 calls:

1.0ms
(*.f64 y z)
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
94.9%3(*.f64 y z)
94.9%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes69.0ms (1.1%)

Memory
7.2MiB live, 53.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

64.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
55.0%1x
55.0%1y
55.0%1z
55.0%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
55.0%1(*.f64 y z)
55.0%1(-.f64 #s(literal 1 binary64) (*.f64 y z))
Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.381617485009456e+223
3.1357475691030663e+233
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.381617485009456e+223
3.1357475691030663e+233
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
1.0701585887636202
3896.0702144878605
0.0ms
-2040045.084596685
1.0
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch5.0ms (0.1%)

Memory
-49.5MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0701585887636202
3896.0702144878605
0.0ms
-2040045.084596685
1.0
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify47.0ms (0.7%)

Memory
6.1MiB live, 52.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040200
173200
2133200
3225200
4389200
5921200
61432200
71656200
81677200
91679200
101679200
111679200
121859200
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (fma.f64 (*.f64 (neg.f64 y) z) x x) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (fma.f64 (*.f64 (neg.f64 y) z) x x) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

soundness1.3s (21.2%)

Memory
42.4MiB live, 633.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
02958
18658
247647
3544747
0856945
01772
02972
110572
243572
3422972
0868365
04382
114482
237982
3102382
4245882
5590682
6779682
0843482
0715
01015
13115
217815
3145615
0903313
046101
1149101
250699
3140193
4369493
5640493
0810688
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 367 to 178 computations (51.5% saved)

preprocess259.0ms (4.1%)

Memory
12.8MiB live, 215.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 636 to 244 computations (61.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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