Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 9.8s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (13.2%)

Results
790.0ms8254×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 460.0ms
ival-log: 126.0ms (27.4% of total)
ival-mult: 121.0ms (26.3% of total)
ival-add: 105.0ms (22.8% of total)
ival-sub: 92.0ms (20% of total)
const: 13.0ms (2.8% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess188.0ms (1.9%)

Algorithm
egg-herbie
Rules
1948×fnmadd-define
1774×fmsub-define
1560×fmm-def
1522×fma-lowering-fma.f32
1522×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041131
1125119
2551111
32802111
47419111
01012
12411
28411
335510
4170310
5465910
0826210
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
Outputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Call 2
Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z)
(- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z)
(- (+ (- x (* (+ y 1/2) (log y))) y) (neg z))
(neg (- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z))
(neg (- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z))
(neg (- (+ (- x (* (+ y 1/2) (log y))) y) (neg z)))
(- (+ (- y (* (+ x 1/2) (log x))) x) z)
(- (+ (- z (* (+ y 1/2) (log y))) y) x)
(- (+ (- x (* (+ z 1/2) (log z))) z) y)
Outputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ x (- y (fma (+ y 1/2) (log y) z)))
(- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z)
(- (+ y (fnmsub (+ y 1/2) (log y) x)) z)
(- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z)
(+ (- x z) (fnmsub (- 1/2 y) (log (neg y)) y))
(- (+ (- x (* (+ y 1/2) (log y))) y) (neg z))
(sum4 x (* (log y) (- -1/2 y)) y z)
(neg (- (+ (- (neg x) (* (+ y 1/2) (log y))) y) z))
(- x (- y (fma (+ y 1/2) (log y) z)))
(neg (- (+ (- x (* (+ (neg y) 1/2) (log (neg y)))) (neg y)) z))
(+ (+ y z) (fmsub (- 1/2 y) (log (neg y)) x))
(neg (- (+ (- x (* (+ y 1/2) (log y))) y) (neg z)))
(- (fmsub (+ y 1/2) (log y) x) (+ y z))
(- (+ (- y (* (+ x 1/2) (log x))) x) z)
(fnmadd (+ x 1/2) (log x) (+ y (- x z)))
(- (+ (- z (* (+ y 1/2) (log y))) y) x)
(+ y (+ z (fnmsub (+ y 1/2) (log y) x)))
(- (+ (- x (* (+ z 1/2) (log z))) z) y)
(+ z (- x (fma (+ 1/2 z) (log z) y)))

explain117.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
00-0-y
00-0-(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
00-0-z
00-0-(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
00-0-(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
00-0-(log.f64 y)
00-0-(+.f64 y #s(literal 1/2 binary64))
Results
71.0ms512×0valid
Compiler

Compiled 113 to 32 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sub: 9.0ms (33.5% of total)
ival-log: 7.0ms (26.1% of total)
ival-add: 6.0ms (22.3% of total)
ival-mult: 4.0ms (14.9% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify247.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
cost-diff0
(-.f64 z y)
cost-diff0
(-.f64 x (-.f64 z y))
cost-diff0
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Rules
4738×sum3-define
1030×fma-lowering-fma.f32
1030×fma-define
1030×fma-lowering-fma.f64
1008×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01035
12535
28234
336734
4212534
5620734
6700134
7760434
8772134
9772434
10772434
11775234
12775934
13775934
14775934
0929234
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- x (- z y)) (* (+ y 1/2) (log y)))
(- x (- z y))
x
(- z y)
z
y
(* (+ y 1/2) (log y))
(+ y 1/2)
1/2
(log y)
Outputs
(- (- x (- z y)) (* (+ y 1/2) (log y)))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- x (- z y))
(+.f64 y (-.f64 x z))
x
(- z y)
(-.f64 z y)
z
y
(* (+ y 1/2) (log y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)

localize57.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 y)
accuracy99.9%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy99.8%
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Results
39.0ms256×0valid
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 4.0ms (34.8% of total)
ival-log: 4.0ms (34.8% of total)
ival-mult: 2.0ms (17.4% of total)
ival-add: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series61.0ms (0.6%)

Counts
6 → 132
Calls
Call 1
Inputs
#<alt (- (- x (- z y)) (* (+ y 1/2) (log y)))>
#<alt (- x (- z y))>
#<alt (- z y)>
#<alt (* (+ y 1/2) (log y))>
#<alt (log y)>
#<alt (+ y 1/2)>
Outputs
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (- x z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt 1/2>
#<alt (+ 1/2 y)>
#<alt (+ 1/2 y)>
#<alt (+ 1/2 y)>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
Calls

33 calls:

TimeVariablePointExpression
18.0ms
y
@0
(log y)
14.0ms
y
@-inf
(log y)
8.0ms
y
@inf
(log y)
5.0ms
y
@-inf
(- (- x (- z y)) (* (+ y 1/2) (log y)))
5.0ms
x
@0
(- (- x (- z y)) (* (+ y 1/2) (log y)))

rewrite310.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
3826×*-lowering-*.f32
3826×*-lowering-*.f64
3300×+-lowering-+.f64
3300×+-lowering-+.f32
3144×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
17431
274830
0837930
Stop Event
iter limit
node limit
Counts
6 → 262
Calls
Call 1
Inputs
(- (- x (- z y)) (* (+ y 1/2) (log y)))
(- x (- z y))
(- z y)
(* (+ y 1/2) (log y))
(log y)
(+ y 1/2)
Outputs
(+.f64 x (+.f64 (+.f64 y (-.f64 #s(literal 0 binary64) z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 y (+.f64 (-.f64 x z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (-.f64 x (-.f64 z y)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 y (-.f64 #s(literal 0 binary64) z)) (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x (-.f64 z y)))
(+.f64 (-.f64 x z) (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 (*.f64 (-.f64 x (-.f64 z y)) (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y)))) (+.f64 (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y))) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y))) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))
(+.f64 (/.f64 (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y))) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))
(+.f64 (+.f64 (+.f64 y (-.f64 #s(literal 0 binary64) z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)
(+.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) (+.f64 y (-.f64 #s(literal 0 binary64) z)))
(+.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) y) (-.f64 x z))
(+.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)) y)
(-.f64 x (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (/.f64 (*.f64 (-.f64 x (-.f64 z y)) (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y)))) (+.f64 (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y))) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y))) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))))
(-.f64 (/.f64 (*.f64 (-.f64 x (-.f64 z y)) (-.f64 x (-.f64 z y))) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (+.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
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(*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal -1/2 binary64))))))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))

simplify245.0ms (2.5%)

Algorithm
egg-herbie
Rules
2368×*-lowering-*.f32
2368×*-lowering-*.f64
1854×+-lowering-+.f64
1854×+-lowering-+.f32
1808×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341022
1427946
21447926
35552890
08319890
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(- y (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- y z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
Outputs
(- y (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 x z) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 x z) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 x z) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) z)))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- x (+ z (* 1/2 (log y))))
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(+.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(+.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(+.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (-.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y)))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (-.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y)))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (-.f64 z x) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y)))
(- y z)
(-.f64 y z)
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(+.f64 y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(+.f64 y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(+.f64 y (-.f64 x z))
(- x z)
(-.f64 x z)
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(* y (- (+ 1 (/ x y)) (/ z y)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
z
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* 1/2 (log y))
(*.f64 (log.f64 y) #s(literal 1/2 binary64))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(+.f64 y #s(literal 1/2 binary64))
(+ 1/2 y)
(+.f64 y #s(literal 1/2 binary64))
(+ 1/2 y)
(+.f64 y #s(literal 1/2 binary64))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 y #s(literal 1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 y #s(literal 1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 y #s(literal 1/2 binary64))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 y #s(literal 1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 y #s(literal 1/2 binary64))
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 y #s(literal 1/2 binary64))

eval45.0ms (0.5%)

Compiler

Compiled 12188 to 1060 computations (91.3% saved)

prune56.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New38311394
Fresh000
Picked101
Done000
Total38411395
Accuracy
100.0%
Counts
395 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64))) (+.f64 x (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
99.8%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
89.8%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
38.5%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
73.0%
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
46.0%
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
36.9%
(-.f64 #s(literal 0 binary64) z)
83.9%
(*.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 x z) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) z)))))
29.2%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
78.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
28.1%
x
Compiler

Compiled 312 to 204 computations (34.6% saved)

simplify185.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 z y)
cost-diff0
(-.f64 x (-.f64 z y))
cost-diff0
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
cost-diff0
(-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
cost-diff0
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
cost-diff0
(log.f64 y)
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 y))
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
cost-diff0
(-.f64 z y)
cost-diff0
(-.f64 x (-.f64 z y))
cost-diff0
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
cost-diff128
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
Rules
1832×fnmadd-define
1464×fmsub-define
1384×fnmsub-define
1322×fmm-def
1290×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020108
154106
2154102
3509101
42453101
56616101
67320101
77955101
08004101
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- x (- z y)) (/ (log y) (/ 1 (+ y 1/2))))
(- x (- z y))
x
(- z y)
z
y
(/ (log y) (/ 1 (+ y 1/2)))
(log y)
(/ 1 (+ y 1/2))
1
(+ y 1/2)
1/2
x
(* y (- 1 (log y)))
y
(- 1 (log y))
1
(log y)
(- x (- z (* (log y) -1/2)))
x
(- z (* (log y) -1/2))
z
(* (log y) -1/2)
(log y)
y
-1/2
(- (- x (- z y)) (* y (log y)))
(- x (- z y))
x
(- z y)
z
y
(* y (log y))
(log y)
Outputs
(- (- x (- z y)) (/ (log y) (/ 1 (+ y 1/2))))
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- x (- z y))
(+.f64 x (-.f64 y z))
x
(- z y)
(-.f64 z y)
z
y
(/ (log y) (/ 1 (+ y 1/2)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(log y)
(log.f64 y)
(/ 1 (+ y 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* y (- 1 (log y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
y
(- 1 (log y))
(-.f64 #s(literal 1 binary64) (log.f64 y))
1
#s(literal 1 binary64)
(log y)
(log.f64 y)
(- x (- z (* (log y) -1/2)))
(+.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (-.f64 x z))
x
(- z (* (log y) -1/2))
(+.f64 z (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
z
(* (log y) -1/2)
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(log y)
(log.f64 y)
y
-1/2
#s(literal -1/2 binary64)
(- (- x (- z y)) (* y (log y)))
(+.f64 (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(- x (- z y))
(+.f64 x (-.f64 y z))
x
(- z y)
(-.f64 z y)
z
y
(* y (log y))
(*.f64 y (log.f64 y))
(log y)
(log.f64 y)

localize187.0ms (1.9%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (-.f64 z y))
accuracy100.0%
(log.f64 y)
accuracy99.9%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
accuracy99.6%
(*.f64 y (log.f64 y))
accuracy100.0%
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
accuracy100.0%
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy99.6%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
accuracy99.9%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
accuracy99.8%
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
Results
93.0ms256×0valid
Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sub: 9.0ms (33.9% of total)
ival-mult: 6.0ms (22.6% of total)
ival-div: 4.0ms (15% of total)
ival-log: 4.0ms (15% of total)
ival-add: 4.0ms (15% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
13 → 276
Calls
Call 1
Inputs
#<alt (/ (log y) (/ 1 (+ y 1/2)))>
#<alt (- (- x (- z y)) (/ (log y) (/ 1 (+ y 1/2))))>
#<alt (- x (- z y))>
#<alt (- z y)>
#<alt (* y (- 1 (log y)))>
#<alt (- 1 (log y))>
#<alt (log y)>
#<alt (- x (- z (* (log y) -1/2)))>
#<alt (- z (* (log y) -1/2))>
#<alt (* (log y) -1/2)>
#<alt (- (- x (- z y)) (* y (log y)))>
#<alt (* y (log y))>
#<alt (/ 1 (+ y 1/2))>
Outputs
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (- x z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (- (* -1/2 (log y)) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt x>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))>
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))>
#<alt (+ x (+ (* -1 z) (* -1/2 (log y))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* 1/2 (log (/ 1 y)))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)>
#<alt (* 1/2 (log y))>
#<alt (- z (* -1/2 (log y)))>
#<alt (- z (* -1/2 (log y)))>
#<alt (- z (* -1/2 (log y)))>
#<alt z>
#<alt (* z (+ 1 (* 1/2 (/ (log y) z))))>
#<alt (* z (+ 1 (* 1/2 (/ (log y) z))))>
#<alt (* z (+ 1 (* 1/2 (/ (log y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))>
#<alt (* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))>
#<alt (* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))>
#<alt (- z (* -1/2 (log y)))>
#<alt (- z (* -1/2 (log y)))>
#<alt (- z (* -1/2 (log y)))>
#<alt (- z (* -1/2 (log y)))>
#<alt (- z (* 1/2 (log (/ 1 y))))>
#<alt (- z (* 1/2 (log (/ 1 y))))>
#<alt (- z (* 1/2 (log (/ 1 y))))>
#<alt (- z (* 1/2 (log (/ 1 y))))>
#<alt (- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1/2 (log y))>
#<alt (* -1/2 (log y))>
#<alt (* -1/2 (log y))>
#<alt (* -1/2 (log y))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- y (+ z (* y (log y))))>
#<alt (- (+ x y) (+ z (* y (log y))))>
#<alt (- (+ x y) (+ z (* y (log y))))>
#<alt (- (+ x y) (+ z (* y (log y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt (- (+ x (+ y (* -1 z))) (* y (log y)))>
#<alt (- (+ x (+ y (* -1 z))) (* y (log y)))>
#<alt (- (+ x (+ y (* -1 z))) (* y (log y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))>
#<alt (- x z)>
#<alt (- (+ x (* y (- 1 (log y)))) z)>
#<alt (- (+ x (* y (- 1 (log y)))) z)>
#<alt (- (+ x (* y (- 1 (log y)))) z)>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt 2>
#<alt (+ 2 (* -4 y))>
#<alt (+ 2 (* y (- (* 8 y) 4)))>
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))>
Calls

69 calls:

TimeVariablePointExpression
12.0ms
y
@0
(* y (- 1 (log y)))
1.0ms
y
@-inf
(* y (- 1 (log y)))
0.0ms
y
@-inf
(- (- x (- z y)) (* y (log y)))
0.0ms
y
@inf
(* y (- 1 (log y)))
0.0ms
y
@-inf
(- x (- z (* (log y) -1/2)))

rewrite372.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
4456×*-lowering-*.f32
4456×*-lowering-*.f64
2732×/-lowering-/.f32
2732×/-lowering-/.f64
2106×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02076
115974
2163470
0831370
Stop Event
iter limit
node limit
Counts
13 → 369
Calls
Call 1
Inputs
(/ (log y) (/ 1 (+ y 1/2)))
(- (- x (- z y)) (/ (log y) (/ 1 (+ y 1/2))))
(- x (- z y))
(- z y)
(* y (- 1 (log y)))
(- 1 (log y))
(log y)
(- x (- z (* (log y) -1/2)))
(- z (* (log y) -1/2))
(* (log y) -1/2)
(- (- x (- z y)) (* y (log y)))
(* y (log y))
(/ 1 (+ y 1/2))
Outputs
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))) #s(literal -1 binary64)))
(fma.f64 y (log.f64 y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 y (log.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 y (log.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (*.f64 y (log.f64 y)))
(neg.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(+.f64 x (neg.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 z y))))
(+.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 z y)) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(+.f64 (+.f64 y (-.f64 x z)) (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(+.f64 (-.f64 x (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 z y))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (log.f64 y) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(+.f64 (-.f64 x (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 z y))) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (+.f64 y (-.f64 x z)))
(+.f64 (-.f64 x z) (+.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))))
(+.f64 (-.f64 x z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (log.f64 y) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (log.f64 y) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (*.f64 (+.f64 x (-.f64 z y)) (+.f64 y (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 (+.f64 x (-.f64 z y)) (+.f64 y (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) y))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (fma.f64 (*.f64 (+.f64 x (-.f64 z y)) (+.f64 y (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (log.f64 y) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (log.f64 y) #s(literal -1 binary64)))))
(-.f64 x (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (-.f64 z y)))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z)))))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z)))))))
(-.f64 (/.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z)))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z)))))
(fma.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (+.f64 y (-.f64 x z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z)))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal 1/2 binary64)) (+.f64 y (-.f64 x z)))
(fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (+.f64 x (-.f64 z y)) (+.f64 y (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z))))) (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z))) (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z))))))
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(/.f64 (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 y (-.f64 x z)) (-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y))))))) (*.f64 (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y)))))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y)))))) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y))))) (*.f64 (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y)))) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y)))))) (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y)))) (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y))))))
(*.f64 (-.f64 (*.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z)))) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (+.f64 (-.f64 x z) (+.f64 y (*.f64 y (log.f64 y))))))))
(*.f64 y (log.f64 y))
(*.f64 (log.f64 y) y)
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))

simplify316.0ms (3.2%)

Algorithm
egg-herbie
Rules
3476×*-lowering-*.f32
3476×*-lowering-*.f64
3266×+-lowering-+.f64
3266×+-lowering-+.f32
2116×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02582506
18342244
226342176
083432176
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(- y (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- y z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(- (* -1/2 (log y)) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
x
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(+ x (* -1/2 (log y)))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(* -1 z)
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(* 1/2 (log y))
(- z (* -1/2 (log y)))
(- z (* -1/2 (log y)))
(- z (* -1/2 (log y)))
z
(* z (+ 1 (* 1/2 (/ (log y) z))))
(* z (+ 1 (* 1/2 (/ (log y) z))))
(* z (+ 1 (* 1/2 (/ (log y) z))))
z
(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
(- z (* -1/2 (log y)))
(- z (* -1/2 (log y)))
(- z (* -1/2 (log y)))
(- z (* -1/2 (log y)))
(- z (* 1/2 (log (/ 1 y))))
(- z (* 1/2 (log (/ 1 y))))
(- z (* 1/2 (log (/ 1 y))))
(- z (* 1/2 (log (/ 1 y))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1/2 (log y))
(* -1/2 (log y))
(* -1/2 (log y))
(* -1/2 (log y))
(* 1/2 (log (/ 1 y)))
(* 1/2 (log (/ 1 y)))
(* 1/2 (log (/ 1 y)))
(* 1/2 (log (/ 1 y)))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(- y (+ z (* y (log y))))
(- (+ x y) (+ z (* y (log y))))
(- (+ x y) (+ z (* y (log y))))
(- (+ x y) (+ z (* y (log y))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))
(- (+ x y) (* y (log y)))
(- (+ x (+ y (* -1 z))) (* y (log y)))
(- (+ x (+ y (* -1 z))) (* y (log y)))
(- (+ x (+ y (* -1 z))) (* y (log y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))
(- x z)
(- (+ x (* y (- 1 (log y)))) z)
(- (+ x (* y (- 1 (log y)))) z)
(- (+ x (* y (- 1 (log y)))) z)
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
2
(+ 2 (* -4 y))
(+ 2 (* y (- (* 8 y) 4)))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(/ 1 y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/ 1 y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
Outputs
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
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(-.f64 (*.f64 z (/.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(-.f64 (*.f64 z (/.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(-.f64 (*.f64 z (/.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* -1/2 (log y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(+.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
z
(* z (+ 1 (* 1/2 (/ (log y) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)))
(* z (+ 1 (* 1/2 (/ (log y) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)))
(* z (+ 1 (* 1/2 (/ (log y) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)))
z
(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)))
(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)))
(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)))
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* -1/2 (log y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* 1/2 (log (/ 1 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* 1/2 (log (/ 1 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* 1/2 (log (/ 1 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* 1/2 (log (/ 1 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z)
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(- z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+.f64 z (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1/2 (log y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* -1/2 (log y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* -1/2 (log y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* -1/2 (log y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* 1/2 (log (/ 1 y)))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* 1/2 (log (/ 1 y)))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* 1/2 (log (/ 1 y)))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* 1/2 (log (/ 1 y)))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(- y (+ z (* y (log y))))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(- (+ x y) (+ z (* y (log y))))
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ x y) (+ z (* y (log y))))
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ x y) (+ z (* y (log y))))
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* y (log y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* y (log y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
(- (+ x y) (* y (log y)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(- (+ x (+ y (* -1 z))) (* y (log y)))
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ x (+ y (* -1 z))) (* y (log y)))
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ x (+ y (* -1 z))) (* y (log y)))
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))
(-.f64 (*.f64 z (/.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))
(-.f64 (*.f64 z (/.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* y (log y))) z)))))
(-.f64 (*.f64 z (/.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))) z)) z)
(- x z)
(-.f64 x z)
(- (+ x (* y (- 1 (log y)))) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ x (* y (- 1 (log y)))) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ x (* y (- 1 (log y)))) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) (-.f64 #s(literal 1 binary64) (log.f64 y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) (-.f64 #s(literal 1 binary64) (log.f64 y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (/ z y))))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) (-.f64 #s(literal 1 binary64) (log.f64 y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x z) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
2
#s(literal 2 binary64)
(+ 2 (* -4 y))
(+.f64 #s(literal 2 binary64) (*.f64 y #s(literal -4 binary64)))
(+ 2 (* y (- (* 8 y) 4)))
(+.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal -4 binary64) (*.f64 y #s(literal 8 binary64)))))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(+.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal -4 binary64) (*.f64 y (+.f64 #s(literal 8 binary64) (*.f64 y #s(literal -16 binary64)))))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1/4 binary64)) y)) y)) (-.f64 #s(literal 0 binary64) y))

eval112.0ms (1.1%)

Compiler

Compiled 19493 to 1534 computations (92.1% saved)

prune109.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New79116807
Fresh426
Picked325
Done000
Total79820818
Accuracy
100.0%
Counts
818 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
63.5%
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
99.5%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
99.8%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
55.1%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
46.7%
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
38.4%
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
38.5%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
29.1%
(-.f64 y (*.f64 y (log.f64 y)))
36.5%
(-.f64 x (*.f64 y (log.f64 y)))
38.2%
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
62.9%
(-.f64 x z)
36.9%
(-.f64 #s(literal 0 binary64) z)
73.9%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
29.0%
(*.f64 y (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) #s(literal 1 binary64))) (*.f64 (+.f64 (log.f64 y) #s(literal 1 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 y) #s(literal 1 binary64)) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
29.1%
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
29.2%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
29.2%
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
68.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
28.1%
x
Compiler

Compiled 509 to 338 computations (33.6% saved)

simplify167.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z)))
cost-diff128
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))
cost-diff128
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 y z)
cost-diff0
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 y (*.f64 y (log.f64 y)))
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(-.f64 z y)
cost-diff0
(-.f64 x (-.f64 z y))
cost-diff0
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
Rules
1856×+-lowering-+.f64
1856×+-lowering-+.f32
1808×fnmsub-define
1708×fmsub-define
1634×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027160
174154
2222148
3818146
43654142
08352142
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- x (- z y)) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))
(- x (- z y))
x
(- z y)
z
y
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
1
(/ (/ 1 (+ y 1/2)) (log y))
(/ 1 (+ y 1/2))
(+ y 1/2)
1/2
(log y)
(- 0 z)
0
z
(- y (* y (log y)))
y
(* y (log y))
(log y)
(- (- y z) (* y (log y)))
(- y z)
y
z
(* y (log y))
(log y)
(* z (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z))))
z
(+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z)))
(/ x z)
x
(- (+ -1 (/ y z)) (/ (* y (log y)) z))
(+ -1 (/ y z))
-1
(/ y z)
y
(/ (* y (log y)) z)
(* y (log y))
(log y)
Outputs
(- (- x (- z y)) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))
(+.f64 x (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(- x (- z y))
(+.f64 x (-.f64 y z))
x
(- z y)
(-.f64 z y)
z
y
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
1
#s(literal 1 binary64)
(/ (/ 1 (+ y 1/2)) (log y))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(/ 1 (+ y 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(- y (* y (log y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
y
(* y (log y))
(*.f64 y (log.f64 y))
(log y)
(log.f64 y)
(- (- y z) (* y (log y)))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(- y z)
(-.f64 y z)
y
z
(* y (log y))
(*.f64 y (log.f64 y))
(log y)
(log.f64 y)
(* z (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z))))
(-.f64 x (*.f64 (+.f64 (*.f64 (/.f64 y z) (+.f64 (log.f64 y) #s(literal -1 binary64))) #s(literal 1 binary64)) z))
z
(+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z)))
(+.f64 (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(/ x z)
(/.f64 x z)
x
(- (+ -1 (/ y z)) (/ (* y (log y)) z))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (log.f64 y))))
(+ -1 (/ y z))
(+.f64 #s(literal -1 binary64) (/.f64 y z))
-1
#s(literal -1 binary64)
(/ y z)
(/.f64 y z)
y
(/ (* y (log y)) z)
(/.f64 (*.f64 y (log.f64 y)) z)
(* y (log y))
(*.f64 y (log.f64 y))
(log y)
(log.f64 y)

localize201.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(/.f64 (*.f64 y (log.f64 y)) z)
accuracy99.0%
(+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z)))
accuracy91.8%
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))
accuracy84.5%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(log.f64 y)
accuracy99.8%
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
accuracy99.6%
(*.f64 y (log.f64 y))
accuracy100.0%
(log.f64 y)
accuracy99.6%
(*.f64 y (log.f64 y))
accuracy99.6%
(-.f64 y (*.f64 y (log.f64 y)))
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
accuracy99.9%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))
Results
145.0ms256×0valid
Compiler

Compiled 171 to 28 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 20.0ms (45% of total)
ival-sub: 13.0ms (29.3% of total)
ival-log: 4.0ms (9% of total)
ival-add: 4.0ms (9% of total)
ival-mult: 3.0ms (6.8% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.6%)

Counts
17 → 372
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ 1 (+ y 1/2)) (log y)))>
#<alt (- (- x (- z y)) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))>
#<alt (- x (- z y))>
#<alt (- z y)>
#<alt (- 0 z)>
#<alt (- y (* y (log y)))>
#<alt (* y (log y))>
#<alt (log y)>
#<alt (- (- y z) (* y (log y)))>
#<alt (- y z)>
#<alt (* z (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z))))>
#<alt (- (+ -1 (/ y z)) (/ (* y (log y)) z))>
#<alt (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z)))>
#<alt (/ x z)>
#<alt (/ (/ 1 (+ y 1/2)) (log y))>
#<alt (/ 1 (+ y 1/2))>
#<alt (/ (* y (log y)) z)>
Outputs
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (- x z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (* -1 z)>
#<alt (- (* y (- 1 (log y))) z)>
#<alt (- (* y (- 1 (log y))) z)>
#<alt (- (* y (- 1 (log y))) z)>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* -1 (/ z y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* -1 (/ z y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* -1 (/ z y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (/ z y) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (/ z y) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (/ z y) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y (* y (log y)))>
#<alt (- (+ y (* -1 z)) (* y (log y)))>
#<alt (- (+ y (* -1 z)) (* y (log y)))>
#<alt (- (+ y (* -1 z)) (* y (log y)))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) (+ 1 (/ (* y (log y)) z))))>
#<alt (* z (- (/ y z) (+ 1 (/ (* y (log y)) z))))>
#<alt (* z (- (/ y z) (+ 1 (/ (* y (log y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* y (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* y (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* y (log y))) z)))))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (- (+ x y) (* y (log y)))>
#<alt (- (+ x (+ y (* -1 z))) (* y (log y)))>
#<alt (- (+ x (+ y (* -1 z))) (* y (log y)))>
#<alt (- (+ x (+ y (* -1 z))) (* y (log y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- (+ 1 (+ (* -1 (/ x z)) (* -1 (/ y z)))) (* -1 (/ (* y (log y)) z)))))>
#<alt (* -1 (* z (- (+ 1 (+ (* -1 (/ x z)) (* -1 (/ y z)))) (* -1 (/ (* y (log y)) z)))))>
#<alt (* -1 (* z (- (+ 1 (+ (* -1 (/ x z)) (* -1 (/ y z)))) (* -1 (/ (* y (log y)) z)))))>
#<alt (* z (- (/ y z) (+ 1 (/ (* y (log y)) z))))>
#<alt (+ x (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))))>
#<alt (+ x (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))))>
#<alt (+ x (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ y z) (+ 1 (/ (* y (log y)) z)))) x)) 1)))>
#<alt (* z (- (/ x z) 1))>
#<alt (+ (* y (* z (- (/ 1 z) (/ (log y) z)))) (* z (- (/ x z) 1)))>
#<alt (+ (* y (* z (- (/ 1 z) (/ (log y) z)))) (* z (- (/ x z) 1)))>
#<alt (+ (* y (* z (- (/ 1 z) (/ (log y) z)))) (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))))>
#<alt (* y (+ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) (/ (* z (- (/ x z) 1)) y)))>
#<alt (* y (+ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) (/ (* z (- (/ x z) 1)) y)))>
#<alt (* y (+ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) (/ (* z (- (/ x z) 1)) y)))>
#<alt (* y (* z (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (* z (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))) (* -1 (/ (* z (- (/ x z) 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))) (* -1 (/ (* z (- (/ x z) 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))) (* -1 (/ (* z (- (/ x z) 1)) y)))))>
#<alt -1>
#<alt (- (* y (- (/ 1 z) (/ (log y) z))) 1)>
#<alt (- (* y (- (/ 1 z) (/ (log y) z))) 1)>
#<alt (- (* y (- (/ 1 z) (/ (log y) z))) 1)>
#<alt (* y (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z))))>
#<alt (* y (- (/ 1 z) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))>
#<alt (* y (- (/ 1 z) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))>
#<alt (* y (- (/ 1 z) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))>
#<alt (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))>
#<alt (* -1 (* y (- (/ 1 y) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))>
#<alt (* -1 (* y (- (/ 1 y) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))>
#<alt (* -1 (* y (- (/ 1 y) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))>
#<alt (/ (- y (* y (log y))) z)>
#<alt (/ (- (+ y (* -1 z)) (* y (log y))) z)>
#<alt (/ (- (+ y (* -1 z)) (* y (log y))) z)>
#<alt (/ (- (+ y (* -1 z)) (* y (log y))) z)>
#<alt -1>
#<alt (- (/ y z) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (/ y z) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (/ y z) (+ 1 (/ (* y (log y)) z)))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 y) (* -1 (* y (log y)))) z)) 1)>
#<alt (- (* -1 (/ (- (* -1 y) (* -1 (* y (log y)))) z)) 1)>
#<alt (- (* -1 (/ (- (* -1 y) (* -1 (* y (log y)))) z)) 1)>
#<alt (- (/ y z) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))>
#<alt (/ x z)>
#<alt (* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* y (log y)) (* x z)))))>
#<alt (* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* y (log y)) (* x z)))))>
#<alt (* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* y (log y)) (* x z)))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (- (/ y z) (+ 1 (/ (* y (log y)) z))) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ y z) (+ 1 (/ (* y (log y)) z))) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ y z) (+ 1 (/ (* y (log y)) z))) x)) (/ 1 z))))>
#<alt (/ (- (+ x y) (* y (log y))) z)>
#<alt (/ (- (+ x (+ y (* -1 z))) (* y (log y))) z)>
#<alt (/ (- (+ x (+ y (* -1 z))) (* y (log y))) z)>
#<alt (/ (- (+ x (+ y (* -1 z))) (* y (log y))) z)>
#<alt -1>
#<alt (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))>
#<alt (- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))>
#<alt -1>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (* y (log y)))) z)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (* y (log y)))) z)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (* y (log y)))) z)) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (+ (* y (- (/ 1 z) (/ (log y) z))) (/ x z)) 1)>
#<alt (- (+ (* y (- (/ 1 z) (/ (log y) z))) (/ x z)) 1)>
#<alt (- (+ (* y (- (/ 1 z) (/ (log y) z))) (/ x z)) 1)>
#<alt (* y (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z))))>
#<alt (* y (- (+ (/ 1 z) (/ x (* y z))) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))>
#<alt (* y (- (+ (/ 1 z) (/ x (* y z))) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))>
#<alt (* y (- (+ (/ 1 z) (/ x (* y z))) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))>
#<alt (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ 2 (log y))>
#<alt (+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y))))>
#<alt (+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))>
#<alt (+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))>
#<alt (/ -1 (* y (log (/ 1 y))))>
#<alt (/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y)>
#<alt (/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y)>
#<alt (/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y)>
#<alt (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))>
#<alt 2>
#<alt (+ 2 (* -4 y))>
#<alt (+ 2 (* y (- (* 8 y) 4)))>
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (* -1 (/ (* y (log (/ 1 y))) z))>
#<alt (* -1 (/ (* y (log (/ 1 y))) z))>
#<alt (* -1 (/ (* y (log (/ 1 y))) z))>
#<alt (* -1 (/ (* y (log (/ 1 y))) z))>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
#<alt (/ (* y (log y)) z)>
Calls

93 calls:

TimeVariablePointExpression
28.0ms
z
@0
(/ (* y (log y)) z)
4.0ms
z
@inf
(/ (* y (log y)) z)
3.0ms
z
@0
(- (- y z) (* y (log y)))
2.0ms
z
@0
(* z (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z))))
1.0ms
z
@-inf
(* z (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z))))

rewrite381.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
2766×fma-lowering-fma.f32
2766×fma-lowering-fma.f64
2700×*-lowering-*.f32
2700×*-lowering-*.f64
2168×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027121
1231109
22771103
09091103
Stop Event
iter limit
node limit
Counts
17 → 444
Calls
Call 1
Inputs
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
(- (- x (- z y)) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))
(- x (- z y))
(- z y)
(- 0 z)
(- y (* y (log y)))
(* y (log y))
(log y)
(- (- y z) (* y (log y)))
(- y z)
(* z (+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z))))
(- (+ -1 (/ y z)) (/ (* y (log y)) z))
(+ (/ x z) (- (+ -1 (/ y z)) (/ (* y (log y)) z)))
(/ x z)
(/ (/ 1 (+ y 1/2)) (log y))
(/ 1 (+ y 1/2))
(/ (* y (log y)) z)
Outputs
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))
(exp.f64 (log.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(fma.f64 y (log.f64 y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 y) y (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
(/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal -1 binary64)))
(+.f64 x (neg.f64 (+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 z y))))
(+.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))) (+.f64 y (-.f64 x z)))
(+.f64 (-.f64 x z) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y)))))
(+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))) (+.f64 y #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (fma.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal -1 binary64)))) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64))))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) (/.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 z y) (+.f64 x (-.f64 z y))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))))) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal -1 binary64)))) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64))))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) (/.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal -1 binary64)))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal -1 binary64)))
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simplify291.0ms (3%)

Algorithm
egg-herbie
Rules
3846×*-lowering-*.f32
3846×*-lowering-*.f64
2014×+-lowering-+.f64
2014×+-lowering-+.f32
1366×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03653741
112363339
238613173
083043173
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
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(+ (* 1/2 (log y)) (* y (log y)))
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(- (* y (- (/ 1 z) (/ (log y) z))) 1)
(- (* y (- (/ 1 z) (/ (log y) z))) 1)
(* y (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z))))
(* y (- (/ 1 z) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))
(* y (- (/ 1 z) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))
(* y (- (/ 1 z) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))
(* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))
(* -1 (* y (- (/ 1 y) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))
(* -1 (* y (- (/ 1 y) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))
(* -1 (* y (- (/ 1 y) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))
(/ (- y (* y (log y))) z)
(/ (- (+ y (* -1 z)) (* y (log y))) z)
(/ (- (+ y (* -1 z)) (* y (log y))) z)
(/ (- (+ y (* -1 z)) (* y (log y))) z)
-1
(- (/ y z) (+ 1 (/ (* y (log y)) z)))
(- (/ y z) (+ 1 (/ (* y (log y)) z)))
(- (/ y z) (+ 1 (/ (* y (log y)) z)))
-1
(- (* -1 (/ (- (* -1 y) (* -1 (* y (log y)))) z)) 1)
(- (* -1 (/ (- (* -1 y) (* -1 (* y (log y)))) z)) 1)
(- (* -1 (/ (- (* -1 y) (* -1 (* y (log y)))) z)) 1)
(- (/ y z) (+ 1 (/ (* y (log y)) z)))
(- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))
(- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))
(- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))
(/ x z)
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* y (log y)) (* x z)))))
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* y (log y)) (* x z)))))
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* y (log y)) (* x z)))))
(/ x z)
(* -1 (* x (- (* -1 (/ (- (/ y z) (+ 1 (/ (* y (log y)) z))) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (/ y z) (+ 1 (/ (* y (log y)) z))) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (/ y z) (+ 1 (/ (* y (log y)) z))) x)) (/ 1 z))))
(/ (- (+ x y) (* y (log y))) z)
(/ (- (+ x (+ y (* -1 z))) (* y (log y))) z)
(/ (- (+ x (+ y (* -1 z))) (* y (log y))) z)
(/ (- (+ x (+ y (* -1 z))) (* y (log y))) z)
-1
(- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))
(- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))
(- (+ (/ x z) (/ y z)) (+ 1 (/ (* y (log y)) z)))
-1
(- (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (* y (log y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (* y (log y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (* y (log y)))) z)) 1)
(- (/ x z) 1)
(- (+ (* y (- (/ 1 z) (/ (log y) z))) (/ x z)) 1)
(- (+ (* y (- (/ 1 z) (/ (log y) z))) (/ x z)) 1)
(- (+ (* y (- (/ 1 z) (/ (log y) z))) (/ x z)) 1)
(* y (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z))))
(* y (- (+ (/ 1 z) (/ x (* y z))) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))
(* y (- (+ (/ 1 z) (/ x (* y z))) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))
(* y (- (+ (/ 1 z) (/ x (* y z))) (+ (* -1 (/ (log (/ 1 y)) z)) (/ 1 y))))
(* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))
(* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))
(* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))
(* -1 (* y (- (* -1 (/ (- (/ x z) 1) y)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) (/ 1 z)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ 2 (log y))
(+ (* -4 (/ y (log y))) (* 2 (/ 1 (log y))))
(+ (* y (- (* 8 (/ y (log y))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))
(+ (* y (- (* y (+ (* -16 (/ y (log y))) (* 8 (/ 1 (log y))))) (* 4 (/ 1 (log y))))) (* 2 (/ 1 (log y))))
(/ -1 (* y (log (/ 1 y))))
(/ (- (* 1/2 (/ 1 (* y (log (/ 1 y))))) (/ 1 (log (/ 1 y)))) y)
(/ (- (/ 1/2 (* y (log (/ 1 y)))) (+ (/ 1/4 (* (pow y 2) (log (/ 1 y)))) (/ 1 (log (/ 1 y))))) y)
(/ (- (+ (/ 1/2 (* y (log (/ 1 y)))) (* 1/8 (/ 1 (* (pow y 3) (log (/ 1 y)))))) (+ (/ 1 (log (/ 1 y))) (* 1/4 (/ 1 (* (pow y 2) (log (/ 1 y))))))) y)
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (/ (- (* 1/2 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))) y))
2
(+ 2 (* -4 y))
(+ 2 (* y (- (* 8 y) 4)))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(/ 1 y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/ 1 y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(* -1 (/ (* y (log (/ 1 y))) z))
(* -1 (/ (* y (log (/ 1 y))) z))
(* -1 (/ (* y (log (/ 1 y))) z))
(* -1 (/ (* y (log (/ 1 y))) z))
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
(/ (* y (log y)) z)
Outputs
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) y)) (-.f64 #s(literal 0 binary64) y))
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 1 binary64))))
(- x (+ z (* 1/2 (log y))))
(-.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) z))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (log.f64 y) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y) (/.f64 z y))))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (log.f64 y) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y) (/.f64 z y))))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (log.f64 y) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y) (/.f64 z y))))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 (-.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 (-.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (+.f64 (/.f64 (-.f64 (-.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(- y z)
(-.f64 y z)
(- (+ x y) z)
(+.f64 x (-.f64 y z))
(- (+ x y) z)
(+.f64 x (-.f64 y z))
(- (+ x y) z)
(+.f64 x (-.f64 y z))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)) #s(literal 1 binary64)))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 z)))
(+.f64 x (-.f64 y z))
(+ x (+ y (* -1 z)))
(+.f64 x (-.f64 y z))
(+ x (+ y (* -1 z)))
(+.f64 x (-.f64 y z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))))
(- x z)
(-.f64 x z)
(- (+ x y) z)
(+.f64 x (-.f64 y z))
(- (+ x y) z)
(+.f64 x (-.f64 y z))
(- (+ x y) z)
(+.f64 x (-.f64 y z))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)) (-.f64 #s(literal 0 binary64) y))
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(*.f64 y (/.f64 (log.f64 y) z))
(/ (* y (log y)) z)
(*.f64 y (/.f64 (log.f64 y) z))
(/ (* y (log y)) z)
(*.f64 y (/.f64 (log.f64 y) z))

eval129.0ms (1.3%)

Compiler

Compiled 19226 to 1855 computations (90.4% saved)

prune1.5s (15.3%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New87112883
Fresh21113
Picked325
Done022
Total87627903
Accuracy
100.0%
Counts
903 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
14.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
29.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
14.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
63.5%
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
99.8%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
55.1%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
46.7%
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
38.4%
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
38.4%
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
38.5%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
29.1%
(-.f64 y (*.f64 y (log.f64 y)))
36.5%
(-.f64 x (*.f64 y (log.f64 y)))
38.2%
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
62.9%
(-.f64 x z)
7.5%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
14.8%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
21.2%
(*.f64 z (/.f64 x z))
73.9%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 y z)))))
74.3%
(*.f64 z (+.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 y) z))))))
29.1%
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
29.2%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
29.2%
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
68.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
36.9%
(neg.f64 z)
28.1%
x
Compiler

Compiled 635 to 431 computations (32.1% saved)

simplify297.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
cost-diff0
(log.f64 y)
cost-diff0
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
cost-diff128
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 x (*.f64 y (log.f64 y)))
cost-diff0
(*.f64 z z)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
cost-diff256
(/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))
cost-diff-64
(neg.f64 z)
cost-diff0
(-.f64 z y)
cost-diff0
(-.f64 x (-.f64 z y))
cost-diff0
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
cost-diff128
(/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))
Rules
1712×sum3-define
1610×fma-define
1416×+-lowering-+.f64
1416×+-lowering-+.f32
1412×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023101
16097
215494
352192
4234492
5765392
0802992
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- x (- z y)) (/ (+ y 1/2) (/ 1 (log y))))
(- x (- z y))
x
(- z y)
z
y
(/ (+ y 1/2) (/ 1 (log y)))
(+ y 1/2)
1/2
(/ 1 (log y))
1
(log y)
(neg z)
z
(/ 1 (/ z (- 0 (* z z))))
1
(/ z (- 0 (* z z)))
z
(- 0 (* z z))
0
(* z z)
(- x (* y (log y)))
x
(* y (log y))
y
(log y)
(- y (/ (log y) (/ 1 (+ y 1/2))))
y
(/ (log y) (/ 1 (+ y 1/2)))
(log y)
(/ 1 (+ y 1/2))
1
(+ y 1/2)
1/2
Outputs
(- (- x (- z y)) (/ (+ y 1/2) (/ 1 (log y))))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- x (- z y))
(+.f64 x (-.f64 y z))
x
(- z y)
(-.f64 z y)
z
y
(/ (+ y 1/2) (/ 1 (log y)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (log y))
(/.f64 #s(literal 1 binary64) (log.f64 y))
1
#s(literal 1 binary64)
(log y)
(log.f64 y)
(neg z)
(-.f64 #s(literal 0 binary64) z)
z
(/ 1 (/ z (- 0 (* z z))))
(-.f64 #s(literal 0 binary64) z)
1
#s(literal 1 binary64)
(/ z (- 0 (* z z)))
(/.f64 #s(literal -1 binary64) z)
z
(- 0 (* z z))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
0
#s(literal 0 binary64)
(* z z)
(*.f64 z z)
(- x (* y (log y)))
(-.f64 x (*.f64 y (log.f64 y)))
x
(* y (log y))
(*.f64 y (log.f64 y))
y
(log y)
(log.f64 y)
(- y (/ (log y) (/ 1 (+ y 1/2))))
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
y
(/ (log y) (/ 1 (+ y 1/2)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(log y)
(log.f64 y)
(/ 1 (+ y 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize158.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
accuracy99.8%
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
accuracy99.8%
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
accuracy100.0%
(log.f64 y)
accuracy100.0%
(-.f64 x (*.f64 y (log.f64 y)))
accuracy99.6%
(*.f64 y (log.f64 y))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 z z))
accuracy100.0%
(*.f64 z z)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
accuracy52.5%
(/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z)))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(log.f64 y)
accuracy99.9%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 y))
accuracy99.6%
(/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))
Results
127.0ms256×0valid
Compiler

Compiled 123 to 24 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 27.0ms (59.7% of total)
ival-sub: 8.0ms (17.7% of total)
ival-log: 4.0ms (8.8% of total)
ival-mult: 4.0ms (8.8% of total)
ival-add: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
16 → 264
Calls
Call 1
Inputs
#<alt (/ (+ y 1/2) (/ 1 (log y)))>
#<alt (- (- x (- z y)) (/ (+ y 1/2) (/ 1 (log y))))>
#<alt (- x (- z y))>
#<alt (- z y)>
#<alt (neg z)>
#<alt (/ z (- 0 (* z z)))>
#<alt (/ 1 (/ z (- 0 (* z z))))>
#<alt (- 0 (* z z))>
#<alt (* z z)>
#<alt (- x (* y (log y)))>
#<alt (* y (log y))>
#<alt (log y)>
#<alt (/ (log y) (/ 1 (+ y 1/2)))>
#<alt (- y (/ (log y) (/ 1 (+ y 1/2))))>
#<alt (/ 1 (+ y 1/2))>
#<alt (/ 1 (log y))>
Outputs
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (- y (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt (- (+ x y) (+ z (* (log y) (+ 1/2 y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (+ x (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* z (- (+ (/ x z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))>
#<alt (- x z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt (- (+ x y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1)))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ -1 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 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 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1 (* y (log y)))>
#<alt (- x (* y (log y)))>
#<alt (- x (* y (log y)))>
#<alt (- x (* y (log y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y (log y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (log y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (log y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y (log y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (log y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (log y)) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y (log y))))>
#<alt (+ x (* -1 (* y (log y))))>
#<alt (+ x (* -1 (* y (log y))))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (- (/ x y) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (/ x y) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (/ x y) (* -1 (log (/ 1 y)))))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (+ (* 1/2 (log y)) (* y (log y)))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))>
#<alt (* -1/2 (log y))>
#<alt (- (* y (- 1 (log y))) (* 1/2 (log y)))>
#<alt (- (* y (- 1 (log y))) (* 1/2 (log y)))>
#<alt (- (* y (- 1 (log y))) (* 1/2 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt 2>
#<alt (+ 2 (* -4 y))>
#<alt (+ 2 (* y (- (* 8 y) 4)))>
#<alt (+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)>
#<alt (/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))>
#<alt (/ 1 (log y))>
#<alt (/ 1 (log y))>
#<alt (/ 1 (log y))>
#<alt (/ 1 (log y))>
#<alt (/ -1 (log (/ 1 y)))>
#<alt (/ -1 (log (/ 1 y)))>
#<alt (/ -1 (log (/ 1 y)))>
#<alt (/ -1 (log (/ 1 y)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(- x (* y (log y)))
1.0ms
y
@-inf
(/ 1 (log y))
0.0ms
y
@inf
(/ 1 (log y))
0.0ms
y
@0
(/ 1 (log y))
0.0ms
z
@inf
(/ z (- 0 (* z z)))

rewrite365.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
3378×/-lowering-/.f32
3378×/-lowering-/.f64
3132×*-lowering-*.f32
3132×*-lowering-*.f64
2186×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02377
117773
2177868
0891268
Stop Event
iter limit
node limit
Counts
16 → 733
Calls
Call 1
Inputs
(/ (+ y 1/2) (/ 1 (log y)))
(- (- x (- z y)) (/ (+ y 1/2) (/ 1 (log y))))
(- x (- z y))
(- z y)
(neg z)
(/ z (- 0 (* z z)))
(/ 1 (/ z (- 0 (* z z))))
(- 0 (* z z))
(* z z)
(- x (* y (log y)))
(* y (log y))
(log y)
(/ (log y) (/ 1 (+ y 1/2)))
(- y (/ (log y) (/ 1 (+ y 1/2))))
(/ 1 (+ y 1/2))
(/ 1 (log y))
Outputs
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))))
(fma.f64 y (log.f64 y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 y) y (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 y (log.f64 y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 y)))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(/.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 y (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))))))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 (log.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 y) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 y))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (pow.f64 (log.f64 y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))))
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(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)) y)
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (log.f64 y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))))
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(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (/.f64 (*.f64 y y) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))))
(pow.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))))
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(pow.f64 (log.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y)))
(*.f64 (pow.f64 (log.f64 y) #s(literal -1/2 binary64)) (pow.f64 (log.f64 y) #s(literal -1/2 binary64)))

simplify296.0ms (3%)

Algorithm
egg-herbie
Rules
3960×*-lowering-*.f32
3960×*-lowering-*.f64
2304×+-lowering-+.f64
2304×+-lowering-+.f32
1682×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02182072
16961848
221611768
379931768
085531768
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(- y (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- y z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (pow z 2))
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(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 (* y (log y)))
(- x (* y (log y)))
(- x (* y (log y)))
(- x (* y (log y)))
x
(* x (+ 1 (* -1 (/ (* y (log y)) x))))
(* x (+ 1 (* -1 (/ (* y (log y)) x))))
(* x (+ 1 (* -1 (/ (* y (log y)) x))))
x
(* -1 (* x (- (/ (* y (log y)) x) 1)))
(* -1 (* x (- (/ (* y (log y)) x) 1)))
(* -1 (* x (- (/ (* y (log y)) x) 1)))
x
(+ x (* -1 (* y (log y))))
(+ x (* -1 (* y (log y))))
(+ x (* -1 (* y (log y))))
(* y (log (/ 1 y)))
(* y (- (/ x y) (* -1 (log (/ 1 y)))))
(* y (- (/ x y) (* -1 (log (/ 1 y)))))
(* y (- (/ x y) (* -1 (log (/ 1 y)))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1/2 (log y))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
2
(+ 2 (* -4 y))
(+ 2 (* y (- (* 8 y) 4)))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(/ 1 y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/ 1 y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(/ 1 (log y))
(/ 1 (log y))
(/ 1 (log y))
(/ 1 (log y))
(/ -1 (log (/ 1 y)))
(/ -1 (log (/ 1 y)))
(/ -1 (log (/ 1 y)))
(/ -1 (log (/ 1 y)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
Outputs
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z))) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z))) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (-.f64 (-.f64 (/.f64 y z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z))) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z) z) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z) z) z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z) z) z)
(- x (+ z (* 1/2 (log y))))
(+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) x)
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x z) y) (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x z) y) (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x z) y) (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (-.f64 (/.f64 (-.f64 x z) y) (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (-.f64 (/.f64 (-.f64 x z) y) (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 y (-.f64 (/.f64 (-.f64 x z) y) (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))))
(- y z)
(-.f64 y z)
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
x
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(+ x (+ y (* -1 z)))
(+.f64 y (-.f64 x z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 y x) z) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 y x) z) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 y x) z) z) z)
(- x z)
(-.f64 x z)
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
(- (+ x y) z)
(+.f64 y (-.f64 x z))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* z (+ 1 (* -1 (/ y z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* z (+ 1 (* -1 (/ y z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(* -1 (* z (- (/ y z) 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* z (- (/ y z) 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* z (- (/ y z) 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y)))
(* y (- (/ z y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y)))
(* y (- (/ z y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y)))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y)))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
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(/ -1 z)
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(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 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 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* -1 (* y (log y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y)))
(- x (* y (log y)))
(-.f64 x (*.f64 y (log.f64 y)))
(- x (* y (log y)))
(-.f64 x (*.f64 y (log.f64 y)))
(- x (* y (log y)))
(-.f64 x (*.f64 y (log.f64 y)))
x
(* x (+ 1 (* -1 (/ (* y (log y)) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(* x (+ 1 (* -1 (/ (* y (log y)) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(* x (+ 1 (* -1 (/ (* y (log y)) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
x
(* -1 (* x (- (/ (* y (log y)) x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(* -1 (* x (- (/ (* y (log y)) x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
(* -1 (* x (- (/ (* y (log y)) x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (log.f64 y)) x)))
x
(+ x (* -1 (* y (log y))))
(-.f64 x (*.f64 y (log.f64 y)))
(+ x (* -1 (* y (log y))))
(-.f64 x (*.f64 y (log.f64 y)))
(+ x (* -1 (* y (log y))))
(-.f64 x (*.f64 y (log.f64 y)))
(* y (log (/ 1 y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y)))
(* y (- (/ x y) (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 (/.f64 x y) (log.f64 y)))
(* y (- (/ x y) (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 (/.f64 x y) (log.f64 y)))
(* y (- (/ x y) (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 (/.f64 x y) (log.f64 y)))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(*.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 y (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 y (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 y (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 x y)))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* y (log y))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (log (/ 1 y))))
(*.f64 y (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1/2 (log y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -4 y))
(+.f64 #s(literal 2 binary64) (*.f64 y #s(literal -4 binary64)))
(+ 2 (* y (- (* 8 y) 4)))
(+.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal -4 binary64) (*.f64 y #s(literal 8 binary64)))))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(+.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal -4 binary64) (*.f64 y (+.f64 #s(literal 8 binary64) (*.f64 y #s(literal -16 binary64)))))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y) (/.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 y)) 1/4) y)) 1/2) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) y)) y)) y)) (-.f64 #s(literal 0 binary64) y))
(/ 1 (log y))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ 1 (log y))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ 1 (log y))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ 1 (log y))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ -1 (log (/ 1 y)))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ -1 (log (/ 1 y)))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ -1 (log (/ 1 y)))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ -1 (log (/ 1 y)))
(/.f64 #s(literal 1 binary64) (log.f64 y))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))

eval145.0ms (1.5%)

Compiler

Compiled 21349 to 2213 computations (89.6% saved)

prune163.0ms (1.7%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1044211065
Fresh51318
Picked325
Done044
Total1052401092
Accuracy
100.0%
Counts
1092 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.8%
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
5.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
7.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
2.7%
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
5.9%
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
5.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
2.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
14.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
2.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
14.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
63.5%
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
55.1%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
46.7%
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
38.5%
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
38.2%
(-.f64 y (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
29.1%
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y)))
11.4%
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
27.2%
(-.f64 y (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
38.4%
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
38.5%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
29.1%
(-.f64 y (*.f64 y (log.f64 y)))
36.5%
(-.f64 x (*.f64 y (log.f64 y)))
38.2%
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
62.9%
(-.f64 x z)
3.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
5.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
14.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
7.5%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
14.8%
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
12.4%
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
21.2%
(*.f64 z (/.f64 x z))
73.9%
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 y z)))))
74.3%
(*.f64 z (+.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 y) z))))))
29.2%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
68.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
14.9%
(neg.f64 (/.f64 (*.f64 z z) z))
36.9%
(neg.f64 z)
28.1%
x
Compiler

Compiled 1322 to 540 computations (59.2% saved)

regimes96.0ms (1%)

Counts
62 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x)))
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) x)))
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 y z)))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y (log.f64 y)) z))))
(*.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 x z) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) z)))))
(*.f64 z (+.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 y) z))))))
(-.f64 y (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 y (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64))) (+.f64 x (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
(*.f64 y (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 y) #s(literal 1 binary64))) (*.f64 (+.f64 (log.f64 y) #s(literal 1 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 y) #s(literal 1 binary64)) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Calls

5 calls:

20.0ms
x
19.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
19.0ms
z
17.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
17.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.9%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes44.0ms (0.5%)

Counts
44 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
Outputs
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
Calls

3 calls:

14.0ms
z
14.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
89.8%1x
99.5%2y
89.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts
42 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y)))))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
Outputs
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 (-.f64 y z) (*.f64 y (log.f64 y)))
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
93.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Counts
38 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
Outputs
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
Calls

1 calls:

16.0ms
y
Results
AccuracySegmentsBranch
92.4%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.4%)

Counts
37 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) y)))
Outputs
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
Calls

3 calls:

12.0ms
z
11.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
73.0%1x
77.5%3z
89.1%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts
34 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (/.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Outputs
(-.f64 x z)
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
79.2%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.3%)

Counts
27 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 (*.f64 z z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
Outputs
(-.f64 x z)
Calls

3 calls:

10.0ms
x
9.0ms
y
8.0ms
z
Results
AccuracySegmentsBranch
62.9%1x
62.9%1z
62.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
Outputs
(neg.f64 z)
x
(neg.f64 z)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
54.0%3x
55.5%3z
38.8%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
28.1%1y
28.1%1x
28.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.0003252728842007569
0.030494031041865283
Results
10.0ms112×0valid
Compiler

Compiled 203 to 141 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (32.2% of total)
ival-log: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-mult: 1.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.1239851646193444e+62
2.1822225202024403e+64
Results
9.0ms112×0valid
Compiler

Compiled 189 to 134 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.8% of total)
ival-log: 1.0ms (20.8% of total)
ival-add: 1.0ms (20.8% of total)
ival-mult: 1.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
262710713.44197115
1777650185541.5205
Results
10.0ms128×0valid
Compiler

Compiled 213 to 151 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 2.0ms (36.1% of total)
ival-sub: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-mult: 1.0ms (18.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.852834859068691e+78
3.887035766244839e+81
Results
10.0ms128×0valid
Compiler

Compiled 197 to 151 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (36.6% of total)
ival-sub: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-mult: 1.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
1.073228027950977e+68
2.196522127378976e+71
Results
15.0ms128×0valid
Compiler

Compiled 157 to 119 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 6.0ms (59.2% of total)
ival-log: 2.0ms (19.7% of total)
ival-add: 1.0ms (9.9% of total)
ival-mult: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
177994962646950.47
1.7805228432692486e+21
16.0ms
-1.4206909856503814e+29
-4.20272707663747e+23
Results
26.0ms288×0valid
Compiler

Compiled 219 to 177 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 6.0ms (39.1% of total)
ival-log: 4.0ms (26.1% of total)
ival-add: 3.0ms (19.5% of total)
ival-mult: 2.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify28.0ms (0.3%)

Algorithm
egg-herbie
Rules
350×unsub-neg_binary64
150×distribute-lft-neg-in_binary64
148×neg-mul-1_binary64
90×cancel-sign-sub_binary64
80×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048121
192121
2144121
3189121
4258121
5329121
6421121
7590121
8777121
9795121
10796121
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 y #s(literal 1080863910568919/36028797018963968 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 1600000000000000056035194975090578768737285084772989209677922304 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (-.f64 (-.f64 y z) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 195000000000 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 1600000000000000000425757835333876424598438418899212945570111639255836142661009408 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(if (<=.f64 y #s(literal 4299999999999999928761291224103496452894253173902748504043523122659328 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 z #s(literal -26500000000000001863948697600 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 330000000000000000 binary64)) x (neg.f64 z)))
x
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
(if (<=.f64 y #s(literal 1080863910568919/36028797018963968 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 1080863910568919/36028797018963968 binary64)) (+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) (-.f64 (+.f64 x (-.f64 y z)) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 1600000000000000056035194975090578768737285084772989209677922304 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (-.f64 (-.f64 y z) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 1600000000000000056035194975090578768737285084772989209677922304 binary64)) (+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) (-.f64 (-.f64 y z) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 195000000000 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 195000000000 binary64)) (+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) (-.f64 (+.f64 x y) (*.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 1600000000000000000425757835333876424598438418899212945570111639255836142661009408 binary64)) (-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(if (<=.f64 y #s(literal 1600000000000000000425757835333876424598438418899212945570111639255836142661009408 binary64)) (+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(if (<=.f64 y #s(literal 4299999999999999928761291224103496452894253173902748504043523122659328 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 z #s(literal -26500000000000001863948697600 binary64)) (neg.f64 z) (if (<=.f64 z #s(literal 330000000000000000 binary64)) x (neg.f64 z)))
(if (<=.f64 z #s(literal -26500000000000001863948697600 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 z #s(literal 330000000000000000 binary64)) x (-.f64 #s(literal 0 binary64) z)))
x

soundness1.3s (12.8%)

Rules
3476×*-lowering-*.f32
3476×*-lowering-*.f64
3266×+-lowering-+.f64
3266×+-lowering-+.f32
2766×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02582506
18342244
226342176
083432176
027121
1231109
22771103
09091103
01341022
1427946
21447926
35552890
08319890
01012
12411
28411
335510
4170310
5465910
0826210
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 513 to 311 computations (39.4% saved)

preprocess59.0ms (0.6%)

Compiler

Compiled 314 to 136 computations (56.7% saved)

end0.0ms (0%)

Profiling

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