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

Time bar (total: 11.4s)

analyze277.0ms (2.4%)

Memory
37.7MiB live, 262.2MiB allocated
Algorithm
1×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)

sample2.1s (18%)

Memory
0.1MiB live, 2 840.3MiB allocated
Samples
818.0ms2 277×1valid
697.0ms5 979×0valid
95.0ms969×0invalid
3.0ms25×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 481.0ms (40.3% of total)
ival-div: 192.0ms (16.1% of total)
ival-add: 173.0ms (14.5% of total)
ival-exp: 171.0ms (14.3% of total)
ival-mult: 124.0ms (10.4% of total)
adjust: 41.0ms (3.4% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess233.0ms (2%)

Memory
-20.7MiB live, 61.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))

explain392.0ms (3.4%)

Memory
15.8MiB live, 330.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16047(-1.4675990963321461e+56 2.7122797709139115e+179 -3.549573830599737e-175)3(6.72041287174232e+21 3.906089845407741e-129 4.99170795664688e+188)(log.f64 (/.f64 y (+.f64 z y)))
520-6(-1.3319681274928087e-243 -6.911582288101234e+22 -1.7724060038327283e-299)(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
10-0-(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
00-0-z
00-0-(/.f64 y (+.f64 z y))
00-0-(+.f64 z y)
01(3.41232830039941e-215 2.7891556464385946e+89 -355.14658031526636)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)))sensitivity1891
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue130
↳(log.f64 (/.f64 y (+.f64 z y)))underflow46
↳(/.f64 y (+.f64 z y))underflow15
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u80
exp.f64(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))sensitivity11
/.f64(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)o/n10
↳(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))overflow33
Confusion
Predicted +Predicted -
+452
-15752
Precision
0.22277227722772278
Recall
0.9574468085106383
Confusion?
Predicted +Predicted MaybePredicted -
+4502
-157151
Precision?
0.22167487684729065
Recall?
0.9574468085106383
Freqs
test
numberfreq
054
1192
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
93.0ms294×1valid
58.0ms70×2valid
13.0ms148×0valid
Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-log: 54.0ms (39.3% of total)
ival-div: 39.0ms (28.4% of total)
ival-mult: 18.0ms (13.1% of total)
ival-add: 10.0ms (7.3% of total)
ival-exp: 9.0ms (6.6% of total)
adjust: 7.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.3%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify5.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
1×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
8×lower-+.f32
6×lower-exp.f32
4×lift-+.f64
4×lift-/.f64
4×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12252
22552
32552
02552
Stop Event
1×iter limit
1×saturated
1×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

localize182.0ms (1.6%)

Memory
-15.9MiB live, 96.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y (+.f64 z y))
✓accuracy99.6%
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
✓accuracy81.9%
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓accuracy44.0%
(log.f64 (/.f64 y (+.f64 z y)))
Samples
66.0ms147×1valid
16.0ms35×2valid
7.0ms74×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-log: 31.0ms (40.9% of total)
ival-exp: 26.0ms (34.3% of total)
ival-div: 7.0ms (9.2% of total)
ival-add: 5.0ms (6.6% of total)
adjust: 4.0ms (5.3% of total)
ival-mult: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-16.8MiB live, 36.6MiB 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
16.0ms
y
@inf
(/ y (+ z y))
7.0ms
x
@0
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
2.0ms
y
@inf
(exp (* y (log (/ y (+ z y)))))
2.0ms
y
@inf
(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms
y
@-inf
(exp (* y (log (/ y (+ z y)))))

rewrite244.0ms (2.1%)

Memory
15.2MiB live, 405.4MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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)
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(*.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 (neg.f64 z) y))
(*.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))

simplify336.0ms (3%)

Memory
19.4MiB live, 465.9MiB allocated
Algorithm
1×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
1×iter limit
1×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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(+ (* -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))

eval90.0ms (0.8%)

Memory
-24.1MiB live, 89.5MiB allocated
Compiler

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

prune66.0ms (0.6%)

Memory
15.8MiB live, 131.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New47410484
Fresh000
Picked101
Done000
Total47510485
Accuracy
99.6%
Counts
485 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.8%
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
19.3%
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
▶35.5%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
▶36.3%
(/.f64 #s(literal 1 binary64) y)
83.4%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
63.9%
(+.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))
69.9%
(+.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))
▶70.3%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
▶88.4%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
78.1%
(*.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
Compiler

Compiled 350 to 204 computations (41.7% saved)

simplify327.0ms (2.9%)

Memory
10.6MiB live, 367.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(/.f64 y (+.f64 y z))
✓cost-diff0
(pow.f64 (/.f64 y (+.f64 y z)) y)
✓cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff256
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓cost-diff320
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
✓cost-diff704
(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 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓cost-diff0
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(exp.f64 (neg.f64 z))
✓cost-diff0
(/.f64 (exp.f64 (neg.f64 z)) y)
✓cost-diff0
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Rules
12 836×lower-fma.f32
12 832×lower-fma.f64
2 370×lower-*.f32
2 368×lower-*.f64
1 560×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026142
048142
181142
2158142
3280139
4511139
51003139
62339139
74268139
85814134
97286134
107910134
08025132
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.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
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.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)
z
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))
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 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
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
Outputs
(+.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
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.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)
z
y
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 z (*.f64 (+.f64 z (/.f64 z y)) #s(literal -1/2 binary64)))) x)
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 (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 1/2 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 (/.f64 #s(literal 1 binary64) y) x)
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 y z)) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 y z))
(/.f64 y (+.f64 z y))
y
(+.f64 y z)
(+.f64 z y)
z

localize236.0ms (2.1%)

Memory
7.0MiB live, 197.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(/.f64 y (+.f64 y z))
✓accuracy99.6%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
✓accuracy77.1%
(pow.f64 (/.f64 y (+.f64 y z)) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
✓accuracy99.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓accuracy97.5%
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓accuracy94.3%
(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 #s(literal 1 binary64) z)
✓accuracy100.0%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(exp.f64 (neg.f64 z))
✓accuracy99.6%
(/.f64 (exp.f64 (neg.f64 z)) y)
Samples
91.0ms128×1valid
29.0ms128×0valid
Compiler

Compiled 147 to 30 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-pow: 48.0ms (49.1% of total)
ival-div: 22.0ms (22.5% of total)
ival-add: 10.0ms (10.2% of total)
adjust: 7.0ms (7.2% of total)
ival-mult: 6.0ms (6.1% of total)
ival-exp: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
17.8MiB live, 52.4MiB allocated
Counts
17 → 360
Calls
Call 1
Inputs
#<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 binary64) y)>
#<alt (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) z) y)>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<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 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y 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 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)>
#<alt (pow.f64 (/.f64 y (+.f64 y z)) y)>
#<alt (/.f64 y (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 y y))>
Outputs
#<alt (/ (exp (neg z)) y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ 1 y)>
#<alt (/ 1 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) (/ 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))>
#<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 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 (/ 1/2 (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 (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1 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 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 (/ 1/2 (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

90 calls:

TimeVariablePointExpression
11.0ms
z
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
z
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
x
@0
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
1.0ms
y
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
0.0ms
y
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))

rewrite369.0ms (3.2%)

Memory
-9.1MiB live, 514.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 746×lower-fma.f32
4 742×lower-fma.f64
4 194×lower-/.f32
4 178×lower-/.f64
3 622×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026111
048111
1229111
22181111
08369108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 600
Calls
Call 1
Inputs
(+.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 binary64) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) 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)))
(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))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(pow.f64 (/.f64 y (+.f64 y z)) y)
(/.f64 y (+.f64 y z))
(+.f64 y z)
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
Outputs
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (exp.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (exp.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)))
(pow.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z))))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (exp.f64 z))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 z) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (neg.f64 z)))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y)))
(neg.f64 (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 z))) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (exp.f64 z)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (exp.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 z) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (exp.f64 z)))
(/.f64 (neg.f64 (exp.f64 (neg.f64 z))) (neg.f64 y))
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 (neg.f64 y)))
(/.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 y))
(/.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 (neg.f64 y)))
(pow.f64 (*.f64 y (exp.f64 z)) #s(literal -1 binary64))
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simplify444.0ms (3.9%)

Memory
-6.8MiB live, 623.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 998×lower-fma.f64
7 998×lower-fma.f32
5 396×lower-*.f64
5 396×lower-*.f32
3 118×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05604487
117104114
256204016
082873824
Stop Event
1×iter limit
1×node limit
Counts
360 → 342
Calls
Call 1
Inputs
(/ (exp (neg z)) y)
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
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x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
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(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
Outputs
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 x (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y x)) x)
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 x (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y x)) x)
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 x (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y x)) x)
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y x)))))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y x)))))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y x)))))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 z y) x))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) 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))
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) y))
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 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) (/ z y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.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 (/ 1 (* x y))) (/ z (* x y))))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (neg.f64 x))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 x z)) (/.f64 z (neg.f64 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 x z)) (/.f64 z (neg.f64 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 x z)) (/.f64 z (neg.f64 y)))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(fma.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z) (/.f64 z (neg.f64 y)))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(fma.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z) (/.f64 z (neg.f64 y)))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(fma.f64 z (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) z) (/.f64 z (neg.f64 y)))
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #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))
(/ 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 z (*.f64 z y)) (/.f64 z y))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(-.f64 (/.f64 z (*.f64 z y)) (/.f64 z y))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(-.f64 (/.f64 z (*.f64 z y)) (/.f64 z y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(-.f64 (/.f64 z (*.f64 z y)) (/.f64 z y))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(-.f64 (/.f64 z (*.f64 z y)) (/.f64 z y))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(-.f64 (/.f64 z (*.f64 z y)) (/.f64 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 y)
(/.f64 #s(literal -1 binary64) y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (neg.f64 (/.f64 z (*.f64 z y))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (neg.f64 (/.f64 z (*.f64 z y))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (neg.f64 (/.f64 z (*.f64 z y))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (neg.f64 (/.f64 z (*.f64 z y))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (neg.f64 (/.f64 z (*.f64 z y))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (neg.f64 (/.f64 z (*.f64 z y))))
(* 1/2 (/ z (pow y 2)))
(*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/ (- (* 1/2 z) 1) y)
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
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(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z z) y) 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 y) (*.f64 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))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) 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))
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) (*.f64 y (*.f64 y y))) z))) z)) z)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (/ z y)))
(fma.f64 y (/.f64 z y) y)
(* y (+ 1 (/ z y)))
(fma.f64 y (/.f64 z y) y)
(* y (+ 1 (/ z y)))
(fma.f64 y (/.f64 z y) y)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(fma.f64 y (/.f64 z y) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(fma.f64 y (/.f64 z y) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(fma.f64 y (/.f64 z y) y)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (/ y z)))
(fma.f64 z (/.f64 y z) z)
(* z (+ 1 (/ y z)))
(fma.f64 z (/.f64 y z) z)
(* z (+ 1 (/ y z)))
(fma.f64 z (/.f64 y z) z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(fma.f64 z (/.f64 y z) z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(fma.f64 z (/.f64 y z) z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(fma.f64 z (/.f64 y z) 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))

eval160.0ms (1.4%)

Memory
12.4MiB live, 313.3MiB allocated
Compiler

Compiled 21 061 to 2 513 computations (88.1% saved)

prune191.0ms (1.7%)

Memory
-12.9MiB live, 304.0MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New94919968
Fresh235
Picked325
Done000
Total95424978
Accuracy
99.9%
Counts
978 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.3%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
71.0%
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
59.2%
(fma.f64 x (fma.f64 (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 z x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) x)
26.3%
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
▶30.8%
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
19.3%
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
▶27.5%
(/.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)))
24.6%
(/.f64 (pow.f64 (/.f64 y z) y) y)
59.1%
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
27.8%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
▶2.8%
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
40.5%
(/.f64 (exp.f64 (neg.f64 z)) y)
▶3.1%
(/.f64 z (neg.f64 y))
✓36.3%
(/.f64 #s(literal 1 binary64) y)
72.6%
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
▶83.4%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
74.3%
(+.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))
57.3%
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z y)) (*.f64 y y)))
68.9%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
70.4%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (+.f64 z #s(literal 1 binary64)))))
✓88.4%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
64.9%
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
44.2%
(+.f64 x (exp.f64 (-.f64 (neg.f64 (log.f64 y)) z)))
78.1%
(*.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
Compiler

Compiled 774 to 458 computations (40.8% saved)

simplify517.0ms (4.5%)

Memory
-8.4MiB live, 553.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.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)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(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))))
✓cost-diff0
(/.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)))
✓cost-diff0
(+.f64 z (/.f64 z y))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 z #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(/.f64 z (neg.f64 y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Rules
16 144×lower-fma.f32
16 136×lower-fma.f64
3 348×lower-*.f32
3 334×lower-*.f64
1 978×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030229
058195
1113195
2240189
3605189
42052189
56044189
08134189
Stop Event
1×iter limit
1×node limit
1×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 z (neg.f64 y))
z
(neg.f64 y)
y
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
z
(*.f64 z #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(+.f64 z (/.f64 z y))
(/.f64 z y)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.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)))
(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))))
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 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))
(*.f64 y (*.f64 y y))
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 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 z (neg.f64 y))
(/.f64 (neg.f64 z) y)
z
(neg.f64 y)
y
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
z
(*.f64 z #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.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)
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(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))
z
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(+.f64 z (/.f64 z y))
(/.f64 z y)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.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 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)))
(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 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))
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 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 y y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))
(*.f64 y (*.f64 y y))
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 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)

localize126.0ms (1.1%)

Memory
9.2MiB live, 164.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x))
✓accuracy95.9%
(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))))
✓accuracy86.1%
(/.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)))
✓accuracy40.2%
(/.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)))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(+.f64 z (/.f64 z y))
✓accuracy100.0%
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy95.1%
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy100.0%
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 z #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 y y)
✓accuracy76.4%
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
✓accuracy100.0%
(/.f64 z (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Samples
85.0ms256×0valid
Compiler

Compiled 240 to 36 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 41.0ms (60.5% of total)
ival-mult: 17.0ms (25.1% of total)
ival-add: 6.0ms (8.8% of total)
ival-sub: 2.0ms (2.9% of total)
ival-neg: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
-7.0MiB live, 68.4MiB allocated
Counts
18 → 396
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))>
#<alt (*.f64 z (*.f64 z #s(literal 1/2 binary64)))>
#<alt (*.f64 z #s(literal 1/2 binary64))>
#<alt (*.f64 y y)>
#<alt (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)>
#<alt (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))>
#<alt (+.f64 z (/.f64 z y))>
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#<alt x>
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#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) x)) (/ (pow (- 1 z) 2) x)) (pow y 2)))) (* -1 (/ (- 1 z) y)))>
#<alt (- (+ x (* -1 (/ (* (+ (* -1 (/ (pow (- 1 z) 2) x)) (/ (pow (- 1 z) 2) x)) (- 1 z)) (* x (pow y 3))))) (+ (* -1 (/ (- 1 z) y)) (+ (* -1 (/ (pow (- 1 z) 2) (* x (pow y 2)))) (/ (pow (- 1 z) 2) (* x (pow y 2))))))>
#<alt x>
#<alt (+ x (* -1 (/ (- z 1) y)))>
#<alt (+ x (* -1 (/ (- (+ z (+ (/ (* (- 1 z) (- z 1)) (* x y)) (/ (pow (- 1 z) 2) (* x y)))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 1 z) 3) (pow x 2))) (+ (* -1 (/ (* (+ (/ (* (- 1 z) (- z 1)) x) (/ (pow (- 1 z) 2) x)) (- 1 z)) x)) (/ (* (pow (- 1 z) 2) (- z 1)) (pow x 2)))) y)) (+ (/ (* (- 1 z) (- z 1)) x) (/ (pow (- 1 z) 2) x))) y))) 1) y)))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))) 1)))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (* -3 (/ z (pow y 3))) (+ (/ 1 (pow y 3)) (pow x 3)))>
#<alt (+ (* z (- (* 3 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (+ (/ 1 (pow y 3)) (pow x 3)))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 3))))) (+ (/ 1 (pow y 3)) (pow x 3)))>
#<alt (* -1 (/ (pow z 3) (pow y 3)))>
#<alt (* (pow z 3) (- (* 3 (/ 1 (* (pow y 3) z))) (/ 1 (pow y 3))))>
#<alt (* (pow z 3) (- (/ 3 (* (pow y 3) z)) (+ (/ 1 (pow y 3)) (/ 3 (* (pow y 3) (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1 (* (pow y 3) (pow z 3))) (+ (/ 3 (* (pow y 3) z)) (/ (pow x 3) (pow z 3)))) (+ (* 3 (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (pow y 3)))))>
#<alt (* -1 (/ (pow z 3) (pow y 3)))>
#<alt (* -1 (* (pow z 3) (- (/ 1 (pow y 3)) (* 3 (/ 1 (* (pow y 3) z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (* 3 (/ 1 (* (pow y 3) z)))) z)) (/ 1 (pow y 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow y 3)) (pow x 3)) z)) (* 3 (/ 1 (pow y 3)))) z)) (* 3 (/ 1 (pow y 3)))) z)) (/ 1 (pow y 3)))))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (+ (* (pow x 3) (pow y 3)) (pow (- 1 z) 3)) (pow y 3))>
#<alt (/ (+ (* (pow x 3) (pow y 3)) (pow (- 1 z) 3)) (pow y 3))>
#<alt (/ (+ (* (pow x 3) (pow y 3)) (pow (- 1 z) 3)) (pow y 3))>
#<alt (pow x 3)>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow y 3))>
#<alt (+ (* -3 (/ z (pow y 3))) (/ 1 (pow y 3)))>
#<alt (+ (* z (- (* 3 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (/ 1 (pow y 3)))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 3))))) (/ 1 (pow y 3)))>
#<alt (* -1 (/ (pow z 3) (pow y 3)))>
#<alt (* (pow z 3) (- (* 3 (/ 1 (* (pow y 3) z))) (/ 1 (pow y 3))))>
#<alt (* (pow z 3) (- (/ 3 (* (pow y 3) z)) (+ (/ 1 (pow y 3)) (/ 3 (* (pow y 3) (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1 (* (pow y 3) (pow z 3))) (/ 3 (* (pow y 3) z))) (+ (* 3 (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (pow y 3)))))>
#<alt (* -1 (/ (pow z 3) (pow y 3)))>
#<alt (* -1 (* (pow z 3) (- (/ 1 (pow y 3)) (* 3 (/ 1 (* (pow y 3) z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (* 3 (/ 1 (* (pow y 3) z)))) z)) (/ 1 (pow y 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (/ 1 (* (pow y 3) z))) z)) (* 3 (/ 1 (pow y 3)))) z)) (/ 1 (pow y 3)))))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<alt (/ (pow (- 1 z) 3) (pow y 3))>
#<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 (pow y 2)) (pow x 2)) (/ x y))>
#<alt (- (+ (* z (- (* -1 (/ (- (/ 1 y) x) y)) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))>
#<alt (- (+ (* z (- (+ (* -1 (/ (- (/ 1 y) x) y)) (/ z (pow y 2))) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))>
#<alt (- (+ (* z (- (+ (* -1 (/ (- (/ 1 y) x) y)) (/ z (pow y 2))) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (/ 1 (pow y 2))) (/ 1 (* (pow y 2) z))))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow z 2))))) (+ (/ 1 (* (pow y 2) z)) (/ x (* y (pow z 2))))))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow z 2))))) (+ (/ 1 (* (pow y 2) z)) (/ x (* y (pow z 2))))))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ x y)) z)) (/ 1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)) z)) (* 2 (/ 1 (pow y 2)))) (/ x y)) z)) (/ 1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)) z)) (* 2 (/ 1 (pow y 2)))) (/ x y)) z)) (/ 1 (pow y 2))))>
#<alt (/ (pow (- 1 z) 2) (pow y 2))>
#<alt (/ (+ (* -1 (* x (* y (- 1 z)))) (pow (- 1 z) 2)) (pow y 2))>
#<alt (/ (+ (* y (+ (* -1 (* x (- 1 z))) (* (pow x 2) y))) (pow (- 1 z) 2)) (pow y 2))>
#<alt (/ (+ (* y (+ (* -1 (* x (- 1 z))) (* (pow x 2) y))) (pow (- 1 z) 2)) (pow y 2))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ (* x (- 1 z)) y)) (pow x 2))>
#<alt (+ (* -1 (/ (* x (- 1 z)) y)) (+ (/ (pow (- 1 z) 2) (pow y 2)) (pow x 2)))>
#<alt (+ (* -1 (/ (* x (- 1 z)) y)) (+ (/ (pow (- 1 z) 2) (pow y 2)) (pow x 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ (* x (- 1 z)) y)) (pow x 2))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) y)) (* x (- 1 z))) y)) (pow x 2))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) y)) (* x (- 1 z))) y)) (pow x 2))>
#<alt (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y)>
#<alt (+ (* -1 (/ (* x (- 1 z)) y)) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))>
#<alt (+ (* x (+ x (* -1 (/ (- 1 z) y)))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))>
#<alt (+ (* x (+ x (* -1 (/ (- 1 z) y)))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 z) (* x y)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (- 1 z) (* x y))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (- 1 z) (* x y))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* (pow x 2) y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ z y)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* x y))) (/ 1 y)) (/ z y)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* x y))) (/ 1 y)) (/ z y)) x))))>
Calls

99 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
(/ (+ (* z (+ (* 1/2 (+ z (/ z y))) -1)) 1) y)
3.0ms
x
@0
(/ (+ (* x (* x x)) (/ (* (- 1 z) (* (- 1 z) (- 1 z))) (* y (* y y)))) (+ (* (/ (- 1 z) y) (- (/ (- 1 z) y) x)) (* x x)))
2.0ms
z
@0
(/ (+ (* x (* x x)) (/ (* (- 1 z) (* (- 1 z) (- 1 z))) (* y (* y y)))) (+ (* (/ (- 1 z) y) (- (/ (- 1 z) y) x)) (* x x)))
2.0ms
z
@inf
(/ (+ (* x (* x x)) (/ (* (- 1 z) (* (- 1 z) (- 1 z))) (* y (* y y)))) (+ (* (/ (- 1 z) y) (- (/ (- 1 z) y) x)) (* x x)))
2.0ms
y
@-inf
(+ (* (/ (- 1 z) y) (- (/ (- 1 z) y) x)) (* x x))

rewrite360.0ms (3.2%)

Memory
9.5MiB live, 521.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 616×lower-/.f32
4 600×lower-/.f64
3 896×lower-*.f32
3 882×lower-*.f64
2 730×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030171
058145
1251139
22257139
08151139
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 526
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 y y)
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
(+.f64 z (/.f64 z y))
(/.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)))
(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 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 z y)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x))
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) (neg.f64 x)) (neg.f64 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) (neg.f64 x)) (neg.f64 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 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.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))))
(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 y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 y) z))))
(/.f64 z (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 z) y)
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))
(/.f64 (/.f64 z #s(literal -1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)
(/.f64 (neg.f64 (/.f64 z #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
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(*.f64 (fma.f64 (/.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) y) x) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 x x))))

simplify425.0ms (3.7%)

Memory
0.4MiB live, 676.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 106×lower-fma.f64
7 106×lower-fma.f32
5 120×lower-*.f64
5 120×lower-*.f32
3 820×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05966081
118985507
271495451
081935241
Stop Event
1×iter limit
1×node limit
Counts
396 → 386
Calls
Call 1
Inputs
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(- (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) x)) (/ (pow (- 1 z) 2) x)) (pow y 2)))) (* -1 (/ (- 1 z) y)))
(- (+ x (* -1 (/ (* (+ (* -1 (/ (pow (- 1 z) 2) x)) (/ (pow (- 1 z) 2) x)) (- 1 z)) (* x (pow y 3))))) (+ (* -1 (/ (- 1 z) y)) (+ (* -1 (/ (pow (- 1 z) 2) (* x (pow y 2)))) (/ (pow (- 1 z) 2) (* x (pow y 2))))))
x
(+ x (* -1 (/ (- z 1) y)))
(+ x (* -1 (/ (- (+ z (+ (/ (* (- 1 z) (- z 1)) (* x y)) (/ (pow (- 1 z) 2) (* x y)))) 1) y)))
(+ x (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 1 z) 3) (pow x 2))) (+ (* -1 (/ (* (+ (/ (* (- 1 z) (- z 1)) x) (/ (pow (- 1 z) 2) x)) (- 1 z)) x)) (/ (* (pow (- 1 z) 2) (- z 1)) (pow x 2)))) y)) (+ (/ (* (- 1 z) (- z 1)) x) (/ (pow (- 1 z) 2) x))) y))) 1) y)))
(/ (pow (- 1 z) 3) (pow y 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow (- 1 z) 3) (* (pow x 3) (pow y 3)))) 1)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (* -3 (/ z (pow y 3))) (+ (/ 1 (pow y 3)) (pow x 3)))
(+ (* z (- (* 3 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (+ (/ 1 (pow y 3)) (pow x 3)))
(+ (* z (- (* z (+ (* -1 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 3))))) (+ (/ 1 (pow y 3)) (pow x 3)))
(* -1 (/ (pow z 3) (pow y 3)))
(* (pow z 3) (- (* 3 (/ 1 (* (pow y 3) z))) (/ 1 (pow y 3))))
(* (pow z 3) (- (/ 3 (* (pow y 3) z)) (+ (/ 1 (pow y 3)) (/ 3 (* (pow y 3) (pow z 2))))))
(* (pow z 3) (- (+ (/ 1 (* (pow y 3) (pow z 3))) (+ (/ 3 (* (pow y 3) z)) (/ (pow x 3) (pow z 3)))) (+ (* 3 (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (pow y 3)))))
(* -1 (/ (pow z 3) (pow y 3)))
(* -1 (* (pow z 3) (- (/ 1 (pow y 3)) (* 3 (/ 1 (* (pow y 3) z))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (* 3 (/ 1 (* (pow y 3) z)))) z)) (/ 1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow y 3)) (pow x 3)) z)) (* 3 (/ 1 (pow y 3)))) z)) (* 3 (/ 1 (pow y 3)))) z)) (/ 1 (pow y 3)))))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (+ (* (pow x 3) (pow y 3)) (pow (- 1 z) 3)) (pow y 3))
(/ (+ (* (pow x 3) (pow y 3)) (pow (- 1 z) 3)) (pow y 3))
(/ (+ (* (pow x 3) (pow y 3)) (pow (- 1 z) 3)) (pow y 3))
(pow x 3)
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(pow x 3)
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(+ (/ (pow (- 1 z) 3) (pow y 3)) (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow y 3))
(+ (* -3 (/ z (pow y 3))) (/ 1 (pow y 3)))
(+ (* z (- (* 3 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (/ 1 (pow y 3)))
(+ (* z (- (* z (+ (* -1 (/ z (pow y 3))) (* 3 (/ 1 (pow y 3))))) (* 3 (/ 1 (pow y 3))))) (/ 1 (pow y 3)))
(* -1 (/ (pow z 3) (pow y 3)))
(* (pow z 3) (- (* 3 (/ 1 (* (pow y 3) z))) (/ 1 (pow y 3))))
(* (pow z 3) (- (/ 3 (* (pow y 3) z)) (+ (/ 1 (pow y 3)) (/ 3 (* (pow y 3) (pow z 2))))))
(* (pow z 3) (- (+ (/ 1 (* (pow y 3) (pow z 3))) (/ 3 (* (pow y 3) z))) (+ (* 3 (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (pow y 3)))))
(* -1 (/ (pow z 3) (pow y 3)))
(* -1 (* (pow z 3) (- (/ 1 (pow y 3)) (* 3 (/ 1 (* (pow y 3) z))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (* 3 (/ 1 (* (pow y 3) z)))) z)) (/ 1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (/ 1 (* (pow y 3) z))) z)) (* 3 (/ 1 (pow y 3)))) z)) (/ 1 (pow y 3)))))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ (pow (- 1 z) 3) (pow y 3))
(/ 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 (pow y 2)) (pow x 2)) (/ x y))
(- (+ (* z (- (* -1 (/ (- (/ 1 y) x) y)) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))
(- (+ (* z (- (+ (* -1 (/ (- (/ 1 y) x) y)) (/ z (pow y 2))) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))
(- (+ (* z (- (+ (* -1 (/ (- (/ 1 y) x) y)) (/ z (pow y 2))) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))
(/ (pow z 2) (pow y 2))
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (/ 1 (pow y 2))) (/ 1 (* (pow y 2) z))))
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow z 2))))) (+ (/ 1 (* (pow y 2) z)) (/ x (* y (pow z 2))))))
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow z 2))))) (+ (/ 1 (* (pow y 2) z)) (/ x (* y (pow z 2))))))
(/ (pow z 2) (pow y 2))
(* (pow z 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ x y)) z)) (/ 1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)) z)) (* 2 (/ 1 (pow y 2)))) (/ x y)) z)) (/ 1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)) z)) (* 2 (/ 1 (pow y 2)))) (/ x y)) z)) (/ 1 (pow y 2))))
(/ (pow (- 1 z) 2) (pow y 2))
(/ (+ (* -1 (* x (* y (- 1 z)))) (pow (- 1 z) 2)) (pow y 2))
(/ (+ (* y (+ (* -1 (* x (- 1 z))) (* (pow x 2) y))) (pow (- 1 z) 2)) (pow y 2))
(/ (+ (* y (+ (* -1 (* x (- 1 z))) (* (pow x 2) y))) (pow (- 1 z) 2)) (pow y 2))
(pow x 2)
(+ (* -1 (/ (* x (- 1 z)) y)) (pow x 2))
(+ (* -1 (/ (* x (- 1 z)) y)) (+ (/ (pow (- 1 z) 2) (pow y 2)) (pow x 2)))
(+ (* -1 (/ (* x (- 1 z)) y)) (+ (/ (pow (- 1 z) 2) (pow y 2)) (pow x 2)))
(pow x 2)
(+ (* -1 (/ (* x (- 1 z)) y)) (pow x 2))
(+ (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) y)) (* x (- 1 z))) y)) (pow x 2))
(+ (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) y)) (* x (- 1 z))) y)) (pow x 2))
(/ (* (- 1 z) (- (/ 1 y) (/ z y))) y)
(+ (* -1 (/ (* x (- 1 z)) y)) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))
(+ (* x (+ x (* -1 (/ (- 1 z) y)))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))
(+ (* x (+ x (* -1 (/ (- 1 z) y)))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 z) (* x y)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (- 1 z) (* x y))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* (pow x 2) y)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (- 1 z) (* x y))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* (pow x 2) y)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ z y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* x y))) (/ 1 y)) (/ z y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* x y))) (/ 1 y)) (/ z y)) x))))
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
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(/ 1 y)
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(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(* -1 (/ z y))
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(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
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(* -1 (/ z y))
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(* -1 (/ z y))
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(* -1 (/ z y))
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(* -1 (/ z y))
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(* -1 (/ z y))
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(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
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(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
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(* -1 y)
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(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z (*.f64 y y))))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(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 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y))
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y z)))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y z)))))
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y))
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))))) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 3 (/ 1 (pow y 3))) (/ 1 (* (pow y 3) z))) z)) (* 3 (/ 1 (pow y 3)))) z)) (/ 1 (pow y 3)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))))) z)) (neg.f64 (*.f64 z (*.f64 z z))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ (pow (- 1 z) 3) (pow y 3))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y y))))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(- (+ (* z (- (* -1 (/ (- (/ 1 y) x) y)) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))
(fma.f64 z (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) x) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(- (+ (* z (- (+ (* -1 (/ (- (/ 1 y) x) y)) (/ z (pow y 2))) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))
(fma.f64 z (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) x) y) (+.f64 (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(- (+ (* z (- (+ (* -1 (/ (- (/ 1 y) x) y)) (/ z (pow y 2))) (/ 1 (pow y 2)))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ x y))
(fma.f64 z (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) x) y) (+.f64 (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/ (pow z 2) (pow y 2))
(*.f64 z (/.f64 z (*.f64 y y)))
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (/ 1 (pow y 2))) (/ 1 (* (pow y 2) z))))
(*.f64 (*.f64 z z) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 y z))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y)))))
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow z 2))))) (+ (/ 1 (* (pow y 2) z)) (/ x (* y (pow z 2))))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z)))) (+.f64 (fma.f64 x (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 z z))))))))
(* (pow z 2) (- (+ (* -1 (/ (- (/ 1 y) x) (* y z))) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow z 2))))) (+ (/ 1 (* (pow y 2) z)) (/ x (* y (pow z 2))))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z z)))) (+.f64 (fma.f64 x (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 z z))))))))
(/ (pow z 2) (pow y 2))
(*.f64 z (/.f64 z (*.f64 y y)))
(* (pow z 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ x y)) z)) (/ 1 (pow y 2))))
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 y z)))))
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)) z)) (* 2 (/ 1 (pow y 2)))) (/ x y)) z)) (/ 1 (pow y 2))))
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x y)) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)) z)) z)))
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)) z)) (* 2 (/ 1 (pow y 2)))) (/ x y)) z)) (/ 1 (pow y 2))))
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x y)) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)) z)) z)))
(/ (pow (- 1 z) 2) (pow y 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(/ (+ (* -1 (* x (* y (- 1 z)))) (pow (- 1 z) 2)) (pow y 2))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (fma.f64 x (neg.f64 z) x))) (*.f64 y y))
(/ (+ (* y (+ (* -1 (* x (- 1 z))) (* (pow x 2) y))) (pow (- 1 z) 2)) (pow y 2))
(/.f64 (fma.f64 y (-.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (neg.f64 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))
(/ (+ (* y (+ (* -1 (* x (- 1 z))) (* (pow x 2) y))) (pow (- 1 z) 2)) (pow y 2))
(/.f64 (fma.f64 y (-.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (neg.f64 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(+ (* -1 (/ (* x (- 1 z)) y)) (pow x 2))
(*.f64 x (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(+ (* -1 (/ (* x (- 1 z)) y)) (+ (/ (pow (- 1 z) 2) (pow y 2)) (pow x 2)))
(fma.f64 x (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))
(+ (* -1 (/ (* x (- 1 z)) y)) (+ (/ (pow (- 1 z) 2) (pow y 2)) (pow x 2)))
(fma.f64 x (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))
(pow x 2)
(*.f64 x x)
(+ (* -1 (/ (* x (- 1 z)) y)) (pow x 2))
(*.f64 x (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(+ (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) y)) (* x (- 1 z))) y)) (pow x 2))
(-.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 x (neg.f64 z) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) y)) y))
(+ (* -1 (/ (+ (* -1 (/ (pow (- 1 z) 2) y)) (* x (- 1 z))) y)) (pow x 2))
(-.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 x (neg.f64 z) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) y)) y))
(/ (* (- 1 z) (- (/ 1 y) (/ z y))) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(+ (* -1 (/ (* x (- 1 z)) y)) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)) (/.f64 (fma.f64 x (neg.f64 z) x) y))
(+ (* x (+ x (* -1 (/ (- 1 z) y)))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))
(fma.f64 x (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))
(+ (* x (+ x (* -1 (/ (- 1 z) y)))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) y))
(fma.f64 x (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 z) (* x y)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (- 1 z) (* x y))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* (pow x 2) y)))))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (- 1 z) (* x y))) (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* (pow x 2) y)))))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ z y)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* x y))) (/ 1 y)) (/ z y)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 y x)))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 y) (/ z y))) (* x y))) (/ 1 y)) (/ z y)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 y x)))) x)))

eval137.0ms (1.2%)

Memory
7.0MiB live, 369.6MiB allocated
Compiler

Compiled 30 460 to 2 213 computations (92.7% saved)

prune165.0ms (1.5%)

Memory
22.9MiB live, 333.5MiB allocated
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New93319952
Fresh51217
Picked325
Done022
Total94135976
Accuracy
99.9%
Counts
976 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
26.4%
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶26.3%
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
33.1%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
32.7%
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y z z) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
72.2%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
28.7%
(/.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 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
5.3%
(/.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 z (/.f64 z (*.f64 y y))))
18.7%
(/.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 x x))
27.4%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.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)))
24.6%
(/.f64 (pow.f64 (/.f64 y z) y) y)
31.3%
(/.f64 (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) y) y)
▶27.8%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
17.2%
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)))
40.5%
(/.f64 (exp.f64 (neg.f64 z)) y)
1.7%
(/.f64 z (/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
✓3.1%
(/.f64 z (neg.f64 y))
2.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))))
✓36.3%
(/.f64 #s(literal 1 binary64) y)
3.1%
(/.f64 #s(literal -1 binary64) (/.f64 y z))
72.6%
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
48.8%
(-.f64 x (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y x)) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #s(literal -1 binary64))) y))
58.7%
(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
✓83.4%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
74.3%
(+.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))
57.3%
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z y)) (*.f64 y y)))
68.9%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
70.4%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (+.f64 z #s(literal 1 binary64)))))
✓88.4%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
▶74.3%
(+.f64 x (/.f64 x (*.f64 y x)))
▶64.9%
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
44.2%
(+.f64 x (exp.f64 (-.f64 (neg.f64 (log.f64 y)) z)))
▶30.8%
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
3.1%
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
3.1%
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)
Compiler

Compiled 1 177 to 679 computations (42.3% saved)

simplify329.0ms (2.9%)

Memory
-13.6MiB live, 545.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
✓cost-diff512
(fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(+.f64 z (/.f64 z y))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
✓cost-diff0
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
✓cost-diff640
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(+.f64 x (/.f64 x (*.f64 y x)))
✓cost-diff320
(/.f64 x (*.f64 y x))
Rules
10 266×lower-fma.f32
10 256×lower-fma.f64
2 768×lower-+.f32
2 756×lower-+.f64
2 692×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033263
063261
1131259
2361251
31157249
43807249
08183239
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 x (*.f64 y x)))
x
(/.f64 x (*.f64 y x))
(*.f64 y x)
y
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
x
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 y x)
y
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(+.f64 z (/.f64 z y))
(/.f64 z y)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) y)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
#s(literal 1/2 binary64)
(fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
(neg.f64 z)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) y)
y
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
(+.f64 x (/.f64 x (*.f64 y x)))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/.f64 x (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(*.f64 x y)
y
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 y x)
(*.f64 x y)
y
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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)
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(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))
z
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(+.f64 z (/.f64 z y))
(/.f64 z y)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) y)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 z (fma.f64 z (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(fma.f64 z (fma.f64 z (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 z (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) y))
(neg.f64 z)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) y)
y
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize147.0ms (1.3%)

Memory
18.5MiB live, 215.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
✓accuracy97.4%
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
✓accuracy95.2%
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy94.1%
(fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 z (/.f64 z y))
✓accuracy100.0%
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy95.1%
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy95.7%
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
✓accuracy77.3%
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 x (/.f64 x (*.f64 y x)))
✓accuracy74.0%
(/.f64 x (*.f64 y x))
Samples
81.0ms256×0valid
Compiler

Compiled 280 to 40 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 24.0ms (39.5% of total)
ival-mult: 13.0ms (21.4% of total)
ival-add: 11.0ms (18.1% of total)
const: 9.0ms (14.8% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (0.8%)

Memory
-22.1MiB live, 54.2MiB allocated
Counts
19 → 456
Calls
Call 1
Inputs
#<alt (/.f64 x (*.f64 y x))>
#<alt (+.f64 x (/.f64 x (*.f64 y x)))>
#<alt (*.f64 y x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) z) y)>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))>
#<alt (+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))>
#<alt (*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))>
#<alt (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))>
#<alt (+.f64 z (/.f64 z y))>
#<alt (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))>
#<alt (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)>
#<alt (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 y y))>
Outputs
#<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 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 (+ 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 (* 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<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 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 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
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#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<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>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))>
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))>
#<alt (* -1/3 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)>
#<alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)>
#<alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
Calls

114 calls:

TimeVariablePointExpression
61.0ms
z
@-inf
(/ (- 1 z) (* y x))
10.0ms
y
@-inf
(+ 1/2 (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (/ 1/2 y)))
1.0ms
y
@-inf
(/ (+ (* z (+ (* z (+ 1/2 (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (/ 1/2 y)))) -1)) 1) y)
1.0ms
z
@0
(+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (/ 1/2 y))
1.0ms
y
@inf
(/ (+ (* z (+ (* z (+ 1/2 (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (/ 1/2 y)))) -1)) 1) y)

rewrite366.0ms (3.2%)

Memory
25.1MiB live, 620.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 850×lower-/.f32
4 834×lower-/.f64
3 604×lower-*.f32
3 596×lower-*.f64
3 438×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033207
063205
1316205
23112205
08467199
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 761
Calls
Call 1
Inputs
(/.f64 x (*.f64 y x))
(+.f64 x (/.f64 x (*.f64 y x)))
(*.f64 y x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
(+.f64 z (/.f64 z y))
(fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x))) (/.f64 x (*.f64 y (neg.f64 x))))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 x y)))
(/.f64 x (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x y) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 x y))))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 x)))
(/.f64 (/.f64 x y) x)
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 x))
(/.f64 (/.f64 x x) y)
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 x x)) (neg.f64 y))
(pow.f64 (/.f64 (*.f64 x y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 x x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 y)))
(+.f64 x (/.f64 x (*.f64 x y)))
(+.f64 (/.f64 x (*.f64 x y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 x (*.f64 x y)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 x (/.f64 x (*.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (/.f64 x (*.f64 x y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 x (*.f64 x y)) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 x x) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 x (*.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 x (/.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (-.f64 x (/.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 x (*.f64 x y)) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 x (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 x (*.f64 x y)) x)))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 x (*.f64 x y)) (-.f64 (/.f64 x (*.f64 x y)) x)))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x (*.f64 x y)))))
(*.f64 x y)
(*.f64 y x)
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) y) (/.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 z z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 (/.f64 y z) (*.f64 y (/.f64 y z))) (/.f64 y (*.f64 y (/.f64 y z))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y y)) (/.f64 (*.f64 y z) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (*.f64 y y))) (/.f64 (*.f64 y (neg.f64 z)) (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (neg.f64 y) (/.f64 y z))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y z))))
(-.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))) (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 z y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (neg.f64 (/.f64 z y)))
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(/.f64 (/.f64 #s(literal 1/3 binary64) y) y)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))

simplify518.0ms (4.6%)

Memory
-29.2MiB live, 790.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 416×lower-fma.f64
11 416×lower-fma.f32
4 956×lower-*.f64
4 956×lower-*.f32
3 420×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04015121
112644783
242674626
085474297
Stop Event
1×iter limit
1×node limit
Counts
456 → 446
Calls
Call 1
Inputs
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
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(/ 1 y)
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(/ 1 y)
(/ 1 y)
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(/ 1 y)
(+ x (/ 1 y))
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x
(* x (+ 1 (/ 1 (* x y))))
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(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
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(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
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(+ x (/ 1 y))
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(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
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x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
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(* -1/3 (/ z (pow y 2)))
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(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))
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(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1/3 (/ (pow z 3) (pow y 3)))
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(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
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(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
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(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
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1
(+ 1 (* -1 z))
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(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
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(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
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(/ 1 y)
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(/ 1 y)
(/ 1 y)
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-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
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(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
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(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
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(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
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(/ 1/3 (pow y 2))
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Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
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(/.f64 #s(literal 1 binary64) y)
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(/.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)
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(/.f64 #s(literal 1 binary64) y)
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(/.f64 #s(literal 1 binary64) y)
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(/.f64 #s(literal 1 binary64) y)
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(/.f64 #s(literal 1 binary64) y)
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(/.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)
(+ 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))))
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(+.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 (* 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))
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(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(fma.f64 z (fma.f64 z (-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(-.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)) (/.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 z (/.f64 z y))))) y))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(-.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)) (/.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 z (/.f64 z y))))) 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
#s(literal -1 binary64)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(*.f64 z (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/6 binary64))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(*.f64 (*.f64 z z) (+.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z)))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(*.f64 z (+.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/6 binary64)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(*.f64 z (+.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/6 binary64)))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(*.f64 z (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/6 binary64))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(*.f64 (*.f64 z z) (+.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z)))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(*.f64 z (+.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/6 binary64)))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(*.f64 z (+.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/6 binary64)))))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/.f64 (*.f64 z (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(fma.f64 z (-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 z #s(literal 1/3 binary64)) z) y)) y))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 z #s(literal 1/3 binary64)) z) y)) y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))

eval220.0ms (1.9%)

Memory
36.2MiB live, 408.5MiB allocated
Compiler

Compiled 32 674 to 3 026 computations (90.7% saved)

prune180.0ms (1.6%)

Memory
-19.0MiB live, 431.9MiB allocated
Pruning

36 alts after pruning (30 fresh and 6 done)

PrunedKeptTotal
New1 257141 271
Fresh101626
Picked325
Done044
Total1 270361 306
Accuracy
99.9%
Counts
1 306 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
66.0%
(fma.f64 (/.f64 x (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) x)
73.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x x)
71.0%
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
35.2%
(/.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)
22.1%
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
33.1%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
32.7%
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y z z) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
72.2%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
28.7%
(/.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 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
27.4%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.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)))
24.6%
(/.f64 (pow.f64 (/.f64 y z) y) y)
31.3%
(/.f64 (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) y) y)
2.6%
(/.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)
✓27.8%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
2.0%
(/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y (*.f64 y y)))
17.2%
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 x x)))
40.5%
(/.f64 (exp.f64 (neg.f64 z)) y)
✓3.1%
(/.f64 z (neg.f64 y))
✓36.3%
(/.f64 #s(literal 1 binary64) y)
3.1%
(/.f64 #s(literal -1 binary64) (/.f64 y z))
72.6%
(-.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) y))
48.8%
(-.f64 x (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y x)) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #s(literal -1 binary64))) y))
✓83.4%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
74.3%
(+.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))
61.3%
(+.f64 x (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) x))
72.5%
(+.f64 x (/.f64 (/.f64 x y) x))
✓88.4%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓74.3%
(+.f64 x (/.f64 x (*.f64 y x)))
66.4%
(+.f64 x (*.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y)))
44.3%
(+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) z)) (*.f64 (*.f64 x y) (*.f64 x y)))))
62.4%
(+.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y))))
44.2%
(+.f64 x (exp.f64 (-.f64 (neg.f64 (log.f64 y)) z)))
26.3%
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
33.1%
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
3.1%
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
Compiler

Compiled 1 578 to 618 computations (60.8% saved)

regimes124.0ms (1.1%)

Memory
5.5MiB live, 193.8MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x 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 (/.f64 x y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) 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 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z y)) (*.f64 y y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 x (*.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y)))
(+.f64 x (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y z z) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 z (/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) y) y)
(/.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)
(fma.f64 (/.f64 x (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) x)
(+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) z)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (*.f64 x x)) (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 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.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 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 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y))))
(-.f64 x (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y x)) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #s(literal -1 binary64))) y))
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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 z (/.f64 z (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.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)))
(fma.f64 x (fma.f64 (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 z x) (/.f64 #s(literal 1 binary64) (*.f64 y 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)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.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 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/.f64 (pow.f64 (/.f64 y z) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+.f64 x (exp.f64 (-.f64 (neg.f64 (log.f64 y)) z)))
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(*.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
Outputs
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Calls

5 calls:

40.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
21.0ms
y
20.0ms
z
20.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
19.0ms
x
Results
AccuracySegmentsBranch
90.7%2x
99.6%3y
93.4%2z
91.6%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
94.0%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes112.0ms (1%)

Memory
31.0MiB live, 147.7MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x 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 (/.f64 x y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) 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 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z y)) (*.f64 y y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 x (*.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y)))
(+.f64 x (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y z z) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 z (/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) y) y)
(/.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)
(fma.f64 (/.f64 x (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) x)
(+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) z)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (*.f64 x x)) (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 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.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 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 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y))))
(-.f64 x (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y x)) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #s(literal -1 binary64))) y))
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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 z (/.f64 z (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.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)))
(fma.f64 x (fma.f64 (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 z x) (/.f64 #s(literal 1 binary64) (*.f64 y 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)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.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 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
(/.f64 (exp.f64 (neg.f64 z)) y)
Outputs
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

4 calls:

35.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
35.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
24.0ms
y
15.0ms
z
Results
AccuracySegmentsBranch
85.8%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
85.0%2(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
91.5%2z
87.1%2y
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes79.0ms (0.7%)

Memory
-26.9MiB live, 61.4MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x 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 (/.f64 x y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) 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 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z y)) (*.f64 y y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 x (*.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y)))
(+.f64 x (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y z z) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(*.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 z (/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) y) y)
(/.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))) (*.f64 y y)) y)
(fma.f64 (/.f64 x (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) x)
(+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) z)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal -1/6 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (*.f64 x x)) (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 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.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 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 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y))))
(-.f64 x (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y x)) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #s(literal -1 binary64))) y))
(/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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 z (/.f64 z (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.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)))
(fma.f64 x (fma.f64 (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 z x) (/.f64 #s(literal 1 binary64) (*.f64 y 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)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.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 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
Outputs
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 (/.f64 x y) x))
Calls

2 calls:

38.0ms
z
38.0ms
x
Results
AccuracySegmentsBranch
83.4%1x
87.6%2z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x 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 (/.f64 x y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) 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 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z y)) (*.f64 y y)))
Outputs
(/.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:

7.0ms
z
Results
AccuracySegmentsBranch
87.3%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory
-3.5MiB live, 36.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x 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 (/.f64 x y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) 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 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(+.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #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

3 calls:

8.0ms
z
6.0ms
y
6.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
83.4%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
85.3%2y
85.2%2z
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
-15.6MiB live, 23.6MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x 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 (/.f64 x y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) x x)
(*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)
Outputs
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

23.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
85.2%2z
83.4%1y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) z)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

3 calls:

3.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
83.4%1x
83.4%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
83.4%1z
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes19.0ms (0.2%)

Memory
-18.8MiB live, 20.0MiB allocated
Accuracy

Total -21.6b remaining (-52.9%)

Threshold costs -21.6b (-52.9%)

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

5 calls:

12.0ms
y
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
36.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
36.3%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
36.3%1y
36.3%1x
36.3%1z
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch53.0ms (0.5%)

Memory
4.8MiB live, 45.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
3.4639287791536793e-19
3.76148303303803e-15
21.0ms
-102769331.50943011
-973.4708534023946
Samples
21.0ms272×0valid
6.0ms87×0invalid
Compiler

Compiled 359 to 271 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 5.0ms (27.2% of total)
ival-log: 5.0ms (27.2% of total)
ival-exp: 3.0ms (16.3% of total)
ival-add: 3.0ms (16.3% of total)
ival-mult: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch128.0ms (1.1%)

Memory
-12.1MiB live, 27.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-355.14658031526636
-86.77033581921584
Samples
18.0ms68×1valid
3.0ms37×0invalid
2.0ms28×0valid
0.0ms1×1exit
Compiler

Compiled 127 to 100 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 8.0ms (43.1% of total)
ival-div: 3.0ms (16.2% of total)
ival-exp: 3.0ms (16.2% of total)
ival-add: 2.0ms (10.8% of total)
adjust: 1.0ms (5.4% of total)
ival-mult: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.1219031405194965e-10
2.6861736912907303e-10
Samples
5.0ms69×0valid
3.0ms11×1valid
1.0ms14×0invalid
Compiler

Compiled 164 to 116 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 2.0ms (30.4% of total)
ival-add: 1.0ms (15.2% of total)
ival-div: 1.0ms (15.2% of total)
ival-exp: 1.0ms (15.2% of total)
ival-mult: 1.0ms (15.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch106.0ms (0.9%)

Memory
17.8MiB live, 56.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
104.0ms
-3.697036143674359e+83
-1.2485401057772155e+80
Samples
91.0ms67×1valid
5.0ms61×0valid
2.0ms33×0invalid
Compiler

Compiled 219 to 168 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-log: 83.0ms (89.6% of total)
ival-div: 3.0ms (3.2% of total)
ival-exp: 2.0ms (2.2% of total)
ival-add: 2.0ms (2.2% of total)
adjust: 1.0ms (1.1% of total)
ival-mult: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-102769331.50943011
-973.4708534023946
Compiler

Compiled 235 to 178 computations (24.3% saved)

bsearch213.0ms (1.9%)

Memory
-28.5MiB live, 50.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
210.0ms
-1.1769326966515033e+46
-3.5042694414273155e+39
Samples
196.0ms101×1valid
3.0ms49×0invalid
3.0ms43×0valid
Compiler

Compiled 190 to 142 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-div: 96.0ms (48.8% of total)
adjust: 81.0ms (41.2% of total)
ival-log: 13.0ms (6.6% of total)
ival-add: 3.0ms (1.5% of total)
ival-mult: 2.0ms (1% of total)
ival-exp: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
10×sub-neg_binary64
8×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047130
158130
267130
374130
479130
581130
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -980 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2281771080410813/633825300114114700748351602688 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 z #s(literal -350 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal 6769984589841923/38685626227668133590597632 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 (/.f64 x y) x)))
(if (<=.f64 z #s(literal -319999999999999988290174900188370374752868583208754169397771642989666768049372397568 binary64)) (/.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 -980 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 z #s(literal -3599999999999999843399289918502901645312 binary64)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
Outputs
(if (<=.f64 y #s(literal -980 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2281771080410813/633825300114114700748351602688 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -980 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 2281771080410813/633825300114114700748351602688 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 z #s(literal -350 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -350 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal 6769984589841923/38685626227668133590597632 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 (/.f64 x y) x)))
(if (<=.f64 z #s(literal -319999999999999988290174900188370374752868583208754169397771642989666768049372397568 binary64)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -319999999999999988290174900188370374752868583208754169397771642989666768049372397568 binary64)) (/.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 -980 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 -980 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)))
(if (<=.f64 z #s(literal -3599999999999999843399289918502901645312 binary64)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -3599999999999999843399289918502901645312 binary64)) (/.f64 (fma.f64 y x #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))
(/.f64 #s(literal 1 binary64) y)

soundness1.0s (9.1%)

Memory
7.2MiB live, 927.0MiB allocated
Rules
11 416×lower-fma.f64
11 416×lower-fma.f32
9 370×lower-fma.f64
9 370×lower-fma.f32
7 998×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04015121
112644783
242674626
085474297
05966081
118985507
271495451
081935241
033207
063205
1316205
23112205
08467199
05604487
117104114
256204016
082873824
06034108
118143482
260863379
082183225
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 334 to 191 computations (42.8% saved)

preprocess95.0ms (0.8%)

Memory
-11.7MiB live, 214.1MiB allocated
Compiler

Compiled 362 to 154 computations (57.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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