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

Time bar (total: 11.3s)

analyze206.0ms (1.8%)

Memory
25.1MiB live, 339.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.7%6.2%87.4%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
20.7%18.7%71.8%0.1%0%9.4%0%9
34.5%29.6%56.2%0.1%0%14%0%10
34.5%29.6%56.2%0.1%0%14%0%11
50.5%42.1%41.3%0.1%0%16.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.0s (17.8%)

Memory
21.3MiB live, 2 422.5MiB allocated
Samples
860.0ms2 301×1valid
669.0ms5 955×0valid
106.0ms925×0invalid
3.0ms29×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 520.0ms (40.8% of total)
ival-div: 254.0ms (19.9% of total)
ival-add: 166.0ms (13% of total)
ival-mult: 148.0ms (11.6% of total)
ival-exp: 141.0ms (11.1% of total)
adjust: 35.0ms (2.7% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess223.0ms (2%)

Memory
23.3MiB live, 60.3MiB allocated
Algorithm
2×egg-herbie
Rules
1 768×div-sub
886×sub-neg
620×distribute-rgt-in
612×distribute-lft-in
598×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052143
1108115
2226113
3485113
41092113
52281111
63261111
74509111
85349111
96067111
106459111
116686111
126974111
137269111
147517111
157842111
167942111
177944111
187944111
197944111
01013
11511
21811
31811
01811
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
Call 2
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)))
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))))
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)))
(+ y (/ (exp (* x (log (/ x (+ z x))))) x))
(+ z (/ (exp (* y (log (/ y (+ x y))))) y))
(+ x (/ (exp (* z (log (/ z (+ y z))))) z))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))
(- (/ (pow (/ y (+ y z)) y) y) x)
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))
(- x (/ (pow (/ (- y z) y) y) y))
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))
(+ x (/ (pow (/ y (- y z)) y) y))
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)))
(- x (/ (pow (/ y (+ y z)) y) y))
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))))
(- (/ (pow (/ (- y z) y) y) y) x)
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)))
(- (neg x) (/ (pow (/ y (- y z)) y) y))
(+ y (/ (exp (* x (log (/ x (+ z x))))) x))
(+ y (/ (pow (/ x (+ x z)) x) x))
(+ z (/ (exp (* y (log (/ y (+ x y))))) y))
(+ z (/ (pow (/ y (+ x y)) y) y))
(+ x (/ (exp (* z (log (/ z (+ y z))))) z))
(+ x (/ (pow (/ z (+ y z)) z) z))

explain320.0ms (2.8%)

Memory
14.4MiB live, 602.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14845(2.9022289418405264e-28 6.216791094560732e+238 -5.92776735797187e-248)1(6.28953173373348e+209 2.6726695883887713e-194 2.754887647312822e+123)(log.f64 (/.f64 y (+.f64 z y)))
510-6(-4.0901869092130655e-112 1.2360301537571692e+124 4.7255975225665856e-197)(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
10-0-(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
00-0-(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
00-0-z
00-0-(/.f64 y (+.f64 z y))
00-0-(+.f64 z y)
00-0-(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 y (+.f64 z y)))sensitivity1670
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue190
↳(log.f64 (/.f64 y (+.f64 z y)))underflow45
↳(/.f64 y (+.f64 z y))underflow25
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u160
exp.f64(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))sensitivity10
Confusion
Predicted +Predicted -
+434
-14465
Precision
0.22994652406417113
Recall
0.9148936170212766
Confusion?
Predicted +Predicted MaybePredicted -
+4304
-144065
Precision?
0.22994652406417113
Recall?
0.9148936170212766
Freqs
test
numberfreq
069
1171
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
87.0ms276×1valid
54.0ms48×2valid
34.0ms188×0valid
Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-log: 77.0ms (60.8% of total)
ival-div: 15.0ms (11.8% of total)
adjust: 9.0ms (7.1% of total)
ival-exp: 9.0ms (7.1% of total)
ival-add: 9.0ms (7.1% of total)
ival-mult: 6.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.9%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify6.0ms (0.1%)

Memory
-29.0MiB live, 10.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize77.0ms (0.7%)

Memory
5.1MiB live, 204.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y (+.f64 z y))
✓accuracy99.9%
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
✓accuracy82.3%
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓accuracy47.8%
(log.f64 (/.f64 y (+.f64 z y)))
Samples
39.0ms138×1valid
14.0ms24×2valid
9.0ms94×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 24.0ms (48.6% of total)
ival-div: 6.0ms (12.2% of total)
ival-add: 6.0ms (12.2% of total)
ival-exp: 5.0ms (10.1% of total)
ival-mult: 5.0ms (10.1% of total)
adjust: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
16.5MiB live, 95.6MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (exp (* y (log (/ y (+ z y)))))>
#<alt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))>
#<alt (/ (exp (* y (log (/ y (+ z y))))) y)>
#<alt (* y (log (/ y (+ z y))))>
#<alt (log (/ y (+ z y)))>
#<alt (/ y (+ z y))>
Outputs
#<alt 1>
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))>
#<alt (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ z y)) 1))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (* y (+ (log (* -1 y)) (log (/ -1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))>
#<alt (+ (log (* -1 y)) (log (/ -1 z)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))>
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))>
Calls

39 calls:

TimeVariablePointExpression
9.0ms
x
@0
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
2.0ms
y
@inf
(exp (* y (log (/ y (+ z y)))))
2.0ms
y
@inf
(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms
y
@-inf
(exp (* y (log (/ y (+ z y)))))
2.0ms
z
@inf
(exp (* y (log (/ y (+ z y)))))

rewrite451.0ms (4%)

Memory
-28.9MiB live, 601.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 390×*-lowering-*.f32
3 390×*-lowering-*.f64
3 144×accelerator-lowering-fma.f32
3 144×accelerator-lowering-fma.f64
2 802×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

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

simplify419.0ms (3.7%)

Memory
-17.7MiB live, 898.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 370×accelerator-lowering-fma.f32
9 370×accelerator-lowering-fma.f64
5 308×*-lowering-*.f32
5 308×*-lowering-*.f64
3 480×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06034108
118143482
260863379
082183225
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
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(+ 1 (* -1 (/ z y)))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(fma.f64 y (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (*.f64 (*.f64 z z) (exp.f64 (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (-.f64 #s(literal 0 binary64) z)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 z z) (exp.f64 (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (-.f64 #s(literal 0 binary64) z))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)))) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (fma.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 z z) (exp.f64 (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (-.f64 #s(literal 0 binary64) z))))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (*.f64 (*.f64 z z) (exp.f64 (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (-.f64 #s(literal 0 binary64) z)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))))) y))) (-.f64 #s(literal 0 binary64) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 z z) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (fma.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z)))))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (fma.f64 (*.f64 z z) (*.f64 z z) (fma.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) #s(literal -1/48 binary64)) (*.f64 (*.f64 z z) (*.f64 #s(literal 1/12 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))))))))) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (* y (+ (log y) (log (/ 1 z)))))
(*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) z) (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
(fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 z z)) (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) z) (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))
(fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 z z)) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) z) (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) z) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) z)) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) z))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (/.f64 (fma.f64 y (*.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) z))) (-.f64 #s(literal 0 binary64) z))) z))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
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x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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(/ 1 y)
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(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
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(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
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x
(+ x (/ (exp (* -1 z)) y))
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x
(+ x (/ (exp (* -1 z)) y))
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eval67.0ms (0.6%)

Memory
21.9MiB live, 215.9MiB allocated
Compiler

Compiled 13 829 to 2 248 computations (83.7% saved)

prune72.0ms (0.6%)

Memory
15.8MiB live, 210.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4799488
Fresh000
Picked101
Done000
Total4809489
Accuracy
100.0%
Counts
489 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
35.8%
(/.f64 #s(literal 1 binary64) y)
▶68.9%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
▶85.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
▶59.1%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
64.9%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
68.9%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
▶86.1%
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
▶54.0%
x
Compiler

Compiled 228 to 154 computations (32.5% saved)

simplify392.0ms (3.5%)

Memory
14.8MiB live, 672.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓cost-diff128
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))
✓cost-diff192
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))
✓cost-diff256
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(-.f64 x (/.f64 z y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff704
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) z))
✓cost-diff0
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
✓cost-diff0
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
Rules
11 260×accelerator-lowering-fma.f32
11 260×accelerator-lowering-fma.f64
2 570×+-lowering-+.f64
2 570×+-lowering-+.f32
2 230×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033252
180252
2197252
3575252
42002252
55002250
67621250
08032231
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ (exp (- 0 z)) y))
x
(/ (exp (- 0 z)) y)
(exp (- 0 z))
(- 0 z)
0
z
y
x
(+ (/ 1 y) x)
(/ 1 y)
1
y
x
(+ (/ 1 y) (- x (/ z y)))
(/ 1 y)
1
y
(- x (/ z y))
x
(/ z y)
z
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
x
(/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)
(+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1)
z
(+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)
(+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
(/ 1/2 y)
1/2
y
(+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)
(- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))
0
(+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))
1/6
(+ (/ 1/2 y) (/ 1/3 (* y y)))
(/ 1/3 (* y y))
1/3
(* y y)
-1
1
Outputs
(+ x (/ (exp (- 0 z)) y))
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
x
(/ (exp (- 0 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(exp (- 0 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
y
x
(+ (/ 1 y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(+ (/ 1 y) (- x (/ z y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- x (/ z y))
(-.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
x
(/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)
(/.f64 (fma.f64 z (fma.f64 z (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1)
(fma.f64 z (fma.f64 z (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)
(fma.f64 z (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) #s(literal -1/2 binary64)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)
(fma.f64 z #s(literal -1/6 binary64) (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))
(+.f64 #s(literal -1/6 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
0
#s(literal 0 binary64)
(+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
1/6
#s(literal 1/6 binary64)
(+ (/ 1/2 y) (/ 1/3 (* y y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(/ 1/3 (* y y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
1/3
#s(literal 1/3 binary64)
(* y y)
(*.f64 y y)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)

localize125.0ms (1.1%)

Memory
-6.0MiB live, 209.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
✓accuracy98.1%
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
✓accuracy96.3%
(/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy94.7%
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 x (/.f64 z y))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) z))
✓accuracy100.0%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
Samples
83.0ms256×0valid
Compiler

Compiled 259 to 35 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-div: 27.0ms (43.2% of total)
ival-add: 13.0ms (20.8% of total)
ival-mult: 8.0ms (12.8% of total)
ival-sub: 6.0ms (9.6% of total)
const: 6.0ms (9.6% of total)
ival-exp: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (0.7%)

Memory
0.9MiB live, 69.9MiB allocated
Counts
16 → 372
Calls
Call 1
Inputs
#<alt (+ x (/ (exp (- 0 z)) y))>
#<alt (/ (exp (- 0 z)) y)>
#<alt (exp (- 0 z))>
#<alt (- 0 z)>
#<alt (+ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (- x (/ z y)))>
#<alt (- x (/ z y))>
#<alt (/ z y)>
#<alt (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))>
#<alt (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))>
#<alt (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)>
#<alt (+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))>
#<alt (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)>
#<alt (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)>
#<alt (/ 1/3 (* y y))>
Outputs
#<alt (/ (exp (neg z)) y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (- (/ 1 y) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* -1/3 (/ z (pow y 2)))>
#<alt (/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))>
#<alt (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))>
#<alt (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (/ -1/3 (pow y 2))>
#<alt (/ (- (* -1/2 y) 1/3) (pow y 2))>
#<alt (/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))>
#<alt (/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* 1/2 (/ 1 z))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* 1/2 (/ 1 z))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* 1/2 (/ 1 z))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))>
#<alt (* -1/3 (/ z (pow y 2)))>
#<alt (/ (+ (* -1/2 (* y z)) (* -1/3 z)) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z))))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z))))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* 1/3 (/ z y)) (* 1/2 z)) y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* 1/3 (/ z y)) (* 1/2 z)) y)) (* -1/6 z)))>
#<alt (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))))) (/ 1 (* y (pow z 2)))))>
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (+ (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) (pow y 2)))))>
#<alt (+ x (+ (* -1/3 (/ (pow z 3) (pow y 3))) (+ (/ 1 y) (+ (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) (pow y 2))))))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2)))))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))>
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))>
#<alt (* -1/3 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)>
#<alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)>
#<alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
Calls

93 calls:

TimeVariablePointExpression
26.0ms
z
@-inf
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
24.0ms
y
@-inf
(+ (/ 1 y) (- x (/ z y)))
4.0ms
y
@0
(+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
2.0ms
y
@-inf
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
2.0ms
x
@0
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))

rewrite405.0ms (3.6%)

Memory
0.3MiB live, 687.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 906×/-lowering-/.f32
4 906×/-lowering-/.f64
2 970×*-lowering-*.f32
2 970×*-lowering-*.f64
2 414×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033175
1271175
23107173
08599157
Stop Event
1×iter limit
1×node limit
Counts
16 → 548
Calls
Call 1
Inputs
(+ x (/ (exp (- 0 z)) y))
(/ (exp (- 0 z)) y)
(exp (- 0 z))
(- 0 z)
(+ (/ 1 y) x)
(/ 1 y)
(+ (/ 1 y) (- x (/ z y)))
(- x (/ z y))
(/ z y)
(+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
(- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))
(+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
(/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)
(+ (* z (+ (/ 1/2 y) (+ (* z (- 0 (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)
(/ 1/3 (* y y))
Outputs
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))) (/.f64 (/.f64 (exp.f64 (fma.f64 z #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))))
(-.f64 (/.f64 (/.f64 (exp.f64 (fma.f64 z #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))) (*.f64 y y)) (-.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (-.f64 #s(literal 0 binary64) z)) x)
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(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
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(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) y))

simplify487.0ms (4.3%)

Memory
34.9MiB live, 766.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 796×accelerator-lowering-fma.f32
9 796×accelerator-lowering-fma.f64
4 464×*-lowering-*.f32
4 464×*-lowering-*.f64
3 584×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04074402
112664302
241864037
082463768
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ (exp (neg z)) y)
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
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(/ (exp (neg z)) y)
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(/ (exp (neg z)) y)
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(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))
(* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))))) (/ 1 (* y (pow z 2)))))
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(* -1/3 (/ (pow z 3) (pow y 3)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
x
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (+ (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) (pow y 2)))))
(+ x (+ (* -1/3 (/ (pow z 3) (pow y 3))) (+ (/ 1 y) (+ (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) (pow y 2))))))
x
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y)))
(+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))
(* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2)))))
(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1/3 (/ (pow z 3) (pow y 3)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
Outputs
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64) x)
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64) x)
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64))) x))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64))) x))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64))) x))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (-.f64 #s(literal 0 binary64) z))) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (-.f64 #s(literal 0 binary64) z))) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (-.f64 #s(literal 0 binary64) z))) y)
x
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
x
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
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x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
x
(- (+ x (/ 1 y)) (/ z y))
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(* -1/3 (/ (pow z 3) (pow y 3)))
(/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y (*.f64 y y)))
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(/.f64 (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y)))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
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(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
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(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
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(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
(/.f64 (+.f64 #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)) (/.f64 (fma.f64 z (*.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 z z)) y))) y))) y)
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
(/.f64 (+.f64 #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)) (/.f64 (fma.f64 z (*.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 z z)) y))) y))) y)
-1
#s(literal -1 binary64)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
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(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z z)))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
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(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(*.f64 (*.f64 z z) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))) z)))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(*.f64 (*.f64 z z) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))) z)))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/.f64 (*.f64 z (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
(- (* z (+ 1/2 (* -1/6 z))) 1)
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(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
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(- (* 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))
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(fma.f64 z (-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) y))) y))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) y))) y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))

eval148.0ms (1.3%)

Memory
-34.4MiB live, 327.7MiB allocated
Compiler

Compiled 30 417 to 2 973 computations (90.2% saved)

prune108.0ms (1%)

Memory
35.6MiB live, 233.9MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New93115946
Fresh224
Picked235
Done000
Total93520955
Accuracy
100.0%
Counts
955 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.6%
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 y (*.f64 y y)))
▶75.0%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
33.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
26.1%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
2.3%
(/.f64 (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y)))
37.2%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
▶35.8%
(/.f64 #s(literal 1 binary64) y)
6.8%
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))))
▶68.6%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
▶67.9%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
✓68.9%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓85.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
58.3%
(+.f64 x (fma.f64 x (/.f64 (*.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)))
69.4%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
35.2%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
▶56.1%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
70.1%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
43.1%
(+.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y)))
8.2%
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
✓54.0%
x
Compiler

Compiled 720 to 473 computations (34.3% saved)

simplify592.0ms (5.2%)

Memory
-38.7MiB live, 537.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓cost-diff0
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓cost-diff128
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z))
✓cost-diff832
(*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z))))
✓cost-diff0
(fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
✓cost-diff704
(fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x)
✓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 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(fma.f64 y x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Rules
15 130×accelerator-lowering-fma.f32
15 130×accelerator-lowering-fma.f64
2 808×*-lowering-*.f32
2 808×*-lowering-*.f64
2 506×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044366
1121366
2327359
3890355
42493355
54934355
08153314
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
y
x
1
(/ 1 y)
1
y
(+ (/ 1 y) (+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x))
(/ 1 y)
1
y
(+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x)
(+ (* z (+ (* z -1/6) 1/2)) -1)
z
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
(/ z y)
x
(+ (/ 1 y) (+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x))
(/ 1 y)
1
y
(+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x)
z
(+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))
(/ z y)
(+ (* z -1/6) 1/2)
-1/6
1/2
(/ -1 y)
-1
x
(+ x (/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y))
x
(/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y)
(+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1)
z
(+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)
(* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))
(+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z)))
(+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y)))
-1/6
(/ (+ (* y -1/2) -1/3) (* y y))
(+ (* y -1/2) -1/3)
y
-1/2
-1/3
(* y y)
(neg (/ (+ -1/2 (/ -1/2 y)) z))
(/ (+ -1/2 (/ -1/2 y)) z)
(+ -1/2 (/ -1/2 y))
(/ -1/2 y)
-1
1
Outputs
(/ (+ (* y x) 1) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ (* y x) 1)
(fma.f64 y x #s(literal 1 binary64))
y
x
1
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ (/ 1 y) (+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x)
(+ (* 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
(+ (* 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)
(/ z y)
(/.f64 z y)
x
(+ (/ 1 y) (+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x)
z
(+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))
(fma.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1 binary64) y))
(/ z y)
(/.f64 z y)
(+ (* 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 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
x
(+ x (/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
x
(/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1)
(fma.f64 z (fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)
(fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z)))
(+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z))
(+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y)))
(+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)))
-1/6
#s(literal -1/6 binary64)
(/ (+ (* y -1/2) -1/3) (* y y))
(/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))
(+ (* y -1/2) -1/3)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64))
y
-1/2
#s(literal -1/2 binary64)
-1/3
#s(literal -1/3 binary64)
(* y y)
(*.f64 y y)
(neg (/ (+ -1/2 (/ -1/2 y)) z))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z)
(/ (+ -1/2 (/ -1/2 y)) z)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)
(+ -1/2 (/ -1/2 y))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)

localize277.0ms (2.4%)

Memory
30.2MiB live, 344.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy96.3%
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy94.8%
(+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))
✓accuracy92.0%
(*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z))))
✓accuracy68.5%
(/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
✓accuracy99.9%
(fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x)
✓accuracy99.8%
(fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
✓accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy98.5%
(fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(fma.f64 y x #s(literal 1 binary64))
✓accuracy87.9%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Samples
87.0ms256×0valid
Compiler

Compiled 342 to 46 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 17.0ms (31.1% of total)
ival-add: 15.0ms (27.4% of total)
ival-div: 14.0ms (25.6% of total)
const: 7.0ms (12.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-13.2MiB live, 62.0MiB allocated
Counts
16 → 396
Calls
Call 1
Inputs
#<alt (/ (+ (* y x) 1) y)>
#<alt (+ (* y x) 1)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x))>
#<alt (+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x)>
#<alt (+ (* z (+ (* z -1/6) 1/2)) -1)>
#<alt (+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x)>
#<alt (+ (/ 1 y) (+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x))>
#<alt (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))>
#<alt (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))>
#<alt (neg (/ (+ -1/2 (/ -1/2 y)) z))>
#<alt (+ x (/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y))>
#<alt (/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y)>
#<alt (+ (* z -1/6) 1/2)>
#<alt (/ (+ (* y -1/2) -1/3) (* y y))>
#<alt (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z)))>
Outputs
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
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#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))>
#<alt (/ (+ (* -1 (* y (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z)))))) (* -1/3 (pow z 3))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* y (+ 1 (* z (- (* -1 (* (pow z 2) (- 1/6 (* 1/2 (/ 1 z))))) 1))))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* y (+ 1 (+ (* x y) (* z (- (* -1 (* (pow z 2) (- 1/6 (* 1/2 (/ 1 z))))) 1)))))))) (pow y 3))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (+ (/ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) y) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) (pow y 2)))))>
#<alt (+ x (+ (* -1/3 (/ (pow z 3) (pow y 3))) (+ (/ 1 y) (+ (/ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) y) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) (pow y 2))))))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (/ (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z)))) y)) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (* -1 (/ (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* -1/3 (/ (pow z 3) y))) y))) y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2)))))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))>
#<alt (/ (+ (* -1 (* y (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z)))))) (* -1/3 (pow z 3))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* y (+ 1 (* z (- (* -1 (* (pow z 2) (- 1/6 (* 1/2 (/ 1 z))))) 1))))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* y (+ 1 (* z (- (* -1 (* (pow z 2) (- 1/6 (* 1/2 (/ 1 z))))) 1))))))) (pow y 3))>
#<alt (/ (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1))) y)>
#<alt (/ (+ 1 (+ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) y))) y)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) y)))) y)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) y)))) y)>
#<alt (/ (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1))) y)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (/ (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z)))) y)) y))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (* -1 (/ (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* -1/3 (/ (pow z 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (* -1 (/ (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* -1/3 (/ (pow z 3) y))) y))) y))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (/ -1/3 (pow y 2))>
#<alt (/ (- (* -1/2 y) 1/3) (pow y 2))>
#<alt (/ (- (* -1/2 y) 1/3) (pow y 2))>
#<alt (/ (- (* -1/2 y) 1/3) (pow y 2))>
#<alt (/ -1/2 y)>
#<alt (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))>
#<alt (/ -1/2 y)>
#<alt (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))>
#<alt (/ -1/3 (pow y 2))>
#<alt (/ (- (* y (- (* 1/2 (/ 1 z)) 1/2)) 1/3) (pow y 2))>
#<alt (/ (- (* y (- (+ (* 1/2 (/ 1 z)) (* y (- (* 1/2 (/ 1 z)) 1/6))) 1/2)) 1/3) (pow y 2))>
#<alt (/ (- (* y (- (+ (* 1/2 (/ 1 z)) (* y (- (* 1/2 (/ 1 z)) 1/6))) 1/2)) 1/3) (pow y 2))>
#<alt (- (* 1/2 (/ 1 z)) 1/6)>
#<alt (- (+ (* 1/2 (/ 1 z)) (/ 1/2 (* y z))) (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (- (+ (* 1/2 (/ 1 z)) (/ 1/2 (* y z))) (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (* 1/2 (/ 1 z)) (/ 1/2 (* y z))) (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))))>
#<alt (- (* 1/2 (/ 1 z)) 1/6)>
#<alt (- (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 z))) y)) (* 1/2 (/ 1 z))) 1/6)>
#<alt (- (+ (* -1 (/ (- (+ 1/2 (* 1/3 (/ 1 y))) (* 1/2 (/ 1 z))) y)) (* 1/2 (/ 1 z))) 1/6)>
#<alt (- (+ (* -1 (/ (- (+ 1/2 (* 1/3 (/ 1 y))) (* 1/2 (/ 1 z))) y)) (* 1/2 (/ 1 z))) 1/6)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) z)>
#<alt (/ (- (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1/2 (* 1/2 (/ 1 y))))) z)>
#<alt (/ (- (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1/2 (* 1/2 (/ 1 y))))) z)>
#<alt (/ (- (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1/2 (* 1/2 (/ 1 y))))) z)>
#<alt (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
#<alt (- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))>
Calls

99 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (+ (* y x) 1) y)
2.0ms
y
@0
(/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y)
2.0ms
x
@0
(+ x (/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y))
1.0ms
z
@0
(* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))
1.0ms
z
@inf
(* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))

rewrite465.0ms (4.1%)

Memory
9.0MiB live, 846.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 268×/-lowering-/.f32
4 268×/-lowering-/.f64
3 652×*-lowering-*.f32
3 652×*-lowering-*.f64
3 040×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044231
1344231
23942229
09121199
Stop Event
1×iter limit
1×node limit
Counts
16 → 633
Calls
Call 1
Inputs
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
(/ 1 y)
(+ (/ 1 y) (+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x))
(+ (* (+ (* z (+ (* z -1/6) 1/2)) -1) (/ z y)) x)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x)
(+ (/ 1 y) (+ (* z (+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))) x))
(+ (* (/ z y) (+ (* z -1/6) 1/2)) (/ -1 y))
(* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))
(neg (/ (+ -1/2 (/ -1/2 y)) z))
(+ x (/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y))
(/ (+ (* z (+ (* z (* z (+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z))))) -1)) 1) y)
(+ (* z -1/6) 1/2)
(/ (+ (* y -1/2) -1/3) (* y y))
(+ (+ -1/6 (/ (+ (* y -1/2) -1/3) (* y y))) (neg (/ (+ -1/2 (/ -1/2 y)) z)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 y (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 y x #s(literal -1 binary64))))
(pow.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal 1 binary64)) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 y (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (+.f64 #s(literal -1/216 binary64) (pow.f64 (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)) (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z))) (*.f64 #s(literal -1/6 binary64) (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))))))
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(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(literal 0 binary64) z)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)))))) (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64))
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(*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z))))

simplify521.0ms (4.6%)

Memory
2.9MiB live, 866.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 796×accelerator-lowering-fma.f32
12 796×accelerator-lowering-fma.f64
5 930×*-lowering-*.f32
5 930×*-lowering-*.f64
3 638×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04635924
114365740
247005478
083345096
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
x
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
x
(+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))
(+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))
(+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(* -1/6 (/ (pow z 3) y))
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
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(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1/3 (/ (pow z 3) (pow y 3)))
(/ (+ (* -1 (* y (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z)))))) (* -1/3 (pow z 3))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* y (+ 1 (* z (- (* -1 (* (pow z 2) (- 1/6 (* 1/2 (/ 1 z))))) 1))))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* y (+ 1 (* z (- (* -1 (* (pow z 2) (- 1/6 (* 1/2 (/ 1 z))))) 1))))))) (pow y 3))
(/ (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1))) y)
(/ (+ 1 (+ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) y))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) y)))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)) (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/2)) y)))) y)
(/ (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1))) y)
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (/ (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z)))) y)) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (* -1 (/ (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* -1/3 (/ (pow z 3) y))) y))) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6)) 1)))) (* -1 (/ (+ (* -1 (* (pow z 3) (- 1/2 (* 1/2 (/ 1 z))))) (* -1/3 (/ (pow z 3) y))) y))) y))
1/2
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* -1/6 z)
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(/ -1/3 (pow y 2))
(/ (- (* -1/2 y) 1/3) (pow y 2))
(/ (- (* -1/2 y) 1/3) (pow y 2))
(/ (- (* -1/2 y) 1/3) (pow y 2))
(/ -1/2 y)
(* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))
(* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))
(* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))
(/ -1/2 y)
(* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))
(* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))
(* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y))
(/ -1/3 (pow y 2))
(/ (- (* y (- (* 1/2 (/ 1 z)) 1/2)) 1/3) (pow y 2))
(/ (- (* y (- (+ (* 1/2 (/ 1 z)) (* y (- (* 1/2 (/ 1 z)) 1/6))) 1/2)) 1/3) (pow y 2))
(/ (- (* y (- (+ (* 1/2 (/ 1 z)) (* y (- (* 1/2 (/ 1 z)) 1/6))) 1/2)) 1/3) (pow y 2))
(- (* 1/2 (/ 1 z)) 1/6)
(- (+ (* 1/2 (/ 1 z)) (/ 1/2 (* y z))) (+ 1/6 (* 1/2 (/ 1 y))))
(- (+ (* 1/2 (/ 1 z)) (/ 1/2 (* y z))) (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))))
(- (+ (* 1/2 (/ 1 z)) (/ 1/2 (* y z))) (+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))))
(- (* 1/2 (/ 1 z)) 1/6)
(- (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 z))) y)) (* 1/2 (/ 1 z))) 1/6)
(- (+ (* -1 (/ (- (+ 1/2 (* 1/3 (/ 1 y))) (* 1/2 (/ 1 z))) y)) (* 1/2 (/ 1 z))) 1/6)
(- (+ (* -1 (/ (- (+ 1/2 (* 1/3 (/ 1 y))) (* 1/2 (/ 1 z))) y)) (* 1/2 (/ 1 z))) 1/6)
(/ (+ 1/2 (* 1/2 (/ 1 y))) z)
(/ (- (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1/2 (* 1/2 (/ 1 y))))) z)
(/ (- (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1/2 (* 1/2 (/ 1 y))))) z)
(/ (- (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1/2 (* 1/2 (/ 1 y))))) z)
(* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
(- (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
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x
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(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
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(+ x (/ 1 y))
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(+ x (/ 1 y))
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(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
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(* x (+ 1 (/ 1 (* x y))))
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x
(* x (+ 1 (/ 1 (* x y))))
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(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
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(* x y)
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(* y (+ x (/ 1 y)))
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(* y (+ x (/ 1 y)))
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(* x y)
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(* -1 (* y (- (* -1 x) (/ 1 y))))
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(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
1
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(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
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(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
x
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
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(-.f64 x (/.f64 (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) y))
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(+ x (/ 1 y))
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(+ x (+ (* -1 (/ z y)) (/ 1 y)))
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(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
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(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
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(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))))
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(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))
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x
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(+.f64 x (fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
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x
(+ x (* -1 (/ z y)))
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1/2
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eval216.0ms (1.9%)

Memory
-19.3MiB live, 315.1MiB allocated
Compiler

Compiled 39 763 to 3 207 computations (91.9% saved)

prune161.0ms (1.4%)

Memory
34.4MiB live, 272.1MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 103131 116
Fresh5712
Picked415
Done033
Total1 112241 136
Accuracy
100.0%
Counts
1 136 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.6%
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 y (*.f64 y y)))
60.2%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
31.3%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
33.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
59.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y)
▶26.1%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
43.7%
(/.f64 (*.f64 y x) y)
8.3%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
37.2%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
✓35.8%
(/.f64 #s(literal 1 binary64) y)
6.8%
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))))
▶68.6%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x))
66.6%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 (fma.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)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 z y) x))
▶68.6%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x))
68.4%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) x))
✓68.9%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
30.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y)))
✓85.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
▶69.4%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
35.2%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
▶69.4%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
64.5%
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) y) x)))
8.4%
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
✓54.0%
x
Compiler

Compiled 814 to 528 computations (35.1% saved)

simplify488.0ms (4.3%)

Memory
8.3MiB live, 603.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff64
(fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x))
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
✓cost-diff0
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff704
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x))
✓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
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓cost-diff0
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓cost-diff0
(fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓cost-diff0
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓cost-diff832
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
Rules
11 020×accelerator-lowering-fma.f32
11 020×accelerator-lowering-fma.f64
3 394×*-lowering-*.f32
3 394×*-lowering-*.f64
2 862×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045354
1108354
2235340
3489328
4991328
51805328
64329328
77344328
08304278
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y))
x
(/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y)
(+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1)
z
(+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)
(* z (+ -1/6 (/ 1/2 z)))
(+ -1/6 (/ 1/2 z))
-1/6
(/ 1/2 z)
1/2
-1
1
y
(/ (- 1 z) y)
(- 1 z)
1
z
y
(+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))
x
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(+ (* 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
y
(+ (/ 1 y) (+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x))
(/ 1 y)
1
y
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x)
z
(/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
x
(+ (/ 1 y) (+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x))
(/ 1 y)
1
y
(+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x)
(+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1)
z
(/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))
(+ (* 1/36 (* z z)) -1/4)
1/36
(* z z)
-1/4
(+ (* z -1/6) -1/2)
-1/6
-1/2
-1
(/ z y)
x
Outputs
(+ x (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
x
(/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -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 z)))) -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 z)))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ -1/6 (/ 1/2 z))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))
-1/6
#s(literal -1/6 binary64)
(/ 1/2 z)
(/.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
y
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
y
(+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
x
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* 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)
y
(+ (/ 1 y) (+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x)
z
(/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(+ (* 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)
x
(+ (/ 1 y) (+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x))
(-.f64 (fma.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) (/.f64 (+.f64 z #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x)
(fma.f64 z (/.f64 (fma.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) y) x)
(+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1)
(fma.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
z
(/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))
(/.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(+ (* 1/36 (* z z)) -1/4)
(fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
1/36
#s(literal 1/36 binary64)
(* z z)
(fma.f64 z z #s(literal 0 binary64))
-1/4
#s(literal -1/4 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)
(/ z y)
(/.f64 z y)
x

localize193.0ms (1.7%)

Memory
-40.4MiB live, 322.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))
✓accuracy99.5%
(fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64))
✓accuracy98.5%
(fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x)
✓accuracy84.4%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
✓accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x)
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy94.0%
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
✓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))
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy96.2%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓accuracy99.9%
(fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64))
✓accuracy99.6%
(*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
✓accuracy96.2%
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
Samples
82.0ms256×0valid
Compiler

Compiled 297 to 47 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 16.0ms (28.3% of total)
ival-add: 16.0ms (28.3% of total)
ival-mult: 16.0ms (28.3% of total)
const: 7.0ms (12.4% of total)
ival-sub: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
36.9MiB live, 75.2MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#<alt (* z (+ -1/6 (/ 1/2 z)))>
#<alt (+ x (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y))>
#<alt (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y)>
#<alt (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1)>
#<alt (/ (- 1 z) y)>
#<alt (- 1 z)>
#<alt (+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))>
#<alt (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)>
#<alt (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)>
#<alt (+ (* z (+ (* z -1/6) 1/2)) -1)>
#<alt (+ (/ 1 y) (+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x))>
#<alt (/ 1 y)>
#<alt (+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x)>
#<alt (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)>
#<alt (+ (/ 1 y) (+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x))>
#<alt (+ (* 1/36 (* z z)) -1/4)>
#<alt (+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x)>
#<alt (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)>
#<alt (+ (* z -1/6) 1/2)>
#<alt (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))>
#<alt (+ (* z -1/6) -1/2)>
Outputs
#<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))>
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#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (+ 1 (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)))) y)>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) 1) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)) x)) 1)))>
#<alt -1/4>
#<alt (- (* 1/36 (pow z 2)) 1/4)>
#<alt (- (* 1/36 (pow z 2)) 1/4)>
#<alt (- (* 1/36 (pow z 2)) 1/4)>
#<alt (* 1/36 (pow z 2))>
#<alt (* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* 1/36 (pow z 2))>
#<alt (* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* z (- (* 1/2 (/ z y)) (/ 1 y))))>
#<alt (+ x (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ x (pow z 3))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)>
#<alt (/ (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)>
#<alt (/ (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)>
#<alt (/ (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)>
#<alt x>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt x>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y)>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt (+ x (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y))))>
#<alt (* x (+ 1 (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y))))>
#<alt (* x (+ 1 (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)) (* x y))) 1)))>
#<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)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt -1/2>
#<alt (- (* -1/6 z) 1/2)>
#<alt (- (* -1/6 z) 1/2)>
#<alt (- (* -1/6 z) 1/2)>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (+ 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1/6 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

111 calls:

TimeVariablePointExpression
10.0ms
z
@-inf
(+ x (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y))
2.0ms
y
@inf
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
1.0ms
y
@0
(+ (/ 1 y) (+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x))
1.0ms
y
@0
(/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y)
1.0ms
x
@0
(+ x (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y))

rewrite425.0ms (3.8%)

Memory
14.4MiB live, 756.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 330×*-lowering-*.f32
4 330×*-lowering-*.f64
3 010×accelerator-lowering-fma.f32
3 010×accelerator-lowering-fma.f64
2 682×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045243
1333231
23713225
09022184
Stop Event
1×iter limit
1×node limit
Counts
21 → 713
Calls
Call 1
Inputs
(* z (+ -1/6 (/ 1/2 z)))
(+ x (/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y))
(/ (+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1) y)
(+ (* z (+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)) 1)
(/ (- 1 z) y)
(- 1 z)
(+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (/ 1 y) (+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x))
(/ 1 y)
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) x)
(/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)
(+ (/ 1 y) (+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x))
(+ (* 1/36 (* z z)) -1/4)
(+ (* (+ (* z (/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))) -1) (/ z y)) x)
(+ (* z (* z (+ -1/6 (/ 1/2 z)))) -1)
(+ (* z -1/6) 1/2)
(/ (+ (* 1/36 (* z z)) -1/4) (+ (* z -1/6) -1/2))
(+ (* z -1/6) -1/2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))
(+.f64 (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 z #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 z (*.f64 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))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(neg.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal 1/36 binary64))) (*.f64 z #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 z z) #s(literal -1/144 binary64))))))
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 z z) #s(literal -1/144 binary64)))) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z))) #s(literal -1/8 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 z (+.f64 #s(literal -1/216 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 z z)))) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal 1/36 binary64))) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z))) #s(literal 1/8 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal -1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 z (*.f64 z #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))
(pow.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 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 (fma.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))))

simplify469.0ms (4.1%)

Memory
-8.1MiB live, 801.1MiB allocated
Algorithm
1×egg-herbie
Rules
6 916×accelerator-lowering-fma.f32
6 916×accelerator-lowering-fma.f64
3 854×*-lowering-*.f32
3 854×*-lowering-*.f64
3 130×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02736107
17795818
224655536
365355414
080934842
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
1/2
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(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
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(* -1 (* x (- (* -1 (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y))) 1)))
(/ -1 y)
(- (* 1/2 (/ z y)) (/ 1 y))
(- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(* -1/6 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
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(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (+ 1 (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)
(/ (+ 1 (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1)))) y)
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(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(* -1/6 (/ (pow z 3) y))
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(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
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(- (* 1/36 (pow z 2)) 1/4)
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(* (pow z 2) (- 1/36 (* 1/4 (/ 1 (pow z 2)))))
(* 1/36 (pow z 2))
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(/ (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)
(/ (+ (* x y) (* z (- (/ (* z (- (* 1/36 (pow z 2)) 1/4)) (- (* -1/6 z) 1/2)) 1))) y)
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(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
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(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
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(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
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-1/2
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(- (* -1/6 z) 1/2)
(- (* -1/6 z) 1/2)
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Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 z))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
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(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(* -1/6 z)
(*.f64 #s(literal -1/6 binary64) z)
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(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(* -1/6 z)
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(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
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eval172.0ms (1.5%)

Memory
-5.4MiB live, 389.6MiB allocated
Compiler

Compiled 39 360 to 2 155 computations (94.5% saved)

prune185.0ms (1.6%)

Memory
-16.5MiB live, 222.6MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 270121 282
Fresh31215
Picked325
Done134
Total1 277291 306
Accuracy
100.0%
Counts
1 306 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.6%
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 y (*.f64 y y)))
60.2%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
31.3%
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
33.7%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
59.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y)
35.2%
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (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 y y)) (*.f64 x x)) (-.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y) x))
✓26.1%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
43.7%
(/.f64 (*.f64 y x) y)
8.3%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
37.2%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
26.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
✓35.8%
(/.f64 #s(literal 1 binary64) y)
26.1%
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
6.8%
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))))
68.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/6 binary64) z)) #s(literal -1 binary64)) (/.f64 z y) x))
64.9%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 z y) x))
68.4%
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) x))
30.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y)))
✓85.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
35.2%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓69.4%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
66.6%
(+.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z 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)) y))
65.7%
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (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))) y))
45.4%
(+.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z)) y))
45.2%
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
69.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
6.7%
(*.f64 z (*.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)))
64.0%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x))))
✓54.0%
x
Compiler

Compiled 1 400 to 563 computations (59.8% saved)

regimes73.0ms (0.6%)

Memory
34.7MiB live, 148.4MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x))))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y)
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) y) x)))
(+.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/6 binary64) z)) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z 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)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))))
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 y (*.f64 y y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 (fma.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)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 z y) x))
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (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))) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 x (fma.f64 x (/.f64 (*.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (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 y y)) (*.f64 x x)) (-.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y) x))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
Calls

5 calls:

15.0ms
z
15.0ms
x
14.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
13.0ms
y
13.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
89.1%2x
99.7%3y
90.4%2z
90.9%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
95.5%5(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes56.0ms (0.5%)

Memory
-5.8MiB live, 114.7MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x))))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y)
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) y) x)))
(+.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/6 binary64) z)) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z 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)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))))
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 y (*.f64 y y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 (fma.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)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 z y) x))
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (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))) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 x (fma.f64 x (/.f64 (*.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (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 y y)) (*.f64 x x)) (-.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y) x))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
Outputs
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

4 calls:

15.0ms
y
13.0ms
z
13.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
12.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
89.7%2z
85.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
85.3%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
87.6%2y
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes34.0ms (0.3%)

Memory
-22.1MiB live, 70.4MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) y)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x))))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y)
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) y) x)))
(+.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/6 binary64) z)) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 x (/.f64 (fma.f64 z (/.f64 (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z 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)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (/.f64 (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))))
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 z #s(literal -1/3 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 y (*.f64 y y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 (fma.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)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 z y) x))
(+.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (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))) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (*.f64 z (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z (*.f64 z #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 z y) x))
(+.f64 x (fma.f64 x (/.f64 (*.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (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 y y)) (*.f64 x x)) (-.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y) x))
Outputs
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

17.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
85.3%1x
87.7%2z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
Outputs
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

4.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
87.6%2y
85.3%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory
-10.4MiB live, 28.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

3 calls:

4.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
3.0ms
y
3.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
85.3%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
85.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
85.3%1y
Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes10.0ms (0.1%)

Memory
-17.6MiB live, 20.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
Outputs
x
(/.f64 #s(literal 1 binary64) y)
x
Calls

5 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
67.7%3x
66.7%3y
60.0%4z
58.2%3(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
63.6%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
54.0%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
54.0%1z
54.0%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
54.0%1y
54.0%1x
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch36.0ms (0.3%)

Memory
-11.6MiB live, 66.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
6.0ms
0.018662700328994565
6.579263322061377
23.0ms
-2.224466790368168e+22
-2.433024680992194e+20
Samples
11.0ms45×1valid
9.0ms115×0valid
3.0ms38×0invalid
Compiler

Compiled 229 to 176 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 5.0ms (33.1% of total)
ival-div: 3.0ms (19.9% of total)
ival-add: 2.0ms (13.3% of total)
ival-exp: 2.0ms (13.3% of total)
adjust: 1.0ms (6.6% of total)
ival-mult: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
36.6MiB live, 73.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
-144293265520.7556
-28008360.942051716
Samples
25.0ms90×1valid
4.0ms34×0invalid
3.0ms38×0valid
Compiler

Compiled 171 to 136 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log: 11.0ms (44.7% of total)
ival-div: 4.0ms (16.3% of total)
ival-exp: 4.0ms (16.3% of total)
ival-add: 3.0ms (12.2% of total)
ival-mult: 2.0ms (8.1% of total)
adjust: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory
-6.4MiB live, 109.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
-4.072610953348001e+135
-9.606554736705126e+131
Samples
24.0ms67×1valid
7.0ms46×0invalid
5.0ms61×0valid
Compiler

Compiled 195 to 144 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log: 11.0ms (43.4% of total)
ival-add: 6.0ms (23.7% of total)
ival-div: 3.0ms (11.8% of total)
ival-exp: 2.0ms (7.9% of total)
ival-mult: 2.0ms (7.9% of total)
adjust: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
11.2MiB live, 50.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-2.224466790368168e+22
-2.433024680992194e+20
Samples
7.0ms33×1valid
6.0ms79×0valid
4.0ms40×0invalid
Compiler

Compiled 187 to 142 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 4.0ms (32.4% of total)
ival-div: 3.0ms (24.3% of total)
ival-add: 2.0ms (16.2% of total)
ival-exp: 1.0ms (8.1% of total)
ival-mult: 1.0ms (8.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch91.0ms (0.8%)

Memory
-24.4MiB live, 94.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.2138864101680982e-71
1.0803902257978448e-67
65.0ms
-5.801742704063977e-159
-3.8121013405422264e-166
Samples
47.0ms79×1valid
30.0ms193×0valid
Compiler

Compiled 223 to 186 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 27.0ms (50.2% of total)
ival-log: 14.0ms (26% of total)
ival-div: 5.0ms (9.3% of total)
ival-add: 3.0ms (5.6% of total)
ival-mult: 2.0ms (3.7% of total)
adjust: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
6×*-commutative_binary64
4×if-if-or-not_binary32
2×sub0-neg_binary64
2×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192
15792
25992
36092
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -250000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) (if (<=.f64 y #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))))
(if (<=.f64 z #s(literal -28500000 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -980000000000000063512667455679892783006310457247084615091130639643737637657147507289150134861678263964460117100558162154685175169024 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -250000000000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 x #s(literal -2937889440858125/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112 binary64)) x (if (<=.f64 x #s(literal 5099505842092539/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x
Outputs
(if (<=.f64 y #s(literal -250000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) (if (<=.f64 y #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))))
(if (<=.f64 y #s(literal -250000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)) (if (<=.f64 y #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))))
(if (<=.f64 z #s(literal -28500000 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -28500000 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal -980000000000000063512667455679892783006310457247084615091130639643737637657147507289150134861678263964460117100558162154685175169024 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -980000000000000063512667455679892783006310457247084615091130639643737637657147507289150134861678263964460117100558162154685175169024 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -250000000000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -250000000000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -2937889440858125/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112 binary64)) x (if (<=.f64 x #s(literal 5099505842092539/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x

soundness633.0ms (5.6%)

Memory
3.9MiB live, 636.7MiB allocated
Rules
12 796×accelerator-lowering-fma.f32
12 796×accelerator-lowering-fma.f64
9 796×accelerator-lowering-fma.f32
9 796×accelerator-lowering-fma.f64
9 370×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04635924
114365740
247005478
083345096
04074402
112664302
241864037
082463768
06034108
118143482
260863379
082183225
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 248 to 147 computations (40.7% saved)

preprocess372.0ms (3.3%)

Memory
-140.5MiB live, 233.6MiB allocated
Compiler

Compiled 304 to 142 computations (53.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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