Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

Time bar (total: 10.0s)

analyze1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (13.9%)

Memory
4.0MiB live, 1 338.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 905.0ms
ival-exp: 360.0ms (39.8% of total)
ival-mult: 266.0ms (29.4% of total)
ival-log: 181.0ms (20% of total)
ival-add: 50.0ms (5.5% of total)
ival-sub: 40.0ms (4.4% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess241.0ms (2.4%)

Memory
3.6MiB live, 129.4MiB allocated
Algorithm
egg-herbie
Rules
928×div-sub
850×exp-sum
752×sub-neg
706×exp-prod
634×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03592
19686
225181
373677
4161977
5272177
6380277
7452577
8504577
9538277
10550477
11554577
12559377
13574677
14650777
15653177
16653177
089
1179
2368
3778
41258
51988
63688
76608
88688
910058
1010948
1111538
1213038
1313068
1413078
013078
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(exp (- (+ x (* y (log y))) z))
Outputs
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))

explain117.0ms (1.2%)

Memory
-5.2MiB live, 277.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
00-0-(log.f64 y)
00-0-y
00-0-(+.f64 x (*.f64 y (log.f64 y)))
00-0-(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
44.0ms512×0valid
Compiler

Compiled 92 to 36 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 7.0ms (32.2% of total)
ival-mult: 6.0ms (27.6% of total)
ival-exp: 4.0ms (18.4% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 2.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify45.0ms (0.5%)

Memory
20.8MiB live, 56.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
cost-diff0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
cost-diff128
(+.f64 x (*.f64 y (log.f64 y)))
Rules
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
288×*-lowering-*.f32
288×*-lowering-*.f64
266×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
11732
23631
37731
412531
519831
636831
766031
886831
9100531
10109431
11115331
12130331
13130631
14130731
0130729
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(exp (- (+ x (* y (log y))) z))
(- (+ x (* y (log y))) z)
(+ x (* y (log y)))
x
(* y (log y))
y
(log y)
z
Outputs
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
x
(* y (log y))
(*.f64 y (log.f64 y))
y
(log y)
(log.f64 y)
z

localize37.0ms (0.4%)

Memory
0.1MiB live, 74.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy100.0%
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy100.0%
(+.f64 x (*.f64 y (log.f64 y)))
accuracy99.6%
(*.f64 y (log.f64 y))
Samples
28.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 14.0ms (70.2% of total)
ival-exp: 2.0ms (10% of total)
ival-mult: 2.0ms (10% of total)
ival-sub: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory
14.6MiB live, 159.6MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#<alt (+ x (* y (log y)))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (- (+ x (* y (log y))) z)>
#<alt (* y (log y))>
Outputs
#<alt (* y (log y))>
#<alt (+ x (* y (log y)))>
#<alt (+ x (* y (log y)))>
#<alt (+ x (* y (log y)))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (log y)) x)))>
#<alt (* x (+ 1 (/ (* y (log y)) x)))>
#<alt (* x (+ 1 (/ (* y (log y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))>
#<alt x>
#<alt (+ x (* y (log y)))>
#<alt (+ x (* y (log y)))>
#<alt (+ x (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (/ x y)))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (/ x y)))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (/ x y)))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))>
#<alt (exp (- (* y (log y)) z))>
#<alt (+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))>
#<alt (+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))>
#<alt (+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (* y (log y)) (+ z (* -1 x))))>
#<alt (exp (- (* y (log y)) (+ z (* -1 x))))>
#<alt (exp (- (* y (log y)) (+ z (* -1 x))))>
#<alt (exp (- (* y (log y)) (+ z (* -1 x))))>
#<alt (exp (- x z))>
#<alt (+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))>
#<alt (+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))>
#<alt (+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (+ x (* y (log y))))>
#<alt (+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))>
#<alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))>
#<alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (- (+ x (* y (log y))) z))>
#<alt (exp (+ x (+ (* -1 z) (* y (log y)))))>
#<alt (exp (+ x (+ (* -1 z) (* y (log y)))))>
#<alt (exp (+ x (+ (* -1 z) (* y (log y)))))>
#<alt (exp (+ x (+ (* -1 z) (* y (log y)))))>
#<alt (- (* y (log y)) z)>
#<alt (- (+ x (* y (log y))) z)>
#<alt (- (+ x (* y (log y))) z)>
#<alt (- (+ x (* y (log y))) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))>
#<alt (- x z)>
#<alt (- (+ x (* y (log y))) z)>
#<alt (- (+ x (* y (log y))) z)>
#<alt (- (+ x (* y (log y))) z)>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))>
#<alt (+ x (* y (log y)))>
#<alt (+ x (+ (* -1 z) (* y (log y))))>
#<alt (+ x (+ (* -1 z) (* y (log y))))>
#<alt (+ x (+ (* -1 z) (* y (log y))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))>
#<alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))>
#<alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
Calls

27 calls:

TimeVariablePointExpression
35.0ms
y
@0
(* y (log y))
13.0ms
y
@inf
(* y (log y))
12.0ms
x
@0
(+ x (* y (log y)))
9.0ms
y
@-inf
(* y (log y))
4.0ms
y
@0
(+ x (* y (log y)))

rewrite328.0ms (3.3%)

Memory
-10.2MiB live, 588.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 714×accelerator-lowering-fma.f32
4 714×accelerator-lowering-fma.f64
4 450×*-lowering-*.f32
4 450×*-lowering-*.f64
2 382×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
14227
237126
3550726
0836224
Stop Event
iter limit
node limit
Counts
4 → 220
Calls
Call 1
Inputs
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(- (+ x (* y (log y))) z)
(* y (log y))
Outputs
(+.f64 x (*.f64 y (log.f64 y)))
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (neg.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y (log.f64 y) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (neg.f64 y) x)) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 y (log.f64 y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (log.f64 y) (neg.f64 x))))
(fma.f64 x (/.f64 x (fma.f64 (log.f64 y) (neg.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) x))))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (neg.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (fma.f64 y (log.f64 y) x) (neg.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) x) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (neg.f64 y) x))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (log.f64 y) (neg.f64 y) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) (neg.f64 y) x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (neg.f64 y) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 y) (neg.f64 y) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (*.f64 x (log.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (log.f64 y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y (log.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 6 binary64))) (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (*.f64 x (log.f64 y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 y (log.f64 y) (neg.f64 z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (-.f64 x z))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (log.f64 y)) (-.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (+.f64 x (fma.f64 y (log.f64 y) z))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) z)))))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (-.f64 (neg.f64 z) (fma.f64 y (log.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))) (-.f64 (*.f64 y (log.f64 y)) (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (+.f64 x (fma.f64 y (log.f64 y) z))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 9 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 6 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))) (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 6 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (log.f64 y) z)))) (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 4 binary64)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (log.f64 y) z)))) (fma.f64 z z (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) (-.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (fma.f64 y (log.f64 y) (neg.f64 z))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))))
(*.f64 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (log.f64 y) z))))
(*.f64 (+.f64 x (fma.f64 y (log.f64 y) z)) (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (log.f64 y) z)))))
(*.f64 (+.f64 x (fma.f64 y (log.f64 y) z)) (/.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (+.f64 x (fma.f64 y (log.f64 y) z))))
(*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 y (log.f64 y) z)))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) (-.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) x) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (log.f64 y) z))) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 y (log.f64 y) (neg.f64 z)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (fma.f64 y (log.f64 y) x)) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (/.f64 (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (+.f64 x (fma.f64 y (log.f64 y) z))) (-.f64 (*.f64 z (+.f64 x (fma.f64 y (log.f64 y) z))) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z z) (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 x (fma.f64 y (log.f64 y) z))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) #s(literal 2 binary64)) (*.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64))
(*.f64 y (log.f64 y))
(*.f64 (log.f64 y) y)

simplify331.0ms (3.3%)

Memory
-16.1MiB live, 483.5MiB allocated
Algorithm
egg-herbie
Rules
12 492×accelerator-lowering-fma.f32
12 492×accelerator-lowering-fma.f64
5 910×*-lowering-*.f32
5 910×*-lowering-*.f64
1 620×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281007
1407910
21247875
34139843
08348785
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* y (log y))
(+ x (* y (log y)))
(+ x (* y (log y)))
(+ x (* y (log y)))
x
(* x (+ 1 (/ (* y (log y)) x)))
(* x (+ 1 (/ (* y (log y)) x)))
(* x (+ 1 (/ (* y (log y)) x)))
x
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
x
(+ x (* y (log y)))
(+ x (* y (log y)))
(+ x (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(- x z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(+ x (* y (log y)))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
Outputs
(* y (log y))
(*.f64 y (log.f64 y))
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
x
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 y (log.f64 y) x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 y (log.f64 y) x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 y (log.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 y (log.f64 y) x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 y (log.f64 y) x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 y (log.f64 y) x)
x
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(fma.f64 y (log.f64 y) x)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(fma.f64 y (log.f64 y) x)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(fma.f64 y (log.f64 y) x)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(exp (- (* y (log y)) z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (+.f64 x #s(literal 1 binary64)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 y (log.f64 y) #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 y (*.f64 y (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (fma.f64 y (log.f64 y) #s(literal 1 binary64))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 y (*.f64 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 y (log.f64 y) #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (+ x (* y (log y))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (-.f64 #s(literal 1 binary64) z))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) z)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(- (* y (log y)) z)
(-.f64 (*.f64 y (log.f64 y)) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(- x z)
(-.f64 x z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 x z))
(+ x (* y (log y)))
(fma.f64 y (log.f64 y) x)
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))

eval56.0ms (0.6%)

Memory
8.9MiB live, 88.4MiB allocated
Compiler

Compiled 7 727 to 864 computations (88.8% saved)

prune39.0ms (0.4%)

Memory
-29.0MiB live, 91.8MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3244328
Fresh000
Picked101
Done000
Total3254329
Accuracy
100.0%
Counts
329 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(exp.f64 (-.f64 x z))
53.3%
(exp.f64 (*.f64 y (log.f64 y)))
52.2%
(exp.f64 (neg.f64 z))
51.6%
(exp.f64 x)
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify12.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
(exp.f64 (-.f64 x z))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 y (log.f64 y))
cost-diff6656
(exp.f64 (*.f64 y (log.f64 y)))
cost-diff0
(neg.f64 z)
cost-diff0
(exp.f64 (neg.f64 z))
cost-diff0
(exp.f64 x)
Rules
84×*-lowering-*.f32
84×*-lowering-*.f64
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
68×exp-sum
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
12328
23628
35028
46528
59028
613228
717428
823128
926328
1028528
1128728
028728
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(exp x)
x
(exp (neg z))
(neg z)
z
(exp (* y (log y)))
(* y (log y))
y
(log y)
(exp (- x z))
(- x z)
x
z
Outputs
(exp x)
(exp.f64 x)
x
(exp (neg z))
(exp.f64 (neg.f64 z))
(neg z)
(neg.f64 z)
z
(exp (* y (log y)))
(pow.f64 y y)
(* y (log y))
(*.f64 y (log.f64 y))
y
(log y)
(log.f64 y)
(exp (- x z))
(exp.f64 (-.f64 x z))
(- x z)
(-.f64 x z)
x
z

localize320.0ms (3.2%)

Memory
-4.6MiB live, 72.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(exp.f64 (-.f64 x z))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(exp.f64 (*.f64 y (log.f64 y)))
accuracy99.6%
(*.f64 y (log.f64 y))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(exp.f64 (neg.f64 z))
accuracy100.0%
(exp.f64 x)
Samples
307.0ms256×0valid
Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-exp: 291.0ms (97.6% of total)
ival-log: 3.0ms (1% of total)
ival-mult: 2.0ms (0.7% of total)
ival-sub: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
8 → 120
Calls
Call 1
Inputs
#<alt (exp x)>
#<alt (exp (neg z))>
#<alt (neg z)>
#<alt (exp (* y (log y)))>
#<alt (* y (log y))>
#<alt (log y)>
#<alt (exp (- x z))>
#<alt (- x z)>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<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>
#<alt (+ 1 (* y (log y)))>
#<alt (+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))>
#<alt (+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (exp (neg z))>
#<alt (+ (exp (neg z)) (* x (exp (neg z))))>
#<alt (+ (exp (neg z)) (* x (+ (exp (neg z)) (* 1/2 (* x (exp (neg z)))))))>
#<alt (+ (exp (neg z)) (* x (+ (exp (neg z)) (* x (+ (* 1/6 (* x (exp (neg z)))) (* 1/2 (exp (neg z))))))))>
#<alt (exp (- x z))>
#<alt (exp (- x z))>
#<alt (exp (- x z))>
#<alt (exp (- x z))>
#<alt (exp (neg (+ z (* -1 x))))>
#<alt (exp (neg (+ z (* -1 x))))>
#<alt (exp (neg (+ z (* -1 x))))>
#<alt (exp (neg (+ z (* -1 x))))>
#<alt (exp x)>
#<alt (+ (exp x) (* -1 (* z (exp x))))>
#<alt (+ (exp x) (* z (+ (* -1 (exp x)) (* 1/2 (* z (exp x))))))>
#<alt (+ (exp x) (* z (+ (* -1 (exp x)) (* z (+ (* -1/6 (* z (exp x))) (* 1/2 (exp x)))))))>
#<alt (exp (- x z))>
#<alt (exp (- x z))>
#<alt (exp (- x z))>
#<alt (exp (- x z))>
#<alt (exp (+ x (* -1 z)))>
#<alt (exp (+ x (* -1 z)))>
#<alt (exp (+ x (* -1 z)))>
#<alt (exp (+ x (* -1 z)))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
y
@0
(exp (* y (log y)))
0.0ms
x
@0
(exp (- x z))
0.0ms
z
@0
(exp (- x z))
0.0ms
x
@0
(exp x)
0.0ms
z
@0
(exp (neg z))

rewrite277.0ms (2.8%)

Memory
-7.6MiB live, 357.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 034×accelerator-lowering-fma.f32
4 034×accelerator-lowering-fma.f64
3 526×/-lowering-/.f32
3 526×/-lowering-/.f64
2 650×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01125
13623
218723
3167621
0942821
Stop Event
iter limit
node limit
Counts
8 → 367
Calls
Call 1
Inputs
(exp x)
(exp (neg z))
(neg z)
(exp (* y (log y)))
(* y (log y))
(log y)
(exp (- x z))
(- x z)
Outputs
(exp.f64 x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 z)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 z)))
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(*.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x z) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x z) (*.f64 (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z z))))

simplify309.0ms (3.1%)

Memory
21.7MiB live, 535.1MiB allocated
Algorithm
egg-herbie
Rules
10 946×accelerator-lowering-fma.f32
10 946×accelerator-lowering-fma.f64
3 524×*-lowering-*.f32
3 524×*-lowering-*.f64
2 210×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117533
1336510
2817502
32283497
46503497
08237471
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
1
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (neg z))
(+ (exp (neg z)) (* x (exp (neg z))))
(+ (exp (neg z)) (* x (+ (exp (neg z)) (* 1/2 (* x (exp (neg z)))))))
(+ (exp (neg z)) (* x (+ (exp (neg z)) (* x (+ (* 1/6 (* x (exp (neg z)))) (* 1/2 (exp (neg z))))))))
(exp (- x z))
(exp (- x z))
(exp (- x z))
(exp (- x z))
(exp (neg (+ z (* -1 x))))
(exp (neg (+ z (* -1 x))))
(exp (neg (+ z (* -1 x))))
(exp (neg (+ z (* -1 x))))
(exp x)
(+ (exp x) (* -1 (* z (exp x))))
(+ (exp x) (* z (+ (* -1 (exp x)) (* 1/2 (* z (exp x))))))
(+ (exp x) (* z (+ (* -1 (exp x)) (* z (+ (* -1/6 (* z (exp x))) (* 1/2 (exp x)))))))
(exp (- x z))
(exp (- x z))
(exp (- x z))
(exp (- x z))
(exp (+ x (* -1 z)))
(exp (+ x (* -1 z)))
(exp (+ x (* -1 z)))
(exp (+ x (* -1 z)))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
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 #s(literal 1/2 binary64) z #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
#s(literal 1 binary64)
(+ 1 (* y (log y)))
(fma.f64 y (log.f64 y) #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (log.f64 y) (fma.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 y (fma.f64 (*.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (log.f64 y)) #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(exp (neg z))
(exp.f64 (neg.f64 z))
(+ (exp (neg z)) (* x (exp (neg z))))
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) x))
(+ (exp (neg z)) (* x (+ (exp (neg z)) (* 1/2 (* x (exp (neg z)))))))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 z)))
(+ (exp (neg z)) (* x (+ (exp (neg z)) (* x (+ (* 1/6 (* x (exp (neg z)))) (* 1/2 (exp (neg z))))))))
(*.f64 (exp.f64 (neg.f64 z)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (neg (+ z (* -1 x))))
(exp.f64 (-.f64 x z))
(exp (neg (+ z (* -1 x))))
(exp.f64 (-.f64 x z))
(exp (neg (+ z (* -1 x))))
(exp.f64 (-.f64 x z))
(exp (neg (+ z (* -1 x))))
(exp.f64 (-.f64 x z))
(exp x)
(exp.f64 x)
(+ (exp x) (* -1 (* z (exp x))))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) z))
(+ (exp x) (* z (+ (* -1 (exp x)) (* 1/2 (* z (exp x))))))
(*.f64 (exp.f64 x) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (exp x) (* z (+ (* -1 (exp x)) (* z (+ (* -1/6 (* z (exp x))) (* 1/2 (exp x)))))))
(*.f64 (exp.f64 x) (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 (- x z))
(exp.f64 (-.f64 x z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(exp (+ x (* -1 z)))
(exp.f64 (-.f64 x z))
(exp (+ x (* -1 z)))
(exp.f64 (-.f64 x z))
(exp (+ x (* -1 z)))
(exp.f64 (-.f64 x z))
(exp (+ x (* -1 z)))
(exp.f64 (-.f64 x z))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval88.0ms (0.9%)

Memory
1.6MiB live, 154.2MiB allocated
Compiler

Compiled 11 264 to 1 165 computations (89.7% saved)

prune100.0ms (1%)

Memory
-9.8MiB live, 183.1MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4789487
Fresh000
Picked134
Done000
Total47912491
Accuracy
100.0%
Counts
491 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(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))
32.0%
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
30.6%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
29.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
53.3%
(pow.f64 y y)
14.0%
(-.f64 #s(literal 1 binary64) z)
14.1%
(+.f64 #s(literal 1 binary64) x)
78.1%
(exp.f64 (-.f64 x z))
52.2%
(exp.f64 (neg.f64 z))
25.4%
(exp.f64 z)
51.6%
(exp.f64 x)
13.9%
#s(literal 1 binary64)
Compiler

Compiled 164 to 126 computations (23.2% saved)

simplify113.0ms (1.1%)

Memory
15.2MiB live, 164.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(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))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
cost-diff0
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(pow.f64 y y)
Rules
2 440×accelerator-lowering-fma.f32
2 440×accelerator-lowering-fma.f64
648×*-lowering-*.f32
648×*-lowering-*.f64
462×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01860
14760
210060
316560
426960
550460
696160
7174560
8209460
9215560
10215760
11215760
0215751
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(pow y y)
y
1
(- 1 z)
1
z
(+ (* z (+ (* 1/2 z) -1)) 1)
z
(+ (* 1/2 z) -1)
1/2
-1
1
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
z
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
1
Outputs
(pow y y)
(pow.f64 y y)
y
1
#s(literal 1 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(+ (* z (+ (* 1/2 z) -1)) 1)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* 1/2 z) -1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 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))
z
(+ (* z (+ (* z -1/6) 1/2)) -1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* z -1/6) 1/2)
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)

localize72.0ms (0.7%)

Memory
19.6MiB live, 148.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(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))
accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
accuracy99.7%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
accuracy100.0%
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(pow.f64 y y)
Samples
53.0ms256×0valid
Compiler

Compiled 53 to 21 computations (60.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 10.0ms (33.7% of total)
ival-mult: 10.0ms (33.7% of total)
ival-pow: 5.0ms (16.9% of total)
const: 4.0ms (13.5% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
-29.6MiB live, 9.7MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (pow y y)>
#<alt (- 1 z)>
#<alt (+ (* z (+ (* 1/2 z) -1)) 1)>
#<alt (+ (* 1/2 z) -1)>
#<alt (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)>
#<alt (+ (* z (+ (* z -1/6) 1/2)) -1)>
#<alt (+ (* z -1/6) 1/2)>
Outputs
#<alt 1>
#<alt (+ 1 (* y (log y)))>
#<alt (+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))>
#<alt (+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y y)>
#<alt (pow y 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>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (* -1/6 (pow z 3))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
0.0ms
z
@inf
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
0.0ms
z
@inf
(+ (* z (+ (* 1/2 z) -1)) 1)
0.0ms
z
@-inf
(+ (* z (+ (* z -1/6) 1/2)) -1)
0.0ms
z
@0
(+ (* z (+ (* 1/2 z) -1)) 1)

rewrite420.0ms (4.2%)

Memory
3.2MiB live, 731.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 314×accelerator-lowering-fma.f32
6 314×accelerator-lowering-fma.f64
4 584×*-lowering-*.f32
4 584×*-lowering-*.f64
3 958×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
112347
299747
0830138
Stop Event
iter limit
node limit
Counts
7 → 407
Calls
Call 1
Inputs
(pow y y)
(- 1 z)
(+ (* z (+ (* 1/2 z) -1)) 1)
(+ (* 1/2 z) -1)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
Outputs
(exp.f64 (*.f64 y (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) (*.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) (*.f64 y #s(literal 1/2 binary64)))))
(pow.f64 y y)
(pow.f64 y (*.f64 y #s(literal 1 binary64)))
(pow.f64 y (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y y) y) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 y) (log.f64 y))
(*.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64))) (pow.f64 y (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 0 binary64) (-.f64 z #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))))
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (neg.f64 z))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z z))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z z)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z z)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 z))))
(+.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) z))
(+.f64 (neg.f64 z) (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (neg.f64 z))
(+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))
(+.f64 (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(-.f64 (/.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(-.f64 (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)
(-.f64 (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(-.f64 (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) #s(literal 0 binary64)) z)
(fma.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 z (*.f64 z #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) z))
(fma.f64 z #s(literal -1 binary64) (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) z (-.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal -1 binary64) z (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) (*.f64 z #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))

simplify343.0ms (3.4%)

Memory
-9.5MiB live, 511.9MiB allocated
Algorithm
egg-herbie
Rules
9 684×accelerator-lowering-fma.f32
9 684×accelerator-lowering-fma.f64
2 836×*-lowering-*.f32
2 836×*-lowering-*.f64
2 476×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097501
1270486
2834476
32419472
46782472
08188402
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
1
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
(pow y y)
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* 1/2 z) 1)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
-1
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(* 1/2 z)
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* 1/2 z)
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(* -1/6 (pow z 3))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 3))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
-1
(- (* 1/2 z) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
1/2
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* -1/6 z)
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (log y)))
(fma.f64 y (log.f64 y) #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (log.f64 y) (fma.f64 (*.f64 y (log.f64 y)) (*.f64 y #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 y (fma.f64 (*.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y y)
(pow y y)
(pow.f64 y 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
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* z (- 1/2 (/ 1 z)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
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 #s(literal 1/2 binary64) z #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))
(* -1/6 (pow z 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(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))
(* -1/6 (pow z 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 #s(literal 1/2 binary64) z #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))
(- (* 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))
(* -1/6 (pow z 2))
(*.f64 (*.f64 z z) #s(literal -1/6 binary64))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow z 2))
(*.f64 (*.f64 z z) #s(literal -1/6 binary64))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))

eval68.0ms (0.7%)

Memory
25.7MiB live, 178.8MiB allocated
Compiler

Compiled 11 410 to 1 265 computations (88.9% saved)

prune143.0ms (1.4%)

Memory
4.9MiB live, 240.4MiB allocated
Pruning

35 alts after pruning (27 fresh and 8 done)

PrunedKeptTotal
New46823491
Fresh044
Picked055
Done033
Total46835503
Accuracy
100.0%
Counts
503 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.7%
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
34.6%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
15.4%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
30.1%
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
30.1%
(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))
14.1%
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
13.4%
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
32.0%
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
15.4%
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
15.4%
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
30.1%
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
30.1%
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
32.0%
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
30.6%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
29.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
53.3%
(pow.f64 y y)
14.6%
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
14.9%
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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)))
17.5%
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
28.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
14.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
13.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
14.0%
(-.f64 #s(literal 1 binary64) z)
14.1%
(+.f64 #s(literal 1 binary64) x)
25.2%
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
19.3%
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
21.2%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
27.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
26.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
3.2%
(neg.f64 z)
78.1%
(exp.f64 (-.f64 x z))
52.2%
(exp.f64 (neg.f64 z))
25.4%
(exp.f64 z)
51.6%
(exp.f64 x)
13.9%
#s(literal 1 binary64)
Compiler

Compiled 1 123 to 655 computations (41.7% saved)

simplify378.0ms (3.8%)

Memory
24.2MiB live, 532.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff128
(+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))
cost-diff320
(fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))
cost-diff320
(fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64))
cost-diff0
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 z #s(literal -1/6 binary64))
cost-diff0
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff320
(fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 z (*.f64 z z))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 z z)
cost-diff0
(fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z)
cost-diff320
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
Rules
11 350×accelerator-lowering-fma.f32
11 350×accelerator-lowering-fma.f64
4 044×*-lowering-*.f32
4 044×*-lowering-*.f64
2 404×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040232
1104212
2242208
3583208
41520208
52536208
64512208
75958208
87261208
08215181
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (+ (* 1/4 (* z z)) -1) z) (/ 1 (+ (* z 1/2) 1))) 1)
(* (+ (* 1/4 (* z z)) -1) z)
(+ (* 1/4 (* z z)) -1)
1/4
(* z z)
z
-1
(/ 1 (+ (* z 1/2) 1))
1
(+ (* z 1/2) 1)
1/2
(neg z)
z
(* -1/6 (* z (* z z)))
-1/6
(* z (* z z))
z
(* z z)
(+ (* z (+ (* (* z -1/6) z) (+ (* z 1/2) -1))) 1)
z
(+ (* (* z -1/6) z) (+ (* z 1/2) -1))
(* z -1/6)
-1/6
(+ (* z 1/2) -1)
1/2
-1
1
(+ (* z (+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)) 1)
z
(+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)
(* (+ (* (* z (* z z)) -1/216) 1/8) z)
(+ (* (* z (* z z)) -1/216) 1/8)
(* z (* z z))
(* z z)
-1/216
1/8
(/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))
1
(+ 1/4 (+ (* z 1/12) (* (* z z) 1/36)))
1/4
(+ (* z 1/12) (* (* z z) 1/36))
1/12
(* (* z z) 1/36)
1/36
-1
Outputs
(+ (* (* (+ (* 1/4 (* z z)) -1) z) (/ 1 (+ (* z 1/2) 1))) 1)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(* (+ (* 1/4 (* z z)) -1) z)
(*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)))
(+ (* 1/4 (* z z)) -1)
(fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))
1/4
#s(literal 1/4 binary64)
(* z z)
(*.f64 z z)
z
-1
#s(literal -1 binary64)
(/ 1 (+ (* z 1/2) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* z 1/2) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(neg z)
(neg.f64 z)
z
(* -1/6 (* z (* z z)))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
-1/6
#s(literal -1/6 binary64)
(* z (* z z))
(*.f64 z (*.f64 z z))
z
(* z z)
(*.f64 z z)
(+ (* z (+ (* (* z -1/6) z) (+ (* z 1/2) -1))) 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))
z
(+ (* (* z -1/6) z) (+ (* z 1/2) -1))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* z -1/6)
(*.f64 z #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ (* z 1/2) -1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ (* z (+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)) 1)
(fma.f64 z (fma.f64 z (/.f64 (fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)
(fma.f64 z (/.f64 (fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(* (+ (* (* z (* z z)) -1/216) 1/8) z)
(*.f64 z (fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)))
(+ (* (* z (* z z)) -1/216) 1/8)
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))
(* z (* z z))
(*.f64 z (*.f64 z z))
(* z z)
(*.f64 z z)
-1/216
#s(literal -1/216 binary64)
1/8
#s(literal 1/8 binary64)
(/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(+ 1/4 (+ (* z 1/12) (* (* z z) 1/36)))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ (* z 1/12) (* (* z z) 1/36))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* z z) 1/36)
(*.f64 (*.f64 z z) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
-1
#s(literal -1 binary64)

localize155.0ms (1.6%)

Memory
-11.7MiB live, 351.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))
accuracy99.4%
(*.f64 (*.f64 z z) #s(literal 1/36 binary64))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))
accuracy63.6%
(fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64))
accuracy100.0%
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy99.9%
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy99.4%
(*.f64 z #s(literal -1/6 binary64))
accuracy100.0%
(*.f64 z z)
accuracy99.9%
(*.f64 z (*.f64 z z))
accuracy99.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 z z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z)
accuracy95.9%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
Samples
95.0ms255×0valid
1.0ms4valid
Compiler

Compiled 223 to 44 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 36.0ms (50.3% of total)
const: 17.0ms (23.7% of total)
ival-add: 12.0ms (16.8% of total)
ival-div: 4.0ms (5.6% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
3.6MiB live, 42.4MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (+ (* (* (+ (* 1/4 (* z z)) -1) z) (/ 1 (+ (* z 1/2) 1))) 1)>
#<alt (* (+ (* 1/4 (* z z)) -1) z)>
#<alt (+ (* 1/4 (* z z)) -1)>
#<alt (* z z)>
#<alt (neg z)>
#<alt (* -1/6 (* z (* z z)))>
#<alt (* z (* z z))>
#<alt (+ (* (* z -1/6) z) (+ (* z 1/2) -1))>
#<alt (+ (* z (+ (* (* z -1/6) z) (+ (* z 1/2) -1))) 1)>
#<alt (* z -1/6)>
#<alt (+ (* z 1/2) -1)>
#<alt (+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)>
#<alt (+ (* z 1/12) (* (* z z) 1/36))>
#<alt (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36)))>
#<alt (+ (* z (+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)) 1)>
#<alt (/ 1 (+ (* z 1/2) 1))>
#<alt (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))>
#<alt (* (* z z) 1/36)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/4 (pow z 2)) 1))>
#<alt (* z (- (* 1/4 (pow z 2)) 1))>
#<alt (* z (- (* 1/4 (pow z 2)) 1))>
#<alt (* 1/4 (pow z 3))>
#<alt (* (pow z 3) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* (pow z 3) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* (pow z 3) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* 1/4 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))>
#<alt (* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))>
#<alt (* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))>
#<alt -1>
#<alt (- (* 1/4 (pow z 2)) 1)>
#<alt (- (* 1/4 (pow z 2)) 1)>
#<alt (- (* 1/4 (pow z 2)) 1)>
#<alt (* 1/4 (pow z 2))>
#<alt (* (pow z 2) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* 1/4 (pow z 2))>
#<alt (* (pow z 2) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1/4 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- 1/4 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<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 (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (* -1/6 (pow z 3))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (* 1/12 z)>
#<alt (* z (+ 1/12 (* 1/36 z)))>
#<alt (* z (+ 1/12 (* 1/36 z)))>
#<alt (* z (+ 1/12 (* 1/36 z)))>
#<alt (* 1/36 (pow z 2))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* 1/36 (pow z 2))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/12 z))>
#<alt (+ 1/4 (* z (+ 1/12 (* 1/36 z))))>
#<alt (+ 1/4 (* z (+ 1/12 (* 1/36 z))))>
#<alt (* 1/36 (pow z 2))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))>
#<alt (* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))>
#<alt (* 1/36 (pow z 2))>
#<alt (* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))>
#<alt (* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (* -1/6 (pow z 3))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 z))>
#<alt (+ 1 (* z (- (* 1/4 z) 1/2)))>
#<alt (+ 1 (* z (- (* z (+ 1/4 (* -1/8 z))) 1/2)))>
#<alt (/ 2 z)>
#<alt (/ (- 2 (* 4 (/ 1 z))) z)>
#<alt (/ (- (+ 2 (/ 8 (pow z 2))) (* 4 (/ 1 z))) z)>
#<alt (/ (- (+ 2 (/ 8 (pow z 2))) (+ (* 4 (/ 1 z)) (* 16 (/ 1 (pow z 3))))) z)>
#<alt (/ 2 z)>
#<alt (* -1 (/ (- (* 4 (/ 1 z)) 2) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 z)) 4) z)) 2) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 z)) 8) z)) 4) z)) 2) z))>
#<alt 4>
#<alt (+ 4 (* -4/3 z))>
#<alt (+ 4 (* z (- (* 4/27 (pow z 2)) 4/3)))>
#<alt (+ 4 (* z (- (* (pow z 2) (+ 4/27 (* -4/81 z))) 4/3)))>
#<alt (/ 36 (pow z 2))>
#<alt (/ (- 36 (* 108 (/ 1 z))) (pow z 2))>
#<alt (/ (- (+ 36 (/ 972 (pow z 3))) (* 108 (/ 1 z))) (pow z 2))>
#<alt (/ (- (+ 36 (/ 972 (pow z 3))) (+ (* 108 (/ 1 z)) (* 2916 (/ 1 (pow z 4))))) (pow z 2))>
#<alt (/ 36 (pow z 2))>
#<alt (/ (- 36 (* 108 (/ 1 z))) (pow z 2))>
#<alt (/ (+ 36 (* -1 (/ (- 108 (* 972 (/ 1 (pow z 2)))) z))) (pow z 2))>
#<alt (/ (+ 36 (* -1 (/ (- (+ 108 (/ 2916 (pow z 3))) (* 972 (/ 1 (pow z 2)))) z))) (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
#<alt (* 1/36 (pow z 2))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(* (+ (* 1/4 (* z z)) -1) z)
1.0ms
z
@-inf
(+ (* (* (+ (* 1/4 (* z z)) -1) z) (/ 1 (+ (* z 1/2) 1))) 1)
1.0ms
z
@inf
(+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)
0.0ms
z
@-inf
(+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)
0.0ms
z
@inf
(+ (* (* (+ (* 1/4 (* z z)) -1) z) (/ 1 (+ (* z 1/2) 1))) 1)

rewrite534.0ms (5.4%)

Memory
-10.0MiB live, 796.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 252×accelerator-lowering-fma.f32
6 252×accelerator-lowering-fma.f64
4 464×*-lowering-*.f32
4 464×*-lowering-*.f64
4 024×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040175
1243153
22159153
08698128
Stop Event
iter limit
node limit
Counts
18 → 530
Calls
Call 1
Inputs
(+ (* (* (+ (* 1/4 (* z z)) -1) z) (/ 1 (+ (* z 1/2) 1))) 1)
(* (+ (* 1/4 (* z z)) -1) z)
(+ (* 1/4 (* z z)) -1)
(* z z)
(neg z)
(* -1/6 (* z (* z z)))
(* z (* z z))
(+ (* (* z -1/6) z) (+ (* z 1/2) -1))
(+ (* z (+ (* (* z -1/6) z) (+ (* z 1/2) -1))) 1)
(* z -1/6)
(+ (* z 1/2) -1)
(+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)
(+ (* z 1/12) (* (* z z) 1/36))
(+ 1/4 (+ (* z 1/12) (* (* z z) 1/36)))
(+ (* z (+ (* (* (+ (* (* z (* z z)) -1/216) 1/8) z) (/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))) -1)) 1)
(/ 1 (+ (* z 1/2) 1))
(/ 1 (+ 1/4 (+ (* z 1/12) (* (* z z) 1/36))))
(* (* z z) 1/36)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) z #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))) #s(literal 1/64 binary64))) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (-.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))) #s(literal 1/64 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (-.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))) (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64))))) #s(literal -1 binary64)))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(*.f64 (*.f64 z z) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 1/36 binary64)) z)

simplify407.0ms (4.1%)

Memory
-0.1MiB live, 703.7MiB allocated
Algorithm
egg-herbie
Rules
12 792×accelerator-lowering-fma.f32
12 792×accelerator-lowering-fma.f64
4 412×*-lowering-*.f32
4 412×*-lowering-*.f64
3 174×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931384
15381357
214551334
338441317
085681185
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* 1/2 z) 1)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* -1 z)
(* z (- (* 1/4 (pow z 2)) 1))
(* z (- (* 1/4 (pow z 2)) 1))
(* z (- (* 1/4 (pow z 2)) 1))
(* 1/4 (pow z 3))
(* (pow z 3) (- 1/4 (/ 1 (pow z 2))))
(* (pow z 3) (- 1/4 (/ 1 (pow z 2))))
(* (pow z 3) (- 1/4 (/ 1 (pow z 2))))
(* 1/4 (pow z 3))
(* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))
(* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))
(* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))
-1
(- (* 1/4 (pow z 2)) 1)
(- (* 1/4 (pow z 2)) 1)
(- (* 1/4 (pow z 2)) 1)
(* 1/4 (pow z 2))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(* 1/4 (pow z 2))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(* -1/6 (pow z 3))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
-1
(- (* 1/2 z) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(* -1/6 (pow z 3))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 3))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
-1
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(* 1/2 z)
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* 1/2 z)
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
-1
(- (* 1/2 z) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(* 1/12 z)
(* z (+ 1/12 (* 1/36 z)))
(* z (+ 1/12 (* 1/36 z)))
(* z (+ 1/12 (* 1/36 z)))
(* 1/36 (pow z 2))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* 1/36 (pow z 2))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
1/4
(+ 1/4 (* 1/12 z))
(+ 1/4 (* z (+ 1/12 (* 1/36 z))))
(+ 1/4 (* z (+ 1/12 (* 1/36 z))))
(* 1/36 (pow z 2))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(* 1/36 (pow z 2))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(* -1/6 (pow z 3))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 3))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
1
(+ 1 (* -1/2 z))
(+ 1 (* z (- (* 1/4 z) 1/2)))
(+ 1 (* z (- (* z (+ 1/4 (* -1/8 z))) 1/2)))
(/ 2 z)
(/ (- 2 (* 4 (/ 1 z))) z)
(/ (- (+ 2 (/ 8 (pow z 2))) (* 4 (/ 1 z))) z)
(/ (- (+ 2 (/ 8 (pow z 2))) (+ (* 4 (/ 1 z)) (* 16 (/ 1 (pow z 3))))) z)
(/ 2 z)
(* -1 (/ (- (* 4 (/ 1 z)) 2) z))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 z)) 4) z)) 2) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 z)) 8) z)) 4) z)) 2) z))
4
(+ 4 (* -4/3 z))
(+ 4 (* z (- (* 4/27 (pow z 2)) 4/3)))
(+ 4 (* z (- (* (pow z 2) (+ 4/27 (* -4/81 z))) 4/3)))
(/ 36 (pow z 2))
(/ (- 36 (* 108 (/ 1 z))) (pow z 2))
(/ (- (+ 36 (/ 972 (pow z 3))) (* 108 (/ 1 z))) (pow z 2))
(/ (- (+ 36 (/ 972 (pow z 3))) (+ (* 108 (/ 1 z)) (* 2916 (/ 1 (pow z 4))))) (pow z 2))
(/ 36 (pow z 2))
(/ (- 36 (* 108 (/ 1 z))) (pow z 2))
(/ (+ 36 (* -1 (/ (- 108 (* 972 (/ 1 (pow z 2)))) z))) (pow z 2))
(/ (+ 36 (* -1 (/ (- (+ 108 (/ 2916 (pow z 3))) (* 972 (/ 1 (pow z 2)))) z))) (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
(* 1/36 (pow z 2))
Outputs
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 (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (* 1/4 (pow z 2)) 1))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/4 (pow z 2)) 1))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/4 (pow z 2)) 1))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* 1/4 (pow z 3))
(*.f64 #s(literal 1/4 binary64) (*.f64 z (*.f64 z z)))
(* (pow z 3) (- 1/4 (/ 1 (pow z 2))))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* (pow z 3) (- 1/4 (/ 1 (pow z 2))))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* (pow z 3) (- 1/4 (/ 1 (pow z 2))))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* 1/4 (pow z 3))
(*.f64 #s(literal 1/4 binary64) (*.f64 z (*.f64 z z)))
(* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow z 3) (- (/ 1 (pow z 2)) 1/4)))
(*.f64 z (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (pow z 2)) 1)
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* 1/4 (pow z 2)) 1)
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* 1/4 (pow z 2)) 1)
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* 1/4 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 1/4 binary64))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* 1/4 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 1/4 binary64))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- 1/4 (/ 1 (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* -1 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)
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #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))
(- (* 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))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
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))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(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))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #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))
(- (* 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))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* z (+ 1/12 (* 1/36 z)))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* z (+ 1/12 (* 1/36 z)))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* z (+ 1/12 (* 1/36 z)))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/12 z))
(fma.f64 z #s(literal 1/12 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* z (+ 1/12 (* 1/36 z))))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* z (+ 1/12 (* 1/36 z))))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) (*.f64 z (/.f64 #s(literal 1/4 binary64) z)))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) (*.f64 z (/.f64 #s(literal 1/4 binary64) z)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* (pow z 2) (+ 1/36 (* 1/12 (/ 1 z))))
(*.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) (*.f64 z (/.f64 #s(literal 1/4 binary64) z)))
(* (pow z 2) (+ 1/36 (+ (/ 1/4 (pow z 2)) (* 1/12 (/ 1 z)))))
(fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal 1/12 binary64)) (*.f64 z (/.f64 #s(literal 1/4 binary64) z)))
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))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(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))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 z))
(fma.f64 z #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* z (- (* 1/4 z) 1/2)))
(fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/4 (* -1/8 z))) 1/2)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(/ (- 2 (* 4 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z)
(/ (- (+ 2 (/ 8 (pow z 2))) (* 4 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -4 binary64)) z)) z)
(/ (- (+ 2 (/ 8 (pow z 2))) (+ (* 4 (/ 1 z)) (* 16 (/ 1 (pow z 3))))) z)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal 2 binary64)) z)
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(* -1 (/ (- (* 4 (/ 1 z)) 2) z))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 z)) 4) z)) 2) z))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -4 binary64)) z)) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 z)) 8) z)) 4) z)) 2) z))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z)
4
#s(literal 4 binary64)
(+ 4 (* -4/3 z))
(fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64))
(+ 4 (* z (- (* 4/27 (pow z 2)) 4/3)))
(fma.f64 z (fma.f64 z (*.f64 z #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64))
(+ 4 (* z (- (* (pow z 2) (+ 4/27 (* -4/81 z))) 4/3)))
(fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64))
(/ 36 (pow z 2))
(/.f64 #s(literal 36 binary64) (*.f64 z z))
(/ (- 36 (* 108 (/ 1 z))) (pow z 2))
(/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z))
(/ (- (+ 36 (/ 972 (pow z 3))) (* 108 (/ 1 z))) (pow z 2))
(/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z))
(/ (- (+ 36 (/ 972 (pow z 3))) (+ (* 108 (/ 1 z)) (* 2916 (/ 1 (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (/.f64 #s(literal -2916 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))
(/ 36 (pow z 2))
(/.f64 #s(literal 36 binary64) (*.f64 z z))
(/ (- 36 (* 108 (/ 1 z))) (pow z 2))
(/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z))
(/ (+ 36 (* -1 (/ (- 108 (* 972 (/ 1 (pow z 2)))) z))) (pow z 2))
(/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z))
(/ (+ 36 (* -1 (/ (- (+ 108 (/ 2916 (pow z 3))) (* 972 (/ 1 (pow z 2)))) z))) (pow z 2))
(/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) (+.f64 #s(literal -108 binary64) (/.f64 #s(literal -2916 binary64) (*.f64 z (*.f64 z z))))) z)) (*.f64 z z))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))
(* 1/36 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/36 binary64)))

eval118.0ms (1.2%)

Memory
10.3MiB live, 277.9MiB allocated
Compiler

Compiled 23 960 to 2 160 computations (91% saved)

prune119.0ms (1.2%)

Memory
-6.7MiB live, 331.1MiB allocated
Pruning

35 alts after pruning (24 fresh and 11 done)

PrunedKeptTotal
New81214826
Fresh121022
Picked235
Done088
Total82635861
Accuracy
100.0%
Counts
861 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.7%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
31.9%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
28.6%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
17.2%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
13.1%
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
20.2%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
38.5%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
13.1%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
12.0%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
17.2%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
17.6%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
31.3%
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
30.1%
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
30.1%
(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))
32.0%
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
32.0%
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
30.6%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
29.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
53.3%
(pow.f64 y y)
28.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
14.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
14.0%
(-.f64 #s(literal 1 binary64) z)
14.1%
(+.f64 #s(literal 1 binary64) x)
26.5%
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
25.2%
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
19.3%
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
21.2%
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
27.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
26.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
3.2%
(neg.f64 z)
78.1%
(exp.f64 (-.f64 x z))
52.2%
(exp.f64 (neg.f64 z))
25.4%
(exp.f64 z)
51.6%
(exp.f64 x)
13.9%
#s(literal 1 binary64)
Compiler

Compiled 1 252 to 547 computations (56.3% saved)

regimes111.0ms (1.1%)

Memory
10.7MiB live, 201.2MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 z)
(pow.f64 y y)
(exp.f64 (neg.f64 z))
(exp.f64 (-.f64 x z))
(exp.f64 (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

17.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
17.0ms
y
16.0ms
x
16.0ms
(*.f64 y (log.f64 y))
14.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes124.0ms (1.2%)

Memory
8.7MiB live, 215.8MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 z)
(pow.f64 y y)
(exp.f64 (neg.f64 z))
(exp.f64 (-.f64 x z))
(exp.f64 (*.f64 y (log.f64 y)))
Outputs
(exp.f64 (-.f64 x z))
(pow.f64 y y)
Calls

7 calls:

23.0ms
x
21.0ms
(*.f64 y (log.f64 y))
18.0ms
z
16.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
15.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Results
AccuracySegmentsBranch
85.6%5x
91.8%2y
84.4%3z
81.5%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
81.6%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
85.0%2(+.f64 x (*.f64 y (log.f64 y)))
91.8%2(*.f64 y (log.f64 y))
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes138.0ms (1.4%)

Memory
-13.1MiB live, 184.3MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 z)
(pow.f64 y y)
(exp.f64 (neg.f64 z))
Outputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
Calls

7 calls:

35.0ms
(+.f64 x (*.f64 y (log.f64 y)))
29.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
17.0ms
x
15.0ms
(*.f64 y (log.f64 y))
14.0ms
y
Results
AccuracySegmentsBranch
77.5%5x
71.3%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
73.9%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
78.9%4z
81.4%3(+.f64 x (*.f64 y (log.f64 y)))
78.3%3y
78.3%3(*.f64 y (log.f64 y))
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes95.0ms (1%)

Memory
-4.6MiB live, 72.5MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 z)
(pow.f64 y y)
Outputs
(exp.f64 x)
(pow.f64 y y)
Calls

4 calls:

48.0ms
(*.f64 y (log.f64 y))
18.0ms
z
13.0ms
y
13.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
69.3%3z
74.7%2y
74.7%2(*.f64 y (log.f64 y))
71.7%3(+.f64 x (*.f64 y (log.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes164.0ms (1.7%)

Memory
-6.4MiB live, 114.7MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 z)
Outputs
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
Calls

7 calls:

47.0ms
z
38.0ms
x
28.0ms
(*.f64 y (log.f64 y))
13.0ms
(+.f64 x (*.f64 y (log.f64 y)))
13.0ms
y
Results
AccuracySegmentsBranch
64.5%2z
59.4%4(+.f64 x (*.f64 y (log.f64 y)))
58.3%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
59.8%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
61.7%3x
58.7%2(*.f64 y (log.f64 y))
58.7%2y
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes151.0ms (1.5%)

Memory
-5.3MiB live, 115.0MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) z)) z) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 36 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z (fma.f64 (*.f64 z z) (fma.f64 z #s(literal -4/81 binary64) #s(literal 4/27 binary64)) #s(literal -4/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -108 binary64) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) z)))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) z)) z) #s(literal -4 binary64)) z)) z) #s(literal 1 binary64))
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (/.f64 (+.f64 #s(literal 36 binary64) (/.f64 (+.f64 (/.f64 #s(literal 972 binary64) (*.f64 z z)) #s(literal -108 binary64)) z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/12 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

7 calls:

44.0ms
(*.f64 y (log.f64 y))
30.0ms
x
13.0ms
(+.f64 x (*.f64 y (log.f64 y)))
12.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
12.0ms
y
Results
AccuracySegmentsBranch
51.3%3(+.f64 x (*.f64 y (log.f64 y)))
50.6%3(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
43.0%2(*.f64 y (log.f64 y))
43.0%2y
50.7%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
56.2%3x
53.5%4z
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes9.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
52.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z #s(literal -1/6 binary64)) z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
52.0%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes115.0ms (1.2%)

Memory
-7.9MiB live, 30.7MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

5 calls:

94.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms
x
5.0ms
(+.f64 x (*.f64 y (log.f64 y)))
5.0ms
z
4.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Results
AccuracySegmentsBranch
39.6%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
41.4%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
45.7%3(+.f64 x (*.f64 y (log.f64 y)))
42.4%2z
48.8%3x
Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes5.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
46.9%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
46.9%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes88.0ms (0.9%)

Memory
-7.1MiB live, 32.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
Calls

7 calls:

68.0ms
y
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(*.f64 y (log.f64 y))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
x
Results
AccuracySegmentsBranch
38.2%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
38.2%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
32.0%1z
34.3%2y
33.7%2(*.f64 y (log.f64 y))
38.2%2(+.f64 x (*.f64 y (log.f64 y)))
38.1%2x
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes90.0ms (0.9%)

Memory
-42.0MiB live, 30.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
Calls

4 calls:

81.0ms
x
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Results
AccuracySegmentsBranch
32.3%3x
37.9%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
35.1%3(+.f64 x (*.f64 y (log.f64 y)))
37.8%3(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 z)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) z)
Outputs
(+.f64 #s(literal 1 binary64) x)
Calls

7 calls:

2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
z
Results
AccuracySegmentsBranch
14.1%1x
14.1%1(+.f64 x (*.f64 y (log.f64 y)))
14.1%1z
14.1%1(*.f64 y (log.f64 y))
14.1%1y
14.1%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
14.1%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes85.0ms (0.9%)

Memory
-27.9MiB live, 11.8MiB allocated
Accuracy

Total -7.4b remaining (-13.4%)

Threshold costs -7.4b (-13.4%)

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

7 calls:

2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(*.f64 y (log.f64 y))
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
13.9%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
13.9%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
13.9%1(+.f64 x (*.f64 y (log.f64 y)))
13.9%1x
13.9%1(*.f64 y (log.f64 y))
13.9%1y
13.9%1z
Compiler

Compiled 51 to 35 computations (31.4% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.625327936979666e+160
1.2106636567770185e+161
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.2655435621430385e+91
5.659513823508512e+92
0.0ms
-0.00015690908427301863
-1.3889627296532549e-5
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch9.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
2.418360051847178e+63
4.996128975323327e+63
Samples
5.0ms80×0valid
Compiler

Compiled 80 to 64 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 1.0ms (36.4% of total)
ival-exp: 1.0ms (36.4% of total)
ival-mult: 1.0ms (36.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-2.861583383273119e+57
-2.491226762716686e+51
Samples
9.0ms144×0valid
Compiler

Compiled 276 to 212 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (37.8% of total)
ival-sub: 1.0ms (18.9% of total)
ival-add: 1.0ms (18.9% of total)
ival-exp: 1.0ms (18.9% of total)
ival-mult: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.015518165620786e+100
5.832629240101312e+105
10.0ms
-4.0557629124549906e+34
-3.678265589675934e+33
Samples
14.0ms240×0valid
Compiler

Compiled 552 to 407 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (34.3% of total)
ival-exp: 2.0ms (22.9% of total)
ival-mult: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch69.0ms (0.7%)

Memory
-17.9MiB live, 20.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.015518165620786e+100
5.832629240101312e+105
53.0ms
-4.0557629124549906e+34
-3.678265589675934e+33
Samples
57.0ms240×0valid
Compiler

Compiled 507 to 377 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 46.0ms (88.6% of total)
ival-exp: 2.0ms (3.9% of total)
ival-mult: 2.0ms (3.9% of total)
ival-sub: 1.0ms (1.9% of total)
ival-add: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch86.0ms (0.9%)

Memory
-7.1MiB live, 31.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
3.015518165620786e+100
5.832629240101312e+105
12.0ms
-3.678265589675934e+33
-5.167274000761567e+29
Samples
74.0ms272×0valid
Compiler

Compiled 416 to 321 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-log: 61.0ms (90.8% of total)
ival-exp: 2.0ms (3% of total)
ival-mult: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
30.6MiB live, 30.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.28120774211507e+117
3.754498105455196e+121
12.0ms
-3.678265589675934e+33
-5.167274000761567e+29
Samples
15.0ms256×0valid
Compiler

Compiled 367 to 286 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (32.6% of total)
ival-exp: 2.0ms (21.8% of total)
ival-mult: 2.0ms (21.8% of total)
ival-sub: 1.0ms (10.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.6%)

Memory
-17.7MiB live, 23.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.28120774211507e+117
3.754498105455196e+121
45.0ms
-1.1252471342622941e+37
-4.528423233835941e+35
Samples
49.0ms240×0valid
Compiler

Compiled 331 to 262 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 38.0ms (88% of total)
ival-exp: 2.0ms (4.6% of total)
ival-mult: 2.0ms (4.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-add: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
16.9MiB live, 56.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
4.28120774211507e+117
3.754498105455196e+121
11.0ms
-1.1252471342622941e+37
-4.528423233835941e+35
Samples
22.0ms240×0valid
Compiler

Compiled 316 to 247 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (34.4% of total)
ival-exp: 2.0ms (22.9% of total)
ival-mult: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9998431032253136
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.952884702437823e+112
6.625106539918817e+114
0.0ms
-1.1252471342622941e+37
-9.346266178947838e+33
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify36.0ms (0.4%)

Memory
-7.9MiB live, 31.5MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099338
1116338
2120338
3121338
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -7378697629483821/73786976294838206464 binary64)) (exp.f64 x) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(if (<=.f64 y #s(literal 2449999999999999840317289160182349197603781040745476269486899200 binary64)) (exp.f64 x) (pow.f64 y y))
(if (<=.f64 z #s(literal -5799999999999999694835903154314267682716496907206656 binary64)) (fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(if (<=.f64 x #s(literal -4300000000000000284788170317365248 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3999999999999999782300923948171264 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 5900000000000000051088341918617476916104715102610300073838032799924155408040651811624053017140933951488 binary64)) (fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -520000000000000004710505381888 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -4699999999999999896425253044224 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -480000000000000029216343094909206528 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -459999999999999963435391207971225600 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #s(literal -9999999999999999538762658202121142272 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (if (<=.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z z))))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -7378697629483821/73786976294838206464 binary64)) (exp.f64 x) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(if (<=.f64 y #s(literal 2449999999999999840317289160182349197603781040745476269486899200 binary64)) (exp.f64 x) (pow.f64 y y))
(if (<=.f64 z #s(literal -5799999999999999694835903154314267682716496907206656 binary64)) (fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(if (<=.f64 z #s(literal -5799999999999999694835903154314267682716496907206656 binary64)) (fma.f64 z (fma.f64 (*.f64 z (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(if (<=.f64 x #s(literal -4300000000000000284788170317365248 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -4300000000000000284788170317365248 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) (if (<=.f64 x #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (fma.f64 z (fma.f64 (*.f64 z (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 z #s(literal -4/3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3999999999999999782300923948171264 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 5900000000000000051088341918617476916104715102610300073838032799924155408040651811624053017140933951488 binary64)) (fma.f64 z (fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) z) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3999999999999999782300923948171264 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) (if (<=.f64 x #s(literal 5900000000000000051088341918617476916104715102610300073838032799924155408040651811624053017140933951488 binary64)) (fma.f64 z (fma.f64 (*.f64 z (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -520000000000000004710505381888 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -520000000000000004710505381888 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) (if (<=.f64 x #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -4699999999999999896425253044224 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -4699999999999999896425253044224 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/6 binary64)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -480000000000000029216343094909206528 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -480000000000000029216343094909206528 binary64)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -459999999999999963435391207971225600 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -459999999999999963435391207971225600 binary64)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 37000000000000001266939617844898016381214075526515388369974353059984562611605097305754725669833927332192948753059826106368 binary64)) (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 z (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #s(literal 0 binary64)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #s(literal -9999999999999999538762658202121142272 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (if (<=.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z z))))
(if (<=.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #s(literal -9999999999999999538762658202121142272 binary64)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (if (<=.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 z z) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.6s (15.7%)

Memory
-1.2MiB live, 1 233.5MiB allocated
Rules
12 792×accelerator-lowering-fma.f32
12 792×accelerator-lowering-fma.f64
12 492×accelerator-lowering-fma.f32
12 492×accelerator-lowering-fma.f64
10 946×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01931384
15381357
214551334
338441317
085681185
01125
13623
218723
3167621
0942821
097501
1270486
2834476
32419472
46782472
08188402
01281007
1407910
21247875
34139843
08348785
01847
112347
299747
0830138
0117533
1336510
2817502
32283497
46503497
08237471
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 982 to 591 computations (39.8% saved)

preprocess165.0ms (1.7%)

Memory
-5.3MiB live, 146.8MiB allocated
Compiler

Compiled 738 to 230 computations (68.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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