Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Time bar (total: 6.0s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 15 computations (0% saved)

sample1.4s (23.9%)

Memory
-100.1MiB live, 1 313.8MiB allocated
Samples
1.0s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 495.0ms
ival-div: 239.0ms (48.3% of total)
ival-mult: 111.0ms (22.4% of total)
ival-sub: 87.0ms (17.6% of total)
ival-add: 38.0ms (7.7% of total)
exact: 11.0ms (2.2% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess147.0ms (2.5%)

Memory
-1.2MiB live, 117.7MiB allocated
Algorithm
egg-herbie
Rules
704×lower-fma.f64
704×lower-fma.f32
664×sub-neg
350×unsub-neg
342×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058164
1164155
2405154
31042154
42188154
52948154
63153154
73176154
83183154
93183154
103185154
113191154
01311
02011
13111
25711
310811
418911
531511
648611
766611
879811
980011
08009
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t))
Symmetry

(sort y z)

explain188.0ms (3.2%)

Memory
-5.7MiB live, 277.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 y z) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
00-0-(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
00-0-(*.f64 y z)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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
41.0ms512×0valid
Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (38% of total)
ival-div: 7.0ms (33.2% of total)
ival-sub: 3.0ms (14.2% of total)
ival-add: 2.0ms (9.5% of total)
exact: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify37.0ms (0.6%)

Memory
23.0MiB live, 61.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
cost-diff128
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
cost-diff384
(/.f64 (*.f64 y z) #s(literal 2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
Rules
704×lower-fma.f64
704×lower-fma.f32
320×lower-*.f32
316×lower-*.f64
160×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02039
13139
25739
310839
418939
531539
648639
766639
879839
980039
080036
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 z (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 #s(literal 1/8 binary64) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 z (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

localize35.0ms (0.6%)

Memory
5.0MiB live, 82.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
accuracy100.0%
(/.f64 (*.f64 y z) #s(literal 2 binary64))
accuracy100.0%
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Samples
22.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.8% of total)
ival-mult: 4.0ms (36.8% of total)
ival-sub: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-18.7MiB live, 21.3MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))>
#<alt (/.f64 (*.f64 y z) #s(literal 2 binary64))>
#<alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))>
#<alt (*.f64 y z)>
Outputs
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
Calls

33 calls:

TimeVariablePointExpression
5.0ms
z
@0
(/ (* y z) 2)
1.0ms
x
@inf
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
1.0ms
y
@0
(/ (* y z) 2)
1.0ms
y
@inf
(/ (* y z) 2)
1.0ms
z
@inf
(/ (* y z) 2)

rewrite358.0ms (6%)

Memory
-11.4MiB live, 709.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 930×lower-fma.f64
8 930×lower-fma.f32
4 482×lower-*.f32
4 478×lower-*.f64
2 730×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
02029
16529
250329
3646929
0800426
Stop Event
iter limit
node limit
iter limit
Counts
5 → 275
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
Outputs
#s(literal 1/8 binary64)
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(neg.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 1/2 binary64))))
(*.f64 y (*.f64 z #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (*.f64 y #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 z (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y z) #s(literal 1/2 binary64))
(*.f64 (*.f64 y (*.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 y (neg.f64 z)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) z)
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) t)
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(+.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (*.f64 #s(literal 1/8 binary64) x))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (neg.f64 t)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 t))
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 z (*.f64 #s(literal 1/4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))))) (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z)))
(neg.f64 (*.f64 y (neg.f64 z)))
(*.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y (*.f64 z #s(literal 1 binary64)))
(*.f64 z y)
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (*.f64 #s(literal 1 binary64) y) z)
(*.f64 (*.f64 #s(literal 1 binary64) z) y)

simplify344.0ms (5.8%)

Memory
24.3MiB live, 466.9MiB allocated
Algorithm
egg-herbie
Rules
10 994×lower-fma.f64
10 994×lower-fma.f32
2 884×lower-*.f64
2 884×lower-*.f32
1 240×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087922
1241922
2633922
31919922
45140922
08110819
Stop Event
iter limit
node limit
Counts
132 → 130
Calls
Call 1
Inputs
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
Outputs
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(* 1/2 (* y z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

eval52.0ms (0.9%)

Memory
-20.8MiB live, 131.7MiB allocated
Compiler

Compiled 11 603 to 844 computations (92.7% saved)

prune49.0ms (0.8%)

Memory
26.8MiB live, 146.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3996405
Fresh000
Picked101
Done000
Total4006406
Accuracy
100.0%
Counts
406 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
67.2%
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
67.0%
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
67.1%
(fma.f64 #s(literal 1/8 binary64) x t)
34.5%
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
35.1%
(*.f64 #s(literal 1/8 binary64) x)
Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify8.0ms (0.1%)

Memory
-21.1MiB live, 17.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
Rules
48×lower-fma.f32
42×lower-fma.f64
28×lower-*.f32
24×lower-+.f64
24×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
01958
13258
24358
04358
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(*.f64 z (*.f64 #s(literal -1/2 binary64) y))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t

localize44.0ms (0.7%)

Memory
5.3MiB live, 124.1MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
accuracy100.0%
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy100.0%
(*.f64 #s(literal 1/8 binary64) x)
accuracy100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
accuracy100.0%
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 65 to 15 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (57.1% of total)
ival-add: 3.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))>
#<alt (*.f64 z #s(literal -1/2 binary64))>
#<alt (fma.f64 #s(literal 1/8 binary64) x t)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 y (*.f64 z #s(literal -1/2 binary64)))>
#<alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)>
Outputs
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))>
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))>
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt t>
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))>
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))>
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt t>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt t>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt t>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+ (* y (* z -1/2)) t)
0.0ms
x
@inf
(* 1/8 x)
0.0ms
z
@-inf
(* z -1/2)
0.0ms
x
@-inf
(* 1/8 x)
0.0ms
z
@inf
(* z -1/2)

rewrite631.0ms (10.6%)

Memory
15.8MiB live, 769.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 496×lower-fma.f32
12 490×lower-fma.f64
5 530×lower-*.f32
5 524×lower-*.f64
3 122×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
01930
17230
251830
3740630
0866230
Stop Event
iter limit
node limit
iter limit
Counts
6 → 287
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 z #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
Outputs
(+.f64 t (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 z (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)) t)
(+.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 #s(literal 1/8 binary64) x t))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 #s(literal 1/8 binary64) x t)))))
(-.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (-.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (*.f64 #s(literal 1/8 binary64) x)))
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(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)) (-.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)) (*.f64 z (*.f64 #s(literal -1/2 binary64) y))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))) (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))
(/.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t))) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)))) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t)))))
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))))) (neg.f64 (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (fma.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (*.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) (*.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))) (fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))))
(/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))
(/.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) (fma.f64 (*.f64 t (*.f64 t t)) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))))
(*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))
(*.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))
(*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))))
(*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))
(*.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))
(*.f64 (neg.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))) (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)))
(*.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(*.f64 (/.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) (fma.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t)))) (fma.f64 t (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))))

simplify235.0ms (3.9%)

Memory
-6.9MiB live, 393.1MiB allocated
Algorithm
egg-herbie
Rules
6 462×lower-fma.f64
6 462×lower-fma.f32
2 736×lower-*.f64
2 736×lower-*.f32
2 114×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096962
1300962
2848962
32172962
45361962
57439962
08200841
Stop Event
iter limit
node limit
Counts
156 → 147
Calls
Call 1
Inputs
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
t
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
t
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1/2 (* y z))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Outputs
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
t
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
t
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
t
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)

eval71.0ms (1.2%)

Memory
7.2MiB live, 152.3MiB allocated
Compiler

Compiled 14 741 to 783 computations (94.7% saved)

prune68.0ms (1.1%)

Memory
-17.4MiB live, 129.1MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New5461547
Fresh101
Picked055
Done000
Total5476553
Accuracy
100.0%
Counts
553 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
67.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
67.0%
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
67.1%
(fma.f64 #s(literal 1/8 binary64) x t)
34.5%
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
35.1%
(*.f64 #s(literal 1/8 binary64) x)
Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify8.0ms (0.1%)

Memory
-28.3MiB live, 10.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
Rules
28×lower-*.f32
24×lower-*.f64
16×lower-fma.f32
14×lower-fma.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01219
11819
22519
32719
02719
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 z (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

localize142.0ms (2.4%)

Memory
4.0MiB live, 41.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
accuracy100.0%
(*.f64 z #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/8 binary64) x)
Samples
14.0ms256×0valid
Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (78% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))>
#<alt (*.f64 z #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
Outputs
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+ (* (* z -1/2) y) (* 1/8 x))
0.0ms
z
@inf
(+ (* (* z -1/2) y) (* 1/8 x))
0.0ms
z
@0
(+ (* (* z -1/2) y) (* 1/8 x))
0.0ms
x
@inf
(+ (* (* z -1/2) y) (* 1/8 x))
0.0ms
z
@-inf
(+ (* (* z -1/2) y) (* 1/8 x))

rewrite630.0ms (10.6%)

Memory
19.8MiB live, 655.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
14 462×lower-fma.f32
14 460×lower-fma.f64
5 120×lower-*.f32
5 116×lower-*.f64
3 620×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
01214
13114
220914
3217414
0833014
Stop Event
iter limit
node limit
iter limit
Counts
3 → 184
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
Outputs
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/8 binary64))))) (/.f64 (fma.f64 z (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 (*.f64 x x) #s(literal -1/64 binary64))) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))) (/.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 z (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 (*.f64 x x) #s(literal -1/64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 #s(literal 1/134217728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal -1/512 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(exp.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/8 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (exp.f64 (log.f64 x)))

simplify349.0ms (5.9%)

Memory
-8.4MiB live, 344.7MiB allocated
Algorithm
egg-herbie
Rules
5 966×lower-fma.f64
5 966×lower-fma.f32
3 628×lower-*.f64
3 628×lower-*.f32
1 926×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040352
1119352
2327352
3759352
41495352
53111352
65780352
08138325
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
Outputs
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)

eval30.0ms (0.5%)

Memory
12.9MiB live, 50.4MiB allocated
Compiler

Compiled 10 987 to 547 computations (95% saved)

prune32.0ms (0.5%)

Memory
24.6MiB live, 61.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2440244
Fresh000
Picked011
Done055
Total2446250
Accuracy
100.0%
Counts
250 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
67.2%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
67.0%
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
67.1%
(fma.f64 #s(literal 1/8 binary64) x t)
34.5%
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
35.1%
(*.f64 #s(literal 1/8 binary64) x)
Compiler

Compiled 119 to 67 computations (43.7% saved)

regimes34.0ms (0.6%)

Memory
-13.6MiB live, 60.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
Calls

9 calls:

6.0ms
(*.f64 y z)
5.0ms
z
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
t
3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
100.0%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
100.0%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
100.0%1(*.f64 y z)
Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes32.0ms (0.5%)

Memory
-5.7MiB live, 50.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
Outputs
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
Calls

9 calls:

10.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
3.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
3.0ms
z
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
86.4%3y
89.0%3z
85.8%3t
84.1%6(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
87.9%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
88.9%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
91.8%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
91.8%3(*.f64 y z)
Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
Outputs
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
Calls

2 calls:

2.0ms
(*.f64 y z)
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
89.7%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
89.7%3(*.f64 y z)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.2%)

Memory
-17.9MiB live, 20.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
Outputs
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
Calls

5 calls:

3.0ms
(*.f64 y z)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
67.1%1x
67.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
80.3%3z
87.9%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
87.9%3(*.f64 y z)
Compiler

Compiled 35 to 28 computations (20% saved)

regimes14.0ms (0.2%)

Memory
-13.2MiB live, 25.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) x t)
Outputs
(fma.f64 #s(literal 1/8 binary64) x t)
Calls

7 calls:

3.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
z
2.0ms
t
2.0ms
y
Results
AccuracySegmentsBranch
67.1%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
67.1%1z
67.1%1t
67.1%1y
67.1%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
67.1%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
67.1%1(*.f64 y z)
Compiler

Compiled 63 to 49 computations (22.2% saved)

regimes12.0ms (0.2%)

Memory
32.3MiB live, 32.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) x)
Outputs
(*.f64 #s(literal 1/8 binary64) x)
Calls

9 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
35.1%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
35.1%1(*.f64 y z)
35.1%1y
35.1%1x
35.1%1t
35.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
35.1%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
35.1%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
35.1%1z
Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.895381884581564e+45
2.665865724486389e+50
0.0ms
-1.2594154408177222e+130
-5.175999427238907e+124
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.519616433174649e-19
8.050244303255247e-18
0.0ms
-1.5202263011258939e+155
-7.5702841173371244e+143
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0491142259501202e+126
2.026036694923341e+129
0.0ms
-1.5202263011258939e+155
-7.5702841173371244e+143
Compiler

Compiled 20 to 20 computations (0% saved)

simplify9.0ms (0.1%)

Memory
-23.8MiB live, 14.5MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030101
134101
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1999999999999999849735523237985764085089341739669676922878451944450588399951586053206326987525635307503060116827311064565678080 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 #s(literal 1/8 binary64) x)
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))))
(if (<=.f64 (*.f64 z y) #s(literal -10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (*.f64 z y) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (*.f64 z y) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (if (<=.f64 (*.f64 z y) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1999999999999999849735523237985764085089341739669676922878451944450588399951586053206326987525635307503060116827311064565678080 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(if (<=.f64 (*.f64 z y) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (if (<=.f64 (*.f64 z y) #s(literal 1999999999999999849735523237985764085089341739669676922878451944450588399951586053206326987525635307503060116827311064565678080 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 #s(literal 1/8 binary64) x)

soundness836.0ms (14%)

Memory
5.7MiB live, 398.6MiB allocated
Rules
10 994×lower-fma.f64
10 994×lower-fma.f32
8 930×lower-fma.f64
8 930×lower-fma.f32
4 482×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
02029
16529
250329
3646929
0800426
087922
1241922
2633922
31919922
45140922
08110819
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 188 to 94 computations (50% saved)

preprocess97.0ms (1.6%)

Memory
-6.1MiB live, 119.5MiB allocated
Remove

(sort y z)

Compiler

Compiled 300 to 126 computations (58% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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