Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze42.0ms (0.6%)

Memory
6.2MiB live, 84.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample911.0ms (13.7%)

Memory
26.1MiB live, 1 334.4MiB allocated
Samples
558.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-div: 167.0ms (47.4% of total)
ival-mult: 79.0ms (22.4% of total)
ival-sub: 54.0ms (15.3% of total)
ival-add: 42.0ms (11.9% of total)
ival-true: 7.0ms (2% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain147.0ms (2.2%)

Memory
-15.5MiB live, 107.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-0-(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
00-0-y
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)o/n290
(+.f64 x (*.f64 y (-.f64 z x)))overflow46
(*.f64 y (-.f64 z x))overflow46
Confusion
Predicted +Predicted -
+290
-0227
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2900
-00227
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0227
129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
101.0ms512×0valid
Compiler

Compiled 94 to 32 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sub: 59.0ms (85.8% of total)
ival-div: 3.0ms (4.4% of total)
ival-mult: 3.0ms (4.4% of total)
ival-add: 2.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess77.0ms (1.2%)

Memory
-3.7MiB live, 30.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03392
19192
223288
347088
483988
595088
695088
079
0119
1199
2349
3609
4959
51209
61349
71429
81549
91659
101789
01788
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
cost-diff0
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
cost-diff1
(+.f64 x (*.f64 y (-.f64 z x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01127
11927
23427
36027
49527
512027
613427
714227
815427
916527
1017827
017825
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
x
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
y
(-.f64 z x)
z

localize18.0ms (0.3%)

Memory
22.6MiB live, 22.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 z x)
accuracy0.0078125
(+.f64 x (*.f64 y (-.f64 z x)))
accuracy0.01953125
(*.f64 y (-.f64 z x))
accuracy6.819513027014216
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Samples
13.0ms256×0valid
Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.2% of total)
ival-mult: 2.0ms (32.2% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-21.3MiB live, 13.0MiB allocated
Counts
4 → 43
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
y
@-inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
2.0ms
y
@inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
z
@-inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
x
@-inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms
x
@inf
((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))

simplify277.0ms (4.2%)

Memory
-27.3MiB live, 116.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106326
1371245
21249245
34274245
47887245
08017230
Stop Event
iter limit
node limit
Counts
43 → 40
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
z
(+ z (* -1 x))
(-.f64 z x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(/ x z)
(/.f64 x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(/ (* y (- z x)) z)
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(- z x)
(-.f64 z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)

rewrite256.0ms (3.8%)

Memory
17.8MiB live, 209.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
14524
232524
3375524
0830122
Stop Event
iter limit
node limit
iter limit
Counts
4 → 321
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y x))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (neg.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))))
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64))) (fma.f64 (-.f64 z x) y x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (-.f64 z x) y x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) (/.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 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 z x) y) x)))
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(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (+.f64 z x))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x)))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x)))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x)))
(fma.f64 z (/.f64 z (+.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x)))
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(-.f64 z x)
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x)))

eval73.0ms (1.1%)

Memory
-10.9MiB live, 71.2MiB allocated
Compiler

Compiled 8 731 to 1 195 computations (86.3% saved)

prune8.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3258333
Fresh000
Picked101
Done000
Total3268334
Accuracy
100.0%
Counts
334 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
54.1%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
36.6%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
57.7%
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) z)))
99.9%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
37.2%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
70.0%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
54.1%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Compiler

Compiled 266 to 164 computations (38.3% saved)

simplify12.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 z x) y)
cost-diff0
(sqrt.f64 (*.f64 (-.f64 z x) y))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
cost-diff8
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff0
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
cost-diff0
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024177
038163
167163
2112163
3196163
4282163
5344163
6364163
7373163
8379163
9383163
0383156
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/.f64 x z)
x
z
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
x
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
z
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x)
(sqrt.f64 (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/.f64 x z)
x
z
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
x
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
z
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x)
(fma.f64 (-.f64 z x) y x)
(sqrt.f64 (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y

localize69.0ms (1%)

Memory
-17.8MiB live, 88.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (-.f64 z x) y)
accuracy0.12957001953688405
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x)
accuracy3.0875782035208035
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
accuracy5.985309138184056
(sqrt.f64 (*.f64 (-.f64 z x) y))
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy3.0875782035208035
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
accuracy14.947597993792222
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy0.0
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy1.9263912970059733
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy15.09325190216433
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy0.0
(/.f64 x z)
accuracy21.684814877663577
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
accuracy0.0
(/.f64 x z)
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
accuracy0.03125
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
Samples
25.0ms126×0valid
19.0ms130×0invalid
Compiler

Compiled 326 to 46 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (34.4% of total)
ival-div: 6.0ms (25.8% of total)
ival-add: 4.0ms (17.2% of total)
ival-sub: 3.0ms (12.9% of total)
ival-sqrt: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
-7.4MiB live, 44.0MiB allocated
Counts
15 → 97
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/.f64 x z)
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
(sqrt.f64 (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(/ (* x (- 1 y)) z)
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/2 (* x (sqrt (/ y z)))))
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* -1/8 (* x (sqrt (/ y (pow z 3))))))))
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* -1/16 (* x (sqrt (/ y (pow z 5))))))))))
(+ (* -1 (* x y)) (* y z))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* (sqrt (* x y)) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
(sqrt (* y (- z x)))
(* y (- z x))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (* (pow (sqrt -1) 2) (- z x))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x)))))
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z))))
(* -1 (* (sqrt (* y (- z x))) (pow (sqrt -1) 2)))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (- 1 y) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(+ (* 1/2 (* (sqrt (/ y x)) (/ z (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1)))
(+ (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))))) (* (sqrt (* x y)) (sqrt -1)))
(+ (* z (+ (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ y (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt (* x y)) (sqrt -1)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ (sqrt (/ y z)) (* -1/2 (* x (sqrt (/ y (pow z 3)))))))
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))))))
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ y (pow z 7)))))))))
(* z (+ y (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y))
4.0ms
z
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y))
4.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y))
3.0ms
x
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y))
3.0ms
y
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y))

simplify186.0ms (2.8%)

Memory
25.1MiB live, 220.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231323
110841197
242261182
084091126
Stop Event
iter limit
node limit
Counts
97 → 95
Calls
Call 1
Inputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(/ (* x (- 1 y)) z)
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/2 (* x (sqrt (/ y z)))))
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* -1/8 (* x (sqrt (/ y (pow z 3))))))))
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* -1/16 (* x (sqrt (/ y (pow z 5))))))))))
(+ (* -1 (* x y)) (* y z))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* (sqrt (* x y)) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
(sqrt (* y (- z x)))
(* y (- z x))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (* (pow (sqrt -1) 2) (- z x))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x)))))
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z))))
(* -1 (* (sqrt (* y (- z x))) (pow (sqrt -1) 2)))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (- 1 y) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(+ (* 1/2 (* (sqrt (/ y x)) (/ z (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1)))
(+ (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))))) (* (sqrt (* x y)) (sqrt -1)))
(+ (* z (+ (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ y (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt (* x y)) (sqrt -1)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ (sqrt (/ y z)) (* -1/2 (* x (sqrt (/ y (pow z 3)))))))
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))))))
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ y (pow z 7)))))))))
(* z (+ y (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ y (* x (- (/ 1 z) (/ y z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ x z)
(/.f64 x z)
(/ (* x (- 1 y)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(+ (sqrt (* y z)) (* -1/2 (* x (sqrt (/ y z)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y z)) (sqrt.f64 (*.f64 z y)))
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* -1/8 (* x (sqrt (/ y (pow z 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1/2 binary64))) x (sqrt.f64 (*.f64 z y)))
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* -1/16 (* x (sqrt (/ y (pow z 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1/2 binary64))) x (sqrt.f64 (*.f64 z y)))
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)) x)
(* x (- (/ 1 z) (/ y z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(*.f64 (fma.f64 z (/.f64 y x) (-.f64 #s(literal 1 binary64) y)) x)
(* (sqrt (* x y)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x)))
(* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) z) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) z) (/.f64 y x)) x)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)) x)
(* -1 (* x (- y 1)))
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(*.f64 (neg.f64 x) (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64))))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 y x)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x)
(+ (* y (- 1 (/ x z))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (* x y) z)) (/ x z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ y z)) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(sqrt (* y (- z x)))
(sqrt.f64 (*.f64 (-.f64 z x) y))
(* y (- z x))
(*.f64 (-.f64 z x) y)
(/ (* y (- z x)) z)
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* y (+ 1 (* -1 (/ x z))))
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (* x y) z))
(/.f64 (*.f64 (neg.f64 y) x) z)
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* y (- (/ 1 (* y z)) (/ 1 z)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) z)) y)
(* y (- (+ z (/ x y)) x))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 (* y (- (/ x z) 1)))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) z) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y)
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 y))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 (* y (* (pow (sqrt -1) 2) (- z x))))
(*.f64 (-.f64 z x) y)
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x)))))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z))
(*.f64 (/.f64 (-.f64 z x) z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 (* (sqrt (* y (- z x))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) #s(literal 1 binary64))
(/ (+ x (* -1 (* x y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (- 1 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(+ (* 1/2 (* (sqrt (/ y x)) (/ z (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x))))
(+ (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))))) (* (sqrt (* x y)) (sqrt -1)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x))))
(+ (* z (+ (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ y (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt (* x y)) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) z (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x))))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ y (/ (* x (- 1 y)) z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z)
(* z (+ (sqrt (/ y z)) (* -1/2 (* x (sqrt (/ y (pow z 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y z))) z)
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y z)))) z)
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ y (pow z 7)))))))))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y z)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) z)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (*.f64 (/.f64 (-.f64 z x) z) y) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z)
(* -1 (* y (pow (sqrt -1) 2)))
y
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z)))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64))
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))) z)
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)))) z)
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))))) z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (*.f64 (/.f64 (-.f64 z x) z) y) z)

rewrite451.0ms (6.8%)

Memory
-9.0MiB live, 145.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024148
038134
1147134
2946134
09149127
Stop Event
iter limit
node limit
iter limit
Counts
15 → 426
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/.f64 x z)
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
(sqrt.f64 (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))
(-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (neg.f64 y))
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(/.f64 (sqrt.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x))) (sqrt.f64 (+.f64 z x)))
(/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(neg.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)))
(sqrt.f64 (*.f64 (-.f64 z x) y))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)))
(exp.f64 (/.f64 (log.f64 (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)))))
(*.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (-.f64 z x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (neg.f64 (-.f64 z x)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (neg.f64 (sqrt.f64 (-.f64 z x)))) (sqrt.f64 y))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 y) (-.f64 z x))) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 y) (-.f64 z x))) (sqrt.f64 y))
(*.f64 (fabs.f64 (-.f64 z x)) y)
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 z x))) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) #s(literal 1 binary64)))
(*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
(*.f64 (*.f64 (sqrt.f64 y) (-.f64 z x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 y) (-.f64 z x)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 z x))) (*.f64 y (sqrt.f64 (-.f64 z x))))
(*.f64 (neg.f64 (-.f64 z x)) y)
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 z x) y))))
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (-.f64 z x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)))
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y))
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 (-.f64 z x) y))))
(*.f64 (sqrt.f64 (-.f64 z x)) (neg.f64 (*.f64 y (sqrt.f64 (-.f64 z x)))))
(*.f64 (sqrt.f64 (-.f64 z x)) (fabs.f64 (*.f64 y (sqrt.f64 (-.f64 z x)))))
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 y (sqrt.f64 (-.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
(*.f64 (-.f64 z x) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (-.f64 z x) (neg.f64 y))
(*.f64 (-.f64 z x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))
(*.f64 y (*.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 y (fabs.f64 (-.f64 z x)))
(*.f64 y (neg.f64 (-.f64 z x)))
(*.f64 y (-.f64 z x))
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 y (fma.f64 (neg.f64 z) z (*.f64 x x))) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (neg.f64 z) z (*.f64 x x))) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (+.f64 z x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (fabs.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (fabs.f64 (+.f64 z x)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x))) (fabs.f64 (+.f64 z x)))
(/.f64 (fabs.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y)) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y)) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x))
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (+.f64 z x))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(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 (*.f64 (-.f64 z x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal 1/2 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))))

eval385.0ms (5.8%)

Memory
-10.2MiB live, 108.3MiB allocated
Compiler

Compiled 19 980 to 2 336 computations (88.3% saved)

prune18.0ms (0.3%)

Memory
4.9MiB live, 43.8MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New6979706
Fresh303
Picked325
Done000
Total70311714
Accuracy
100.0%
Counts
714 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(/.f64 (fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x) z)
36.6%
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
54.1%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
23.8%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
44.7%
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
70.0%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
79.7%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
37.9%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
37.2%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
23.9%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
37.1%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 370 to 242 computations (34.6% saved)

simplify138.0ms (2.1%)

Memory
25.4MiB live, 220.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032213
044189
181189
2185185
3518181
41486181
54240181
66965181
08064174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
y
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y))
(*.f64 z y)
z
y
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
z
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))
(*.f64 x (-.f64 z (*.f64 z y)))
x
(-.f64 z (*.f64 z y))
z
(*.f64 z y)
y
(*.f64 z z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) y)
y
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
z
y
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
z
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 x (-.f64 z (*.f64 z y)))
(*.f64 (fma.f64 (neg.f64 y) z z) x)
x
(-.f64 z (*.f64 z y))
(fma.f64 (neg.f64 y) z z)
z
(*.f64 z y)
y
(*.f64 z z)

localize117.0ms (1.8%)

Memory
-11.7MiB live, 238.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.741827082262066
(*.f64 x (-.f64 z (*.f64 z y)))
accuracy9.393128749763687
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))
accuracy15.09325190216433
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
accuracy0.00390625
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy3.0875782035208035
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
accuracy14.947597993792222
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy15.303599130112993
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0
(*.f64 z y)
accuracy3.0875782035208035
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
accuracy15.917564917838549
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y))
accuracy16.379314270267226
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
accuracy0.0
(/.f64 x z)
accuracy0.0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
accuracy0.03125
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy15.491158796955512
#s(approx (- 1 y) #s(literal 1 binary64))
Samples
72.0ms126×0valid
23.0ms130×0invalid
Compiler

Compiled 368 to 59 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 55.0ms (68% of total)
ival-mult: 12.0ms (14.8% of total)
ival-sub: 7.0ms (8.7% of total)
ival-add: 3.0ms (3.7% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-2.0MiB live, 36.7MiB allocated
Counts
16 → 78
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(/.f64 x z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y))
(*.f64 z y)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
(*.f64 x (-.f64 z (*.f64 z y)))
(-.f64 z (*.f64 z y))
Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(/ (* x (- z (* y z))) (pow z 2))
(* x (- z (* y z)))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
(+ (* -1 (/ (* x y) z)) (/ x z))
(* x z)
(+ (* -1 (* x (* y z))) (* x z))
z
(+ z (* -1 (* y z)))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (* x z) y)))
(* -1 (* y z))
(* y (- (/ z y) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z))))
(* -1 (* y (* (pow (sqrt -1) 2) (- z x))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))
(* -1 (* y (- (* -1 (/ z y)) (* -1 z))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(* x (* z (- 1 y)))
(* z (- 1 y))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* -1 (* y (pow (sqrt -1) 2)))
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z)))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* x (* z (+ 1 (* -1 y))))
(* z (+ 1 (* -1 y)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y)))
3.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y)))
2.0ms
x
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y)))
2.0ms
y
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y)))
2.0ms
x
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y)))

simplify148.0ms (2.2%)

Memory
7.0MiB live, 153.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188616
1633547
22091543
34910543
08505521
Stop Event
iter limit
node limit
Counts
78 → 75
Calls
Call 1
Inputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(/ (* x (- z (* y z))) (pow z 2))
(* x (- z (* y z)))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ (* x (- 1 y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
(+ (* -1 (/ (* x y) z)) (/ x z))
(* x z)
(+ (* -1 (* x (* y z))) (* x z))
z
(+ z (* -1 (* y z)))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (* x z) y)))
(* -1 (* y z))
(* y (- (/ z y) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z))))
(* -1 (* y (* (pow (sqrt -1) 2) (- z x))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))
(* -1 (* y (- (* -1 (/ z y)) (* -1 z))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(* x (* z (- 1 y)))
(* z (- 1 y))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* -1 (* y (pow (sqrt -1) 2)))
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z)))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* x (* z (+ 1 (* -1 y))))
(* z (+ 1 (* -1 y)))
Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ y (* x (- (/ 1 z) (/ y z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ x z)
(/.f64 x z)
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (* x (- z (* y z))) (pow z 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (- z (* y z)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (* x (+ 1 (* -1 y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* x (- (/ 1 z) (/ y z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (fma.f64 (/.f64 y x) z (neg.f64 y)) x x)
(* -1 (/ (* x (- y 1)) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(/ (* x (- 1 y)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (fma.f64 (/.f64 y x) z (neg.f64 y)) x x)
(+ (* y (- 1 (/ x z))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ (* x y) z)) (/ x z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* x z)
(*.f64 z x)
(+ (* -1 (* x (* y z))) (* x z))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
z
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (* y (- z x)) z)
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* y (+ 1 (* -1 (/ x z))))
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 (/ (* x y) z))
(/.f64 (*.f64 (neg.f64 y) x) z)
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(* y (+ (* -1 (* x z)) (/ (* x z) y)))
(*.f64 x (*.f64 (-.f64 (/.f64 z y) z) y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (- (/ z y) z))
(*.f64 (-.f64 (/.f64 z y) z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 (* y (- (/ x z) 1)))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z))
(*.f64 (/.f64 (-.f64 z x) z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* -1 (* y (* (pow (sqrt -1) 2) (- z x))))
(*.f64 (-.f64 z x) y)
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x)))))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y)
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))
(*.f64 x (*.f64 (-.f64 (/.f64 z y) z) y))
(* -1 (* y (- (* -1 (/ z y)) (* -1 z))))
(*.f64 (-.f64 (/.f64 z y) z) y)
(/ (+ x (* -1 (* x y))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(* x (* z (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ y (/ (* x (- 1 y)) z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (pow (sqrt -1) 2)))
y
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z)))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* x (* z (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* z (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)

rewrite143.0ms (2.1%)

Memory
15.4MiB live, 172.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032192
044168
1174168
21108168
08689161
Stop Event
iter limit
node limit
iter limit
Counts
16 → 195
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
(/.f64 x z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y))
(*.f64 z y)
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
(*.f64 x (-.f64 z (*.f64 z y)))
(-.f64 z (*.f64 z y))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y))
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(+.f64 z (*.f64 (neg.f64 z) y))

eval29.0ms (0.4%)

Memory
5.4MiB live, 43.1MiB allocated
Compiler

Compiled 8 116 to 933 computations (88.5% saved)

prune11.0ms (0.2%)

Memory
-17.9MiB live, 20.1MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2382240
Fresh134
Picked145
Done022
Total24011251
Accuracy
100.0%
Counts
251 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
54.1%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
23.8%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
44.7%
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
70.0%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
79.7%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
19.5%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
37.2%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
39.4%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
23.9%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
37.1%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
Compiler

Compiled 320 to 210 computations (34.4% saved)

simplify197.0ms (3%)

Memory
-9.9MiB live, 202.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034264
051264
194264
2198264
3536260
41800256
55516256
08254251
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
z
x
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))
x
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 z z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))
(fma.f64 (neg.f64 y) z z)
(neg.f64 y)
y
z
(/.f64 x (*.f64 z z))
x
(*.f64 z z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y)
(/.f64 x z)
x
z
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
z
x
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (/.f64 x z) z) #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))))
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))
(*.f64 (/.f64 (/.f64 x z) z) #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))
(*.f64 #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) x)
x
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 z z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(fma.f64 (neg.f64 y) z z)
(fma.f64 (neg.f64 z) y z)
(neg.f64 y)
y
z
(/.f64 x (*.f64 z z))
(/.f64 (/.f64 x z) z)
x
(*.f64 z z)

localize73.0ms (1.1%)

Memory
23.0MiB live, 97.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 y)
accuracy8.306587150690238
(/.f64 x (*.f64 z z))
accuracy17.727355794280285
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))
accuracy28.210920284310333
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
accuracy1.963577200111589
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))
accuracy21.25195557141768
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))
accuracy28.210920284310333
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
accuracy33.35616017313471
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))
accuracy0.0078125
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy2.9340928631592336
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy28.210920284310333
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy33.67475536221118
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0078125
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy2.9340928631592336
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
accuracy28.210920284310333
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
accuracy29.506898181247834
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0.0
(neg.f64 y)
accuracy0.0
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
accuracy0.0390625
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
accuracy33.67475536221118
#s(approx (- 1 y) (neg.f64 y))
Samples
53.0ms256×0valid
Compiler

Compiled 435 to 63 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 13.0ms (42.2% of total)
ival-div: 8.0ms (26% of total)
ival-sub: 4.0ms (13% of total)
ival-add: 3.0ms (9.7% of total)
ival-neg: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-34.8MiB live, 48.0MiB allocated
Counts
20 → 62
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(/.f64 x z)
#s(approx (- 1 y) (neg.f64 y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
(fma.f64 (neg.f64 y) z z)
(neg.f64 y)
(/.f64 x (*.f64 z z))
Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(/ (* x (- 1 y)) z)
(/ (* x (- z (* y z))) (pow z 2))
(* x (- z (* y z)))
(/ (* x (+ z (* -1 (* y z)))) (pow z 2))
(/ x (pow z 2))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(* x z)
(+ (* -1 (* x (* y z))) (* x z))
z
(+ z (* -1 (* y z)))
(* -1 y)
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (- (/ 1 y) 1))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (* x z) y)))
(* -1 (* y z))
(* y (- (/ z y) z))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))
(* -1 (* y (- (* -1 (/ z y)) (* -1 z))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (- 1 y) z)
(* x (* z (- 1 y)))
(* z (- 1 y))
(* z (+ 1 (* -1 y)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* x (* z (+ 1 (* -1 y))))
(* -1 (* z (- y 1)))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z)))
3.0ms
x
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z)))
3.0ms
x
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z)))
3.0ms
z
@-inf
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z)))
3.0ms
z
@0
((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z)))

simplify126.0ms (1.9%)

Memory
35.2MiB live, 191.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143505
1453447
21365439
34607439
08344427
Stop Event
iter limit
node limit
Counts
62 → 60
Calls
Call 1
Inputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(/ (* x (- 1 y)) z)
(/ (* x (- z (* y z))) (pow z 2))
(* x (- z (* y z)))
(/ (* x (+ z (* -1 (* y z)))) (pow z 2))
(/ x (pow z 2))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(* x z)
(+ (* -1 (* x (* y z))) (* x z))
z
(+ z (* -1 (* y z)))
(* -1 y)
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (- (/ 1 y) 1))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (* x z) y)))
(* -1 (* y z))
(* y (- (/ z y) z))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(* -1 (* y (- (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))
(* -1 (* y (- (* -1 (/ z y)) (* -1 z))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (- 1 y) z)
(* x (* z (- 1 y)))
(* z (- 1 y))
(* z (+ 1 (* -1 y)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* x (* z (+ 1 (* -1 y))))
(* -1 (* z (- y 1)))
Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ y (* x (- (/ 1 z) (/ y z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ x z)
(/.f64 x z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(/ (* x (- z (* y z))) (pow z 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(* x (- z (* y z)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(/ (* x (+ z (* -1 (* y z)))) (pow z 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (* x (+ 1 (* -1 y))) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* x (- (/ 1 z) (/ y z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* -1 (/ (* x (- y 1)) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
(+ (* y (- 1 (/ x z))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (* x y) z)) (/ x z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ y z)) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(* x z)
(*.f64 z x)
(+ (* -1 (* x (* y z))) (* x z))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
z
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(/ (* y (- z x)) z)
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* y (+ 1 (* -1 (/ x z))))
(*.f64 (/.f64 (-.f64 z x) z) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
(* y (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
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(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) z)) y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* y (+ (* -1 (* x z)) (/ (* x z) y)))
(*.f64 (*.f64 z (-.f64 (/.f64 x y) x)) y)
(* -1 (* y z))
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(*.f64 (-.f64 (/.f64 z y) z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
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(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y)
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(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y)
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 y))
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(*.f64 (-.f64 (/.f64 z y) z) y)
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(*.f64 (-.f64 (/.f64 z y) z) y)
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(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
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(/.f64 (fma.f64 (-.f64 z x) y x) z)
(+ y (/ (* x (- 1 y)) z))
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(* x (* z (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(* -1 (* z (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)

rewrite308.0ms (4.6%)

Memory
-18.5MiB live, 200.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034227
051227
1172227
21147227
08370222
Stop Event
iter limit
node limit
iter limit
Counts
20 → 394
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(/.f64 x z)
#s(approx (- 1 y) (neg.f64 y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
(fma.f64 (neg.f64 y) z z)
(neg.f64 y)
(/.f64 x (*.f64 z z))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 x z)) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 (/.f64 x z)) #s(approx (- 1 y) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (*.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 x z) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 x z) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 (neg.f64 (/.f64 x z))) #s(approx (- 1 y) (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x z)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 x z))) #s(approx (- 1 y) (neg.f64 y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z y z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 z) y) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 z y z)) (*.f64 (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (fma.f64 z y z) (fma.f64 z y z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (-.f64 (*.f64 (neg.f64 z) y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 (neg.f64 z) y) z) (-.f64 (*.f64 (neg.f64 z) y) z)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z y z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y z))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 z) y) z))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z)))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 z) y))
(fma.f64 (/.f64 (neg.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (neg.f64 z)) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z)))
(fma.f64 (/.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 z) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z)))
(fma.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) (/.f64 z z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 z) y))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 z) y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 z) y z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 z (neg.f64 y) z)
(fma.f64 y (neg.f64 z) z)
(-.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z)))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) y) z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))
(-.f64 z (*.f64 (neg.f64 z) (neg.f64 y)))
(-.f64 z (*.f64 z y))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z)))
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (neg.f64 z) y) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))
(+.f64 (*.f64 (neg.f64 z) y) z)
(+.f64 z (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y))
(+.f64 z (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z))
(+.f64 z (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z)))
(+.f64 z (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(+.f64 z (*.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x (neg.f64 z)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 z z))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 z))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x z) z)
(/.f64 x (*.f64 z z))
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) z)))

eval65.0ms (1%)

Memory
15.8MiB live, 87.0MiB allocated
Compiler

Compiled 15 638 to 1 570 computations (90% saved)

prune18.0ms (0.3%)

Memory
-23.6MiB live, 25.7MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New4441445
Fresh000
Picked055
Done066
Total44412456
Accuracy
100.0%
Counts
456 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
54.1%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
23.8%
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
44.7%
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
70.0%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
79.7%
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
19.5%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
37.2%
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
39.4%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
23.9%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
37.1%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
26.7%
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
Compiler

Compiled 613 to 240 computations (60.8% saved)

regimes27.0ms (0.4%)

Memory
14.1MiB live, 52.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))))
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)))
(/.f64 (fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x) z)
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) z)))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
Calls

4 calls:

8.0ms
z
6.0ms
y
6.0ms
x
6.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes23.0ms (0.4%)

Memory
-26.4MiB live, 46.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
Calls

4 calls:

7.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
7.0ms
x
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
87.5%3x
98.8%3y
86.4%3z
90.4%4(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes4.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.8%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.2%)

Memory
-15.6MiB live, 32.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Calls

3 calls:

7.0ms
x
3.0ms
y
3.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
87.5%3x
82.9%2(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
83.9%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes15.0ms (0.2%)

Memory
8.7MiB live, 47.1MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
Calls

4 calls:

5.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
83.9%3y
79.7%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
79.7%1z
82.0%2x
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes12.0ms (0.2%)

Memory
-10.3MiB live, 29.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
Calls

4 calls:

4.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
79.7%1z
79.7%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
79.7%1x
79.7%1y
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes9.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z)
Outputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
Calls

4 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
62.5%3x
60.1%3y
63.7%3z
53.3%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
Outputs
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
Calls

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
44.7%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
44.7%1y
44.7%1x
44.7%1z
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch39.0ms (0.6%)

Memory
-4.9MiB live, 34.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
0.11717939593467505
0.4238559537656841
30.0ms
-23540015925203240.0
-1.259510907896417e-7
Samples
27.0ms256×0valid
Compiler

Compiled 668 to 493 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.2% of total)
ival-mult: 2.0ms (32.2% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.11717939593467505
0.4238559537656841
1.0ms
-23540015925203240.0
-1.259510907896417e-7
Compiler

Compiled 604 to 445 computations (26.3% saved)

bsearch59.0ms (0.9%)

Memory
-14.1MiB live, 29.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.2772230896380559e+91
6.2844834995481036e+91
49.0ms
-1.2158811807298227e+209
-4.769459681217533e+191
Samples
12.0ms256×0valid
Compiler

Compiled 604 to 461 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.9% of total)
ival-mult: 2.0ms (31.9% of total)
ival-sub: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.8%)

Memory
-5.0MiB live, 32.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
7.491259917625674e+255
1.7557130098693685e+265
11.0ms
594971983580768.3
1821458676555226600.0
Samples
44.0ms272×0valid
Compiler

Compiled 683 to 487 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.5% of total)
ival-mult: 2.0ms (29.5% of total)
ival-sub: 1.0ms (14.8% of total)
ival-add: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.7%)

Memory
-0.5MiB live, 36.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
4.609509579102755e-98
2.912303631976265e-86
12.0ms
-6587674.38987146
-51.76522941594671
Samples
33.0ms304×0valid
Compiler

Compiled 620 to 412 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (26.8% of total)
ival-div: 2.0ms (26.8% of total)
ival-mult: 2.0ms (26.8% of total)
ival-add: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (1%)

Memory
-3.9MiB live, 32.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062283
196283
2134283
3193283
4240283
5265283
6280283
7287283
8298283
9309283
10321283
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 x #s(literal -479999999999999971511819589598252893805918984785265246585655141320429864796050715792009645451517618082551375211476917278740183091722924987082088774913577694334390270791478244747220457713827840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(if (<=.f64 y #s(literal 200000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 31999999999999997720762896651736241180055658265970451591417007382447043051344879808247882926116424846159180472625522032813833379728035922149718859500199128867355342743865749740148623905382664556276212709356091582353468479193886779838194274456813699485551663513600 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 z #s(literal -155 binary64)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) (if (<=.f64 z #s(literal 2029768672598635/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)))
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)))
(if (<=.f64 x #s(literal -479999999999999971511819589598252893805918984785265246585655141320429864796050715792009645451517618082551375211476917278740183091722924987082088774913577694334390270791478244747220457713827840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(if (or (<=.f64 x #s(literal -479999999999999971511819589598252893805918984785265246585655141320429864796050715792009645451517618082551375211476917278740183091722924987082088774913577694334390270791478244747220457713827840 binary64)) (not (<=.f64 x #s(literal 13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal 200000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 31999999999999997720762896651736241180055658265970451591417007382447043051344879808247882926116424846159180472625522032813833379728035922149718859500199128867355342743865749740148623905382664556276212709356091582353468479193886779838194274456813699485551663513600 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)))
(if (<=.f64 y #s(literal 200000000000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 31999999999999997720762896651736241180055658265970451591417007382447043051344879808247882926116424846159180472625522032813833379728035922149718859500199128867355342743865749740148623905382664556276212709356091582353468479193886779838194274456813699485551663513600 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (+ x (* y (- z x))) z) y)))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 z #s(literal -155 binary64)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) (if (<=.f64 z #s(literal 2029768672598635/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)))
(if (<=.f64 z #s(literal -155 binary64)) #s(approx (/ (+ x (* y (- z x))) z) y) (if (<=.f64 z #s(literal 2029768672598635/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) y)))
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y)
#s(approx (/ (+ x (* y (- z x))) z) y)

soundness1.5s (22.5%)

Memory
23.5MiB live, 545.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034227
051227
1172227
21147227
08370222
0724
01124
14524
232524
3375524
0830122
0106326
1371245
21249245
34274245
47887245
08017230
03231323
110841197
242261182
084091126
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 599 to 258 computations (56.9% saved)

preprocess372.0ms (5.6%)

Memory
5.8MiB live, 115.9MiB allocated
Compiler

Compiled 626 to 148 computations (76.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...