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

Time bar (total: 9.9s)

analyze233.0ms (2.4%)

Memory
1.5MiB live, 295.5MiB 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 (19.9%)

Memory
16.8MiB live, 2 511.7MiB allocated
Samples
842.0ms2 200×1valid
647.0ms6 056×0valid
76.0ms976×0invalid
2.0ms20×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 532.0ms (43.1% of total)
ival-div: 230.0ms (18.6% of total)
ival-add: 206.0ms (16.7% of total)
ival-exp: 118.0ms (9.6% of total)
ival-mult: 72.0ms (5.8% of total)
adjust: 66.0ms (5.3% of total)
ival-true: 8.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess231.0ms (2.3%)

Memory
-4.4MiB live, 33.7MiB 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
01713
12211
22511
32511
02511
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

explain303.0ms (3.1%)

Memory
10.7MiB live, 535.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15236(-5.167154384391772e+46 -1.20866117382078e+202 -2.587920464066515e-300)1(-2.4588078309209766e-5 -4.9749291070166945e-259 -2.4523984630068475e+58)(log.f64 (/.f64 y (+.f64 z y)))
380-2(1.3535298278141588e+127 3.7737953903772965e+263 -1.0043658447400824e-49)(*.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)
00-0-(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)))sensitivity1660
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue170
(log.f64 (/.f64 y (+.f64 z y)))underflow36
(/.f64 y (+.f64 z y))underflow21
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u100
Confusion
Predicted +Predicted -
+313
-15270
Precision
0.16939890710382513
Recall
0.9117647058823529
Confusion?
Predicted +Predicted MaybePredicted -
+3103
-152070
Precision?
0.16939890710382513
Recall?
0.9117647058823529
Freqs
test
numberfreq
073
1173
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
99.0ms246×1valid
26.0ms214×0valid
25.0ms52×2valid
Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-log: 54.0ms (45.7% of total)
ival-mult: 23.0ms (19.5% of total)
ival-div: 16.0ms (13.5% of total)
ival-add: 10.0ms (8.5% of total)
ival-exp: 8.0ms (6.8% of total)
adjust: 7.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify27.0ms (0.3%)

Memory
-32.4MiB live, 8.8MiB 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
lower-+.f32
lower-exp.f32
lift-+.f64
lift-/.f64
exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12252
22552
32552
02552
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z
Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(*.f64 y (log.f64 (/.f64 y (+.f64 y z))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(log.f64 (/.f64 y (+.f64 y z)))
(/.f64 y (+.f64 z y))
(/.f64 y (+.f64 y z))
(+.f64 z y)
(+.f64 y z)
z

localize78.0ms (0.8%)

Memory
21.8MiB live, 176.1MiB 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))
accuracy86.3%
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy47.4%
(log.f64 (/.f64 y (+.f64 z y)))
Samples
39.0ms123×1valid
12.0ms26×2valid
11.0ms107×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 24.0ms (48.6% of total)
ival-exp: 8.0ms (16.2% of total)
ival-div: 7.0ms (14.2% of total)
ival-add: 5.0ms (10.1% of total)
adjust: 3.0ms (6.1% of total)
ival-mult: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
21.7MiB live, 95.5MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))>
#<alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))>
#<alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)>
#<alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))>
#<alt (log.f64 (/.f64 y (+.f64 z y)))>
#<alt (/.f64 y (+.f64 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
8.0ms
x
@0
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
z
@inf
(exp (* y (log (/ y (+ z y)))))
3.0ms
y
@inf
(/ (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)))))

rewrite294.0ms (3%)

Memory
-16.8MiB live, 481.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 390×lower-*.f32
3 388×lower-*.f64
3 144×lower-fma.f64
3 144×lower-fma.f32
2 802×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
01752
16446
245846
3645746
0802846
Stop Event
iter limit
node limit
iter limit
Counts
6 → 332
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 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 z (*.f64 z z) (*.f64 y (*.f64 y y)))) 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 y (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (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))

simplify359.0ms (3.6%)

Memory
-0.4MiB live, 514.7MiB allocated
Algorithm
egg-herbie
Rules
9 370×lower-fma.f64
9 370×lower-fma.f32
5 308×lower-*.f64
5 308×lower-*.f32
3 480×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06034108
118143482
260863379
082183225
Stop Event
iter limit
node limit
Counts
156 → 152
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))

eval212.0ms (2.1%)

Memory
-22.4MiB live, 90.7MiB allocated
Compiler

Compiled 13 507 to 2 246 computations (83.4% saved)

prune192.0ms (1.9%)

Memory
24.0MiB live, 148.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New47212484
Fresh000
Picked101
Done000
Total47312485
Accuracy
100.0%
Counts
485 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
80.8%
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
41.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
42.2%
(/.f64 #s(literal 1 binary64) y)
68.6%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
89.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
51.8%
(+.f64 x (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 #s(literal 1 binary64) y)))
52.9%
(+.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))
63.8%
(+.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))
68.6%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
71.3%
(+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y))
84.2%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Compiler

Compiled 360 to 232 computations (35.6% saved)

simplify336.0ms (3.4%)

Memory
-30.5MiB live, 452.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
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))
cost-diff0
(+.f64 x (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 #s(literal 1 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 #s(literal 1 binary64) y))
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 #s(literal 1 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Rules
11 806×lower-fma.f32
11 802×lower-fma.f64
2 420×lower-*.f32
2 418×lower-*.f64
1 590×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023146
042146
175146
2158146
3286143
4547143
51288141
63047141
75261136
86862136
97620136
107967136
08011132
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 x (/.f64 z y))
x
(/.f64 z y)
z
(+.f64 x (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 #s(literal 1 binary64) y)))
x
(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 #s(literal 1 binary64) y))
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 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp.f64 (neg.f64 z))
(neg.f64 z)
z
y
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 x (/.f64 z y))
x
(/.f64 z y)
z
(+.f64 x (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 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) x))
x
(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 #s(literal 1 binary64) y))
(fma.f64 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
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) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp.f64 (neg.f64 z))
(neg.f64 z)
z
y

localize99.0ms (1%)

Memory
17.5MiB live, 134.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(exp.f64 (neg.f64 z))
accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
accuracy100.0%
(/.f64 (exp.f64 (neg.f64 z)) y)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
accuracy99.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy98.1%
(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 #s(literal 1 binary64) y))
accuracy88.9%
(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 #s(literal 1 binary64) y)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Samples
45.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 11.0ms (40.2% of total)
ival-add: 7.0ms (25.6% of total)
ival-mult: 4.0ms (14.6% of total)
ival-exp: 2.0ms (7.3% of total)
ival-sub: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-2.9MiB live, 34.1MiB allocated
Counts
14 → 324
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))>
#<alt (-.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (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))>
#<alt (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 #s(literal 1 binary64) y))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))>
#<alt (+.f64 x (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 #s(literal 1 binary64) y)))>
#<alt (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))>
#<alt (/.f64 (exp.f64 (neg.f64 z)) y)>
#<alt (exp.f64 (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 y y))>
Outputs
#<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 (/ 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))))) (/ 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))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (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 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) 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 (* 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 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))>
#<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 (+ (* 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 (+ 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 (/ (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 (/ 1/2 (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

81 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
3.0ms
z
@-inf
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (/ 1 y))
1.0ms
z
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
x
@0
(+ x (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (/ 1 y)))
1.0ms
z
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))

rewrite359.0ms (3.6%)

Memory
8.0MiB live, 551.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 494×lower-fma.f32
6 490×lower-fma.f64
4 396×lower-/.f32
4 384×lower-/.f64
3 844×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023110
042110
1202110
22162108
09044104
Stop Event
iter limit
node limit
iter limit
Counts
14 → 524
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(-.f64 x (/.f64 z y))
(/.f64 z y)
(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))
(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 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(+.f64 x (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 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp.f64 (neg.f64 z))
(neg.f64 z)
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 x (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y 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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(exp.f64 (neg.f64 (log.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (+.f64 (/.f64 z (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z (neg.f64 y)))
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))) (/.f64 (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y z)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y z))) (/.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y z))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)) (/.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 y)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) (/.f64 (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 z)) (*.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))))
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 y z)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y z))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y z))))
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (neg.f64 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (neg.f64 y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (neg.f64 z)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (neg.f64 y))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))))))
(-.f64 (/.f64 (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))) (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (-.f64 x (/.f64 z y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (-.f64 x (/.f64 z y)))
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 z (neg.f64 y)))
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 z (neg.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (-.f64 x (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x (/.f64 z y)) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 (-.f64 x (/.f64 z y)) (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)) (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x (/.f64 z y)) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 (-.f64 x (/.f64 z y)) (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)) (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))))))
(/.f64 (fma.f64 (-.f64 x (/.f64 z y)) (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x (/.f64 z y)) (-.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (-.f64 x (/.f64 z y)) (*.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (-.f64 x (/.f64 z y)) (-.f64 x (/.f64 z y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 z y)))) y)))
(/.f64 (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x)) (*.f64 y (fma.f64 x (*.f64 x x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (*.f64 y (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y)) (*.f64 y (-.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 y (+.f64 x (/.f64 z y))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x)) (*.f64 (neg.f64 y) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x (/.f64 z y)) (*.f64 (neg.f64 y) (-.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
(/.f64 (fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) y (*.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x)) y))
(/.f64 (fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (neg.f64 y) (*.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (*.f64 x x)) (neg.f64 y)))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 y y))) y (*.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))) (*.f64 (+.f64 x (/.f64 z y)) y))
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(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 (neg.f64 z))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (neg.f64 z))
(exp.f64 (*.f64 (log.f64 (exp.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) z))
(/.f64 #s(literal 1 binary64) (exp.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64))))
(pow.f64 (exp.f64 z) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) z)
(pow.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z)))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z)))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) z)
(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)))

simplify380.0ms (3.9%)

Memory
27.9MiB live, 544.0MiB allocated
Algorithm
egg-herbie
Rules
14 400×lower-fma.f64
14 400×lower-fma.f32
3 604×lower-*.f64
3 604×lower-*.f32
2 154×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02102698
15972696
216982508
352262362
082172239
Stop Event
iter limit
node limit
Counts
324 → 303
Calls
Call 1
Inputs
(/ 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))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* 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))))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (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 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) 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 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))
(/ 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)
(+ (* 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)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z 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)))
(* (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)))
(/ (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)
(/ 1/2 (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
(/ 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 (/.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
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(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 (/.f64 #s(literal 1 binary64) y) x))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(fma.f64 x (fma.f64 z (/.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(fma.f64 x (fma.f64 z (/.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(fma.f64 x (fma.f64 z (/.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
x
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(fma.f64 x (/.f64 (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)) x) x)
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(fma.f64 x (/.f64 (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)) x) x)
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(fma.f64 x (/.f64 (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)) x) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(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 (/.f64 #s(literal 1 binary64) y) x))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(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 (/.f64 #s(literal 1 binary64) y) x))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(* (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))))
(*.f64 z (fma.f64 z (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) y)))
(* (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))))
(*.f64 z (fma.f64 z (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(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 (/.f64 #s(literal 1 binary64) y) x))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(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 (/.f64 #s(literal 1 binary64) y) x))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/.f64 (fma.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 y x #s(literal 1 binary64)) (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)))) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 y x #s(literal 1 binary64)) (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)))) (*.f64 y y))
x
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 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 (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(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 (/.f64 #s(literal 1 binary64) y) x))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(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 (/.f64 #s(literal 1 binary64) y) x))
x
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 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 (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) 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))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) 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))
(/ (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 (/.f64 #s(literal 1 binary64) y) x)
(+ 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)))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.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)
(/ 1/2 (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))

eval139.0ms (1.4%)

Memory
18.7MiB live, 207.5MiB allocated
Compiler

Compiled 22 501 to 2 104 computations (90.6% saved)

prune107.0ms (1.1%)

Memory
-33.4MiB live, 204.1MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New89114905
Fresh437
Picked235
Done000
Total89720917
Accuracy
100.0%
Counts
917 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
67.3%
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
77.8%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
29.5%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
41.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
44.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
30.2%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
3.5%
(/.f64 (neg.f64 z) y)
38.4%
(/.f64 (exp.f64 (neg.f64 z)) y)
42.2%
(/.f64 #s(literal 1 binary64) y)
68.6%
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
57.3%
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
30.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y))
89.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
68.8%
(+.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))
69.6%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
84.2%
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
71.3%
(+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y))
84.2%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
5.4%
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 480 to 318 computations (33.8% saved)

simplify304.0ms (3.1%)

Memory
-0.9MiB live, 365.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(exp.f64 (neg.f64 z))
cost-diff0
(/.f64 (exp.f64 (neg.f64 z)) y)
cost-diff0
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
cost-diff640
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
cost-diff0
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(+.f64 y z)
cost-diff0
(/.f64 y (+.f64 y z))
cost-diff0
(pow.f64 (/.f64 y (+.f64 y z)) y)
cost-diff192
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
Rules
11 710×lower-fma.f32
11 700×lower-fma.f64
2 190×lower-*.f32
2 188×lower-*.f64
1 552×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027144
052144
194143
2200143
3420143
4739143
51539143
63208143
74865143
86733143
97683143
107985143
08043141
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(pow.f64 (/.f64 y (+.f64 y z)) y)
(/.f64 y (+.f64 y z))
y
(+.f64 y z)
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
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
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
z
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 z y)
y
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp.f64 (neg.f64 z))
(neg.f64 z)
z
y
Outputs
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(/.f64 y (+.f64 y z))
y
(+.f64 y z)
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 z) y)
(/.f64 z (neg.f64 y))
(neg.f64 z)
z
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 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
x
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (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)) x)
z
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y)
(/.f64 z y)
y
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) y))
x
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp.f64 (neg.f64 z))
(neg.f64 z)
z
y

localize153.0ms (1.6%)

Memory
26.1MiB live, 181.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(exp.f64 (neg.f64 z))
accuracy100.0%
(/.f64 (exp.f64 (neg.f64 z)) y)
accuracy100.0%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy100.0%
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
accuracy99.9%
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy100.0%
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
accuracy94.8%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
accuracy100.0%
(/.f64 (neg.f64 z) y)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(+.f64 y z)
accuracy100.0%
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(/.f64 y (+.f64 y z))
accuracy81.9%
(pow.f64 (/.f64 y (+.f64 y z)) y)
Samples
75.0ms93×1valid
37.0ms158×0valid
4.0ms2valid
Compiler

Compiled 146 to 34 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-pow: 22.0ms (29.1% of total)
ival-div: 17.0ms (22.5% of total)
ival-add: 12.0ms (15.9% of total)
ival-mult: 10.0ms (13.2% of total)
adjust: 6.0ms (7.9% of total)
const: 4.0ms (5.3% of total)
ival-exp: 2.0ms (2.6% of total)
ival-sub: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-2.5MiB live, 33.7MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
#<alt (fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)>
#<alt (pow.f64 (/.f64 y (+.f64 y z)) y)>
#<alt (/.f64 y (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (/.f64 (neg.f64 z) y)>
#<alt (neg.f64 z)>
#<alt (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))>
#<alt (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)>
#<alt (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))>
#<alt (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))>
#<alt (/.f64 z y)>
#<alt (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (exp.f64 (neg.f64 z)) y)>
#<alt (exp.f64 (neg.f64 z))>
#<alt (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))>
Outputs
#<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 (/ (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>
#<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 (/ 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))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<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) (/ (* z (- (* 1/2 z) 1)) y))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* 1/2 z) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* 1/2 z) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* 1/2 z) 1)) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)) x)) 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 (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))))>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))) y)>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<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 (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (- (+ 1 (* (pow z 2) (+ 1/2 (* -1/6 z)))) z) y)>
#<alt (/ (- (+ 1 (+ (* x y) (* (pow z 2) (+ 1/2 (* -1/6 z))))) z) y)>
#<alt (/ (- (+ 1 (+ (* x y) (* (pow z 2) (+ 1/2 (* -1/6 z))))) z) y)>
#<alt (/ (- (+ 1 (+ (* x y) (* (pow z 2) (+ 1/2 (* -1/6 z))))) z) y)>
#<alt x>
#<alt (- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))>
#<alt (- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))>
#<alt (- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))>
#<alt x>
#<alt (+ x (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/6 z)))) (* -1 (- 1 z))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/6 z)))) (* -1 (- 1 z))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/6 z)))) (* -1 (- 1 z))) y)))>
#<alt (- (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y)) (/ z y))>
#<alt (- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))>
#<alt (- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))>
#<alt (- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))>
#<alt x>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) (* x y)))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) (* x y)))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) (* x y)))) (/ z (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y)) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y)) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y)) (/ z y)) x)) 1)))>
#<alt (* 1/2 (/ z y))>
#<alt (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))>
#<alt (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))>
#<alt (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))>
#<alt (* -1/6 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* -1/6 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 z))) y)>
#<alt (/ (* z (+ 1/2 (* -1/6 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 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<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 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 (/ (- (+ 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 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
Calls

99 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(+ (* z (* (/ z y) (+ (* z -1/6) 1/2))) (+ x (/ (- 1 z) y)))
1.0ms
y
@0
(+ (* z (* (/ z y) (+ (* z -1/6) 1/2))) (+ x (/ (- 1 z) y)))
1.0ms
y
@0
(* (/ z y) (+ (* z -1/6) 1/2))
1.0ms
x
@0
(+ x (/ (+ (* z (+ (* z 1/2) -1)) 1) y))
1.0ms
x
@0
(+ (* z (* (/ z y) (+ (* z -1/6) 1/2))) (+ x (/ (- 1 z) y)))

rewrite477.0ms (4.8%)

Memory
8.2MiB live, 605.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 792×lower-*.f32
4 790×lower-*.f64
4 536×lower-/.f32
4 522×lower-/.f64
3 032×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027111
052110
1242110
22087110
08664110
Stop Event
iter limit
node limit
iter limit
Counts
17 → 765
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(pow.f64 (/.f64 y (+.f64 y z)) y)
(/.f64 y (+.f64 y z))
(+.f64 y z)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 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)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 z y)
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp.f64 (neg.f64 z))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
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 (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 #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 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 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 y y))) (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 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 y y))) (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (*.f64 x x)))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(pow.f64 (*.f64 y (exp.f64 z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)))
(*.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 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (neg.f64 z))
(exp.f64 (*.f64 (log.f64 (exp.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) z))
(/.f64 #s(literal 1 binary64) (exp.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64))))
(pow.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64))
(pow.f64 (exp.f64 z) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) z)
(pow.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 z y) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))))
(-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 z y))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) x)
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(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
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(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))))

simplify410.0ms (4.2%)

Memory
-1.4MiB live, 548.6MiB allocated
Algorithm
egg-herbie
Rules
8 250×lower-fma.f64
8 250×lower-fma.f32
5 880×lower-*.f64
5 880×lower-*.f32
3 456×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06064859
118844498
262364402
084544153
Stop Event
iter limit
node limit
Counts
396 → 374
Calls
Call 1
Inputs
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
x
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ 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)))))
x
(+ x (/ (exp (* -1 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ 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)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ 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)))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
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(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
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(+ 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)))))))
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1
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(+ (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 (/ (* (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))))
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(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
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(/ 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)))
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1
(+ 1 (* -1 (/ z y)))
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(+ 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))
z
(+ y z)
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y
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y
(* -1 (* y (- (* -1 (/ z y)) 1)))
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y
(+ y z)
(+ y z)
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z
(* z (+ 1 (/ y z)))
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(* -1 (* z (- (* -1 (/ y z)) 1)))
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(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (/ z y))
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(* -1 (/ z y))
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(* -1 (/ z y))
(* -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) (/ (* z (- (* 1/2 z) 1)) y))
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
x
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(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* 1/2 z) 1)) (* x y)))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* 1/2 z) 1)) (* x y)))))
x
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(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)) x)) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(* 1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))) (/ 1 (* y z))))
(* 1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))))
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))) y)
x
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(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
x
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(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(* 1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(* 1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* 1/2 z) 1)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
-1
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(* 1/2 z)
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* 1/2 z)
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(+ 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)))
(* -1/6 (/ (pow z 3) y))
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* -1/6 (/ (pow z 3) y))
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))
(/ (- (+ 1 (* (pow z 2) (+ 1/2 (* -1/6 z)))) z) y)
(/ (- (+ 1 (+ (* x y) (* (pow z 2) (+ 1/2 (* -1/6 z))))) z) y)
(/ (- (+ 1 (+ (* x y) (* (pow z 2) (+ 1/2 (* -1/6 z))))) z) y)
(/ (- (+ 1 (+ (* x y) (* (pow z 2) (+ 1/2 (* -1/6 z))))) z) y)
x
(- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))
(- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))
(- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))
x
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(+ x (* -1 (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/6 z)))) (* -1 (- 1 z))) y)))
(- (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y)) (/ z y))
(- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))
(- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))
(- (+ x (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y))) (/ z y))
x
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) (* x y)))) (/ z (* x y))))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) (* x y)))) (/ z (* x y))))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) (* x y)))) (/ z (* x y))))
x
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(* -1 (* x (- (* -1 (/ (- (+ (/ 1 y) (/ (* (pow z 2) (+ 1/2 (* -1/6 z))) y)) (/ z y)) x)) 1)))
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(* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))
(* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))
(* -1/6 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* -1/6 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 z))) y)
(/ (* z (+ 1/2 (* -1/6 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)
1/2
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* -1/6 z)
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(/ 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 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)
(/ (- (+ 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 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/.f64 (fma.f64 y (+.f64 x (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y)
(/ (+ 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)
(/.f64 (fma.f64 y (+.f64 x (fma.f64 y (fma.f64 y (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y)
x
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x))
(+ 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)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) (*.f64 y y)) (/.f64 (exp.f64 (neg.f64 z)) y)) (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (*.f64 y (*.f64 y y))) x))
x
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 z))) y))
(+ 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)))
(+.f64 x (/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (neg.f64 z)) y))) y)) y))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) y) x))
(+ 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)))
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 (neg.f64 z) y) (+.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))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+.f64 x (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y) (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y (neg.f64 z)) x))
(+ 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))))))
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(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (fma.f64 y x (-.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 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))

eval221.0ms (2.2%)

Memory
-23.1MiB live, 353.5MiB allocated
Compiler

Compiled 36 739 to 3 148 computations (91.4% saved)

prune222.0ms (2.3%)

Memory
12.7MiB live, 400.3MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 144161 160
Fresh3912
Picked325
Done033
Total1 150301 180
Accuracy
100.0%
Counts
1 180 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(fma.f64 (pow.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) y) x)
68.6%
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
33.7%
(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))
6.9%
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) y))
68.1%
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
35.5%
(/.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)
34.7%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
77.8%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
29.5%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
41.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
38.4%
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
44.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
30.2%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
8.4%
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
3.5%
(/.f64 (neg.f64 z) y)
38.4%
(/.f64 (exp.f64 (neg.f64 z)) y)
42.2%
(/.f64 #s(literal 1 binary64) y)
68.6%
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
57.3%
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
30.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y))
89.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
63.5%
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
69.6%
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y))
65.5%
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y))
62.8%
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y))
71.3%
(+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y))
84.2%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
20.1%
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z))))
3.5%
(*.f64 z (/.f64 #s(literal -1 binary64) y))
7.8%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
Compiler

Compiled 903 to 539 computations (40.3% saved)

simplify304.0ms (3.1%)

Memory
24.5MiB live, 461.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
cost-diff0
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 z (*.f64 z z))
cost-diff0
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff0
(fma.f64 y x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Rules
6 230×lower-fma.f32
6 228×lower-fma.f64
3 682×lower-*.f32
3 672×lower-*.f64
1 760×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023115
041109
168109
2106109
3169109
4274109
5507109
61050109
72017109
84122109
97056109
08297108
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(fma.f64 y x #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
#s(literal -1/6 binary64)
y
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
x
Outputs
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(fma.f64 y x #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
#s(literal -1/6 binary64)
y
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(+.f64 x (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
x

localize86.0ms (0.9%)

Memory
1.1MiB live, 194.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
accuracy55.9%
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy95.8%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
accuracy51.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy100.0%
(*.f64 z z)
accuracy99.9%
(*.f64 z (*.f64 z z))
accuracy99.8%
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))
accuracy95.1%
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy100.0%
(fma.f64 y x #s(literal 1 binary64))
accuracy85.7%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Samples
56.0ms256×0valid
Compiler

Compiled 117 to 26 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 14.0ms (35.2% of total)
ival-mult: 9.0ms (22.6% of total)
ival-pow: 6.0ms (15.1% of total)
const: 4.0ms (10.1% of total)
ival-sub: 3.0ms (7.5% of total)
ival-add: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
5.7MiB live, 43.7MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 y x #s(literal 1 binary64)) y)>
#<alt (fma.f64 y x #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) z) y)>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)>
#<alt (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))>
#<alt (*.f64 z (*.f64 z z))>
#<alt (*.f64 z z)>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)>
#<alt (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) y) x)>
Outputs
#<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 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<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 (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))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<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 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)))))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (* (* z (* z z)) -1/6) y)
1.0ms
y
@0
(/ (* (* z (* z z)) -1/6) y)
1.0ms
z
@0
(/ (* (* z (* z z)) -1/6) y)
0.0ms
y
@-inf
(/ (+ (* y x) 1) y)
0.0ms
z
@inf
(/ (* (* z (* z z)) -1/6) y)

rewrite315.0ms (3.2%)

Memory
-1.3MiB live, 639.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 776×lower-fma.f32
5 774×lower-fma.f64
4 210×lower-/.f32
4 198×lower-/.f64
3 914×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02391
04193
117067
2127767
0863167
Stop Event
iter limit
node limit
iter limit
Counts
15 → 996
Calls
Call 1
Inputs
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(fma.f64 y x #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64))
(*.f64 z (*.f64 z z))
(*.f64 z z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) y))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (fma.f64 y x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 y x #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y)) (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) y)))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (*.f64 y (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) y))
(/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y)))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (neg.f64 (*.f64 y (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) y) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) y) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) y)) (fma.f64 y (neg.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal 1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) y))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)))))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y)))
(*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y))))
(*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y))))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (*.f64 y (neg.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y x))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y x))))
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(*.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))

simplify313.0ms (3.2%)

Memory
-11.6MiB live, 317.8MiB allocated
Algorithm
egg-herbie
Rules
7 094×lower-fma.f64
7 094×lower-fma.f32
4 544×lower-*.f64
4 544×lower-*.f32
1 742×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0781585
11851486
24131384
310801312
429491276
562091276
081311258
Stop Event
iter limit
node limit
Counts
276 → 264
Calls
Call 1
Inputs
(/ 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 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* -1 (/ z y)) (/ 1 y))
(* -1 (/ z y))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (/ (pow z 3) y))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 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 (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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ 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 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)))))
Outputs
(/ 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
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* z (- (/ 1 (* y z)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* z (- (/ 1 (* y z)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 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 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (/ 1 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(- (/ 1 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(- (/ 1 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (/ 1 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(- (/ 1 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(- (/ 1 (pow y 2)) (pow x 2))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(fma.f64 x (neg.f64 x) (/.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))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ 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 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 (/.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 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 (* -1 (* x y))) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 (* x y))) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 (* x y))) y)
(-.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 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)

eval159.0ms (1.6%)

Memory
24.4MiB live, 364.0MiB allocated
Compiler

Compiled 30 837 to 2 156 computations (93% saved)

prune230.0ms (2.3%)

Memory
-24.0MiB live, 282.8MiB allocated
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New1 28891 297
Fresh41620
Picked235
Done145
Total1 295321 327
Accuracy
100.0%
Counts
1 327 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(fma.f64 (pow.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) y) x)
68.6%
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
33.7%
(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))
68.1%
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
35.5%
(/.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)
34.7%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
77.8%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
29.5%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
41.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
29.6%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
20.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
38.4%
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
41.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))
30.2%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
8.4%
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
39.0%
(/.f64 (*.f64 y x) y)
3.5%
(/.f64 (neg.f64 z) y)
38.4%
(/.f64 (exp.f64 (neg.f64 z)) y)
8.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z))))
42.2%
(/.f64 #s(literal 1 binary64) y)
30.2%
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
68.6%
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
89.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
47.4%
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
63.5%
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
69.6%
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y))
65.5%
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y))
71.3%
(+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y))
20.1%
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z))))
7.4%
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64))))
3.5%
(*.f64 z (/.f64 #s(literal -1 binary64) y))
7.8%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
Compiler

Compiled 1 193 to 475 computations (60.2% saved)

regimes78.0ms (0.8%)

Memory
0.2MiB live, 154.5MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(+.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 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)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64))))
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y))
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.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 (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 y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z))))
(+.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) 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))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y))
(+.f64 x (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 #s(literal 1 binary64) y)))
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) 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 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z))))
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(fma.f64 (pow.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
Calls

5 calls:

17.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
15.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
15.0ms
x
15.0ms
y
14.0ms
z
Results
AccuracySegmentsBranch
89.1%1x
99.5%3y
89.1%1z
92.7%3(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
93.6%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory
0.4MiB live, 39.2MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(+.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 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)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64))))
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y))
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.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 (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 y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z))))
(+.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) 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))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y))
(+.f64 x (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 #s(literal 1 binary64) y)))
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) 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 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z))))
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
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:

13.0ms
y
Results
AccuracySegmentsBranch
99.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory
-11.2MiB live, 33.3MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(+.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 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)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64))))
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y))
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.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 (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 y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -6 binary64)) (*.f64 z (*.f64 z z))))
(+.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (neg.f64 z) 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))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y))
(+.f64 x (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 #s(literal 1 binary64) y)))
(fma.f64 z (*.f64 (/.f64 z y) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) 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 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) z)) z)) (*.f64 z (*.f64 z (neg.f64 z))))
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
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:

15.0ms
y
Results
AccuracySegmentsBranch
92.1%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(+.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 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)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64))))
(+.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 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) y))
(+.f64 x (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(/.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)
Outputs
(+.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 #s(literal 1 binary64) y) x)
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
92.1%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Memory
-5.6MiB live, 32.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(+.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 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)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(*.f64 (*.f64 z z) (/.f64 z (*.f64 y #s(literal -6 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

3 calls:

6.0ms
y
5.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
5.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
89.1%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
89.1%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
89.1%1y
Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes10.0ms (0.1%)

Memory
-12.7MiB live, 26.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
Outputs
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
Calls

5 calls:

2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms
y
Results
AccuracySegmentsBranch
70.9%3y
68.5%3x
56.3%2z
69.8%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
55.9%4(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Accuracy

Total -25.1b remaining (-67.9%)

Threshold costs -25.1b (-67.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
Outputs
(/.f64 #s(literal 1 binary64) y)
Calls

5 calls:

1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
x
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
42.2%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
42.2%1z
42.2%1x
42.2%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
42.2%1y
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch29.0ms (0.3%)

Memory
-36.0MiB live, 56.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
17.0ms
5.4596531653016426e-8
0.002851434054502395
10.0ms
-97697698.06007874
-1.006186585036086e-6
Samples
17.0ms160×0valid
3.0ms39×0invalid
Compiler

Compiled 229 to 176 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 6.0ms (40.3% of total)
ival-div: 3.0ms (20.1% of total)
ival-log: 3.0ms (20.1% of total)
ival-exp: 1.0ms (6.7% of total)
ival-mult: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
0.0ms
5.4596531653016426e-8
0.002851434054502395
0.0ms
-97697698.06007874
-1.006186585036086e-6
Compiler

Compiled 219 to 166 computations (24.2% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
-97697698.06007874
-1.006186585036086e-6
Compiler

Compiled 127 to 96 computations (24.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
-97697698.06007874
-1.006186585036086e-6
Compiler

Compiled 115 to 88 computations (23.5% saved)

bsearch100.0ms (1%)

Memory
16.6MiB live, 207.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
10084617177086.12
4821197815770421.0
77.0ms
-1.0868222454551807e+45
-3.648331370288133e+36
Samples
42.0ms45×1valid
22.0ms227×0valid
9.0ms62×1exit
6.0ms78×0invalid
Compiler

Compiled 291 to 237 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 29.0ms (43.7% of total)
ival-exp: 16.0ms (24.1% of total)
ival-div: 11.0ms (16.6% of total)
ival-add: 5.0ms (7.5% of total)
ival-mult: 4.0ms (6% of total)
adjust: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
-18.4MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043128
154128
256128
357128
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))))
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -10 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 y #s(literal -10 binary64)) (+.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 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 y #s(literal -3700000000000000289772915614575230976 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (if (<=.f64 y #s(literal 330000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) y) x)))
(/.f64 #s(literal 1 binary64) y)
Outputs
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))))
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))))
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -10 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 y #s(literal -10 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 y #s(literal -10 binary64)) (+.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 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -10 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -3700000000000000289772915614575230976 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (if (<=.f64 y #s(literal 330000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -3700000000000000289772915614575230976 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 330000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) y)

soundness857.0ms (8.7%)

Memory
1.7MiB live, 607.1MiB allocated
Rules
14 400×lower-fma.f64
14 400×lower-fma.f32
9 370×lower-fma.f64
9 370×lower-fma.f32
7 094×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02102698
15972696
216982508
352262362
082172239
0781585
11851486
24131384
310801312
429491276
562091276
081311258
023110
042110
1202110
22162108
09044104
06034108
118143482
260863379
082183225
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 305 to 168 computations (44.9% saved)

preprocess105.0ms (1.1%)

Memory
8.3MiB live, 126.5MiB allocated
Compiler

Compiled 358 to 146 computations (59.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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