Data.Colour.CIE:cieLAB from colour-2.3.3, D

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (32.4%)

Memory
0.8MiB live, 837.5MiB allocated
Samples
558.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-div: 245.0ms (82.7% of total)
ival-sub: 37.0ms (12.5% of total)
ival-true: 6.0ms (2% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain56.0ms (1.8%)

Memory
25.0MiB live, 114.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-#s(literal 200 binary64)
00-0-(-.f64 x (/.f64 y #s(literal 200 binary64)))
00-0-(/.f64 y #s(literal 200 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
20.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (53.8% of total)
ival-sub: 2.0ms (26.9% of total)
ival-true: 1.0ms (13.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (0.8%)

Memory
-16.7MiB live, 58.7MiB allocated
Algorithm
1×egg-herbie
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13027
27425
315225
425025
529325
629925
055
075
195
2195
3275
4395
5585
6945
71265
81825
92135
102465
112475
02474
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify13.0ms (0.4%)

Memory
-14.1MiB live, 25.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 x (/.f64 y #s(literal 200 binary64)))
cost-diff384
(/.f64 y #s(literal 200 binary64))
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
1911
21911
32711
43911
55811
69411
712611
818211
921311
1024611
1124711
024710
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
x
(/.f64 y #s(literal 200 binary64))
y
#s(literal 200 binary64)
Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(/.f64 y #s(literal 200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 200 binary64)

localize15.0ms (0.5%)

Memory
7.0MiB live, 44.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 200 binary64))
accuracy0.00390625
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (55.9% of total)
ival-sub: 1.0ms (28% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((/ y 200) (- x (/ y 200)))
1.0ms
y
@-inf
((/ y 200) (- x (/ y 200)))
0.0ms
x
@-inf
((/ y 200) (- x (/ y 200)))
0.0ms
y
@0
((/ y 200) (- x (/ y 200)))
0.0ms
x
@0
((/ y 200) (- x (/ y 200)))

simplify181.0ms (5.6%)

Memory
32.7MiB live, 179.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 160×lower-fma.f64
3 160×lower-fma.f32
2 584×lower-*.f64
2 584×lower-*.f32
2 384×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41249138
52477138
63282138
73618138
83914138
94095138
105236138
116032138
126800138
137068138
147848138
08384120
Stop Event
1×iter limit
1×node limit
Counts
36 → 33
Calls
Call 1
Inputs
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
Outputs
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)

rewrite179.0ms (5.6%)

Memory
14.7MiB live, 201.1MiB allocated
Rules
3 368×lower-fma.f64
3 368×lower-fma.f32
3 224×lower-*.f64
3 224×lower-*.f32
2 912×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1328
22488
340678
081647
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 130
Calls
Call 1
Inputs
(/.f64 y #s(literal 200 binary64))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -200 binary64) y))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/200 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/40000 binary64) (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/40000 binary64) (pow.f64 (*.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 (*.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y)) (-.f64 (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (*.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))

eval55.0ms (1.7%)

Memory
-45.7MiB live, 101.9MiB allocated
Compiler

Compiled 2 670 to 399 computations (85.1% saved)

prune5.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1594163
Fresh000
Picked011
Done000
Total1595164
Accuracy
100.0%
Counts
164 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 y #s(literal -1/200 binary64) x)
✓100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶99.8%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
▶99.9%
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶49.3%
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Compiler

Compiled 25 to 26 computations (-4% saved)

simplify15.0ms (0.5%)

Memory
-10.4MiB live, 28.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal -1/200 binary64) x)
cost-diff0
(/.f64 #s(literal 200 binary64) y)
cost-diff128
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
cost-diff0
(*.f64 y #s(literal 1/200 binary64))
cost-diff128
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
cost-diff0
(*.f64 #s(literal -1/200 binary64) y)
cost-diff0
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Rules
144×lower-fma.f32
142×lower-fma.f64
96×lower-*.f32
92×lower-*.f64
64×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651
02448
13945
25945
38144
410544
513144
618144
721744
826644
930944
1036944
1137644
037644
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal -1/200 binary64)
y
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
x
(*.f64 y #s(literal 1/200 binary64))
y
#s(literal 1/200 binary64)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
#s(literal 1 binary64)
(/.f64 #s(literal 200 binary64) y)
#s(literal 200 binary64)
y
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x
Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal -1/200 binary64)
y
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(*.f64 y #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 1/200 binary64)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(*.f64 #s(literal 1/200 binary64) y)
#s(literal 1 binary64)
(/.f64 #s(literal 200 binary64) y)
#s(literal 200 binary64)
y
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 #s(literal -1/200 binary64) y x)
y
#s(literal -1/200 binary64)
x

localize69.0ms (2.1%)

Memory
-4.8MiB live, 75.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 y #s(literal -1/200 binary64) x)
accuracy0
(/.f64 #s(literal 200 binary64) y)
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
accuracy0.4819829959125335
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
accuracy0.00390625
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
accuracy0.12890625
(*.f64 y #s(literal 1/200 binary64))
accuracy0.12890625
(*.f64 #s(literal -1/200 binary64) y)
accuracy32.371914833546356
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Samples
60.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 32.0ms (66.6% of total)
const: 6.0ms (12.5% of total)
ival-mult: 5.0ms (10.4% of total)
ival-sub: 3.0ms (6.2% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
8 → 144
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/200 binary64) y) (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/200 binary64) y) (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/200 binary64) y) (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/200 binary64) y) (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/200 binary64) y) (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y #s(literal 1/200 binary64))) (patch (-.f64 x (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- x (/ y 200)) (* -1/200 y) (- x (* y 1/200)) (* y 1/200) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (+ (* y -1/200) x))
1.0ms
y
@0
((- x (/ y 200)) (* -1/200 y) (- x (* y 1/200)) (* y 1/200) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (+ (* y -1/200) x))
1.0ms
y
@inf
((- x (/ y 200)) (* -1/200 y) (- x (* y 1/200)) (* y 1/200) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (+ (* y -1/200) x))
0.0ms
x
@-inf
((- x (/ y 200)) (* -1/200 y) (- x (* y 1/200)) (* y 1/200) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (+ (* y -1/200) x))
0.0ms
x
@inf
((- x (/ y 200)) (* -1/200 y) (- x (* y 1/200)) (* y 1/200) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (+ (* y -1/200) x))

simplify157.0ms (4.9%)

Memory
1.2MiB live, 114.7MiB allocated
Algorithm
1×egg-herbie
Rules
2 712×lower-fma.f64
2 712×lower-fma.f32
2 648×lower-*.f64
2 648×lower-*.f32
2 536×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027552
170552
2172552
3458552
41239552
52450552
63269552
73627552
83933552
94123552
105333552
116181552
126973552
137249552
08037480
Stop Event
1×iter limit
1×node limit
Counts
144 → 132
Calls
Call 1
Inputs
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
Outputs
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)

rewrite175.0ms (5.4%)

Memory
2.6MiB live, 158.6MiB allocated
Rules
5 294×lower-fma.f32
5 292×lower-fma.f64
2 836×lower-*.f32
2 832×lower-*.f64
1 802×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01639
02436
19232
257432
3655732
0883632
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 694
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
(/.f64 #s(literal 200 binary64) y)
(fma.f64 y #s(literal -1/200 binary64) x)
Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
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(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/200 binary64) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64) x)
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (/.f64 #s(literal -1/200 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (/.f64 #s(literal -1/200 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/40000 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/40000 binary64) (/.f64 (*.f64 y y) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64))) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 (neg.f64 y) #s(literal -1/200 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal -1/200 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) (/.f64 (*.f64 #s(literal 1/200 binary64) y) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) (/.f64 (*.f64 #s(literal 1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/200 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/200 binary64) y))
(fma.f64 #s(literal 1/200 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/200 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1/200 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal -1/200 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/200 binary64)) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 #s(literal -1/200 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/200 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1/200 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 y (/.f64 (*.f64 #s(literal 1/40000 binary64) y) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/40000 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(fma.f64 y #s(literal 1/200 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal 1/200 binary64) x)
(fma.f64 y #s(literal -1/200 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(+.f64 (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) y) x)))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (*.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(+.f64 (*.f64 #s(literal 1/200 binary64) y) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/200 binary64) y))

eval108.0ms (3.4%)

Memory
-2.7MiB live, 203.6MiB allocated
Compiler

Compiled 13 247 to 696 computations (94.7% saved)

prune25.0ms (0.8%)

Memory
-8.2MiB live, 65.7MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New8233826
Fresh000
Picked134
Done101
Total8256831
Accuracy
100.0%
Counts
831 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 y #s(literal -1/200 binary64) x)
✓99.9%
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶49.4%
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶49.2%
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
▶2.2%
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓49.3%
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify17.0ms (0.5%)

Memory
-13.1MiB live, 24.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
cost-diff384
(/.f64 y #s(literal -200 binary64))
cost-diff0
(/.f64 #s(literal -200 binary64) y)
cost-diff0
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
cost-diff0
(*.f64 y #s(literal 1/200 binary64))
cost-diff0
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
Rules
144×lower-fma.f64
144×lower-fma.f32
96×lower-*.f32
94×lower-*.f64
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01550
01946
12746
23646
34446
45746
57446
610846
713946
819746
922946
1026946
1128746
1230546
1332246
1435846
1536246
036243
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))
y
#s(literal 1/200 binary64)
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
#s(literal 1 binary64)
(/.f64 #s(literal -200 binary64) y)
#s(literal -200 binary64)
y
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(/.f64 y #s(literal -200 binary64))
y
#s(literal -200 binary64)
Outputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 1/200 binary64)
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal 1 binary64)
(/.f64 #s(literal -200 binary64) y)
#s(literal -200 binary64)
y
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 y #s(literal -200 binary64))
(*.f64 #s(literal -1/200 binary64) y)
y
#s(literal -200 binary64)

localize35.0ms (1.1%)

Memory
14.7MiB live, 58.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal -200 binary64))
accuracy32.371914833546356
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
accuracy0
(/.f64 #s(literal -200 binary64) y)
accuracy0.4819829959125335
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
accuracy32.371914833546356
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
accuracy0.12890625
(*.f64 y #s(literal 1/200 binary64))
accuracy62.58624900516259
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (55.8% of total)
const: 3.0ms (20.9% of total)
ival-mult: 2.0ms (14% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
7 → 120
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/200 binary64)) (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -200 binary64) y) (patch (/.f64 #s(literal -200 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal -200 binary64)) (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) (patch #s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
((- x (/ y 200)) (* y 1/200) (/ 1 (/ -200 y)) (- x (/ y 200)) (/ -200 y) (/ y -200) (- x (/ y 200)))
1.0ms
y
@-inf
((- x (/ y 200)) (* y 1/200) (/ 1 (/ -200 y)) (- x (/ y 200)) (/ -200 y) (/ y -200) (- x (/ y 200)))
1.0ms
y
@inf
((- x (/ y 200)) (* y 1/200) (/ 1 (/ -200 y)) (- x (/ y 200)) (/ -200 y) (/ y -200) (- x (/ y 200)))
0.0ms
x
@-inf
((- x (/ y 200)) (* y 1/200) (/ 1 (/ -200 y)) (- x (/ y 200)) (/ -200 y) (/ y -200) (- x (/ y 200)))
0.0ms
x
@inf
((- x (/ y 200)) (* y 1/200) (/ 1 (/ -200 y)) (- x (/ y 200)) (/ -200 y) (/ y -200) (- x (/ y 200)))

simplify173.0ms (5.4%)

Memory
5.1MiB live, 162.3MiB allocated
Algorithm
1×egg-herbie
Rules
2 712×lower-fma.f64
2 712×lower-fma.f32
2 648×lower-*.f64
2 648×lower-*.f32
2 536×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027450
170450
2172450
3458450
41239450
52450450
63269450
73627450
83933450
94123450
105333450
116181450
126973450
137249450
08037396
Stop Event
1×iter limit
1×node limit
Counts
120 → 111
Calls
Call 1
Inputs
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(/ -200 y)
(/ -200 y)
(/ -200 y)
(/ -200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(/ -200 y)
(/ -200 y)
(/ -200 y)
(/ -200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(/ -200 y)
(/ -200 y)
(/ -200 y)
(/ -200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
Outputs
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(/ -200 y)
(/.f64 #s(literal -200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)

rewrite135.0ms (4.2%)

Memory
5.2MiB live, 116.8MiB allocated
Rules
2 756×lower-fma.f64
2 756×lower-fma.f32
2 666×lower-*.f32
2 664×lower-*.f64
2 174×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
01939
16239
234239
3459139
0873236
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 235
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
(/.f64 #s(literal -200 binary64) y)
(/.f64 y #s(literal -200 binary64))
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) y)
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1/200 binary64))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))) (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -200 binary64) y)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -200 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -200 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 200 binary64))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 y #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) y)
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1/200 binary64))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))) (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -200 binary64) y)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -200 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -200 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 200 binary64))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/40000 binary64) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 y #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal -200 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (exp.f64 (log.f64 #s(literal 200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 200 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) (sqrt.f64 (/.f64 #s(literal -200 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -200 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 200 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (exp.f64 (log.f64 #s(literal -200 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -200 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 200 binary64))
(*.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(*.f64 #s(literal -200 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -200 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -200 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(*.f64 #s(literal 200 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 200 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 200 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 200 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -200 binary64) y)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 (exp.f64 (log.f64 #s(literal -200 binary64))) y)
(/.f64 (exp.f64 (log.f64 #s(literal 200 binary64))) (exp.f64 (log.f64 (neg.f64 y))))
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(neg.f64 (/.f64 #s(literal -200 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -200 binary64) y))
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(/.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 y #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

eval56.0ms (1.8%)

Memory
-28.5MiB live, 91.0MiB allocated
Compiler

Compiled 2 348 to 363 computations (84.5% saved)

prune14.0ms (0.4%)

Memory
34.3MiB live, 34.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3460346
Fresh000
Picked033
Done033
Total3466352
Accuracy
100.0%
Counts
352 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 y #s(literal -1/200 binary64) x)
✓99.9%
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓49.4%
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓49.2%
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
✓2.2%
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓49.3%
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Compiler

Compiled 66 to 54 computations (18.2% saved)

regimes40.0ms (1.2%)

Memory
-19.2MiB live, 19.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
#s(approx (- x (/ y 200)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Calls

4 calls:

30.0ms
(/.f64 y #s(literal 200 binary64))
3.0ms
y
3.0ms
(-.f64 x (/.f64 y #s(literal 200 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (/.f64 y #s(literal 200 binary64)))
100.0%1(/.f64 y #s(literal 200 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes10.0ms (0.3%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
Outputs
(fma.f64 y #s(literal -1/200 binary64) x)
Calls

4 calls:

3.0ms
(/.f64 y #s(literal 200 binary64))
2.0ms
(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (/.f64 y #s(literal 200 binary64)))
99.9%1(/.f64 y #s(literal 200 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes32.0ms (1%)

Memory
-57.4MiB live, 13.8MiB allocated
Accuracy

Total -30.6b remaining (-94.4%)

Threshold costs -30.6b (-94.4%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Calls

4 calls:

27.0ms
y
2.0ms
(/.f64 y #s(literal 200 binary64))
2.0ms
x
2.0ms
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Results
AccuracySegmentsBranch
49.3%1x
49.3%1y
49.3%1(-.f64 x (/.f64 y #s(literal 200 binary64)))
49.3%1(/.f64 y #s(literal 200 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify22.0ms (0.7%)

Memory
33.0MiB live, 33.0MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative-binary64-*.f64
8×+-commutative-binary64-+.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
6×neg-sub0-binary64--.f64-neg.f64
6×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11418
22318
32918
43418
53618
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

soundness498.0ms (15.5%)

Memory
-28.2MiB live, 204.4MiB allocated
Rules
3 368×lower-fma.f64
3 368×lower-fma.f32
3 224×lower-*.f64
3 224×lower-*.f32
3 160×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1328
22488
340678
081647
025138
168138
2170138
3455138
41249138
52477138
63282138
73618138
83914138
94095138
105236138
116032138
126800138
137068138
147848138
08384120
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 25 to 20 computations (20% saved)

preprocess45.0ms (1.4%)

Memory
8.1MiB live, 92.5MiB allocated
Compiler

Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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