Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, G

Time bar (total: 11.7s)

analyze238.0ms (2%)

Memory
-3.7MiB live, 395.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.7%6.2%87.4%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
20.7%18.7%71.8%0.1%0%9.4%0%9
34.5%29.6%56.2%0.1%0%14%0%10
34.5%29.6%56.2%0.1%0%14%0%11
50.5%42.1%41.3%0.1%0%16.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.0s (16.9%)

Memory
71.4MiB live, 2 154.5MiB allocated
Samples
789.0ms2 288×1valid
628.0ms5 968×0valid
163.0ms936×0invalid
2.0ms21×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 534.0ms (41.7% of total)
ival-div: 321.0ms (25.1% of total)
ival-add: 173.0ms (13.5% of total)
ival-exp: 118.0ms (9.2% of total)
ival-mult: 81.0ms (6.3% of total)
adjust: 42.0ms (3.3% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess228.0ms (1.9%)

Memory
-24.4MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Rules
1 782×div-sub
850×sub-neg
614×times-frac
612×distribute-rgt-in
612×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051130
1106104
2224102
3480102
41083102
52262100
63232100
74472100
85310100
96024100
106426100
116651100
126930100
137226100
147480100
157805100
167903100
177905100
187905100
197905100
207973100
01013
11511
21811
31811
01811
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

explain274.0ms (2.3%)

Memory
15.8MiB live, 343.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15750(-1.5963811360418702e-55 -2.066116688630861e+204 -1.1022772921233902e-140)2(3.3489406930707692e+255 2.2157097354361195e-296 6.754482453544035e+22)(log.f64 (/.f64 y (+.f64 z y)))
530-3(3.4653055817103713e-190 2.354442030270617e+186 1.0211989225589995e-131)(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
00-0-(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
00-0-z
00-0-(/.f64 y (+.f64 z y))
00-0-(+.f64 z y)
01(2.8075898176380196e+119 5.485704867963556e+192 131.28619165257024)0-(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
00-0-(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 y (+.f64 z y)))sensitivity1890
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue130
(log.f64 (/.f64 y (+.f64 z y)))underflow50
(/.f64 y (+.f64 z y))underflow16
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u90
exp.f64(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))sensitivity10
Confusion
Predicted +Predicted -
+451
-15753
Precision
0.22277227722772278
Recall
0.9782608695652174
Confusion?
Predicted +Predicted MaybePredicted -
+4501
-157053
Precision?
0.22277227722772278
Recall?
0.9782608695652174
Freqs
test
numberfreq
054
1192
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms292×1valid
32.0ms54×2valid
15.0ms166×0valid
Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-log: 54.0ms (46.1% of total)
ival-div: 21.0ms (17.9% of total)
ival-add: 17.0ms (14.5% of total)
adjust: 10.0ms (8.5% of total)
ival-exp: 9.0ms (7.7% of total)
ival-mult: 6.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify6.0ms (0%)

Memory
-28.8MiB live, 9.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
cost-diff0
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
cost-diff6656
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Rules
+-lowering-+.f64
+-lowering-+.f32
exp-lowering-exp.f32
exp-lowering-exp.f64
pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
11552
21852
31852
01852
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
x
(/ (exp (* y (log (/ y (+ z y))))) y)
(exp (* y (log (/ y (+ z y)))))
(* y (log (/ y (+ z y))))
y
(log (/ y (+ z y)))
(/ y (+ z y))
(+ z y)
z
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(/ (exp (* y (log (/ y (+ z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(exp (* y (log (/ y (+ z y)))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(* y (log (/ y (+ z y))))
(*.f64 y (log.f64 (/.f64 y (+.f64 y z))))
y
(log (/ y (+ z y)))
(log.f64 (/.f64 y (+.f64 y z)))
(/ y (+ z y))
(/.f64 y (+.f64 y z))
(+ z y)
(+.f64 y z)
z

localize81.0ms (0.7%)

Memory
40.9MiB live, 158.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy100.0%
(/.f64 y (+.f64 z y))
accuracy81.1%
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy45.4%
(log.f64 (/.f64 y (+.f64 z y)))
Samples
43.0ms146×1valid
15.0ms27×2valid
10.0ms83×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-log: 27.0ms (50.8% of total)
ival-div: 7.0ms (13.2% of total)
ival-exp: 7.0ms (13.2% of total)
ival-add: 5.0ms (9.4% of total)
adjust: 4.0ms (7.5% of total)
ival-mult: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.5%)

Memory
1.0MiB live, 40.0MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (exp (* y (log (/ y (+ z y)))))>
#<alt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))>
#<alt (/ (exp (* y (log (/ y (+ z y))))) y)>
#<alt (* y (log (/ y (+ z y))))>
#<alt (log (/ y (+ z y)))>
#<alt (/ y (+ z y))>
Outputs
#<alt 1>
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))>
#<alt (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ z y)) 1))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (* y (+ (log (* -1 y)) (log (/ -1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))>
#<alt (+ (log (* -1 y)) (log (/ -1 z)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))>
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))>
Calls

39 calls:

TimeVariablePointExpression
33.0ms
y
@0
(exp (* y (log (/ y (+ z y)))))
8.0ms
x
@0
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
2.0ms
y
@inf
(exp (* y (log (/ y (+ z y)))))
2.0ms
y
@inf
(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms
y
@-inf
(exp (* y (log (/ y (+ z y)))))

rewrite319.0ms (2.7%)

Memory
-30.1MiB live, 484.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 390×*-lowering-*.f32
3 390×*-lowering-*.f64
3 144×accelerator-lowering-fma.f32
3 144×accelerator-lowering-fma.f64
2 802×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
15746
245146
3644446
0801446
Stop Event
iter limit
node limit
Counts
6 → 332
Calls
Call 1
Inputs
(exp (* y (log (/ y (+ z y)))))
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(/ (exp (* y (log (/ y (+ z y))))) y)
(* y (log (/ y (+ z y))))
(log (/ y (+ z y)))
(/ y (+ z y))
Outputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))) (exp.f64 (*.f64 y (log.f64 y)))))
(/.f64 (exp.f64 (*.f64 y (log.f64 y))) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z))))
(/.f64 (*.f64 (exp.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 y)))) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))
(/.f64 (neg.f64 (exp.f64 (*.f64 y (log.f64 y)))) (neg.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z))))
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 y z) y) (neg.f64 y))
(pow.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 y z)))))
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))))
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y) (pow.f64 y y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) x)
(fma.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (/.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) y) x)
(fma.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) x)
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(*.f64 (/.f64 (neg.f64 y) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z))))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 (neg.f64 z) y))
(*.f64 (/.f64 y (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z))))
(*.f64 (/.f64 y (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y)))) (+.f64 (neg.f64 z) y))
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z))

simplify426.0ms (3.6%)

Memory
31.6MiB live, 778.5MiB allocated
Algorithm
egg-herbie
Rules
9 370×accelerator-lowering-fma.f32
9 370×accelerator-lowering-fma.f64
5 308×*-lowering-*.f32
5 308×*-lowering-*.f64
3 480×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06034108
118143482
260863379
082183225
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(exp (* -1 z))
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Outputs
1
#s(literal 1 binary64)
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(fma.f64 y (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64))
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(exp (* -1 z))
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(* y (+ (log y) (log (/ 1 z))))
(*.f64 y (-.f64 (log.f64 y) (log.f64 z)))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(*.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))
(fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z z)))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z z))))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (*.f64 y (/.f64 y (neg.f64 z))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(-.f64 (*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))) (/.f64 (-.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y)))) z)) z))
(+ (log y) (log (/ 1 z)))
(-.f64 (log.f64 y) (log.f64 z))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 z)) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 z))) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 y (*.f64 y y))))) z) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) z) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 z z))) y)) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) y)) (neg.f64 y))) y)) (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(*.f64 z (fma.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 z (*.f64 (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(+ (log y) (log (/ 1 z)))
(-.f64 (log.f64 y) (log.f64 z))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z z)) (+.f64 (/.f64 y z) (log.f64 z))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))
(+.f64 (-.f64 (log.f64 y) (log.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))) (/.f64 y (neg.f64 z)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+.f64 (neg.f64 (log.f64 (neg.f64 z))) (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) y) z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
(-.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)) z))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) y))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 y (-.f64 (*.f64 y (/.f64 y (*.f64 z (*.f64 z z)))) (/.f64 y (*.f64 z z))) (/.f64 y z))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z (neg.f64 z)) y) (*.f64 z z)) y) z) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z (neg.f64 z)) y) (*.f64 z z)) y) z) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/.f64 (-.f64 y (/.f64 (*.f64 y y) z)) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/.f64 (+.f64 (-.f64 y (/.f64 (*.f64 (*.f64 y (*.f64 y y)) y) (*.f64 z (*.f64 z z)))) (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) y) z) (*.f64 y (*.f64 y y))) z) (*.f64 y y)) z) y) z))

eval67.0ms (0.6%)

Memory
-0.7MiB live, 154.4MiB allocated
Compiler

Compiled 13 511 to 2 246 computations (83.4% saved)

prune118.0ms (1%)

Memory
-42.4MiB live, 149.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New47711488
Fresh000
Picked101
Done000
Total47811489
Accuracy
100.0%
Counts
489 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
39.0%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
39.8%
(/.f64 #s(literal 1 binary64) y)
68.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
82.7%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
58.8%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
66.2%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
68.2%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
87.3%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
83.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
49.6%
x
Compiler

Compiled 306 to 202 computations (34% saved)

simplify348.0ms (3%)

Memory
24.1MiB live, 448.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff320
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
cost-diff320
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff384
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 z y)
cost-diff0
(-.f64 x (/.f64 z y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff704
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(neg.f64 z)
cost-diff0
(exp.f64 (neg.f64 z))
cost-diff0
(/.f64 (exp.f64 (neg.f64 z)) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Rules
11 792×accelerator-lowering-fma.f32
11 792×accelerator-lowering-fma.f64
2 402×*-lowering-*.f32
2 402×*-lowering-*.f64
1 590×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024131
156131
2141131
3266127
4548127
51309125
63112125
75270121
86878121
97617121
107963121
08007118
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (/ (exp (neg z)) y))
x
(/ (exp (neg z)) y)
(exp (neg z))
(neg z)
z
y
x
(+ (/ 1 y) x)
(/ 1 y)
1
y
x
(+ (/ 1 y) (- x (/ z y)))
(/ 1 y)
1
y
(- x (/ z y))
x
(/ z y)
z
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
z
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
(+ (/ 1/2 y) (/ 1/2 (* y y)))
(/ 1/2 y)
1/2
y
(/ 1/2 (* y y))
(* y y)
(/ -1 y)
-1
(+ (/ 1 y) x)
(/ 1 y)
1
x
Outputs
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp (neg z))
(exp.f64 (neg.f64 z))
(neg z)
(neg.f64 z)
z
y
x
(+ (/ 1 y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(+ (/ 1 y) (- x (/ z y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- x (/ z y))
(-.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
(+.f64 x (fma.f64 (/.f64 z y) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
z
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(+ (/ 1/2 y) (/ 1/2 (* y y)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(/ 1/2 (* y y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(* y y)
(*.f64 y y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
(+ (/ 1 y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
x

localize82.0ms (0.7%)

Memory
17.7MiB live, 186.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy97.0%
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy94.0%
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 x (/.f64 z y))
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(exp.f64 (neg.f64 z))
accuracy100.0%
(/.f64 (exp.f64 (neg.f64 z)) y)
Samples
52.0ms256×0valid
Compiler

Compiled 130 to 26 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 11.0ms (31% of total)
ival-add: 11.0ms (31% of total)
ival-mult: 8.0ms (22.5% of total)
ival-exp: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-8.3MiB live, 30.7MiB allocated
Counts
14 → 312
Calls
Call 1
Inputs
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (exp (neg z))>
#<alt (neg z)>
#<alt (+ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (- x (/ z y)))>
#<alt (- x (/ z y))>
#<alt (/ z y)>
#<alt (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))>
#<alt (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))>
#<alt (+ (/ 1/2 y) (/ 1/2 (* y y)))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 (* y y))>
Outputs
#<alt (/ (exp (neg z)) y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (- (/ 1 y) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ -1 y)>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (* -1 (/ (+ 1 (* -1/2 z)) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
Calls

78 calls:

TimeVariablePointExpression
18.0ms
x
@inf
(+ x (/ (exp (neg z)) y))
5.0ms
z
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
x
@0
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
1.0ms
z
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
y
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))

rewrite450.0ms (3.8%)

Memory
-1.9MiB live, 625.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 176×accelerator-lowering-fma.f32
6 176×accelerator-lowering-fma.f64
4 126×/-lowering-/.f32
4 126×/-lowering-/.f64
3 680×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02497
117597
2204595
0856089
Stop Event
iter limit
node limit
Counts
14 → 510
Calls
Call 1
Inputs
(+ x (/ (exp (neg z)) y))
(/ (exp (neg z)) y)
(exp (neg z))
(neg z)
(+ (/ 1 y) x)
(/ 1 y)
(+ (/ 1 y) (- x (/ z y)))
(- x (/ z y))
(/ z y)
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
(+ (/ 1/2 y) (/ 1/2 (* y y)))
(/ 1/2 y)
(/ 1/2 (* y y))
Outputs
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 (neg.f64 z))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 y (*.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 y (*.f64 y y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) y))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64))))
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(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 y #s(literal 1/2 binary64))) (*.f64 y y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 y) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (neg.f64 y)))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (*.f64 y (neg.f64 y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 y (neg.f64 y)) y))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y (neg.f64 y)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 y) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (*.f64 y (neg.f64 y)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 y y)))) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) y)) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))))))
(pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y y))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (neg.f64 y)))
(pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))

simplify479.0ms (4.1%)

Memory
3.6MiB live, 871.4MiB allocated
Algorithm
egg-herbie
Rules
16 926×accelerator-lowering-fma.f32
16 926×accelerator-lowering-fma.f64
3 748×*-lowering-*.f32
3 748×*-lowering-*.f64
2 426×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962248
15542246
215582120
347552044
080881944
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (exp (neg z)) y)
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(/ (exp (neg z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ (- 1 z) y)
(/ (- (+ 1 (* x y)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/ (- (+ 1 (* x y)) z) y)
x
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
x
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(- (/ 1 y) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
x
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(* -1 (/ z y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (/ z y))
(- x (/ z y))
(- x (/ z y))
(- x (/ z y))
x
(* x (+ 1 (* -1 (/ z (* x y)))))
(* x (+ 1 (* -1 (/ z (* x y)))))
(* x (+ 1 (* -1 (/ z (* x y)))))
x
(* -1 (* x (- (/ z (* x y)) 1)))
(* -1 (* x (- (/ z (* x y)) 1)))
(* -1 (* x (- (/ z (* x y)) 1)))
x
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(* -1 (/ z y))
(* z (- (/ x z) (/ 1 y)))
(* z (- (/ x z) (/ 1 y)))
(* z (- (/ x z) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(* -1 (/ z y))
(/ (- (* x y) z) y)
(/ (- (* x y) z) y)
(/ (- (* x y) z) y)
x
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
x
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ -1 y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (- (* 1/2 z) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(* -1 (/ (+ 1 (* -1/2 z)) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(+ x (/ 1 y))
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(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
x
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
x
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
x
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
Outputs
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
x
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- (+ 1 (* x y)) z) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ (- (+ 1 (* x y)) z) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ (- (+ 1 (* x y)) z) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (/ 1 y) (/ z y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
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(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))

eval202.0ms (1.7%)

Memory
22.3MiB live, 207.3MiB allocated
Compiler

Compiled 21 940 to 1 921 computations (91.2% saved)

prune111.0ms (0.9%)

Memory
-23.2MiB live, 240.3MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New91015925
Fresh336
Picked325
Done000
Total91620936
Accuracy
100.0%
Counts
936 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
61.9%
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
21.1%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
69.8%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
39.0%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
29.2%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
42.1%
(/.f64 (exp.f64 (neg.f64 z)) y)
3.2%
(/.f64 z (neg.f64 y))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
39.8%
(/.f64 #s(literal 1 binary64) y)
68.5%
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
68.2%
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
82.7%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
66.9%
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
69.1%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
87.3%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
83.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
4.5%
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))
4.6%
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
49.6%
x
Compiler

Compiled 506 to 335 computations (33.8% saved)

simplify345.0ms (2.9%)

Memory
12.4MiB live, 364.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
cost-diff1536
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
cost-diff0
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
cost-diff0
(fma.f64 y x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(exp.f64 z)
cost-diff0
(*.f64 (exp.f64 z) y)
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
cost-diff192
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
Rules
6 616×accelerator-lowering-fma.f32
6 616×accelerator-lowering-fma.f64
3 476×*-lowering-*.f32
3 476×*-lowering-*.f64
1 316×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027152
159150
2105148
3200148
4426148
5835148
61884148
73691130
85542130
96903130
107462130
117767130
127967130
08023125
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (/ 1 (* (exp z) y)))
x
(/ 1 (* (exp z) y))
1
(* (exp z) y)
(exp z)
z
y
(/ 1 y)
1
y
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
y
x
1
(* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y))
z
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)
(+ (* z (+ 1/2 (/ 1/2 y))) -1)
(+ 1/2 (/ 1/2 y))
1/2
(/ 1/2 y)
y
-1
(/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))))
1
(/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))
(- (/ 1 y) x)
(/ 1 y)
y
x
(- (/ 1 (* y y)) (* x x))
(/ 1 (* y y))
(* y y)
(* x x)
Outputs
(+ x (/ 1 (* (exp z) y)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(/ 1 (* (exp z) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
1
#s(literal 1 binary64)
(* (exp z) y)
(*.f64 (exp.f64 z) y)
(exp z)
(exp.f64 z)
z
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ (+ (* y x) 1) y)
(/.f64 (fma.f64 x y #s(literal 1 binary64)) y)
(+ (* y x) 1)
(fma.f64 x y #s(literal 1 binary64))
y
x
1
#s(literal 1 binary64)
(* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y))
(/.f64 (*.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) y)
z
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(+ (* z (+ 1/2 (/ 1/2 y))) -1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(+ 1/2 (/ 1/2 y))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
y
-1
#s(literal -1 binary64)
(/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
x
(- (/ 1 (* y y)) (* x x))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/ 1 (* y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* y y)
(*.f64 y y)
(* x x)
(*.f64 x x)

localize93.0ms (0.8%)

Memory
-16.7MiB live, 234.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy95.9%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
accuracy70.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
accuracy100.0%
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
accuracy100.0%
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
accuracy96.8%
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
accuracy100.0%
(fma.f64 y x #s(literal 1 binary64))
accuracy84.9%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
accuracy100.0%
(exp.f64 z)
accuracy100.0%
(*.f64 (exp.f64 z) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
Samples
45.0ms206×0valid
11.0ms50×0exit
Compiler

Compiled 149 to 29 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 15.0ms (44.5% of total)
ival-mult: 9.0ms (26.7% of total)
ival-add: 5.0ms (14.8% of total)
ival-sub: 2.0ms (5.9% of total)
ival-exp: 2.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
15.6MiB live, 51.1MiB allocated
Counts
16 → 348
Calls
Call 1
Inputs
#<alt (/ 1 (* (exp z) y))>
#<alt (+ x (/ 1 (* (exp z) y)))>
#<alt (* (exp z) y)>
#<alt (exp z)>
#<alt (/ 1 y)>
#<alt (/ (+ (* y x) 1) y)>
#<alt (+ (* y x) 1)>
#<alt (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y))>
#<alt (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)>
#<alt (+ (* z (+ 1/2 (/ 1/2 y))) -1)>
#<alt (+ 1/2 (/ 1/2 y))>
#<alt (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))>
#<alt (/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))))>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 (* y y)) (* x x))>
#<alt (/ 1 (* y y))>
Outputs
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ 1 (* y (exp z)))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp z))))))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ (+ (* x y) (/ 1 (exp z))) y)>
#<alt (/ (+ (* x y) (/ 1 (exp z))) y)>
#<alt (/ (+ (* x y) (/ 1 (exp z))) y)>
#<alt x>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt x>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt y>
#<alt (+ y (* y z))>
#<alt (+ y (* z (+ y (* 1/2 (* y z)))))>
#<alt (+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))>
#<alt (/ (* z (- (* 1/2 z) 1)) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (* z (- (* 1/2 z) 1)) y)>
#<alt (* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))>
#<alt (/ -1 y)>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))>
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))>
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))>
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))>
#<alt (* 1/2 (/ z y))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (* -1 (* x y))))>
#<alt (* y (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))))>
#<alt (* y (+ 1 (* y (+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2))))))))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* (pow x 2) y)))>
#<alt (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))>
#<alt (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* (pow x 2) y)))>
#<alt (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x))>
#<alt y>
#<alt (+ y (* -1 (* x (pow y 2))))>
#<alt (+ y (* x (+ (* -1 (pow y 2)) (* x (pow y 3)))))>
#<alt (+ y (* x (+ (* -1 (pow y 2)) (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (* x y))) x)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
Calls

87 calls:

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

rewrite457.0ms (3.9%)

Memory
-1.7MiB live, 783.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 314×/-lowering-/.f32
5 314×/-lowering-/.f64
4 532×accelerator-lowering-fma.f32
4 532×accelerator-lowering-fma.f64
4 370×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027124
118298
2159698
0864093
Stop Event
iter limit
node limit
Counts
16 → 801
Calls
Call 1
Inputs
(/ 1 (* (exp z) y))
(+ x (/ 1 (* (exp z) y)))
(* (exp z) y)
(exp z)
(/ 1 y)
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
(* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y))
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)
(+ (* z (+ 1/2 (/ 1/2 y))) -1)
(+ 1/2 (/ 1/2 y))
(/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x)))
(/ 1 (/ (- (/ 1 y) x) (- (/ 1 (* y y)) (* x x))))
(- (/ 1 y) x)
(- (/ 1 (* y y)) (* x x))
(/ 1 (* y y))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 z) y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (neg.f64 z)))
(exp.f64 (+.f64 (neg.f64 z) (neg.f64 (log.f64 y))))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y)))))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (exp.f64 z)))
(/.f64 (neg.f64 (exp.f64 (neg.f64 z))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 (neg.f64 y)))
(pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y))
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) y)))
(*.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y) x)
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) y)) x)
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 (exp.f64 z) y)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 (exp.f64 z) y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 (exp.f64 z) y)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 (exp.f64 z) y)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 (exp.f64 z) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (*.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (*.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 (exp.f64 z) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (fma.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 (exp.f64 z) y)))))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 (exp.f64 z) y))))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 (exp.f64 z) y))))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))))
(*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(exp.f64 (log.f64 (*.f64 (exp.f64 z) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (exp.f64 z) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y))
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(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))
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simplify446.0ms (3.8%)

Memory
10.4MiB live, 716.5MiB allocated
Algorithm
egg-herbie
Rules
11 620×accelerator-lowering-fma.f32
11 620×accelerator-lowering-fma.f64
4 518×*-lowering-*.f32
4 518×*-lowering-*.f64
1 772×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622601
17612518
218862381
355972369
082712248
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(/ 1 (* y (exp z)))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
x
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
x
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(/ 1 (* y (exp z)))
(/ (+ (* x y) (/ 1 (exp z))) y)
(/ (+ (* x y) (/ 1 (exp z))) y)
(/ (+ (* x y) (/ 1 (exp z))) y)
x
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
x
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
(+ x (/ 1 (* y (exp z))))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (/ z y))
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))
(/ (* z (- (* 1/2 z) 1)) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)
(/ (* z (- (* 1/2 z) 1)) y)
(* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))
(* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))
(* -1 (/ (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) y))
(/ -1 y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))
(/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (- (* 1/2 z) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (* 1/2 z) 1) y)
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))
(* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))
-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 y)) y)
(/ (+ 1/2 (* 1/2 y)) y)
(/ (+ 1/2 (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
1/2
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
y
(* y (+ 1 (* -1 (* x y))))
(* y (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))))
(* y (+ 1 (* y (+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2))))))))
(/ 1 x)
(- (/ 1 x) (/ 1 (* (pow x 2) y)))
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))))
(/ 1 x)
(- (/ 1 x) (/ 1 (* (pow x 2) y)))
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x))
y
(+ y (* -1 (* x (pow y 2))))
(+ y (* x (+ (* -1 (pow y 2)) (* x (pow y 3)))))
(+ y (* x (+ (* -1 (pow y 2)) (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))))))
(/ 1 x)
(/ (- 1 (/ 1 (* x y))) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (* x y)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* -1 (* x y))) y)
(/ (+ 1 (* -1 (* x y))) y)
(/ (+ 1 (* -1 (* x y))) y)
(* -1 x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(* -1 x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(/ 1 y)
(+ (* -1 x) (/ 1 y))
(+ (* -1 x) (/ 1 y))
(+ (* -1 x) (/ 1 y))
(* -1 x)
(* x (- (/ 1 (* x y)) 1))
(* x (- (/ 1 (* x y)) 1))
(* x (- (/ 1 (* x y)) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x y)))))
(* -1 (* x (- 1 (/ 1 (* x y)))))
(* -1 (* x (- 1 (/ 1 (* x y)))))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(* -1 (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(* -1 (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(/ 1 (pow y 2))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ 1 (* x (* y (exp z))))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 z y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+.f64 (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)) x)
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/ 1 (* y (exp z)))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (+ (* x y) (/ 1 (exp z))) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
(/ (+ (* x y) (/ 1 (exp z))) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
(/ (+ (* x y) (/ 1 (exp z))) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
x
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
y
(+ y (* y z))
(fma.f64 y z y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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y
(+ y (* -1 (* x (pow y 2))))
(-.f64 y (*.f64 y (*.f64 y x)))
(+ y (* x (+ (* -1 (pow y 2)) (* x (pow y 3)))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y)
(+ y (* x (+ (* -1 (pow y 2)) (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))))))
(fma.f64 x (fma.f64 x (neg.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64)))) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (* x y))) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x x))))) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (* x y)) 1) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y x)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x)))) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (* x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* -1 (* x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* -1 (* x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(* -1 x)
(neg.f64 x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* -1 x)
(neg.f64 x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 x) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* -1 x) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* -1 x) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 (* x y)) 1))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 (* x y)) 1))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 (* x y)) 1))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 (* x y)))))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- 1 (/ 1 (* x y)))))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- 1 (/ 1 (* x y)))))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (*.f64 y y))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (*.f64 y y))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (*.f64 y y))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (/ 1 (pow y 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(- (/ 1 (pow y 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(- (/ 1 (pow y 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (/ 1 (pow y 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(- (/ 1 (pow y 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(- (/ 1 (pow y 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))

eval241.0ms (2.1%)

Memory
-8.6MiB live, 333.3MiB allocated
Compiler

Compiled 28 969 to 2 832 computations (90.2% saved)

prune151.0ms (1.3%)

Memory
17.0MiB live, 368.6MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1 164131 177
Fresh11213
Picked325
Done022
Total1 168291 197
Accuracy
100.0%
Counts
1 197 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
61.9%
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
21.1%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
39.0%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
49.6%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y)
29.2%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
8.1%
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
36.7%
(/.f64 (*.f64 y x) y)
42.1%
(/.f64 (exp.f64 (neg.f64 z)) y)
3.2%
(/.f64 z (neg.f64 y))
29.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x))))
29.4%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
51.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))))
39.8%
(/.f64 #s(literal 1 binary64) y)
68.5%
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
68.2%
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
82.7%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
66.9%
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
69.1%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
75.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
76.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
74.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
87.3%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
83.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
69.8%
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
4.8%
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
9.4%
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y))
3.2%
(*.f64 z (/.f64 #s(literal -1 binary64) y))
49.6%
x
Compiler

Compiled 807 to 502 computations (37.8% saved)

simplify401.0ms (3.4%)

Memory
15.1MiB live, 535.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
cost-diff768
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
cost-diff0
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y)
cost-diff0
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
cost-diff0
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
cost-diff0
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 z (neg.f64 y))
cost-diff0
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))
cost-diff0
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
Rules
12 402×accelerator-lowering-fma.f32
12 402×accelerator-lowering-fma.f64
3 388×*-lowering-*.f32
3 388×*-lowering-*.f64
1 904×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034196
183196
2176196
3356196
4637196
51363196
62867192
75773192
87661192
08082179
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
x
(/ 1 (* y (pow (/ y (+ y z)) (neg y))))
1
(* y (pow (/ y (+ y z)) (neg y)))
y
(pow (/ y (+ y z)) (neg y))
(/ y (+ y z))
(+ y z)
z
(neg y)
(/ z (neg y))
z
(neg y)
y
(* z (/ (+ (* z 1/2) -1) y))
z
(/ (+ (* z 1/2) -1) y)
(+ (* z 1/2) -1)
1/2
-1
y
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y))
(+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y)
z
(+ (* z (+ (* y 1/2) 1/2)) (neg y))
(+ (* y 1/2) 1/2)
y
1/2
(neg y)
(* y y)
(+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y))
z
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)
(+ (* z (+ 1/2 (/ 1/2 y))) -1)
(+ 1/2 (/ 1/2 y))
1/2
(/ 1/2 y)
y
-1
(/ 1 y)
1
Outputs
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
x
(/ 1 (* y (pow (/ y (+ y z)) (neg y))))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))
1
#s(literal 1 binary64)
(* y (pow (/ y (+ y z)) (neg y)))
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
y
(pow (/ y (+ y z)) (neg y))
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))
(/ y (+ y z))
(/.f64 y (+.f64 y z))
(+ y z)
(+.f64 y z)
z
(neg y)
(neg.f64 y)
(/ z (neg y))
(neg.f64 (/.f64 z y))
z
(neg y)
(neg.f64 y)
y
(* z (/ (+ (* z 1/2) -1) y))
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
z
(/ (+ (* z 1/2) -1) y)
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(+ (* z 1/2) -1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
y
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y))
(/.f64 (-.f64 y (*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) (*.f64 y y))
(+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y)
(-.f64 y (*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y)))
z
(+ (* z (+ (* y 1/2) 1/2)) (neg y))
(-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y)
(+ (* y 1/2) 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(neg y)
(neg.f64 y)
(* y y)
(*.f64 y y)
(+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y))
(/.f64 (-.f64 y (*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))) (*.f64 y y))
z
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(+ (* z (+ 1/2 (/ 1/2 y))) -1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(+ 1/2 (/ 1/2 y))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
y
-1
#s(literal -1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)

localize238.0ms (2%)

Memory
9.7MiB live, 283.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
accuracy100.0%
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
accuracy100.0%
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
accuracy97.0%
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
accuracy100.0%
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y)
accuracy64.2%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
accuracy100.0%
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy100.0%
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
accuracy99.8%
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
accuracy100.0%
(/.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
accuracy100.0%
(/.f64 y (+.f64 y z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))
accuracy82.8%
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))
Samples
150.0ms112×1valid
27.0ms112×0valid
16.0ms19×1exit
3.0ms13×0exit
Compiler

Compiled 185 to 36 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-pow: 50.0ms (36.9% of total)
ival-neg: 26.0ms (19.2% of total)
ival-div: 18.0ms (13.3% of total)
ival-mult: 18.0ms (13.3% of total)
ival-add: 14.0ms (10.3% of total)
adjust: 8.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (0.8%)

Memory
-40.6MiB live, 54.7MiB allocated
Counts
18 → 396
Calls
Call 1
Inputs
#<alt (+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))>
#<alt (/ 1 (* y (pow (/ y (+ y z)) (neg y))))>
#<alt (* y (pow (/ y (+ y z)) (neg y)))>
#<alt (pow (/ y (+ y z)) (neg y))>
#<alt (/ z (neg y))>
#<alt (neg y)>
#<alt (* z (/ (+ (* z 1/2) -1) y))>
#<alt (/ (+ (* z 1/2) -1) y)>
#<alt (+ (* z 1/2) -1)>
#<alt (/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y))>
#<alt (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y)>
#<alt (+ (* z (+ (* y 1/2) 1/2)) (neg y))>
#<alt (+ (* y 1/2) 1/2)>
#<alt (+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y))>
#<alt (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)>
#<alt (+ (* z (+ 1/2 (/ 1/2 y))) -1)>
#<alt (+ 1/2 (/ 1/2 y))>
#<alt (/ y (+ y z))>
Outputs
#<alt (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt x>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z)))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))))>
#<alt x>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 y))))))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
#<alt (+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))>
#<alt (+ x (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))>
#<alt (+ x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/6 (/ (pow y 5) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* 1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z))))) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z)) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 2))) (/ 1 (exp z))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z))))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp z))) (+ (* -1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp z))) (+ (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp z))) (+ (* 1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))))) (* 1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) (exp z))))))) (pow y 3))) (/ 1 (exp z))) (+ (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp z)))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (* (pow y 2) (exp z)))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp z)))))))) y)>
#<alt (/ 1 (* y (exp z)))>
#<alt (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))))) (exp z))) (+ (* 1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp z))) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp z))) (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp z))))))) y)) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z)))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))))))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))>
#<alt (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))>
#<alt (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))>
#<alt (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/6 (/ (pow y 5) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* 1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z))))) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z)) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
#<alt y>
#<alt (* y (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (* y (+ 1 (* y (+ (* -1 (+ (log y) (log (/ 1 z)))) (* y (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (* y (+ 1 (* y (+ (* -1 (+ (log y) (log (/ 1 z)))) (* y (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* y (- (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))))>
#<alt (* y (exp z))>
#<alt (* y (+ (exp z) (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))))>
#<alt (* y (+ (exp z) (+ (* -1/2 (/ (* (exp z) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp z) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) (pow y 2)))))>
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#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)>
#<alt (* -1 (/ (- (* -1 (* z (- (* 1/2 z) 1))) 1) y))>
#<alt (* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y))>
#<alt (* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y))>
#<alt (* -1 (/ (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1) y))>
#<alt (/ -1 y)>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (* z (- (+ (/ 1/2 (pow y 2)) (* 1/2 (/ 1 y))) (/ 1 (* y z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) y)) (/ 1 (* y z)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) y))>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))>
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* z (+ 1/2 (* 1/2 (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))>
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))>
#<alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))>
#<alt (* 1/2 (/ z y))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))>
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))>
Calls

99 calls:

TimeVariablePointExpression
33.0ms
z
@-inf
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y))
11.0ms
y
@inf
(* z (/ (+ (* z 1/2) -1) y))
3.0ms
z
@-inf
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
3.0ms
z
@inf
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
1.0ms
y
@0
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))

rewrite754.0ms (6.4%)

Memory
14.5MiB live, 644.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 892×/-lowering-/.f32
4 892×/-lowering-/.f64
4 552×*-lowering-*.f32
4 552×*-lowering-*.f64
3 974×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034162
1245159
22187154
08633141
Stop Event
iter limit
node limit
Counts
18 → 866
Calls
Call 1
Inputs
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
(/ 1 (* y (pow (/ y (+ y z)) (neg y))))
(* y (pow (/ y (+ y z)) (neg y)))
(pow (/ y (+ y z)) (neg y))
(/ z (neg y))
(neg y)
(* z (/ (+ (* z 1/2) -1) y))
(/ (+ (* z 1/2) -1) y)
(+ (* z 1/2) -1)
(/ (+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y) (* y y))
(+ (* z (+ (* z (+ (* y 1/2) 1/2)) (neg y))) y)
(+ (* z (+ (* y 1/2) 1/2)) (neg y))
(+ (* y 1/2) 1/2)
(+ (* z (/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)) (/ 1 y))
(/ (+ (* z (+ 1/2 (/ 1/2 y))) -1) y)
(+ (* z (+ 1/2 (/ 1/2 y))) -1)
(+ 1/2 (/ 1/2 y))
(/ y (+ y z))
Outputs
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 (+.f64 y z) y) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y z) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (pow.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y z) y)) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y (neg.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (+.f64 y z) y)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y (neg.f64 y))) (pow.f64 (+.f64 y z) (neg.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y z) y) y)) x)
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y (neg.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (+.f64 y z) y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (pow.f64 (/.f64 y (+.f64 y z)) y)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (pow.f64 (/.f64 y (+.f64 y z)) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (neg.f64 y) (log.f64 (/.f64 y (+.f64 y z))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y))))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 (+.f64 y z) y) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (+.f64 y z) y) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y z) y) y))))
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y z))) (*.f64 (neg.f64 (+.f64 y z)) y)) (*.f64 (neg.f64 (+.f64 y z)) (neg.f64 (+.f64 y z))))
(pow.f64 (/.f64 (+.f64 y z) y) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y z)))
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(*.f64 y (exp.f64 (neg.f64 (log.f64 (+.f64 y z)))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y z)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (+.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z))
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 y z))))

simplify463.0ms (3.9%)

Memory
43.9MiB live, 1 054.3MiB allocated
Algorithm
egg-herbie
Rules
10 226×accelerator-lowering-fma.f32
10 226×accelerator-lowering-fma.f64
6 672×*-lowering-*.f32
6 672×*-lowering-*.f64
5 782×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08338018
126997122
085316745
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
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(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
x
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
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(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 y)) y)
(/ (+ 1/2 (* 1/2 y)) y)
(/ (+ 1/2 (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
1/2
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
1
(+ 1 (* -1 (/ z y)))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
Outputs
(/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y)))))
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
x
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x)
x
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))) (*.f64 y x))) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y)
(/.f64 (fma.f64 y (+.f64 x (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64)) y)
(/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)
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(/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)
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x
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))))
(+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z)))))
(+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))))
(- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))))
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x
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))))
(+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)))
(-.f64 x (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (*.f64 y (exp.f64 z))) (exp.f64 (neg.f64 z))) y))
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(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 y))))))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
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(+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))
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(- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))
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(- (+ x (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))
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(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 y (*.f64 y y))) (neg.f64 z)) (*.f64 y y)) z)) (neg.f64 z))

eval193.0ms (1.6%)

Memory
-27.6MiB live, 450.8MiB allocated
Compiler

Compiled 36 196 to 4 120 computations (88.6% saved)

prune175.0ms (1.5%)

Memory
18.5MiB live, 377.3MiB allocated
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New1 299131 312
Fresh81220
Picked325
Done044
Total1 310311 341
Accuracy
100.0%
Counts
1 341 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.7%
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
61.9%
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
17.9%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y))
34.1%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
20.0%
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y))
39.0%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
37.6%
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y)
29.2%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
4.8%
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y))
8.0%
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
36.7%
(/.f64 (*.f64 y x) y)
42.1%
(/.f64 (exp.f64 (neg.f64 z)) y)
4.8%
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
3.2%
(/.f64 z (neg.f64 y))
29.4%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
39.8%
(/.f64 #s(literal 1 binary64) y)
68.2%
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
82.7%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
69.1%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
75.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
76.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
74.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
87.3%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
53.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y)))))
4.8%
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
69.8%
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
3.2%
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
8.1%
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
4.8%
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
4.8%
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
49.6%
x
Compiler

Compiled 1 079 to 463 computations (57.1% saved)

regimes78.0ms (0.7%)

Memory
-8.1MiB live, 126.1MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y))
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x))))
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y))
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Calls

5 calls:

17.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
15.0ms
y
15.0ms
z
14.0ms
x
14.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
89.9%2x
99.7%3y
93.4%3z
90.3%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
94.8%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
-14.1MiB live, 23.5MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y))
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x))))
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y))
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Outputs
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Calls

1 calls:

15.0ms
y
Results
AccuracySegmentsBranch
99.7%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes70.0ms (0.6%)

Memory
15.1MiB live, 96.9MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y))
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x))))
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y))
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))))
(/.f64 (exp.f64 (neg.f64 z)) y)
Outputs
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

5 calls:

15.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
14.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
13.0ms
y
13.0ms
z
13.0ms
x
Results
AccuracySegmentsBranch
82.7%1x
82.7%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
88.6%2z
82.7%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
86.9%3y
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-20.0MiB live, 17.8MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y y))
(*.f64 (/.f64 z y) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (/.f64 (fma.f64 z (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x (neg.f64 x))))
(*.f64 z (/.f64 (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y) y))
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) y) (*.f64 y y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 (*.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))) y) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) y) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))))
Outputs
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
87.0%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.f64 z (/.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)))
Outputs
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
86.1%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
(*.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y)))
Calls

2 calls:

4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
84.7%2y
82.7%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory
-22.2MiB live, 16.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

6.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
82.7%1z
82.7%1y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
Outputs
x
(/.f64 #s(literal 1 binary64) y)
x
Calls

5 calls:

2.0ms
y
2.0ms
z
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms
x
Results
AccuracySegmentsBranch
70.3%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
66.6%3x
51.6%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
71.8%3y
54.1%2z
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

5 calls:

1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.6%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
49.6%1z
49.6%1x
49.6%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
49.6%1y
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch27.0ms (0.2%)

Memory
-9.9MiB live, 34.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
4.0ms
2.961181484269637e-19
1.4980530343876523e-8
21.0ms
-9.664590310487868e+47
-4.05195969761247e+47
Samples
11.0ms42×1valid
8.0ms70×0valid
1.0ms20×0invalid
Compiler

Compiled 164 to 126 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 5.0ms (30.9% of total)
ival-exp: 4.0ms (24.7% of total)
ival-add: 2.0ms (12.3% of total)
ival-div: 2.0ms (12.3% of total)
adjust: 1.0ms (6.2% of total)
ival-mult: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
10.3MiB live, 48.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
18.0ms
2.961181484269637e-19
1.4980530343876523e-8
21.0ms
-9.664590310487868e+47
-4.05195969761247e+47
Samples
16.0ms166×0valid
11.0ms42×1valid
3.0ms47×0invalid
Compiler

Compiled 279 to 211 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.8% of total)
ival-log: 7.0ms (30.8% of total)
ival-add: 3.0ms (13.2% of total)
ival-exp: 3.0ms (13.2% of total)
ival-mult: 2.0ms (8.8% of total)
adjust: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Memory
-21.5MiB live, 54.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
-1462.0427171546235
-9.754492884148249e-5
Samples
33.0ms102×1valid
3.0ms42×0valid
3.0ms41×0invalid
Compiler

Compiled 181 to 142 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-log: 15.0ms (48.7% of total)
ival-exp: 5.0ms (16.2% of total)
ival-div: 4.0ms (13% of total)
ival-add: 3.0ms (9.7% of total)
adjust: 2.0ms (6.5% of total)
ival-mult: 2.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory
1.2MiB live, 45.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-1.189379281048973e+107
-1.0246084724770448e+104
Samples
22.0ms70×1valid
5.0ms58×0valid
3.0ms45×0invalid
Compiler

Compiled 235 to 176 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-log: 10.0ms (41.5% of total)
ival-add: 6.0ms (24.9% of total)
ival-div: 3.0ms (12.5% of total)
ival-exp: 2.0ms (8.3% of total)
ival-mult: 2.0ms (8.3% of total)
adjust: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
11.1MiB live, 49.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-2.5768353056975375e+161
-2.330457469528897e+153
Samples
15.0ms58×1valid
8.0ms73×0invalid
7.0ms86×0valid
Compiler

Compiled 199 to 151 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 9.0ms (44.2% of total)
ival-div: 4.0ms (19.6% of total)
ival-add: 3.0ms (14.7% of total)
ival-exp: 2.0ms (9.8% of total)
ival-mult: 2.0ms (9.8% of total)
adjust: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
-23.7MiB live, 14.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
2.961181484269637e-19
1.4980530343876523e-8
Samples
6.0ms80×0valid
1.0ms18×0invalid
Compiler

Compiled 124 to 91 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (20.4% of total)
ival-log: 1.0ms (20.4% of total)
ival-exp: 1.0ms (20.4% of total)
ival-add: 1.0ms (20.4% of total)
ival-mult: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.5%)

Memory
38.3MiB live, 76.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
19825179755094572.0
4.1794182891100474e+48
22.0ms
-3.0826388809655607e-14
-2.3580107508090243e-29
Samples
22.0ms280×0valid
13.0ms56×1valid
5.0ms71×0invalid
Compiler

Compiled 271 to 226 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-log: 10.0ms (34.5% of total)
ival-div: 6.0ms (20.7% of total)
ival-add: 5.0ms (17.3% of total)
ival-exp: 4.0ms (13.8% of total)
ival-mult: 3.0ms (10.4% of total)
adjust: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Memory
-28.2MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Rules
12×+-commutative_binary64
*-commutative_binary64
if-if-or-not_binary32
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056138
175138
277138
378138
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2115620184325601/302231454903657293676544 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 z #s(literal -1150 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -104999999999999992243974101445553942816559318013711719563745956275371349993995189085377843035824925442048 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 y #s(literal -5831192761049855/633825300114114700748351602688 binary64)) x (if (<=.f64 y #s(literal 35000000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x
Outputs
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2115620184325601/302231454903657293676544 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -410000000000000009863831807020572745821059022848 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2115620184325601/302231454903657293676544 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 z #s(literal -1150 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -1150 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal -104999999999999992243974101445553942816559318013711719563745956275371349993995189085377843035824925442048 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -104999999999999992243974101445553942816559318013711719563745956275371349993995189085377843035824925442048 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y z y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -5831192761049855/633825300114114700748351602688 binary64)) x (if (<=.f64 y #s(literal 35000000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x

soundness1.5s (12.7%)

Memory
-128.4MiB live, 550.6MiB allocated
Rules
16 926×accelerator-lowering-fma.f32
16 926×accelerator-lowering-fma.f64
11 620×accelerator-lowering-fma.f32
11 620×accelerator-lowering-fma.f64
10 226×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622601
17612518
218862381
355972369
082712248
01962248
15542246
215582120
347552044
080881944
02497
117597
2204595
0856089
06034108
118143482
260863379
082183225
08338018
126997122
085316745
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 359 to 210 computations (41.5% saved)

preprocess141.0ms (1.2%)

Memory
22.6MiB live, 102.2MiB allocated
Compiler

Compiled 390 to 172 computations (55.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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