Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

Time bar (total: 4.5s)

analyze194.0ms (4.3%)

Memory
-8.9MiB live, 295.4MiB 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
25%25%74.9%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
56.3%56.1%43.7%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample966.0ms (21.3%)

Memory
-45.4MiB live, 1 550.2MiB allocated
Samples
710.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-div: 192.0ms (53.7% of total)
ival-mult: 157.0ms (43.9% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess337.0ms (7.4%)

Memory
7.7MiB live, 321.0MiB allocated
Algorithm
egg-herbie
Rules
5 272×/-lowering-/.f32
5 272×/-lowering-/.f64
4 940×*-lowering-*.f32
4 940×*-lowering-*.f64
2 378×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051139
116183
247579
3174279
4435979
5717779
6767579
7779179
8787879
9792079
089
1167
2395
3835
43125
510165
625255
728405
830235
930975
1031485
1132025
1258935
1360295
1464545
1569395
1676045
081005
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* x (/ (* (/ y z) t) t))
Outputs
(* x (/ (* (/ y z) t) t))
(/.f64 (*.f64 x y) z)
Call 2
Inputs
(* x (/ (* (/ y z) t) t))
(* (neg x) (/ (* (/ y z) t) t))
(* x (/ (* (/ (neg y) z) t) t))
(* x (/ (* (/ y (neg z)) t) t))
(* x (/ (* (/ y z) (neg t)) (neg t)))
(neg (* (neg x) (/ (* (/ y z) t) t)))
(neg (* x (/ (* (/ (neg y) z) t) t)))
(neg (* x (/ (* (/ y (neg z)) t) t)))
(neg (* x (/ (* (/ y z) (neg t)) (neg t))))
(* y (/ (* (/ x z) t) t))
(* z (/ (* (/ y x) t) t))
(* t (/ (* (/ y z) x) x))
(* x (/ (* (/ z y) t) t))
(* x (/ (* (/ t z) y) y))
(* x (/ (* (/ y t) z) z))
Outputs
(* x (/ (* (/ y z) t) t))
(* y (/ x z))
(* (neg x) (/ (* (/ y z) t) t))
(* y (/ x (neg z)))
(* x (/ (* (/ (neg y) z) t) t))
(* y (/ x (neg z)))
(* x (/ (* (/ y (neg z)) t) t))
(* y (/ x (neg z)))
(* x (/ (* (/ y z) (neg t)) (neg t)))
(* y (/ x z))
(neg (* (neg x) (/ (* (/ y z) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ (neg y) z) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ y (neg z)) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ y z) (neg t)) (neg t))))
(* y (/ x (neg z)))
(* y (/ (* (/ x z) t) t))
(* y (/ x z))
(* z (/ (* (/ y x) t) t))
(* z (/ y x))
(* t (/ (* (/ y z) x) x))
(/ (* y t) z)
(* x (/ (* (/ z y) t) t))
(* x (/ z y))
(* x (/ (* (/ t z) y) y))
(* x (/ t z))
(* x (/ (* (/ y t) z) z))
(* x (/ y t))
Symmetry

(abs t)

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain76.0ms (1.7%)

Memory
14.2MiB live, 171.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-3(1.917950561409505e-168 1.4356852424070754e+35 6.139069094916942e+81 1.1081906618854057e-268)(/.f64 (*.f64 (/.f64 y z) t) t)
240-0-(*.f64 (/.f64 y z) t)
220-0-(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
00-0-y
00-0-t
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (/.f64 y z) t) t)o/n260
(*.f64 (/.f64 y z) t)overflow64
(/.f64 y z)overflow61
*.f64(*.f64 (/.f64 y z) t)n*o230
*.f64(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))n*o220
/.f64(/.f64 (*.f64 (/.f64 y z) t) t)u/n110
(*.f64 (/.f64 y z) t)underflow12
(/.f64 y z)underflow2
*.f64(*.f64 (/.f64 y z) t)n*u10
Confusion
Predicted +Predicted -
+513
-21181
Precision
0.7083333333333334
Recall
0.9444444444444444
Confusion?
Predicted +Predicted MaybePredicted -
+5103
-210181
Precision?
0.7083333333333334
Recall?
0.9444444444444444
Freqs
test
numberfreq
0184
161
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 9.0ms (60.3% of total)
ival-mult: 6.0ms (40.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify261.0ms (5.8%)

Memory
8.1MiB live, 249.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) t)
cost-diff0
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
cost-diff1024
(/.f64 (*.f64 (/.f64 y z) t) t)
Rules
5 272×/-lowering-/.f32
5 272×/-lowering-/.f64
4 940×*-lowering-*.f32
4 940×*-lowering-*.f64
2 378×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0832
11626
23920
38320
431220
5101620
6252520
7284020
8302320
9309720
10314820
11320220
12589320
13602920
14645420
15693920
16760420
0810020
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ (* (/ y z) t) t))
x
(/ (* (/ y z) t) t)
(* (/ y z) t)
(/ y z)
y
z
t
Outputs
(* x (/ (* (/ y z) t) t))
(/.f64 (*.f64 x y) z)
x
(/ (* (/ y z) t) t)
(/.f64 y z)
(* (/ y z) t)
(/.f64 (*.f64 y t) z)
(/ y z)
(/.f64 y z)
y
z
t

localize26.0ms (0.6%)

Memory
-25.3MiB live, 56.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y z)
accuracy91.7%
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
accuracy90.9%
(*.f64 (/.f64 y z) t)
accuracy86.3%
(/.f64 (*.f64 (/.f64 y z) t) t)
Samples
16.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.3% of total)
ival-mult: 4.0ms (51.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (* (/ y z) t) t)>
#<alt (* x (/ (* (/ y z) t) t))>
#<alt (* (/ y z) t)>
#<alt (/ y z)>
Outputs
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* x (/ (* (/ y z) t) t))
1.0ms
y
@inf
(/ (* (/ y z) t) t)
1.0ms
z
@inf
(/ (* (/ y z) t) t)
0.0ms
y
@0
(* (/ y z) t)
0.0ms
z
@0
(* (/ y z) t)

rewrite169.0ms (3.7%)

Memory
-1.9MiB live, 344.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 246×*-lowering-*.f32
2 246×*-lowering-*.f64
2 096×/-lowering-/.f32
2 096×/-lowering-/.f64
654×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
13116
218616
3145516
0586416
Stop Event
iter limit
iter limit
node limit
Counts
4 → 400
Calls
Call 1
Inputs
(/ (* (/ y z) t) t)
(* x (/ (* (/ y z) t) t))
(* (/ y z) t)
(/ y z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) y)) (/.f64 y (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 t)) y)) (/.f64 y (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 t))) (/.f64 y (neg.f64 z)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z))
(neg.f64 (/.f64 y (neg.f64 z)))
(/.f64 y z)
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 t (/.f64 (*.f64 z t) y))
(/.f64 (/.f64 (*.f64 y t) z) t)
(/.f64 (/.f64 (*.f64 t (neg.f64 y)) z) (neg.f64 t))
(/.f64 (neg.f64 t) (/.f64 (*.f64 z (neg.f64 t)) y))
(/.f64 (neg.f64 t) (*.f64 (/.f64 (*.f64 z t) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z (*.f64 y t)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y t) (*.f64 z t))
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 t (neg.f64 y)) (*.f64 z (neg.f64 t)))
(/.f64 (*.f64 t (neg.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 t))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z (*.f64 t (neg.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (/.f64 t z) (/.f64 t y))
(/.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 t t) (*.f64 t (/.f64 (*.f64 z t) y)))
(/.f64 (*.f64 t (neg.f64 t)) (neg.f64 (*.f64 t (/.f64 (*.f64 z t) y))))
(/.f64 (*.f64 t (neg.f64 t)) (*.f64 (/.f64 (*.f64 z (neg.f64 t)) y) t))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y t) z) (*.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y t) z)))) (*.f64 (neg.f64 t) (*.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y t) z))))
(/.f64 (neg.f64 (*.f64 t (*.f64 t t))) (*.f64 (/.f64 (*.f64 z (neg.f64 t)) y) (*.f64 t t)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (neg.f64 z) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y t) z))) (*.f64 t (/.f64 (*.f64 t (neg.f64 y)) z)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 t (/.f64 (*.f64 y t) z)) (*.f64 t t))
(/.f64 (*.f64 t (/.f64 (*.f64 t (neg.f64 y)) z)) (*.f64 t (neg.f64 t)))
(/.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (*.f64 t (*.f64 y t)) (*.f64 t (*.f64 z t)))
(/.f64 (*.f64 t (*.f64 t (neg.f64 y))) (*.f64 t (*.f64 z (neg.f64 t))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (/.f64 (*.f64 y t) z))) (*.f64 t (neg.f64 t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 t (neg.f64 y))) (*.f64 z t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 t)) y)) (*.f64 t (neg.f64 t))) (*.f64 (neg.f64 t) (/.f64 (*.f64 z (neg.f64 t)) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 t (/.f64 (*.f64 t (neg.f64 y)) z))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) y)) (*.f64 t t)) (neg.f64 (*.f64 t (/.f64 (*.f64 z t) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 t)) y)) (*.f64 z (neg.f64 t))) (*.f64 (neg.f64 z) (/.f64 (*.f64 z (neg.f64 t)) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (/.f64 (*.f64 y t) z))) (*.f64 z t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 (*.f64 t (neg.f64 y)) z))) (*.f64 z (neg.f64 t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 t))) (*.f64 (neg.f64 z) (*.f64 y t))) (*.f64 (neg.f64 z) (*.f64 z (neg.f64 t))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z t)) (*.f64 (neg.f64 z) (*.f64 t (neg.f64 y)))) (*.f64 (neg.f64 z) (*.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) t) (/.f64 (*.f64 z (neg.f64 t)) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z t)) (*.f64 t (*.f64 y t))) (*.f64 t (*.f64 z (neg.f64 t))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (neg.f64 t)) (/.f64 (*.f64 z t) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 t))) (*.f64 t (*.f64 t (neg.f64 y)))) (*.f64 t (*.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) y)) (*.f64 z t)) (*.f64 (neg.f64 z) (/.f64 (*.f64 z t) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) z) (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 z (neg.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (neg.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)) (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)))) (/.f64 y (neg.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64)) (/.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) y)) (/.f64 y (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 t)) y)) (/.f64 y (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 t))) (/.f64 y (neg.f64 z)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z))
(neg.f64 (/.f64 y (neg.f64 z)))
(/.f64 y z)
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 t (/.f64 (*.f64 z t) y))
(/.f64 (/.f64 (*.f64 y t) z) t)
(/.f64 (/.f64 (*.f64 t (neg.f64 y)) z) (neg.f64 t))
(/.f64 (neg.f64 t) (/.f64 (*.f64 z (neg.f64 t)) y))
(/.f64 (neg.f64 t) (*.f64 (/.f64 (*.f64 z t) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z (*.f64 y t)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y t) (*.f64 z t))
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 t (neg.f64 y)) (*.f64 z (neg.f64 t)))
(/.f64 (*.f64 t (neg.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 t))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z (*.f64 t (neg.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (/.f64 t z) (/.f64 t y))
(/.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 t t) (*.f64 t (/.f64 (*.f64 z t) y)))
(/.f64 (*.f64 t (neg.f64 t)) (neg.f64 (*.f64 t (/.f64 (*.f64 z t) y))))
(/.f64 (*.f64 t (neg.f64 t)) (*.f64 (/.f64 (*.f64 z (neg.f64 t)) y) t))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y t) z) (*.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y t) z)))) (*.f64 (neg.f64 t) (*.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y t) z))))
(/.f64 (neg.f64 (*.f64 t (*.f64 t t))) (*.f64 (/.f64 (*.f64 z (neg.f64 t)) y) (*.f64 t t)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (neg.f64 z) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y t) z))) (*.f64 t (/.f64 (*.f64 t (neg.f64 y)) z)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 t (/.f64 (*.f64 y t) z)) (*.f64 t t))
(/.f64 (*.f64 t (/.f64 (*.f64 t (neg.f64 y)) z)) (*.f64 t (neg.f64 t)))
(/.f64 (/.f64 y t) (/.f64 z t))
(/.f64 (*.f64 t (*.f64 y t)) (*.f64 t (*.f64 z t)))
(/.f64 (*.f64 t (*.f64 t (neg.f64 y))) (*.f64 t (*.f64 z (neg.f64 t))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (/.f64 (*.f64 y t) z))) (*.f64 t (neg.f64 t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 t (neg.f64 y))) (*.f64 z t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 t)) y)) (*.f64 t (neg.f64 t))) (*.f64 (neg.f64 t) (/.f64 (*.f64 z (neg.f64 t)) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 t (/.f64 (*.f64 t (neg.f64 y)) z))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) y)) (*.f64 t t)) (neg.f64 (*.f64 t (/.f64 (*.f64 z t) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (neg.f64 t)) y)) (*.f64 z (neg.f64 t))) (*.f64 (neg.f64 z) (/.f64 (*.f64 z (neg.f64 t)) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (/.f64 (*.f64 y t) z))) (*.f64 z t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 (*.f64 t (neg.f64 y)) z))) (*.f64 z (neg.f64 t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 t))) (*.f64 (neg.f64 z) (*.f64 y t))) (*.f64 (neg.f64 z) (*.f64 z (neg.f64 t))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z t)) (*.f64 (neg.f64 z) (*.f64 t (neg.f64 y)))) (*.f64 (neg.f64 z) (*.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) t) (/.f64 (*.f64 z (neg.f64 t)) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z t)) (*.f64 t (*.f64 y t))) (*.f64 t (*.f64 z (neg.f64 t))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (neg.f64 t)) (/.f64 (*.f64 z t) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 t))) (*.f64 t (*.f64 t (neg.f64 y)))) (*.f64 t (*.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) y)) (*.f64 z t)) (*.f64 (neg.f64 z) (/.f64 (*.f64 z t) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) z) (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 z (neg.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (neg.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)) (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)))) (/.f64 y (neg.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 z y))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 y (/.f64 t (*.f64 z t)))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 t (/.f64 y (*.f64 z t)))
(*.f64 (/.f64 (*.f64 y t) z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (*.f64 t (neg.f64 y)) z) (/.f64 #s(literal -1 binary64) t))
(*.f64 (neg.f64 t) (neg.f64 (/.f64 y (*.f64 z t))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 t (*.f64 z (neg.f64 t))))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 y t) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 y t) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z)))
(*.f64 (*.f64 t (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 z t)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 t (neg.f64 y)) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64))
(*.f64 (/.f64 t z) (/.f64 y t))
(*.f64 (/.f64 y (*.f64 z t)) t)
(*.f64 (neg.f64 (/.f64 y (*.f64 z t))) (neg.f64 t))
(*.f64 (/.f64 t (*.f64 z t)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z t)) (*.f64 y t))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z t)) (*.f64 t (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y t) (/.f64 t z))
(*.f64 (/.f64 t (*.f64 z (neg.f64 t))) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (neg.f64 (/.f64 y (*.f64 z t))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z t)))

simplify15.0ms (0.3%)

Memory
19.4MiB live, 58.5MiB allocated
Algorithm
egg-herbie
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
12×*-commutative
10×/-lowering-/.f32
10×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09600
113600
219600
321600
021600
Stop Event
iter limit
saturated
Counts
144 → 144
Calls
Call 1
Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
Outputs
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)

eval61.0ms (1.3%)

Memory
-17.7MiB live, 147.7MiB allocated
Compiler

Compiled 6 368 to 1 112 computations (82.5% saved)

prune138.0ms (3%)

Memory
18.9MiB live, 173.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5386544
Fresh000
Picked101
Done000
Total5396545
Accuracy
100.0%
Counts
545 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(/.f64 (*.f64 y x) z)
92.9%
(/.f64 x (/.f64 z y))
67.5%
(*.f64 (/.f64 y (*.f64 z t)) (*.f64 t x))
91.7%
(*.f64 (/.f64 y z) x)
92.5%
(*.f64 (/.f64 x z) y)
91.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
Compiler

Compiled 120 to 80 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 z y)
cost-diff384
(/.f64 x (/.f64 z y))
Rules
52×*-lowering-*.f32
52×*-lowering-*.f64
20×associate-*l*
18×*-commutative
18×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
12759
23759
36259
46459
56859
06859
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (/ z y))
x
(/ z y)
z
y
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ (* y x) z)
(* y x)
y
x
z
(* x (* (/ 1 z) y))
x
(* (/ 1 z) y)
(/ 1 z)
1
z
y
Outputs
(/ x (/ z y))
(*.f64 x (/.f64 y z))
x
(/ z y)
(/.f64 z y)
z
y
(* (/ x z) y)
(*.f64 x (/.f64 y z))
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(*.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
y
z
x
(/ (* y x) z)
(*.f64 x (/.f64 y z))
(* y x)
(*.f64 x y)
y
x
z
(* x (* (/ 1 z) y))
(*.f64 x (/.f64 y z))
x
(* (/ 1 z) y)
(/.f64 y z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
y

localize74.0ms (1.6%)

Memory
-23.0MiB live, 90.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy91.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
accuracy100.0%
(*.f64 y x)
accuracy92.5%
(/.f64 (*.f64 y x) z)
accuracy100.0%
(/.f64 y z)
accuracy91.7%
(*.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x z)
accuracy92.5%
(*.f64 (/.f64 x z) y)
accuracy100.0%
(/.f64 z y)
accuracy92.9%
(/.f64 x (/.f64 z y))
Samples
49.0ms256×0valid
Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 10.0ms (58.9% of total)
ival-mult: 7.0ms (41.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
25.7MiB live, 25.7MiB allocated
Counts
11 → 312
Calls
Call 1
Inputs
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ (* y x) z)>
#<alt (* y x)>
#<alt (* (/ 1 z) y)>
#<alt (* x (* (/ 1 z) y))>
#<alt (/ 1 z)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(/ z y)
0.0ms
y
@0
(/ z y)
0.0ms
z
@0
(/ z y)
0.0ms
z
@0
(/ x z)
0.0ms
z
@-inf
(/ x z)

rewrite265.0ms (5.8%)

Memory
-30.1MiB live, 410.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 080×*-lowering-*.f32
2 080×*-lowering-*.f64
1 356×log-div
1 206×/-lowering-/.f32
1 206×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
15343
222243
3102843
4479443
0874743
Stop Event
iter limit
node limit
Counts
11 → 1 095
Calls
Call 1
Inputs
(/ x (/ z y))
(/ z y)
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ (* y x) z)
(* y x)
(* (/ 1 z) y)
(* x (* (/ 1 z) y))
(/ 1 z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 y z) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (*.f64 x y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(fma.f64 #s(literal 0 binary64) (/.f64 x z) (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 x z) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(neg.f64 (/.f64 (*.f64 x y) z))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (neg.f64 x) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 z x) (*.f64 y y)))
(/.f64 (*.f64 y y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 z (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 z y) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (/.f64 z y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 z (/.f64 z y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 z y)) (*.f64 z (/.f64 z x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 z (/.f64 y z))) (/.f64 z x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (*.f64 x y) z))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) z) (*.f64 z (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) x)) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (/.f64 z y) y)) (*.f64 (/.f64 z y) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (/.f64 x z))) (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 z y) (/.f64 y z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (/.f64 (*.f64 x y) z))) (/.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 x y))) (*.f64 (/.f64 z y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (neg.f64 x))) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x z))) (/.f64 z y))
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(/.f64 (*.f64 (/.f64 y z) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 y z) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 x z)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y y) (/.f64 x z)) y)
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 y z)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 y z)) x)
(/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) z)) (*.f64 x y))
(/.f64 (/.f64 x (pow.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))))
(/.f64 (/.f64 x (pow.f64 (/.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(/.f64 (/.f64 (neg.f64 x) (pow.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64))))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)) #s(literal 1/2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) y))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 z y))
(*.f64 (/.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 z y))
(*.f64 (/.f64 (*.f64 x y) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 x y) (*.f64 z z)) z)
(*.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (neg.f64 (log.f64 z)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) z)
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 z))) (pow.f64 z #s(literal 1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 z))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 (*.f64 z (*.f64 z z)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z))

simplify30.0ms (0.7%)

Memory
34.6MiB live, 113.4MiB allocated
Algorithm
egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101296
1141296
2161296
3171296
0171296
Stop Event
iter limit
saturated
Counts
312 → 312
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
Outputs
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ x z)
(/.f64 x z)
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(/.f64 x z)
(/ x z)
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(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ y z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ y z)
(/.f64 y z)
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(/.f64 y z)
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(/.f64 y z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
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(/ 1 z)
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(/ 1 z)
(/.f64 #s(literal 1 binary64) z)

eval213.0ms (4.7%)

Memory
-12.7MiB live, 388.9MiB allocated
Compiler

Compiled 14 568 to 1 343 computations (90.8% saved)

prune119.0ms (2.6%)

Memory
-12.6MiB live, 220.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 40611 407
Fresh101
Picked055
Done000
Total1 40761 413
Accuracy
100.0%
Counts
1 413 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(/.f64 (*.f64 y x) z)
92.4%
(/.f64 y (/.f64 z x))
92.9%
(/.f64 x (/.f64 z y))
91.7%
(*.f64 (/.f64 y z) x)
92.5%
(*.f64 (/.f64 x z) y)
91.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
Compiler

Compiled 56 to 38 computations (32.1% saved)

simplify4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff384
(/.f64 y (/.f64 z x))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1711
21011
31411
41511
01511
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ y (/ z x))
y
(/ z x)
z
x
Outputs
(/ y (/ z x))
(/.f64 (*.f64 y x) z)
y
(/ z x)
(/.f64 z x)
z
x

localize15.0ms (0.3%)

Memory
26.2MiB live, 26.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z x)
accuracy92.4%
(/.f64 y (/.f64 z x))
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 4.0ms (107.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-34.4MiB live, 3.7MiB allocated
Counts
2 → 60
Calls
Call 1
Inputs
#<alt (/ y (/ z x))>
#<alt (/ z x)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
Calls

15 calls:

TimeVariablePointExpression
7.0ms
z
@inf
(/ z x)
0.0ms
z
@-inf
(/ z x)
0.0ms
z
@0
(/ z x)
0.0ms
x
@0
(/ z x)
0.0ms
x
@-inf
(/ z x)

rewrite193.0ms (4.3%)

Memory
18.7MiB live, 286.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 536×*-lowering-*.f32
1 536×*-lowering-*.f64
1 290×frac-times
1 214×log-div
1 138×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1228
21188
36678
449628
086598
Stop Event
iter limit
node limit
Counts
2 → 231
Calls
Call 1
Inputs
(/ y (/ z x))
(/ z x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 (/.f64 y z) #s(literal 0 binary64)) (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 (*.f64 y x) z))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 y x) z))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) (/.f64 (*.f64 z z) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 #s(literal -1 binary64) (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (/.f64 x z))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 z x)) (neg.f64 (sqrt.f64 (/.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(*.f64 (*.f64 z (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(*.f64 (/.f64 z (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 z (*.f64 x x)) x)

simplify8.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
/-lowering-/.f32
/-lowering-/.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
212252
313252
013252
Stop Event
iter limit
saturated
Counts
60 → 60
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
Outputs
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)

eval77.0ms (1.7%)

Memory
-25.4MiB live, 76.4MiB allocated
Compiler

Compiled 3 006 to 560 computations (81.4% saved)

prune48.0ms (1.1%)

Memory
8.7MiB live, 86.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2910291
Fresh000
Picked011
Done055
Total2916297
Accuracy
100.0%
Counts
297 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(/.f64 (*.f64 y x) z)
92.4%
(/.f64 y (/.f64 z x))
92.9%
(/.f64 x (/.f64 z y))
91.7%
(*.f64 (/.f64 y z) x)
92.5%
(*.f64 (/.f64 x z) y)
91.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
Compiler

Compiled 110 to 63 computations (42.7% saved)

regimes117.0ms (2.6%)

Memory
-4.3MiB live, 35.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 y x) z)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 y (*.f64 z t)) (*.f64 t x))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Outputs
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
Calls

7 calls:

99.0ms
(/.f64 (*.f64 (/.f64 y z) t) t)
3.0ms
y
3.0ms
t
3.0ms
x
3.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
97.6%2x
97.5%3y
99.8%2z
94.7%2t
99.8%2(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
99.8%2(/.f64 (*.f64 (/.f64 y z) t) t)
99.8%2(/.f64 y z)
Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes105.0ms (2.3%)

Memory
-23.3MiB live, 19.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
Outputs
(*.f64 (/.f64 x z) y)
Calls

7 calls:

97.0ms
x
1.0ms
y
1.0ms
(/.f64 y z)
1.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
92.5%1t
92.5%1y
92.5%1x
92.5%1z
92.5%1(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
92.5%1(/.f64 (*.f64 (/.f64 y z) t) t)
92.5%1(/.f64 y z)
Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.15768413915608e+219
1.6820361438520781e+226
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify7.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11221
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 y z) #s(literal 1999999999999999930168777770965038835185710261252187684342087190381666372798103074634393633413599250594442956032371041455348337279889700577699244710948244690953092785150999379963096696036126558244456821968375010450997248 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 (/.f64 y z) #s(literal 1999999999999999930168777770965038835185710261252187684342087190381666372798103074634393633413599250594442956032371041455348337279889700577699244710948244690953092785150999379963096696036126558244456821968375010450997248 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 y z) #s(literal 1999999999999999930168777770965038835185710261252187684342087190381666372798103074634393633413599250594442956032371041455348337279889700577699244710948244690953092785150999379963096696036126558244456821968375010450997248 binary64)) (*.f64 (/.f64 y z) x) (*.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness319.0ms (7%)

Memory
-8.7MiB live, 105.5MiB allocated
Rules
2 246×*-lowering-*.f32
2 246×*-lowering-*.f64
2 096×/-lowering-/.f32
2 096×/-lowering-/.f64
654×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
13116
218616
3145516
0586416
Stop Event
done
iter limit
iter limit
node limit
Compiler

Compiled 52 to 29 computations (44.2% saved)

preprocess663.0ms (14.6%)

Memory
22.7MiB live, 846.4MiB allocated
Remove

(abs t)

Compiler

Compiled 934 to 482 computations (48.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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