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

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample1.2s (23.7%)

Memory
10.9MiB live, 1 515.3MiB allocated
Samples
679.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 421.0ms
ival-div: 146.0ms (34.7% of total)
ival-mult: 130.0ms (30.9% of total)
ival-add: 84.0ms (20% of total)
ival-sub: 42.0ms (10% of total)
exact: 11.0ms (2.6% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain126.0ms (2.4%)

Memory
-1.1MiB live, 358.4MiB 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 115 to 43 computations (62.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 9.0ms (42.5% of total)
ival-mult: 7.0ms (33.1% of total)
ival-sub: 2.0ms (9.5% 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)

preprocess132.0ms (2.5%)

Memory
-21.9MiB live, 99.9MiB 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)

Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB 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)

simplify28.0ms (0.5%)

Memory
23.0MiB live, 62.4MiB 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

localize98.0ms (1.9%)

Memory
-46.9MiB live, 61.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy0
(*.f64 y z)
accuracy0.00390625
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
accuracy0.00390625
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Samples
88.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-add: 60.0ms (77.4% of total)
ival-mult: 13.0ms (16.8% of total)
ival-div: 3.0ms (3.9% of total)
ival-sub: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (*.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- t (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/8 (/ x z)) (* 1/2 y))) (taylor inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/8 (/ x z)) (* 1/2 y))) (taylor inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/8 (/ x z)) (* 1/2 y))) (taylor inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
Calls

36 calls:

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

simplify182.0ms (3.5%)

Memory
-15.9MiB live, 294.1MiB 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
087958
1241958
2633958
31919958
45140958
08110855
Stop Event
iter limit
node limit
Counts
144 → 142
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)
(* 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
(* 1/2 (* 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)
(* 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)

rewrite293.0ms (5.6%)

Memory
32.4MiB live, 509.0MiB allocated
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
01332
02032
16532
250332
3646932
0800429
Stop Event
iter limit
node limit
iter limit
Counts
6 → 280
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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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))
(-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (fma.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 x (*.f64 x #s(literal 1/64 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.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 x (*.f64 x #s(literal 1/64 binary64))))) t))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 #s(literal 1/4 binary64) (*.f64 y z)))) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))) 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)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))

eval102.0ms (1.9%)

Memory
-15.9MiB live, 104.4MiB allocated
Compiler

Compiled 11 938 to 857 computations (92.8% saved)

prune57.0ms (1.1%)

Memory
-16.7MiB live, 141.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4166422
Fresh000
Picked101
Done000
Total4176423
Accuracy
100.0%
Counts
423 → 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))
69.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))
67.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
63.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
37.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
33.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 128 to 88 computations (31.3% saved)

simplify32.0ms (0.6%)

Memory
27.1MiB live, 65.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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
704×lower-fma.f32
698×lower-fma.f64
320×lower-*.f32
314×lower-*.f64
160×cancel-sign-sub-inv
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025124
032124
155120
289120
3141120
4222116
5374116
6538116
7715116
8847116
9849116
0849116
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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 z (*.f64 #s(literal -1/2 binary64) y)))
(*.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)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(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

localize76.0ms (1.5%)

Memory
-7.8MiB live, 149.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
accuracy0
(*.f64 z #s(literal -1/2 binary64))
accuracy20.58537642364902
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
accuracy0
(*.f64 z #s(literal -1/2 binary64))
accuracy0
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
accuracy39.92394324048944
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
accuracy0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy23.63366423141382
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy42.72939171783001
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy0
(*.f64 z #s(literal -1/2 binary64))
Samples
51.0ms256×0valid
Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 27.0ms (73.5% of total)
ival-add: 4.0ms (10.9% of total)
ival-div: 3.0ms (8.2% of total)
ival-sub: 1.0ms (2.7% of total)
exact: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
7.5MiB live, 43.8MiB allocated
Counts
10 → 348
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/8 binary64) x t) (patch (fma.f64 #s(literal 1/8 binary64) x t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (patch (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())
Outputs
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* -1/2 y) (/ t z))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())) ())
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#s(alt (* t (+ 1 (* -1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* -1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())) ())
Calls

87 calls:

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

simplify184.0ms (3.5%)

Memory
11.7MiB live, 322.0MiB allocated
Algorithm
egg-herbie
Rules
7 262×lower-fma.f64
7 262×lower-fma.f32
2 778×lower-*.f64
2 778×lower-*.f32
1 470×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252762
13892762
210332762
327532762
456892762
578922762
080792337
Stop Event
iter limit
node limit
Counts
348 → 331
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)))
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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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(fma.f64 #s(literal 1/8 binary64) x (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) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
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(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(fma.f64 #s(literal 1/8 binary64) x (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) (+ (* 1/8 (/ x y)) (/ t y))))
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(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (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 (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (* -1/2 (* y z)))
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(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
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(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
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(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
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(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
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(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
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(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
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(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
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(*.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 #s(literal -1/2 binary64) (*.f64 y z) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (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 (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (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 (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (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 (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (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 (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (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))
(* 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)
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(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)

rewrite278.0ms (5.3%)

Memory
-11.3MiB live, 472.0MiB allocated
Rules
7 138×lower-fma.f32
7 132×lower-fma.f64
4 404×lower-/.f64
4 404×lower-/.f32
4 402×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02596
03296
112488
298088
0860488
Stop Event
iter limit
node limit
iter limit
Counts
10 → 314
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)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(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 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)) t)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (fma.f64 z (*.f64 y #s(literal 1/2 binary64)) (neg.f64 t))))
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 #s(literal 1/8 binary64) x t))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) (neg.f64 (*.f64 t t)))) (neg.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64))) (+.f64 t (*.f64 z (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 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) (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 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 t (*.f64 t t))))) (neg.f64 (neg.f64 (fma.f64 t (+.f64 t (*.f64 z (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) (neg.f64 (*.f64 t t))))) (neg.f64 (neg.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))))
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 t (*.f64 z (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)) (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 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)) (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 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)) (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)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t (*.f64 z (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) t))))))
(*.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) (neg.f64 (*.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 #s(literal 1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (+.f64 t (*.f64 z (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) (neg.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))))
(*.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 z (*.f64 y #s(literal 1/2 binary64))))))

eval115.0ms (2.2%)

Memory
-3.1MiB live, 151.7MiB allocated
Compiler

Compiled 13 766 to 871 computations (93.7% saved)

prune180.0ms (3.4%)

Memory
22.1MiB live, 182.5MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7271728
Fresh101
Picked055
Done000
Total7286734
Accuracy
100.0%
Counts
734 → 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))
69.4%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
67.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
63.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
37.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
33.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify8.0ms (0.1%)

Memory
-27.1MiB live, 10.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
#s(approx (+ (* 1/8 x) t) (*.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 #s(approx (+ (* 1/8 x) t) (*.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
01234
01634
12334
23034
33234
03232
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
#s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
#s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

localize67.0ms (1.3%)

Memory
-14.0MiB live, 54.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
accuracy0
(*.f64 z #s(literal -1/2 binary64))
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy30.237381172323815
#s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))
Samples
24.0ms256×0valid
Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 13.0ms (84.5% of total)
ival-add: 2.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (patch (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt t (taylor 0 x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 t) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/8 binary64) x) (patch (*.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())) ())
Calls

24 calls:

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

simplify201.0ms (3.8%)

Memory
7.6MiB live, 226.8MiB allocated
Algorithm
egg-herbie
Rules
6 698×lower-fma.f64
6 698×lower-fma.f32
3 076×lower-*.f64
3 076×lower-*.f32
1 692×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078624
1232624
2627624
31651624
43982624
57143624
08024530
Stop Event
iter limit
node limit
Counts
96 → 91
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)
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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (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) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (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 (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (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) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (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 (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (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)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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)

rewrite371.0ms (7.1%)

Memory
40.9MiB live, 349.8MiB allocated
Rules
7 294×lower-fma.f32
7 292×lower-fma.f64
5 062×lower-*.f32
5 058×lower-*.f64
2 776×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
01629
14829
232529
3328929
0821727
Stop Event
iter limit
node limit
iter limit
Counts
4 → 141
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 z #s(literal -1/2 binary64))
#s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
Outputs
(+.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 z (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(approx (+ (* 1/8 x) t) (*.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)))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (/.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))))
(-.f64 (/.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (+.f64 #s(approx (+ (* 1/8 x) t) (*.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)))) (+.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal 1 binary64)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
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(*.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(approx (+ (* 1/8 x) t) (*.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)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))))) (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (fma.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) 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(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))))))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(exp.f64 (log.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x))
(pow.f64 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
(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)))

eval179.0ms (3.4%)

Memory
-157.2MiB live, 74.6MiB allocated
Compiler

Compiled 8 720 to 422 computations (95.2% saved)

prune51.0ms (1%)

Memory
-18.2MiB live, 60.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2320232
Fresh000
Picked011
Done055
Total2326238
Accuracy
100.0%
Counts
238 → 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))
69.4%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
67.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
63.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
37.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
33.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 130 to 67 computations (48.5% saved)

regimes70.0ms (1.3%)

Memory
2.1MiB live, 40.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 #s(approx (+ (* 1/8 x) t) (*.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:

44.0ms
y
3.0ms
t
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
3.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
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)

regimes48.0ms (0.9%)

Memory
7.4MiB live, 54.5MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 #s(approx (+ (* 1/8 x) t) (*.f64 #s(literal 1/8 binary64) x)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))
Calls

9 calls:

25.0ms
t
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
x
3.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
3.0ms
z
Results
AccuracySegmentsBranch
85.8%3x
85.8%4y
87.0%4z
92.1%5t
81.8%5(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
85.2%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
85.8%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
92.2%4(/.f64 (*.f64 y z) #s(literal 2 binary64))
92.2%4(*.f64 y z)
Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes6.0ms (0.1%)

Memory
-22.9MiB live, 15.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
Calls

2 calls:

2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
89.0%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
89.0%3(*.f64 y z)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.3%)

Memory
8.9MiB live, 47.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))
Calls

7 calls:

2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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
x
Results
AccuracySegmentsBranch
76.3%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
79.5%3z
67.5%3x
67.5%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
66.3%3t
84.4%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
84.4%3(*.f64 y z)
Compiler

Compiled 55 to 44 computations (20% saved)

regimes16.0ms (0.3%)

Memory
13.5MiB live, 52.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Calls

9 calls:

3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
63.1%1t
63.1%1x
63.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
63.1%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
63.1%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
63.1%1z
63.1%1y
63.1%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
63.1%1(*.f64 y z)
Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes14.0ms (0.3%)

Memory
-2.3MiB live, 37.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Calls

9 calls:

3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
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
z
1.0ms
t
Results
AccuracySegmentsBranch
33.2%1z
33.2%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
33.2%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
33.2%1x
33.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
33.2%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
33.2%1(*.f64 y z)
33.2%1y
33.2%1t
Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3364646634631835e+140
5.09448087838414e+152
0.0ms
2.5601361400710973e-11
332011.9614706618
0.0ms
-9.102966792860759e+62
-3.396605621827771e+56
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5601361400710973e-11
332011.9614706618
0.0ms
-9.102966792860759e+62
-3.396605621827771e+56
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.68262727843874e+153
3.0750910161797633e+154
0.0ms
-2.689756073232906e+131
-3.2143608557430047e+130
Compiler

Compiled 20 to 20 computations (0% saved)

simplify10.0ms (0.2%)

Memory
-16.6MiB live, 21.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045258
152258
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 -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 y z) #s(literal 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (*.f64 y z) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (*.f64 y z) #s(literal -199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 y z) #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 y z) #s(literal 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 z y) #s(literal 500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) 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 -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (*.f64 y z) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (*.f64 z y) #s(literal -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (*.f64 z y) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (*.f64 y z) #s(literal -199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 y z) #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(if (<=.f64 (*.f64 z y) #s(literal -199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y)) (if (<=.f64 (*.f64 z y) #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness835.0ms (15.9%)

Memory
10.1MiB live, 408.2MiB 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
01332
02032
16532
250332
3646932
0800429
087958
1241958
2633958
31919958
45140958
08110855
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 238 to 108 computations (54.6% saved)

preprocess190.0ms (3.6%)

Memory
22.4MiB live, 98.7MiB allocated
Remove

(sort y z)

Compiler

Compiled 350 to 128 computations (63.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...