Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze162.0ms (2.1%)

Memory
-6.9MiB live, 197.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
37.5%37.4%62.4%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
65.6%65.5%34.3%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample906.0ms (11.6%)

Memory
12.2MiB live, 1 378.7MiB allocated
Samples
585.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-mult: 216.0ms (60.2% of total)
ival-div: 99.0ms (27.6% of total)
ival-add: 35.0ms (9.8% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain119.0ms (1.5%)

Memory
14.2MiB live, 217.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-3(2.2683824022024703e+170 7.463892034976318e-78 -2.089741194161058e-161 -1.4592505806019263e-61)(/.f64 (*.f64 z z) (*.f64 t t))
570-5(-9.29985449444508e-158 -1.7931033913228056e-116 -6.970469751199865e-116 4.1361766104111915e-283)(/.f64 (*.f64 x x) (*.f64 y y))
00-0-t
00-0-(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 t t)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 z z) (*.f64 t t))u/u150
(*.f64 z z)underflow68
(*.f64 t t)underflow65
/.f64(/.f64 (*.f64 z z) (*.f64 t t))o/o130
(*.f64 z z)overflow66
(*.f64 t t)overflow62
/.f64(/.f64 (*.f64 z z) (*.f64 t t))o/n110
(*.f64 z z)overflow66
/.f64(/.f64 (*.f64 z z) (*.f64 t t))n/u90
(*.f64 t t)underflow65
/.f64(/.f64 (*.f64 x x) (*.f64 y y))n/o80
(*.f64 y y)overflow60
/.f64(/.f64 (*.f64 x x) (*.f64 y y))u/u70
(*.f64 x x)underflow59
(*.f64 y y)underflow60
/.f64(/.f64 (*.f64 x x) (*.f64 y y))o/o70
(*.f64 x x)overflow45
(*.f64 y y)overflow60
/.f64(/.f64 (*.f64 z z) (*.f64 t t))n/o60
(*.f64 t t)overflow62
/.f64(/.f64 (*.f64 x x) (*.f64 y y))n/u60
(*.f64 y y)underflow60
/.f64(/.f64 (*.f64 z z) (*.f64 t t))u/n60
(*.f64 z z)underflow68
/.f64(/.f64 (*.f64 x x) (*.f64 y y))u/n50
(*.f64 x x)underflow59
/.f64(/.f64 (*.f64 x x) (*.f64 y y))o/n40
(*.f64 x x)overflow45
Confusion
Predicted +Predicted -
+706
-26154
Precision
0.7291666666666666
Recall
0.9210526315789473
Confusion?
Predicted +Predicted MaybePredicted -
+7006
-260154
Precision?
0.7291666666666666
Recall?
0.9210526315789473
Freqs
test
numberfreq
0160
195
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (55.4% of total)
ival-div: 8.0ms (34.1% of total)
ival-add: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess69.0ms (0.9%)

Memory
8.3MiB live, 46.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044214
1181214
2992214
33095214
45386214
55712214
65712214
01115
01815
14715
218315
365115
4134015
5140315
0140314
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 z t) (/.f64 z t)))
Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify18.0ms (0.2%)

Memory
-18.1MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
14745
218345
365145
4134045
5140345
0140344
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
Outputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 z t) (/.f64 z t)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 z z)
z
(*.f64 t t)
t

localize24.0ms (0.3%)

Memory
32.8MiB live, 32.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t t)
accuracy12.429954522689739
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy16.839558223586547
(/.f64 (*.f64 z z) (*.f64 t t))
Samples
18.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.6% of total)
ival-div: 3.0ms (30.8% of total)
ival-add: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-18.5MiB live, 20.2MiB allocated
Counts
6 → 10
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 t t)
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
Calls

12 calls:

TimeVariablePointExpression
12.0ms
x
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t))
2.0ms
z
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t))
2.0ms
x
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t))
1.0ms
z
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t))
1.0ms
t
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t))

simplify109.0ms (1.4%)

Memory
6.0MiB live, 83.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02998
16598
225798
3226098
0829393
Stop Event
iter limit
node limit
Counts
10 → 10
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(pow y 2)
(*.f64 y y)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(pow t 2)
(*.f64 t t)

rewrite182.0ms (2.3%)

Memory
-5.2MiB live, 152.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
01838
17630
275830
0905930
Stop Event
iter limit
node limit
iter limit
Counts
6 → 188
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 t t)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))))
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(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) (*.f64 (*.f64 (neg.f64 t) t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 t) t) y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 t t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (*.f64 (*.f64 t t) y)))
(+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) x) t) (*.f64 y t)) (/.f64 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y t)))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 y (*.f64 (neg.f64 t) t))) (/.f64 (*.f64 y (*.f64 (neg.f64 z) z)) (*.f64 y (*.f64 (neg.f64 t) t))))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (*.f64 y (*.f64 t t))) (/.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 t t))))
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) t) (*.f64 (*.f64 (neg.f64 y) y) t)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 t)) (*.f64 (*.f64 (neg.f64 y) y) t)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) t) (*.f64 (*.f64 y y) t)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 y y) t)))
(+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 x (/.f64 (/.f64 x y) y))
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 x)) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 x x) (*.f64 y y))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))
(*.f64 z (/.f64 (/.f64 z t) t))
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) t)
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t))
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t))
(/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (neg.f64 t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 z z) (*.f64 t t))
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)))
(*.f64 (neg.f64 t) (neg.f64 t))
(*.f64 t t)
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64))
(pow.f64 (neg.f64 t) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1 binary64))
(pow.f64 t #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 t) t))
(sqrt.f64 (pow.f64 t #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 t) t))
(fabs.f64 (*.f64 t t))
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))))

eval21.0ms (0.3%)

Memory
6.8MiB live, 44.8MiB allocated
Compiler

Compiled 4 721 to 610 computations (87.1% saved)

prune44.0ms (0.6%)

Memory
-12.4MiB live, 25.6MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New18014194
Fresh000
Picked011
Done000
Total18015195
Accuracy
100.0%
Counts
195 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
84.9%
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
13.8%
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))))
13.8%
(/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))
64.2%
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
80.6%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
83.3%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
71.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
87.6%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
78.0%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
79.4%
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
80.9%
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
75.9%
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
93.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
Compiler

Compiled 577 to 385 computations (33.3% saved)

simplify384.0ms (4.9%)

Memory
31.1MiB live, 338.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 (/.f64 z t) z)
cost-diff0
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))
cost-diff6
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff1
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
cost-diff2
(/.f64 (*.f64 x x) (*.f64 y y))
cost-diff0
(/.f64 (*.f64 z z) (*.f64 t t))
cost-diff0
(/.f64 x y)
cost-diff1
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff2
(*.f64 (/.f64 x y) (/.f64 x y))
cost-diff0
(/.f64 z t)
cost-diff0
(/.f64 (/.f64 z t) t)
cost-diff0
(*.f64 (/.f64 (/.f64 z t) t) z)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
cost-diff0
(/.f64 x y)
cost-diff0
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035219
057200
1113200
2369200
31456200
44962200
08071200
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(/.f64 z t)
z
t
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
y
(*.f64 t (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
(*.f64 t y)
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(/.f64 z t)
z
t
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 (*.f64 x t) (/.f64 x y)))
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
y
(*.f64 t (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 x t) (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
(*.f64 t y)
(*.f64 y t)

localize114.0ms (1.5%)

Memory
-32.3MiB live, 100.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (/.f64 z t) z)
accuracy2.995679662638036
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))
accuracy4.542396846885426
(*.f64 t (*.f64 (/.f64 x y) x))
accuracy8.466340167642972
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
accuracy0.0
(*.f64 x x)
accuracy0.1484375
(*.f64 (/.f64 z t) z)
accuracy5.284355276811778
(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy12.429954522689739
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 t t)
accuracy0.22722626953688402
(*.f64 (/.f64 x y) (/.f64 x y))
accuracy16.839558223586547
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy0.0
(/.f64 z t)
accuracy0.10546875
(/.f64 (/.f64 z t) t)
accuracy4.618334185024336
(*.f64 (/.f64 (/.f64 z t) t) z)
accuracy24.83874013609194
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
accuracy0.0
(/.f64 z t)
accuracy0.0
(/.f64 x y)
accuracy0.0859375
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy0.22722626953688402
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
Samples
86.0ms256×0valid
Compiler

Compiled 216 to 32 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-add: 35.0ms (51.2% of total)
ival-mult: 20.0ms (29.3% of total)
ival-div: 10.0ms (14.6% of total)
ival-pow2: 2.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory
11.5MiB live, 48.9MiB allocated
Counts
21 → 26
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(*.f64 (/.f64 x y) (/.f64 x y))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(*.f64 x x)
(*.f64 y y)
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 z t) z)
(*.f64 t t)
(*.f64 z z)
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 t (*.f64 (/.f64 x y) x))
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(pow x 2)
(/ (* y (pow z 2)) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(/ (* t (pow x 2)) y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(/ z t)
(/ z (pow t 2))
(/ (pow z 2) t)
(pow z 2)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(pow t 2)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
t
@0
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (* (/ x y) (/ x y)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (/ z t) z) (* t t) (* z z) (/ (* (/ z t) z) t) (* t (* (/ x y) x)))
6.0ms
z
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (* (/ x y) (/ x y)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (/ z t) z) (* t t) (* z z) (/ (* (/ z t) z) t) (* t (* (/ x y) x)))
4.0ms
x
@inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (* (/ x y) (/ x y)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (/ z t) z) (* t t) (* z z) (/ (* (/ z t) z) t) (* t (* (/ x y) x)))
4.0ms
t
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (* (/ x y) (/ x y)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (/ z t) z) (* t t) (* z z) (/ (* (/ z t) z) t) (* t (* (/ x y) x)))
3.0ms
y
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (* (/ x y) (/ x y)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (/ z t) z) (* t t) (* z z) (/ (* (/ z t) z) t) (* t (* (/ x y) x)))

simplify321.0ms (4.1%)

Memory
16.5MiB live, 263.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070306
1210306
2843306
35307306
08418292
Stop Event
iter limit
node limit
Counts
26 → 26
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(pow x 2)
(/ (* y (pow z 2)) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(/ (* t (pow x 2)) y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(/ z t)
(/ z (pow t 2))
(/ (pow z 2) t)
(pow z 2)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(pow t 2)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ x y)
(/.f64 x y)
(pow x 2)
(*.f64 x x)
(/ (* y (pow z 2)) t)
(/.f64 (*.f64 (*.f64 z z) y) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(fma.f64 (*.f64 (/.f64 y t) z) z (/.f64 (*.f64 (*.f64 x x) t) y))
(/ (* t (pow x 2)) y)
(/.f64 (*.f64 (*.f64 x x) t) y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) z) (/.f64 z t) (/.f64 t y)) (*.f64 x x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (*.f64 y (/.f64 y t)) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y (*.f64 (*.f64 x x) t)) y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(*.f64 (fma.f64 (*.f64 t (/.f64 x y)) (/.f64 x y) (/.f64 (*.f64 z z) t)) y)
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (*.f64 t (/.f64 x y)) (/.f64 x y) (/.f64 (*.f64 z z) t)) y)
(/ z t)
(/.f64 z t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) x) (/.f64 x y) (/.f64 y t)) (*.f64 z z))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) t) y) y) t (*.f64 z z)) t) t)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) t) y) t (*.f64 (*.f64 z z) y)) t)
(pow t 2)
(*.f64 t t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x (/.f64 (/.f64 (*.f64 (*.f64 z z) y) t) t)) t)
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 (/.f64 x y) x (/.f64 (/.f64 (*.f64 (*.f64 z z) y) t) t)) t)

rewrite345.0ms (4.4%)

Memory
-7.5MiB live, 224.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035172
057140
1194140
21666140
09851140
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 305
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(*.f64 (/.f64 x y) (/.f64 x y))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(*.f64 x x)
(*.f64 y y)
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
(fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 z t) z)
(*.f64 t t)
(*.f64 z z)
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 t (*.f64 (/.f64 x y) x))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) x) (/.f64 x y)) (*.f64 y t)) (/.f64 (*.f64 (*.f64 (neg.f64 t) x) (/.f64 x y)) (*.f64 y t)))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z) (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
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(*.f64 (*.f64 (/.f64 x y) t) x)
(*.f64 (*.f64 (/.f64 x y) x) t)
(*.f64 (/.f64 x y) (*.f64 x t))
(*.f64 x (fabs.f64 (*.f64 (/.f64 x y) t)))
(*.f64 x (*.f64 (/.f64 x y) t))
(*.f64 t (*.f64 (/.f64 x y) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) t)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x x) t) y)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) t) #s(literal 2 binary64)))
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eval115.0ms (1.5%)

Memory
11.9MiB live, 132.5MiB allocated
Compiler

Compiled 20 332 to 2 194 computations (89.2% saved)

prune230.0ms (3%)

Memory
-72.0MiB live, 89.9MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New72415739
Fresh639
Picked235
Done011
Total73222754
Accuracy
100.0%
Counts
754 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
99.0%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
87.6%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
92.9%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
84.9%
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
87.6%
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 (*.f64 (/.f64 x y) x) t)) t) y)
13.8%
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))))))
51.0%
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
80.6%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
79.2%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
71.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
79.4%
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
80.9%
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
75.9%
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
50.4%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
53.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
61.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
51.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))))
73.0%
#s(approx (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)))
Compiler

Compiled 815 to 528 computations (35.2% saved)

simplify48.0ms (0.6%)

Memory
6.6MiB live, 45.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (neg.f64 x) x) y)
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
cost-diff2
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (*.f64 y y))
cost-diff1
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
(/.f64 (*.f64 (*.f64 z z) y) t)
cost-diff0
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t))
cost-diff0
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
cost-diff0
(*.f64 t t)
cost-diff0
(/.f64 z (*.f64 t t))
cost-diff0
(*.f64 (/.f64 z (*.f64 t t)) z)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (/.f64 x y))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044235
067229
1133229
2377229
31138229
42139229
52329229
62346229
72355229
02355227
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
z
t
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(/.f64 z (*.f64 t t))
z
(*.f64 t t)
t
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t))
(/.f64 (*.f64 (*.f64 z z) y) t)
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
t
(*.f64 t y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
(/.f64 z t)
z
t
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(neg.f64 y)
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 z t)
z
t
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 z (*.f64 t t))
(/.f64 (/.f64 z t) t)
z
(*.f64 t t)
t
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 y t))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
(/.f64 (*.f64 (*.f64 z z) y) t)
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
t
(*.f64 t y)
(*.f64 y t)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (*.f64 z z) t)
(*.f64 (/.f64 z t) z)
(*.f64 z z)
z
t
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 z t)
z
t
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(neg.f64 y)

localize133.0ms (1.7%)

Memory
11.5MiB live, 166.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0859375
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
accuracy2.491897731553178
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))
accuracy5.2338508269104995
(/.f64 (*.f64 (neg.f64 x) x) y)
accuracy0.0
(*.f64 x x)
accuracy5.284355276811778
(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy7.580831045652093
(/.f64 (*.f64 z z) t)
accuracy12.429954522689739
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy6.006541489798917
(*.f64 (*.f64 z z) y)
accuracy6.221448618180764
(/.f64 (*.f64 (*.f64 z z) y) t)
accuracy8.466340167642972
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
accuracy28.008759329415177
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t))
accuracy0.0
(*.f64 t t)
accuracy4.618334185024336
(*.f64 (/.f64 z (*.f64 t t)) z)
accuracy6.778485047413069
(/.f64 z (*.f64 t t))
accuracy24.83874013609194
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
accuracy0.0
(/.f64 z t)
accuracy0.0
(/.f64 x y)
accuracy0.0859375
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy0.22722626953688402
(*.f64 (/.f64 x y) (/.f64 x y))
Samples
71.0ms256×0valid
Compiler

Compiled 215 to 38 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 24.0ms (51.3% of total)
ival-div: 16.0ms (34.2% of total)
ival-add: 5.0ms (10.7% of total)
ival-neg: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
2.4MiB live, 39.5MiB allocated
Counts
22 → 28
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(/.f64 z (*.f64 t t))
(*.f64 t t)
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t))
(/.f64 (*.f64 (*.f64 z z) y) t)
(*.f64 (*.f64 z z) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (*.f64 z z) t)
(/.f64 (/.f64 (*.f64 z z) t) t)
(neg.f64 x)
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ (* y (pow z 2)) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(pow x 2)
(* -1 (/ (pow x 2) y))
(* -1 x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (* t (pow x 2)) y)
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(* y (pow z 2))
(pow y 2)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(/ z t)
(/ z (pow t 2))
(/ (pow z 2) t)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
Calls

12 calls:

TimeVariablePointExpression
10.0ms
t
@0
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/ (* (* z z) y) t) (* (* z z) y) (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/ (* x x) (* y y)) (* x x) (* y y) (/ (/ (* (neg x) x) y) (neg y)) (+ (* (/ z t) (/ z t)) (/ (/ (* (neg x) x) y) (neg y))) (/ (* (neg x) x) y) (/ (* z z) t) (/ (/ (* z z) t) t) (neg x))
3.0ms
y
@-inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/ (* (* z z) y) t) (* (* z z) y) (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/ (* x x) (* y y)) (* x x) (* y y) (/ (/ (* (neg x) x) y) (neg y)) (+ (* (/ z t) (/ z t)) (/ (/ (* (neg x) x) y) (neg y))) (/ (* (neg x) x) y) (/ (* z z) t) (/ (/ (* z z) t) t) (neg x))
3.0ms
z
@inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/ (* (* z z) y) t) (* (* z z) y) (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/ (* x x) (* y y)) (* x x) (* y y) (/ (/ (* (neg x) x) y) (neg y)) (+ (* (/ z t) (/ z t)) (/ (/ (* (neg x) x) y) (neg y))) (/ (* (neg x) x) y) (/ (* z z) t) (/ (/ (* z z) t) t) (neg x))
3.0ms
t
@-inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/ (* (* z z) y) t) (* (* z z) y) (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/ (* x x) (* y y)) (* x x) (* y y) (/ (/ (* (neg x) x) y) (neg y)) (+ (* (/ z t) (/ z t)) (/ (/ (* (neg x) x) y) (neg y))) (/ (* (neg x) x) y) (/ (* z z) t) (/ (/ (* z z) t) t) (neg x))
3.0ms
z
@-inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/ (* (* z z) y) t) (* (* z z) y) (+ (/ (* x x) (* y y)) (/ (/ (* z z) t) t)) (/ (* x x) (* y y)) (* x x) (* y y) (/ (/ (* (neg x) x) y) (neg y)) (+ (* (/ z t) (/ z t)) (/ (/ (* (neg x) x) y) (neg y))) (/ (* (neg x) x) y) (/ (* z z) t) (/ (/ (* z z) t) t) (neg x))

simplify244.0ms (3.1%)

Memory
5.6MiB live, 309.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071316
1213316
2845316
35303316
08409302
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ (* y (pow z 2)) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(pow x 2)
(* -1 (/ (pow x 2) y))
(* -1 x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (* t (pow x 2)) y)
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(* y (pow z 2))
(pow y 2)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(/ z t)
(/ z (pow t 2))
(/ (pow z 2) t)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ x y)
(/.f64 x y)
(/ (* y (pow z 2)) t)
(/.f64 (*.f64 (*.f64 z z) y) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(fma.f64 (*.f64 (/.f64 y t) z) z (/.f64 (*.f64 (*.f64 x x) t) y))
(pow x 2)
(*.f64 x x)
(* -1 (/ (pow x 2) y))
(*.f64 (neg.f64 x) (/.f64 x y))
(* -1 x)
(neg.f64 x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x))
(/ (* t (pow x 2)) y)
(/.f64 (*.f64 (*.f64 x x) t) y)
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) z) (/.f64 z t) (/.f64 t y)) (*.f64 x x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (*.f64 y (/.f64 y t)) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y (*.f64 (*.f64 x x) t)) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(pow y 2)
(*.f64 y y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(*.f64 (fma.f64 (/.f64 z t) z (/.f64 (/.f64 (*.f64 (*.f64 x x) t) y) y)) y)
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z (/.f64 (/.f64 (*.f64 (*.f64 x x) t) y) y)) y)
(/ z t)
(/.f64 z t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) x) (/.f64 x y) (/.f64 y t)) (*.f64 z z))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) t) y) y) t (*.f64 z z)) t) t)
(pow t 2)
(*.f64 t t)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) t) y) t (*.f64 (*.f64 z z) y)) t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x (/.f64 (/.f64 (*.f64 (*.f64 z z) y) t) t)) t)
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 (/.f64 x y) x (/.f64 (/.f64 (*.f64 (*.f64 z z) y) t) t)) t)

rewrite227.0ms (2.9%)

Memory
-3.0MiB live, 287.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044200
067170
1227170
22003170
09804168
Stop Event
iter limit
node limit
iter limit
Counts
22 → 830
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(/.f64 z (*.f64 t t))
(*.f64 t t)
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t))
(/.f64 (*.f64 (*.f64 z z) y) t)
(*.f64 (*.f64 z z) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (*.f64 z z) t)
(/.f64 (/.f64 (*.f64 z z) t) t)
(neg.f64 x)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z) (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) t) (*.f64 (*.f64 y y) t)) (/.f64 (*.f64 (*.f64 x x) t) (*.f64 (*.f64 y y) t))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t) (*.f64 (*.f64 y y) t)) (/.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) t) (*.f64 (*.f64 y y) t)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z) (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 (/.f64 z t) t)) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 z t) (/.f64 (neg.f64 z) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (/.f64 (neg.f64 z) t))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))))
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(+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
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(*.f64 (neg.f64 x) (/.f64 x y))
(*.f64 (/.f64 x y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(/.f64 (*.f64 x x) (neg.f64 y))
(neg.f64 (*.f64 (/.f64 x y) x))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 z t) z)
(*.f64 z (/.f64 z t))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t))
(/.f64 (*.f64 z z) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 z z) t)
(neg.f64 (*.f64 (/.f64 (neg.f64 z) t) z))
(fabs.f64 (*.f64 (/.f64 (neg.f64 z) t) z))
(fabs.f64 (*.f64 (/.f64 z t) z))
(*.f64 (exp.f64 (log.f64 (/.f64 z t))) (exp.f64 (log.f64 (/.f64 z t))))
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 z (/.f64 (/.f64 z t) t))
(pow.f64 (exp.f64 (log.f64 (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 (/.f64 z t) z) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (*.f64 z z) (*.f64 t t))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 t t)))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t))
(neg.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)))
(neg.f64 (*.f64 (/.f64 z t) (/.f64 (neg.f64 z) t)))
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 t t)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t))
(fabs.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)))
(fabs.f64 (*.f64 (/.f64 z t) (/.f64 (neg.f64 z) t)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 z) t)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(neg.f64 x)

eval60.0ms (0.8%)

Memory
20.1MiB live, 96.7MiB allocated
Compiler

Compiled 13 606 to 1 543 computations (88.7% saved)

prune20.0ms (0.3%)

Memory
-19.9MiB live, 54.5MiB allocated
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New5223525
Fresh11213
Picked145
Done044
Total52423547
Accuracy
100.0%
Counts
547 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
99.0%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
87.6%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
92.9%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
84.9%
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
52.2%
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
13.8%
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))))))
49.7%
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
52.7%
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
80.6%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
79.2%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
71.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
79.4%
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
80.9%
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
75.9%
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
50.4%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
53.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
61.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
51.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))))
73.0%
#s(approx (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)))
Compiler

Compiled 819 to 527 computations (35.7% saved)

simplify34.0ms (0.4%)

Memory
38.7MiB live, 38.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff1
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(/.f64 x (*.f64 (neg.f64 y) y))
cost-diff0
(neg.f64 x)
cost-diff1
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff2
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
cost-diff0
(*.f64 (/.f64 z t) z)
cost-diff0
(*.f64 (*.f64 (/.f64 z t) z) y)
cost-diff0
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
cost-diff0
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
cost-diff0
(*.f64 t t)
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) (*.f64 t t))
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039249
058242
1110242
2333242
31017242
42060242
52308242
62334242
72343242
02343240
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 z t)
z
t
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
y
(*.f64 t y)
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
(neg.f64 x)
x
(/.f64 x (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 z t)
z
t
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 y t))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
y
(*.f64 t y)
(*.f64 y t)
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y))
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(neg.f64 x)
x
(/.f64 x (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t

localize79.0ms (1%)

Memory
-3.4MiB live, 118.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 t t)
accuracy0.140625
(*.f64 (/.f64 x y) x)
accuracy2.491897731553178
(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy16.839558223586547
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy0.0
(neg.f64 x)
accuracy3.6231916199042176
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
accuracy5.988458138203192
(/.f64 x (*.f64 (neg.f64 y) y))
accuracy16.839558223586547
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy0.1484375
(*.f64 (/.f64 z t) z)
accuracy4.952880330963905
(*.f64 (*.f64 (/.f64 z t) z) y)
accuracy8.466340167642972
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
accuracy28.008759329415177
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 t t)
accuracy16.839558223586547
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy24.83874013609194
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
accuracy0.0
(/.f64 x y)
accuracy0.0859375
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy0.140625
(*.f64 (/.f64 x y) x)
accuracy2.491897731553178
(/.f64 (*.f64 (/.f64 x y) x) y)
Samples
59.0ms256×0valid
Compiler

Compiled 228 to 32 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 19.0ms (48.4% of total)
ival-div: 13.0ms (33.1% of total)
ival-add: 5.0ms (12.7% of total)
ival-neg: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory
-33.6MiB live, 42.8MiB allocated
Counts
18 → 26
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 z t)
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
(*.f64 t t)
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (/.f64 z t) z)
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(neg.f64 x)
(/.f64 x (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 x y)
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (* y (pow z 2)) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(* -1 x)
(* -1 (/ x (pow y 2)))
(/ x y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (* t (pow x 2)) y)
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(/ z t)
(pow z 2)
(/ (pow z 2) t)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
Calls

12 calls:

TimeVariablePointExpression
28.0ms
x
@0
((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (* z z) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (* (/ z t) z) y) (* (/ z t) z) (* (neg x) (/ x (* (neg y) y))) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y))
3.0ms
x
@inf
((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (* z z) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (* (/ z t) z) y) (* (/ z t) z) (* (neg x) (/ x (* (neg y) y))) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y))
2.0ms
y
@-inf
((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (* z z) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (* (/ z t) z) y) (* (/ z t) z) (* (neg x) (/ x (* (neg y) y))) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y))
2.0ms
x
@-inf
((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (* z z) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (* (/ z t) z) y) (* (/ z t) z) (* (neg x) (/ x (* (neg y) y))) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y))
2.0ms
t
@-inf
((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z z) (* t t)) (* z z) (* t t) (/ (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* t y)) (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (* (* (/ z t) z) y) (* (/ z t) z) (* (neg x) (/ x (* (neg y) y))) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y))

simplify295.0ms (3.8%)

Memory
-2.0MiB live, 245.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072308
1217308
2858308
35334308
08427294
Stop Event
iter limit
node limit
Counts
26 → 26
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (* y (pow z 2)) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(* -1 x)
(* -1 (/ x (pow y 2)))
(/ x y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (* t (pow x 2)) y)
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(/ z t)
(pow z 2)
(/ (pow z 2) t)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (* y (pow z 2)) t)
(/.f64 (*.f64 (*.f64 z z) y) t)
(+ (/ (* t (pow x 2)) y) (/ (* y (pow z 2)) t))
(fma.f64 (*.f64 (/.f64 x y) x) t (/.f64 (*.f64 (*.f64 z z) y) t))
(* -1 x)
(neg.f64 x)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(/ x y)
(/.f64 x y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x))
(/ (* t (pow x 2)) y)
(*.f64 (*.f64 (/.f64 x y) x) t)
(* (pow x 2) (+ (/ t y) (/ (* y (pow z 2)) (* t (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) z) (/.f64 z t) (/.f64 t y)) (*.f64 x x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (*.f64 y (/.f64 y t)) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(/ (+ (* t (pow x 2)) (/ (* (pow y 2) (pow z 2)) t)) y)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) y) t) y (*.f64 (*.f64 x x) t)) y)
(* y (+ (/ (* t (pow x 2)) (pow y 2)) (/ (pow z 2) t)))
(*.f64 (fma.f64 (/.f64 z t) z (/.f64 (*.f64 (*.f64 (/.f64 x y) x) t) y)) y)
(* -1 (* y (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z (/.f64 (*.f64 (*.f64 (/.f64 x y) x) t) y)) y)
(/ z t)
(/.f64 z t)
(pow z 2)
(*.f64 z z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) y) (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))
(* (pow z 2) (+ (/ y t) (/ (* t (pow x 2)) (* y (pow z 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) x) (/.f64 x y) (/.f64 y t)) (*.f64 z z))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) x) t) y) t (*.f64 z z)) t) t)
(pow t 2)
(*.f64 t t)
(/ (+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y)) t)
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x y) x) t) t (*.f64 (*.f64 z z) y)) t)
(* t (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x (/.f64 (/.f64 (*.f64 (*.f64 z z) y) t) t)) t)
(* -1 (* t (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 (/.f64 x y) x (/.f64 (/.f64 (*.f64 (*.f64 z z) y) t) t)) t)

rewrite168.0ms (2.2%)

Memory
40.8MiB live, 273.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039179
058164
1197152
21607152
08448150
Stop Event
iter limit
node limit
iter limit
Counts
18 → 719
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 z t)
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
(*.f64 t t)
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
#s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y))
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (/.f64 z t) z)
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(neg.f64 x)
(/.f64 x (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 x y)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x)) (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x)))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y))))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)) (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (*.f64 (*.f64 y t) t)) (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (*.f64 (*.f64 y t) t))) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 y t) t)) (/.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 y t) t)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)) (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x)) (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y))) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z t) t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))))))
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(+.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 x (neg.f64 y)))
(fabs.f64 (/.f64 x y))

eval121.0ms (1.5%)

Memory
-14.6MiB live, 150.7MiB allocated
Compiler

Compiled 15 681 to 1 572 computations (90% saved)

prune93.0ms (1.2%)

Memory
-2.0MiB live, 123.7MiB allocated
Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New6355640
Fresh2810
Picked055
Done358
Total64023663
Accuracy
100.0%
Counts
663 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
87.6%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
92.9%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
51.8%
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
13.8%
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))))))
49.7%
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
52.7%
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
53.9%
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
78.3%
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t)))
80.6%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
71.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
79.4%
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
80.9%
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
75.9%
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
55.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
50.4%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
53.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
61.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
51.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))))
73.0%
#s(approx (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)))
Compiler

Compiled 1 309 to 484 computations (63% saved)

regimes181.0ms (2.3%)

Memory
-7.9MiB live, 152.8MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)))
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 (*.f64 (/.f64 x y) x) t)) t) y)
#s(approx (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (*.f64 (fma.f64 (/.f64 (/.f64 z x) t) (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))))
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
Calls

11 calls:

48.0ms
z
30.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
25.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
11.0ms
(*.f64 t t)
10.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
99.7%1(/.f64 (*.f64 x x) (*.f64 y y))
99.7%1(*.f64 x x)
99.7%1(*.f64 y y)
99.7%1(/.f64 (*.f64 z z) (*.f64 t t))
99.7%1(*.f64 z z)
99.7%1(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes134.0ms (1.7%)

Memory
10.0MiB live, 92.6MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
Calls

11 calls:

42.0ms
(*.f64 z z)
32.0ms
z
7.0ms
t
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
95.7%2x
95.6%2y
96.0%2(/.f64 (*.f64 x x) (*.f64 y y))
95.7%2(*.f64 x x)
95.6%2(*.f64 y y)
93.2%1z
96.5%2t
93.2%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
96.2%2(/.f64 (*.f64 z z) (*.f64 t t))
93.2%1(*.f64 z z)
96.5%2(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes46.0ms (0.6%)

Memory
-14.4MiB live, 25.0MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))
Outputs
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))))
Calls

3 calls:

33.0ms
(*.f64 t t)
7.0ms
t
5.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
96.2%2(/.f64 (*.f64 z z) (*.f64 t t))
92.9%1t
92.9%1(*.f64 t t)
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes132.0ms (1.7%)

Memory
16.0MiB live, 93.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Calls

11 calls:

45.0ms
(*.f64 z z)
7.0ms
z
7.0ms
x
7.0ms
t
6.0ms
y
Results
AccuracySegmentsBranch
91.7%3(*.f64 t t)
93.7%4t
92.1%3z
89.4%2(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
92.1%3(*.f64 z z)
93.5%3y
93.5%3(*.f64 y y)
91.5%2x
91.5%2(*.f64 x x)
93.9%2(/.f64 (*.f64 x x) (*.f64 y y))
91.9%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes59.0ms (0.8%)

Memory
-38.8MiB live, 3.9MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
93.5%2(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes48.0ms (0.6%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Calls

11 calls:

5.0ms
z
5.0ms
y
5.0ms
t
5.0ms
x
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
86.1%2(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
85.0%3(*.f64 t t)
82.8%3(*.f64 z z)
83.9%3z
85.0%3t
86.4%2x
86.4%2(*.f64 x x)
85.2%2(/.f64 (*.f64 z z) (*.f64 t t))
85.0%3(*.f64 y y)
85.3%3y
90.2%3(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes4.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
91.2%4(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
91.2%4(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes25.0ms (0.3%)

Memory
-27.4MiB live, 12.3MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 x x) t) y)) (*.f64 t y))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (/.f64 (*.f64 (*.f64 z z) y) t)) (*.f64 t y))
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 y (/.f64 z t)) z)) t) y)
(/.f64 (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 z t) z) y)) t) y)
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
(/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Calls

5 calls:

11.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
3.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
3.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
82.2%2(/.f64 (*.f64 z z) (*.f64 t t))
65.2%3(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
75.9%2x
75.9%2(*.f64 x x)
86.2%3(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 33 to 34 computations (-3% saved)

regimes23.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
Calls

10 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
t
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
63.3%2x
63.3%2(*.f64 x x)
61.1%1(*.f64 z z)
61.1%1(/.f64 (*.f64 z z) (*.f64 t t))
61.1%1z
61.1%1(*.f64 y y)
61.1%1t
61.1%1(*.f64 t t)
61.1%1y
63.6%2(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 30 to 50 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

5 calls:

2.0ms
t
2.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
2.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
61.1%1t
61.1%1x
61.1%1(*.f64 x x)
61.1%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
61.1%1(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes50.0ms (0.6%)

Memory
-19.3MiB live, 20.6MiB allocated
Accuracy

Total -3.0b remaining (-10.2%)

Threshold costs -3b (-10.2%)

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

11 calls:

37.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
1.0ms
z
1.0ms
t
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
53.3%1x
53.3%1y
53.3%1(*.f64 x x)
53.3%1(*.f64 y y)
53.3%1z
53.3%1(/.f64 (*.f64 x x) (*.f64 y y))
53.3%1(*.f64 z z)
53.3%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
53.3%1(/.f64 (*.f64 z z) (*.f64 t t))
53.3%1(*.f64 t t)
53.3%1t
Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.13e-322
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.1718760657037306e+255
4.860433015561356e+267
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.563887574226428e-154
9.798812565278554e-131
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
3.1663728739594762e+255
1.992920805307534e+264
0.0ms
1.563887574226428e-154
9.798812565278554e-131
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
3.1663728739594762e+255
1.992920805307534e+264
0.0ms
1.563887574226428e-154
9.798812565278554e-131
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.405024337875758e+220
1.6650922723147816e+223
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch16.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.7613074511396293e+271
1.5796616645834546e+298
Samples
8.0ms176×0valid
Compiler

Compiled 546 to 381 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.4% of total)
ival-div: 1.0ms (24.7% of total)
ival-add: 1.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify112.0ms (1.4%)

Memory
-35.9MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092711
1148710
2361701
31043701
42108701
52447701
62615701
72777701
82881701
92933701
102952701
112956701
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (*.f64 t t) #s(literal 0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (*.f64 t t) #s(literal 0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (*.f64 t t) #s(literal 0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (/.f64 x (*.f64 y y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 x (/.f64 x (*.f64 y y)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (/.f64 z (*.f64 t t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (/ z t) z) y) (* t (* (/ x y) x))) (*.f64 (*.f64 (/.f64 x y) x) t)) (*.f64 t y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))

soundness2.0s (26%)

Memory
16.0MiB live, 1 001.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044200
067170
1227170
22003170
09804168
039179
058164
1197152
21607152
08448150
02998
16598
225798
3226098
0829393
072308
1217308
2858308
35334308
08427294
035172
057140
1194140
21666140
09851140
01138
01838
17630
275830
0905930
070306
1210306
2843306
35307306
08418292
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 837 to 771 computations (58% saved)

preprocess66.0ms (0.8%)

Memory
8.3MiB live, 124.7MiB allocated
Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 1 566 to 274 computations (82.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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