Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 10.4s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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)

sample1.0s (10%)

Results
774.0ms8255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 490.0ms
ival-sub: 177.0ms (36.1% of total)
ival-add: 116.0ms (23.7% of total)
ival-log: 114.0ms (23.3% of total)
ival-mult: 69.0ms (14.1% of total)
const: 11.0ms (2.2% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess203.0ms (1.9%)

Algorithm
2×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
1×iter limit
1×node limit
1×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)))

explain99.0ms (1%)

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
55.0ms512×0valid
Compiler

Compiled 113 to 32 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 8.0ms (29.3% of total)
ival-log: 7.0ms (25.6% of total)
ival-add: 6.0ms (22% of total)
ival-sub: 5.0ms (18.3% 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)

simplify239.0ms (2.3%)

Algorithm
1×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
1×iter limit
1×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)

localize58.0ms (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
25.0ms256×0valid
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 4.0ms (33.5% of total)
ival-log: 4.0ms (33.5% of total)
ival-add: 2.0ms (16.7% of total)
ival-mult: 2.0ms (16.7% 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
23.0ms
y
@0
(log y)
14.0ms
y
@-inf
(log y)
5.0ms
x
@0
(- (- x (- z y)) (* (+ y 1/2) (log y)))
5.0ms
y
@inf
(log y)
4.0ms
y
@0
(- (- x (- z y)) (* (+ y 1/2) (log y)))

rewrite328.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3826×*-lowering-*.f32
3826×*-lowering-*.f64
3328×+-lowering-+.f64
3328×+-lowering-+.f32
3144×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
17431
274230
0839430
Stop Event
1×iter limit
1×node limit
Counts
6 → 270
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 #s(literal 0 binary64) (-.f64 z y)) (*.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 #s(literal 0 binary64) (-.f64 z y)) (+.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 y (+.f64 (-.f64 x z) (*.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 y (+.f64 (-.f64 x z) (*.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 y (+.f64 (-.f64 x z) (*.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 y (+.f64 (-.f64 x z) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 z y)) (*.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 #s(literal 0 binary64) (-.f64 z y)))
(+.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 y (+.f64 (-.f64 x z) (*.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 y (+.f64 (-.f64 x z) (*.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 y (+.f64 (-.f64 x z) (*.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 x z) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 1/2 binary64) y))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (*.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (+.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 (*.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 y (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.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)))

simplify197.0ms (1.9%)

Algorithm
1×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
1×iter limit
1×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))

eval55.0ms (0.5%)

Compiler

Compiled 12373 to 1076 computations (91.3% saved)

prune50.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New38814402
Fresh000
Picked101
Done000
Total38914403
Accuracy
100.0%
Counts
403 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(-.f64 (-.f64 x (-.f64 z y)) (/.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))))))
▶78.6%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
99.8%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
78.6%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y)))
▶99.8%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
84.2%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
▶74.4%
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
44.1%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
71.7%
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
▶55.4%
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
27.1%
(-.f64 #s(literal 0 binary64) z)
79.8%
(*.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)))))
29.5%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
▶31.6%
x
Compiler

Compiled 420 to 288 computations (31.4% saved)

simplify167.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))
✓cost-diff0
(-.f64 z y)
✓cost-diff0
(-.f64 x (-.f64 z y))
✓cost-diff0
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
✓cost-diff0
(+.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓cost-diff0
(log.f64 y)
✓cost-diff0
(+.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓cost-diff0
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓cost-diff0
(-.f64 x (-.f64 z y))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y))
✓cost-diff256
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
Rules
1898×+-lowering-+.f64
1898×+-lowering-+.f32
1894×fnmadd-define
1774×--lowering--.f32
1774×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025153
168153
2203149
3752149
43548149
08307149
Stop Event
1×iter limit
1×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)))
1
(/ 1 (+ y 1/2))
(+ y 1/2)
1/2
(log y)
x
(- x (* (+ y 1/2) (log y)))
x
(* (+ y 1/2) (log y))
(+ y 1/2)
y
1/2
(log y)
(- (+ y x) (* (+ y 1/2) (log y)))
(+ y x)
y
x
(* (+ y 1/2) (log y))
(+ y 1/2)
1/2
(log y)
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
(- x (- z y))
x
(- z y)
z
y
(/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))
(* (+ (* y y) -1/4) (log y))
(+ (* y y) -1/4)
(* y y)
-1/4
(log y)
(+ y -1/2)
-1/2
Outputs
(- (- x (- z y)) (* (/ 1 (/ 1 (+ y 1/2))) (log y)))
(+.f64 x (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z)))
(- 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 (/ 1 (+ y 1/2)))
(+.f64 y #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(/ 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)
x
(- x (* (+ y 1/2) (log y)))
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(* (+ 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))
y
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
(- (+ y x) (* (+ y 1/2) (log y)))
(+.f64 (+.f64 x y) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(+ y x)
(+.f64 x y)
y
x
(* (+ 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)
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (/.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
(/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))))
(* (+ (* y y) -1/4) (log y))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(+ (* y y) -1/4)
(+.f64 (*.f64 y y) #s(literal -1/4 binary64))
(* y y)
(*.f64 y y)
-1/4
#s(literal -1/4 binary64)
(log y)
(log.f64 y)
(+ y -1/2)
(+.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize126.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 y)
✓accuracy99.9%
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))
✓accuracy78.6%
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64)))
✓accuracy100.0%
(+.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(log.f64 y)
✓accuracy99.9%
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓accuracy99.8%
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓accuracy100.0%
(+.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(log.f64 y)
✓accuracy100.0%
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓accuracy99.8%
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y))
Results
88.0ms256×0valid
Compiler

Compiled 174 to 26 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 27.0ms (51.2% of total)
ival-sub: 8.0ms (15.2% of total)
ival-mult: 7.0ms (13.3% of total)
ival-log: 6.0ms (11.4% of total)
ival-div: 5.0ms (9.5% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
15 → 300
Calls
Call 1
Inputs
#<alt (- (- x (- z y)) (* (/ 1 (/ 1 (+ y 1/2))) (log y)))>
#<alt (* (/ 1 (/ 1 (+ y 1/2))) (log y))>
#<alt (/ 1 (/ 1 (+ y 1/2)))>
#<alt (- x (- z y))>
#<alt (- x (* (+ y 1/2) (log y)))>
#<alt (* (+ y 1/2) (log y))>
#<alt (+ y 1/2)>
#<alt (log y)>
#<alt (- (+ y x) (* (+ y 1/2) (log y)))>
#<alt (+ y x)>
#<alt (- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))>
#<alt (- z y)>
#<alt (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))>
#<alt (/ 1 (+ y 1/2))>
#<alt (* (+ (* y y) -1/4) (log y))>
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 (* 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>
#<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))))>
#<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 (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt (- x (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))>
#<alt (- x (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (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>
#<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))))>
#<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 (- x (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 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)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))>
#<alt (- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))>
#<alt (- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))>
#<alt (- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))>
#<alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))>
#<alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))>
#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))>
#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))>
#<alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))>
#<alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))>
#<alt (- x (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))>
#<alt (- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))>
#<alt (* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 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 (* -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 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 (* -1/4 (log y))>
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))>
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))>
#<alt (+ (* -1/4 (log y)) (* (pow y 2) (log y)))>
#<alt (* -1 (* (pow y 2) (log (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))>
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))>
#<alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
1.0ms
y
@inf
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
1.0ms
y
@-inf
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
1.0ms
y
@0
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
0.0ms
z
@0
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))

rewrite382.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
2994×/-lowering-/.f32
2994×/-lowering-/.f64
2234×*-lowering-*.f32
2234×*-lowering-*.f64
1934×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02590
120590
2209386
0824986
Stop Event
1×iter limit
1×node limit
Counts
15 → 773
Calls
Call 1
Inputs
(- (- x (- z y)) (* (/ 1 (/ 1 (+ y 1/2))) (log y)))
(* (/ 1 (/ 1 (+ y 1/2))) (log y))
(/ 1 (/ 1 (+ y 1/2)))
(- x (- z y))
(- x (* (+ y 1/2) (log y)))
(* (+ y 1/2) (log y))
(+ y 1/2)
(log y)
(- (+ y x) (* (+ y 1/2) (log y)))
(+ y x)
(- (- x (- z y)) (/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2)))
(- z y)
(/ (* (+ (* y y) -1/4) (log y)) (+ y -1/2))
(/ 1 (+ y 1/2))
(* (+ (* y y) -1/4) (log y))
Outputs
(+.f64 x (neg.f64 (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 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 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.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 x (-.f64 z y)))
(+.f64 (-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 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 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (neg.f64 (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.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 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 (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 (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 x z) (+.f64 y (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))))))
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(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.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 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.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)) #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1/2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 (log.f64 y) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 (log.f64 y) (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (/.f64 (log.f64 y) (+.f64 y #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))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 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 (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))
(*.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 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 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)))
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(+.f64 (*.f64 (log.f64 y) (*.f64 y y)) (*.f64 (log.f64 y) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 (log.f64 y) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 y y) (log.f64 y)) (*.f64 #s(literal -1/4 binary64) (log.f64 y)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) (*.f64 (*.f64 y y) (log.f64 y)))
(fma.f64 (*.f64 y y) (log.f64 y) (*.f64 #s(literal -1/4 binary64) (log.f64 y)))
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(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/16 binary64)))) (neg.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))

simplify397.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
3766×+-lowering-+.f64
3766×+-lowering-+.f32
3572×*-lowering-*.f32
3572×*-lowering-*.f64
2056×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02883200
19652911
231322706
084532706
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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))))
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(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
x
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(- (+ 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)))
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1/2
(+ 1/2 y)
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y
(* y (+ 1 (* 1/2 (/ 1 y))))
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(- y z)
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(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
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x
(+ x y)
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y
(* y (+ 1 (/ x y)))
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y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))
(- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))
(- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))
(- (+ x y) (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 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)))))))))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
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(* -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)))))
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))
(* -1/4 (log y))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(* -1 (* (pow y 2) (log (/ 1 y))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y)))))
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))
Outputs
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
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 y #s(literal 1/2 binary64)))) x)))
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x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 z y) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x))))
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(- (+ x y) (* (log y) (+ 1/2 y)))
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(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
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(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) 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 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
(- 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 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) 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))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) 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))
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(*.f64 y (+.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y))))
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(*.f64 y (+.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
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(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))
(- 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 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) x)) #s(literal 1 binary64)))
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(+ x y)
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(* -1 z)
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(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
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(- x z)
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(- (+ x y) z)
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(- (+ x y) z)
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y
(* y (- (+ 1 (/ x y)) (/ z y)))
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(* y (- (+ 1 (/ x y)) (/ z y)))
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y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
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(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
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(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
(- x (+ z (* 1/2 (log y))))
(-.f64 x (+.f64 z (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(* 1/2 (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 y (+.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 y (+.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (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 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 y (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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 #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 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1/4 binary64)) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1/4 (log y))
(*.f64 (log.f64 y) #s(literal -1/4 binary64))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* -1 (* (pow y 2) (log (/ 1 y))))
(*.f64 y (*.f64 y (log.f64 y)))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (log.f64 y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (log.f64 y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (log.f64 y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y))
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))
(*.f64 y (*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/4 binary64)) (*.f64 y y)))))
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))
(*.f64 y (*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/4 binary64)) (*.f64 y y)))))
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2))))))
(*.f64 y (*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/4 binary64)) (*.f64 y y)))))

eval223.0ms (2.1%)

Compiler

Compiled 36122 to 2422 computations (93.3% saved)

prune1.4s (13.2%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1486151501
Fresh459
Picked325
Done000
Total1493221515
Accuracy
100.0%
Counts
1515 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.0%
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
▶99.4%
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))) (log.f64 y)))
45.8%
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/16 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 (*.f64 y y) #s(literal 1/4 binary64))))
48.4%
(-.f64 (+.f64 y x) (/.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))))))
74.3%
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
▶74.3%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
74.3%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
56.5%
(-.f64 (+.f64 y x) (*.f64 (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))
✓74.4%
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
59.2%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
30.0%
(-.f64 y (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
▶44.1%
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
44.1%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
▶71.7%
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
46.6%
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
41.1%
(-.f64 x (*.f64 y (log.f64 y)))
▶27.1%
(-.f64 #s(literal 0 binary64) z)
80.9%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
79.8%
(*.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)))))
29.5%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
81.9%
(*.f64 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
✓31.6%
x
Compiler

Compiled 677 to 458 computations (32.3% saved)

simplify282.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))
✓cost-diff0
(+.f64 y x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)))
✓cost-diff256
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y))
✓cost-diff256
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (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
(-.f64 #s(literal 0 binary64) z)
✓cost-diff25984
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))
✓cost-diff26240
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64))))
✓cost-diff26240
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))) (log.f64 y))
✓cost-diff26240
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))) (log.f64 y)))
Rules
1498×sum3-define
1320×+-lowering-+.f64
1320×+-lowering-+.f32
1288×fnmadd-define
1256×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030192
192186
2253182
3775143
42546143
56793143
08088143
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (- x (- z y)) (* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y)))
(- x (- z y))
x
(- z y)
z
y
(* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y))
(/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1)))
1
(* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))
(pow (pow (+ y 1/2) 1/2) -1)
(pow (+ y 1/2) 1/2)
(+ y 1/2)
1/2
-1
(log y)
(- 0 z)
0
z
(- x (- z (* (log y) -1/2)))
x
(- z (* (log y) -1/2))
z
(* (log y) -1/2)
(log y)
y
-1/2
(- y (* (/ 1 (/ 1 (+ y 1/2))) (log y)))
y
(* (/ 1 (/ 1 (+ y 1/2))) (log y))
(/ 1 (/ 1 (+ y 1/2)))
1
(/ 1 (+ y 1/2))
(+ y 1/2)
1/2
(log y)
(- (+ y x) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))
(+ y x)
y
x
(/ 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)
Outputs
(- (- x (- z y)) (* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y)))
(+.f64 x (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(- x (- z y))
(-.f64 (+.f64 x y) z)
x
(- z y)
(-.f64 z y)
z
y
(* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1)))
(+.f64 y #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(pow (pow (+ y 1/2) 1/2) -1)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(pow (+ y 1/2) 1/2)
(sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(log y)
(log.f64 y)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(- x (- z (* (log y) -1/2)))
(+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))
x
(- z (* (log y) -1/2))
(+.f64 z (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
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)
(- y (* (/ 1 (/ 1 (+ y 1/2))) (log y)))
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
y
(* (/ 1 (/ 1 (+ y 1/2))) (log y))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(/ 1 (/ 1 (+ y 1/2)))
(+.f64 y #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(/ 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)
(- (+ y x) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(+ y x)
(+.f64 x y)
y
x
(/ 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 (log.f64 y) (-.f64 #s(literal -1/2 binary64) 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)

localize269.0ms (2.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
✓accuracy99.9%
(-.f64 (+.f64 y x) (/.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))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y))
✓accuracy99.8%
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
✓accuracy100.0%
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
✓accuracy100.0%
(log.f64 y)
✓accuracy100.0%
(-.f64 x (-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
✓accuracy100.0%
(-.f64 z (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))) (log.f64 y))
✓accuracy99.0%
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy98.9%
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))
Results
118.0ms256×0valid
Compiler

Compiled 233 to 31 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 12.0ms (27.1% of total)
ival-sub: 10.0ms (22.6% of total)
ival-div: 8.0ms (18.1% of total)
ival-mult: 7.0ms (15.8% of total)
ival-log: 4.0ms (9% of total)
ival-add: 3.0ms (6.8% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
18 → 300
Calls
Call 1
Inputs
#<alt (- (- x (- z y)) (* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y)))>
#<alt (* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y))>
#<alt (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1)))>
#<alt (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))>
#<alt (- 0 z)>
#<alt (- x (- z (* (log y) -1/2)))>
#<alt (- z (* (log y) -1/2))>
#<alt (* (log y) -1/2)>
#<alt (log y)>
#<alt (- y (* (/ 1 (/ 1 (+ y 1/2))) (log y)))>
#<alt (* (/ 1 (/ 1 (+ y 1/2))) (log y))>
#<alt (/ 1 (/ 1 (+ y 1/2)))>
#<alt (/ 1 (+ y 1/2))>
#<alt (- (+ y x) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))>
#<alt (/ 1 (/ (/ 1 (+ y 1/2)) (log y)))>
#<alt (+ y x)>
#<alt (/ (/ 1 (+ y 1/2)) (log y))>
#<alt (pow (pow (+ y 1/2) 1/2) -1)>
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 (* 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>
#<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))))>
#<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 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (- (* -1/2 (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 (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 (- (* 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 (* 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>
#<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))))>
#<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 (- x (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))>
#<alt (- (+ x (* y (- 1 (log y)))) (* 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)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt (- (+ x y) (* (log y) (+ 1/2 y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))>
#<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 x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -2 (/ y (sqrt 2))))>
#<alt (+ (sqrt 2) (* y (- (* 1/2 (/ (* y (- 8 (* 4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* y (- (* y (+ (* -1/2 (/ (* y (+ 16 (* -2 (/ (- 8 (* 4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 8 (* 4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 2 (/ 1 (sqrt 2))))))>
#<alt (sqrt (/ 1 y))>
#<alt (+ (sqrt (/ 1 y)) (* -1/4 (sqrt (/ 1 (pow y 3)))))>
#<alt (+ (sqrt (/ 1 y)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5))))))>
#<alt (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ 1/8 (* 1/16 y)))) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5)))))))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/8 (sqrt (/ 1 (pow y 5)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (sqrt y)) (* 1/2 (* (sqrt (/ 1 y)) (+ 1/8 (* -1/16 (/ y (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(pow (pow (+ y 1/2) 1/2) -1)
0.0ms
y
@inf
(/ (/ 1 (+ y 1/2)) (log y))
0.0ms
y
@-inf
(/ (/ 1 (+ y 1/2)) (log y))
0.0ms
y
@0
(pow (pow (+ y 1/2) 1/2) -1)
0.0ms
y
@inf
(pow (pow (+ y 1/2) 1/2) -1)

rewrite375.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2322×/-lowering-/.f32
2322×/-lowering-/.f64
2254×*-lowering-*.f32
2254×*-lowering-*.f64
1892×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030127
125398
2237293
0878493
Stop Event
1×iter limit
1×node limit
Counts
18 → 764
Calls
Call 1
Inputs
(- (- x (- z y)) (* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y)))
(* (/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))) (log y))
(/ 1 (* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1)))
(* (pow (pow (+ y 1/2) 1/2) -1) (pow (pow (+ y 1/2) 1/2) -1))
(- 0 z)
(- x (- z (* (log y) -1/2)))
(- z (* (log y) -1/2))
(* (log y) -1/2)
(log y)
(- y (* (/ 1 (/ 1 (+ y 1/2))) (log y)))
(* (/ 1 (/ 1 (+ y 1/2))) (log y))
(/ 1 (/ 1 (+ y 1/2)))
(/ 1 (+ y 1/2))
(- (+ y x) (/ 1 (/ (/ 1 (+ y 1/2)) (log y))))
(/ 1 (/ (/ 1 (+ y 1/2)) (log y)))
(+ y x)
(/ (/ 1 (+ y 1/2)) (log y))
(pow (pow (+ y 1/2) 1/2) -1)
Outputs
(+.f64 x (neg.f64 (+.f64 (-.f64 z y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 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 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.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 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (+.f64 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (+.f64 y (-.f64 x z)) (*.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 y (-.f64 x z)) (*.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 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 (+.f64 y (-.f64 x z)) (*.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 y (-.f64 x z)) (*.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 (log.f64 y) (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))))) (fma.f64 (neg.f64 (/.f64 (log.f64 y) (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 (log.f64 y) (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 (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 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.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 0 binary64) (log.f64 y)) (-.f64 #s(literal 0 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 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 0 binary64) (+.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 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (log.f64 y) #s(literal -1 binary64))))) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.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) (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))))) (fma.f64 (neg.f64 (/.f64 (log.f64 y) (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 (log.f64 y) (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 (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 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.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 0 binary64) (log.f64 y)) (-.f64 #s(literal 0 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 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 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 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 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 z y)) (+.f64 y (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 z y))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (log.f64 y) #s(literal -1 binary64))))) (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (/.f64 (log.f64 y) #s(literal -1 binary64)))))
(-.f64 x (+.f64 (-.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)) (log.f64 y)))
(-.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 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 (+.f64 y (-.f64 x z)) (*.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 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (*.f64 (*.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)) (log.f64 y)))))))
(-.f64 (/.f64 (*.f64 (+.f64 y (-.f64 x z)) (+.f64 y (-.f64 x z))) (+.f64 (+.f64 y (-.f64 x z)) (*.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 y (-.f64 x z)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (+.f64 y (-.f64 x z)))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y)) (+.f64 y (-.f64 x z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 y (-.f64 x z)))
(fma.f64 (log.f64 y) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (-.f64 x z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y) (+.f64 y (-.f64 x z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 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)))))
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(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))))
(+.f64 x y)
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(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))
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(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 y) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #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 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
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(/.f64 (neg.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 y #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 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
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(*.f64 (pow.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1/2 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 -1/2 binary64)))
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(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (pow.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))

simplify298.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
3706×*-lowering-*.f32
3706×*-lowering-*.f64
3678×+-lowering-+.f64
3678×+-lowering-+.f32
1116×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03633079
111922774
235942567
083452567
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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)))))))))
(* 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
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(/ 1 y)
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(/ (- (+ 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)
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(* -1 z)
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(* -1 z)
(* -1 z)
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(- (* -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)))
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(+ x (* -1/2 (log y)))
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(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
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(- (+ 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))))
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(* -1 (* z (- (* -1/2 (/ (log y) z)) 1)))
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(- 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)))))
(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))))
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(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 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)))))
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(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
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(* -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)))))))))
(* 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)))
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(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
1/2
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y
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(* y (+ 1 (* 1/2 (/ 1 y))))
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(* y (+ 1 (* 1/2 (/ 1 y))))
2
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(/ 1 y)
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(/ (- (+ 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)
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(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
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(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
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(- y (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
x
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(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* 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)))
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(* 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)))))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
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(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ 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))
(sqrt 2)
(+ (sqrt 2) (* -2 (/ y (sqrt 2))))
(+ (sqrt 2) (* y (- (* 1/2 (/ (* y (- 8 (* 4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* y (- (* y (+ (* -1/2 (/ (* y (+ 16 (* -2 (/ (- 8 (* 4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 8 (* 4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 2 (/ 1 (sqrt 2))))))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* -1/4 (sqrt (/ 1 (pow y 3)))))
(+ (sqrt (/ 1 y)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ 1/8 (* 1/16 y)))) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5)))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/8 (sqrt (/ 1 (pow y 5)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/8 (sqrt y)) (* 1/2 (* (sqrt (/ 1 y)) (+ 1/8 (* -1/16 (/ y (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
Outputs
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
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(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
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(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) 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 y #s(literal 1/2 binary64)))) x)))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)))
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(- (+ x y) (* (log y) (+ 1/2 y)))
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(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(* -1 z)
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(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
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(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(* -1 z)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) z)) (-.f64 #s(literal 0 binary64) 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 y #s(literal 1/2 binary64)))) x)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) x)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(+.f64 (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) 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 y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
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(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
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(* 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)))))))))
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(+ (sqrt (/ 1 y)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ 1/8 (* 1/16 y)))) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 y #s(literal 1/16 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/8 (sqrt (/ 1 (pow y 5)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+ (* -1 (/ (+ (* -1/8 (sqrt y)) (* 1/2 (* (sqrt (/ 1 y)) (+ 1/8 (* -1/16 (/ y (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y #s(literal -1/16 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 y (*.f64 y y))))

eval152.0ms (1.5%)

Compiler

Compiled 24502 to 2719 computations (88.9% saved)

prune176.0ms (1.7%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1195201215
Fresh51015
Picked505
Done022
Total1205321237
Accuracy
100.0%
Counts
1237 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
11.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
69.0%
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
45.8%
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/16 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 (*.f64 y y) #s(literal 1/4 binary64))))
74.3%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))))
59.1%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))))
▶59.1%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
56.5%
(-.f64 (+.f64 y x) (*.f64 (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))
✓74.4%
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
59.2%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
41.7%
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
44.0%
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
23.4%
(-.f64 y (/.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))))))
30.0%
(-.f64 y (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
44.1%
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64))))
29.5%
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
▶44.1%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
16.0%
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
29.5%
(-.f64 y (*.f64 y (log.f64 y)))
46.6%
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
71.6%
(-.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) z))))
41.1%
(-.f64 x (*.f64 y (log.f64 y)))
56.5%
(-.f64 x z)
5.2%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
11.0%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
▶17.2%
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
79.8%
(*.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)))))
29.5%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
▶81.7%
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))))
▶27.1%
(neg.f64 z)
✓31.6%
x
Compiler

Compiled 849 to 582 computations (31.4% saved)

simplify184.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))
✓cost-diff0
(+.f64 y x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y))))
✓cost-diff256
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
✓cost-diff0
(log.f64 y)
✓cost-diff0
(+.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓cost-diff0
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓cost-diff0
(log.f64 y)
✓cost-diff0
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
✓cost-diff-64
(neg.f64 z)
✓cost-diff128
(+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
✓cost-diff128
(-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y)))
✓cost-diff640
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))))
Rules
1896×fmsub-define
1792×fmm-def
1668×fma-lowering-fma.f32
1668×fma-lowering-fma.f64
1640×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028164
180158
2225152
3843151
43757144
08551144
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))
y
(+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y)))
1
(- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))
(+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y))))
(/ x y)
x
(* (log (/ 1 y)) (+ 1 (/ 1/2 y)))
(log (/ 1 y))
(/ 1 y)
(+ 1 (/ 1/2 y))
(/ 1/2 y)
1/2
(/ z y)
z
(neg z)
z
(* (log y) -1/2)
(log y)
y
-1/2
(- y (* (+ y 1/2) (log y)))
y
(* (+ y 1/2) (log y))
(+ y 1/2)
1/2
(log y)
(- (+ y x) (/ 1 (/ 1 (* y (log y)))))
(+ y x)
y
x
(/ 1 (/ 1 (* y (log y))))
1
(/ 1 (* y (log y)))
(* y (log y))
(log y)
Outputs
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))
(+.f64 y (+.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z) x))
y
(+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y)))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 x y) (/.f64 z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (log.f64 y))))
1
#s(literal 1 binary64)
(- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))
(-.f64 (-.f64 (/.f64 x y) (/.f64 z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (log.f64 y)))
(+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y))))
(+.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(/ x y)
(/.f64 x y)
x
(* (log (/ 1 y)) (+ 1 (/ 1/2 y)))
(*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(log (/ 1 y))
(log.f64 (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ 1 (/ 1/2 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
(/ z y)
(/.f64 z y)
z
(neg z)
(-.f64 #s(literal 0 binary64) z)
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)
(- y (* (+ y 1/2) (log y)))
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
y
(* (+ y 1/2) (log y))
(*.f64 (log.f64 y) (+.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)
(- (+ y x) (/ 1 (/ 1 (* y (log y)))))
(-.f64 x (*.f64 y (+.f64 (log.f64 y) #s(literal -1 binary64))))
(+ y x)
(+.f64 y x)
y
x
(/ 1 (/ 1 (* y (log y))))
(*.f64 y (log.f64 y))
1
#s(literal 1 binary64)
(/ 1 (* y (log y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))
(* y (log y))
(*.f64 y (log.f64 y))
(log y)
(log.f64 y)

localize122.0ms (1.2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y))))
✓accuracy99.6%
(*.f64 y (log.f64 y))
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))
✓accuracy100.0%
(+.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(log.f64 y)
✓accuracy99.8%
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓accuracy99.8%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓accuracy100.0%
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
✓accuracy100.0%
(log.f64 y)
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
✓accuracy99.7%
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
✓accuracy97.9%
(-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))
✓accuracy81.9%
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))))
Results
79.0ms256×0valid
Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 11.0ms (27.4% of total)
ival-mult: 10.0ms (24.9% of total)
ival-log: 7.0ms (17.5% of total)
ival-add: 6.0ms (15% of total)
ival-sub: 4.0ms (10% of total)
const: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
16 → 300
Calls
Call 1
Inputs
#<alt (* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))>
#<alt (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y)))>
#<alt (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))>
#<alt (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y))))>
#<alt (neg z)>
#<alt (* (log y) -1/2)>
#<alt (log y)>
#<alt (- y (* (+ y 1/2) (log y)))>
#<alt (* (+ y 1/2) (log y))>
#<alt (+ y 1/2)>
#<alt (- (+ y x) (/ 1 (/ 1 (* y (log y)))))>
#<alt (/ 1 (/ 1 (* y (log y))))>
#<alt (+ y x)>
#<alt (/ 1 (* y (log y)))>
#<alt (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))>
#<alt (* y (log y))>
Outputs
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)>
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)>
#<alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))>
#<alt (* y (+ 1 (+ (log -1) (log (/ -1 y)))))>
#<alt (* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))>
#<alt (* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))>
#<alt (* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))>
#<alt (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)))>
#<alt (+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))>
#<alt (+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))>
#<alt (+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))>
#<alt (* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))>
#<alt (* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))>
#<alt (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))>
#<alt (+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))>
#<alt (+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))>
#<alt (+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))>
#<alt (* -1 z)>
#<alt (* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))>
#<alt (* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))>
#<alt (* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))>
#<alt (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))>
#<alt (- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))>
#<alt (- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))>
#<alt (- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))>
#<alt (/ (- (+ x (* -1/2 (log y))) z) y)>
#<alt (/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)>
#<alt (/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)>
#<alt (/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)>
#<alt (+ 1 (log (/ 1 y)))>
#<alt (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))>
#<alt (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))>
#<alt (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))>
#<alt (+ 1 (+ (log -1) (log (/ -1 y))))>
#<alt (+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))>
#<alt (+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))>
#<alt (+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))>
#<alt (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))>
#<alt (+ 1 (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))>
#<alt (+ 1 (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))>
#<alt (+ 1 (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ 1 z) (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z))) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 z) (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z))) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 z) (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z))) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) z)) (/ 1 y))))>
#<alt (- (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ z y))>
#<alt (- (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) (/ z y))>
#<alt (- (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) (/ z y))>
#<alt (- (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) (/ z y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ z (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ z (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ z (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ z y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ z y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ z y)) x)) (/ 1 y))))>
#<alt (/ (- (+ x (* -1/2 (log y))) z) y)>
#<alt (/ (- (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) z) y)>
#<alt (/ (- (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) z) y)>
#<alt (/ (- (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) z) y)>
#<alt (log (/ 1 y))>
#<alt (- (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (/ z y))>
#<alt (- (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (/ z y))>
#<alt (- (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (/ z y))>
#<alt (+ (log -1) (log (/ -1 y)))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y))))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y))))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y))))>
#<alt (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))>
#<alt (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))>
#<alt (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))>
#<alt (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z)) (/ 1 y)))>
#<alt (* z (- (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z)) (/ 1 y)))>
#<alt (* z (- (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) z)) (/ 1 y))))>
#<alt (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))>
#<alt (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))>
#<alt (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))>
#<alt (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)))>
#<alt (* x (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)))>
#<alt (* x (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ 1 y))))>
#<alt (/ (+ x (* -1/2 (log y))) y)>
#<alt (/ (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) y)>
#<alt (/ (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) y)>
#<alt (/ (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) y)>
#<alt (log (/ 1 y))>
#<alt (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))>
#<alt (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))>
#<alt (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))>
#<alt (+ (log -1) (log (/ -1 y)))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) y))))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) y))))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) 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 (* -1/2 (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 (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 (- (* 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 (* 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>
#<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))))>
#<alt x>
#<alt (+ x (* y (- 1 (log y))))>
#<alt (+ x (* y (- 1 (log y))))>
#<alt (+ x (* y (- 1 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y (* y (log y)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt (- (+ x y) (* y (log y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))>
#<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 x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (/ 1 (* y (log y)))>
#<alt (/ 1 (* y (log y)))>
#<alt (/ 1 (* y (log y)))>
#<alt (/ 1 (* 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 (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1/2 (/ (log y) y))>
#<alt (/ (+ (* -1 (* y (log y))) (* -1/2 (log y))) y)>
#<alt (/ (+ (* -1 (* y (log y))) (* -1/2 (log y))) y)>
#<alt (/ (+ (* -1 (* y (log y))) (* -1/2 (log y))) y)>
#<alt (log (/ 1 y))>
#<alt (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))>
#<alt (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))>
#<alt (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))>
#<alt (+ (log -1) (log (/ -1 y)))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* 1/2 (/ (+ (log -1) (log (/ -1 y))) y))))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* 1/2 (/ (+ (log -1) (log (/ -1 y))) y))))>
#<alt (+ (log -1) (+ (log (/ -1 y)) (* 1/2 (/ (+ (log -1) (log (/ -1 y))) y))))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* y (log y))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* -1 (* y (log (/ 1 y))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* y (+ (log -1) (* -1 (log (/ -1 y)))))>
Calls

75 calls:

TimeVariablePointExpression
9.0ms
y
@0
(/ 1 (/ 1 (* y (log y))))
5.0ms
x
@0
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))
3.0ms
y
@0
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))
3.0ms
y
@-inf
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))
2.0ms
z
@0
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))

rewrite320.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
2332×/-lowering-/.f32
2332×/-lowering-/.f64
2330×*-lowering-*.f32
2330×*-lowering-*.f64
2278×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028128
1210122
22143111
08326111
Stop Event
1×iter limit
1×node limit
Counts
16 → 482
Calls
Call 1
Inputs
(* y (+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))))
(+ 1 (- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y)))
(- (+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y)))) (/ z y))
(+ (/ x y) (* (log (/ 1 y)) (+ 1 (/ 1/2 y))))
(neg z)
(* (log y) -1/2)
(log y)
(- y (* (+ y 1/2) (log y)))
(* (+ y 1/2) (log y))
(+ y 1/2)
(- (+ y x) (/ 1 (/ 1 (* y (log y)))))
(/ 1 (/ 1 (* y (log y))))
(+ y x)
(/ 1 (* y (log y)))
(* (log (/ 1 y)) (+ 1 (/ 1/2 y)))
(* y (log y))
Outputs
(+.f64 y (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))))
(+.f64 (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))))
(fma.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))))
(fma.f64 (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y)) y y)
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))) #s(literal 3 binary64))) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))) #s(literal 2 binary64)) (*.f64 y (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y)))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y))) #s(literal 2 binary64))) (-.f64 y (*.f64 y (+.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (-.f64 x z) y)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (log.f64 y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (log.f64 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y #s(literal 1/2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (log.f64 y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y #s(literal 1/2 binary64))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y))))
(/.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (log.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y))) #s(literal -1 binary64))
(pow.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y (log.f64 y))
(*.f64 y (/.f64 (log.f64 y) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal -1 binary64)))
(*.f64 y (pow.f64 (log.f64 y) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) y)
(*.f64 (*.f64 y (log.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 y) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)) y)

simplify299.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4016×+-lowering-+.f64
4016×+-lowering-+.f32
3264×*-lowering-*.f32
3264×*-lowering-*.f64
1770×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02203473
17383189
225842981
082022981
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(* y (+ 1 (log (/ 1 y))))
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(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (+ 1 (+ (log -1) (log (/ -1 y)))))
(* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))
(* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))
(* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))
(* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)))
(+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))
(+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))
(+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))
x
(* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))
(* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))
(* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))
(* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))
(+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))
(+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))
(+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))
(* -1 z)
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(* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))
(* -1 z)
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(* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))
(- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))
(- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))
(- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))
(- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))
(/ x y)
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))
(/ (- (+ x (* -1/2 (log y))) z) y)
(/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)
(/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)
(/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)
(+ 1 (log (/ 1 y)))
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(- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))
(- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))
(+ 1 (+ (log -1) (log (/ -1 y))))
(+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))
(+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))
(+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))
(+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))
(+ 1 (+ (* -1 (/ z y)) (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))
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(* -1 (/ z y))
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(* -1 (* z (+ (* -1 (/ (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) z)) (/ 1 y))))
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(- (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) (/ z y))
(- (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)) (/ z y))
(/ x y)
(* x (- (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ z (* x y))))
(* x (- (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ z (* x y))))
(* x (- (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x)) (/ z (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ z y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ z y)) x)) (/ 1 y))))
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(/ (- (+ x (* -1/2 (log y))) z) y)
(/ (- (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) z) y)
(/ (- (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) z) y)
(/ (- (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) z) y)
(log (/ 1 y))
(- (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (/ z y))
(- (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (/ z y))
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(+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y))))
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(* z (- (+ (/ x (* y z)) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) z)) (/ 1 y)))
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(/ (+ x (* -1/2 (log y))) y)
(/ (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) y)
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(/ (+ x (+ (* -1 (* y (log y))) (* -1/2 (log y)))) y)
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(* -1 z)
(* -1 z)
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(* -1 z)
(* -1 z)
(* -1 z)
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(* -1/2 (log y))
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(* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))
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(* 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
(+ 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))))
x
(+ x (* y (- 1 (log y))))
(+ x (* y (- 1 (log y))))
(+ x (* y (- 1 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (* -1 (log (/ 1 y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- y (* y (log y)))
(- (+ x y) (* y (log y)))
(- (+ x y) (* y (log y)))
(- (+ x y) (* y (log y)))
x
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* 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)))))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ 1 (* y (log y)))
(/ 1 (* y (log y)))
(/ 1 (* y (log y)))
(/ 1 (* y (log y)))
(/ -1 (* y (log (/ 1 y))))
(/ -1 (* y (log (/ 1 y))))
(/ -1 (* y (log (/ 1 y))))
(/ -1 (* y (log (/ 1 y))))
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(/ 1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1/2 (/ (log y) y))
(/ (+ (* -1 (* y (log y))) (* -1/2 (log y))) y)
(/ (+ (* -1 (* y (log y))) (* -1/2 (log y))) y)
(/ (+ (* -1 (* y (log y))) (* -1/2 (log y))) y)
(log (/ 1 y))
(+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))
(+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))
(+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))
(+ (log -1) (log (/ -1 y)))
(+ (log -1) (+ (log (/ -1 y)) (* 1/2 (/ (+ (log -1) (log (/ -1 y))) y))))
(+ (log -1) (+ (log (/ -1 y)) (* 1/2 (/ (+ (log -1) (log (/ -1 y))) y))))
(+ (log -1) (+ (log (/ -1 y)) (* 1/2 (/ (+ (log -1) (log (/ -1 y))) y))))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
Outputs
(- (+ x (* -1/2 (log y))) z)
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (-.f64 x z))
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z)
(* y (+ 1 (log (/ 1 y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)))))
(* y (+ 1 (+ (log -1) (log (/ -1 y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (+.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x)) y))))
(* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (+.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x)) y))))
(* -1 (* y (- (+ (* -1 (+ 1 (+ (log -1) (log (/ -1 y))))) (+ (* -1 (/ x y)) (* -1/2 (/ (+ (log -1) (log (/ -1 y))) y)))) (* -1 (/ z y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (+.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x)) y))))
(* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)))
(*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))
(+.f64 x (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
(+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))
(+.f64 x (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
(+ x (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))))
(+.f64 x (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
x
(* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))))
(* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))))
(* x (+ 1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))) (-.f64 #s(literal 0 binary64) x))
(* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
(+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) z)
(+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) z)
(+ (* -1 z) (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(* z (- (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(* -1 (* z (+ 1 (* -1 (/ (* y (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y)))) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))))
(- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))))
(- (+ 1 (+ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) (/ x y))) (/ z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 z y)) x))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 z y)) x))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y)))) x))) (/ z (* x y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 z y)) x))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (log (/ 1 y)) (+ 1 (* 1/2 (/ 1 y))))) (/ z y)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)))
(/ (- (+ x (* -1/2 (log y))) z) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (-.f64 x z)) y)
(/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)
(/.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z) y)
(/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)
(/.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z) y)
(/ (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) y)
(/.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y)) z) y)
(+ 1 (log (/ 1 y)))
(-.f64 #s(literal 1 binary64) (log.f64 y))
(- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))))
(- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))))
(- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z))))
(+ 1 (+ (log -1) (log (/ -1 y))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x)) y)))
(+ 1 (+ (log -1) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 x) (* -1/2 (+ (log -1) (log (/ -1 y))))) (* -1 z)) y)))))
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1/2
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eval103.0ms (1%)

Compiler

Compiled 18816 to 1923 computations (89.8% saved)

prune113.0ms (1.1%)

Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New80911820
Fresh42125
Picked235
Done022
Total81537852
Accuracy
100.0%
Counts
852 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
11.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))
69.0%
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
59.1%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) y)))
59.1%
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))))
56.5%
(-.f64 (+.f64 y x) (*.f64 (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))
✓74.4%
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
59.2%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
41.7%
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
44.0%
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
23.4%
(-.f64 y (/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (-.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
30.0%
(-.f64 y (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
29.5%
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
44.1%
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64))))
29.5%
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
✓44.1%
(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
16.0%
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
29.5%
(-.f64 y (*.f64 y (log.f64 y)))
46.6%
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
71.6%
(-.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) z))))
41.1%
(-.f64 x (*.f64 y (log.f64 y)))
56.5%
(-.f64 x z)
5.2%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
11.0%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
✓17.2%
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
79.8%
(*.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)))))
72.0%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
22.5%
(*.f64 y (/.f64 x y))
29.5%
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
18.8%
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
21.9%
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
38.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
45.9%
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 z y))))
18.4%
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
✓27.1%
(neg.f64 z)
✓31.6%
x
Compiler

Compiled 1220 to 516 computations (57.7% saved)

regimes103.0ms (1%)

Counts
62 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 z y))))
(-.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) z))))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.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 y (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y))))
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (*.f64 (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))
(-.f64 (-.f64 x (-.f64 z y)) (/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)) (+.f64 y #s(literal -1/2 binary64))))
(*.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 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 x y) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 z y))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (*.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) (/.f64 y z))))
(-.f64 y (/.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 y (/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (log.f64 y)) (-.f64 (+.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (/.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 y x) (/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/16 binary64)) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64)))) (+.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(-.f64 (-.f64 x (-.f64 z y)) (/.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 y (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y) (log.f64 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #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 -1 binary64)))) (log.f64 y)))
Outputs
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Calls

5 calls:

23.0ms
z
20.0ms
x
20.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
20.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
16.0ms
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)

regimes97.0ms (0.9%)

Counts
41 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 z y))))
(-.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) z))))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Calls

5 calls:

45.0ms
x
15.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
12.0ms
z
11.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
11.0ms
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)

regimes46.0ms (0.4%)

Counts
40 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 z y))))
(-.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) z))))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 y))) (+.f64 y #s(literal 1/2 binary64))))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (log.f64 y)))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y))))
(-.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
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:

21.0ms
y
12.0ms
x
11.0ms
z
Results
AccuracySegmentsBranch
99.2%3x
98.9%2y
99.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.3%)

Counts
30 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.f64 y (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Outputs
(-.f64 x z)
(-.f64 (+.f64 y 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))))
Calls

3 calls:

10.0ms
z
10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
76.3%2x
91.4%3z
88.9%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts
29 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
(-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 y)))
(-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (log.f64 y)))))
(-.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 x) (*.f64 y (log.f64 y)))
Calls

2 calls:

10.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
88.5%2y
81.1%5z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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)))
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

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
82.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 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 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 x z)
Calls

3 calls:

8.0ms
z
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
71.0%3x
76.6%3z
72.5%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
Outputs
(-.f64 x z)
(-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(-.f64 x z)
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
71.2%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
Outputs
(-.f64 x z)
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
Calls

3 calls:

7.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
67.7%2y
62.4%3x
62.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(*.f64 y (/.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 z y))))
(/.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 (log.f64 y) #s(literal -1/2 binary64))
Outputs
(-.f64 x z)
Calls

3 calls:

7.0ms
y
5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
56.5%1z
56.5%1x
56.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

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

3 calls:

6.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
49.1%3x
35.0%2y
49.0%3z
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
y
1.0ms
z
Results
AccuracySegmentsBranch
31.6%1y
31.6%1z
31.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.0034547459010865395
0.046618870268226524
Results
7.0ms96×0valid
Compiler

Compiled 177 to 123 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.7% of total)
ival-log: 1.0ms (24.7% of total)
ival-add: 1.0ms (24.7% of total)
ival-mult: 1.0ms (24.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6325.075143776958
305637550.7734362
18.0ms
-5.949634468834964e+168
-1.119738868170758e+163
Results
22.0ms272×0valid
Compiler

Compiled 418 to 302 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 4.0ms (29% of total)
ival-mult: 4.0ms (29% of total)
ival-sub: 3.0ms (21.7% of total)
ival-add: 3.0ms (21.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
59963795.77433774
1633663496.7069755
Results
8.0ms112×0valid
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)

bsearch8.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
2.186313089943594e+176
3.5627006004285226e+176
Results
5.0ms64×0valid
Compiler

Compiled 109 to 83 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.2% of total)
ival-log: 1.0ms (37.2% of total)
ival-add: 1.0ms (37.2% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
6325.075143776958
305637550.7734362
20.0ms
-1.036872248375062e+22
-2299182.6699797483
Results
30.0ms288×0valid
Compiler

Compiled 363 to 267 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 9.0ms (48.6% of total)
ival-log: 4.0ms (21.6% of total)
ival-sub: 3.0ms (16.2% of total)
ival-mult: 2.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.716672127956249e-5
6325.075143776958
20.0ms
-1.036872248375062e+22
-2299182.6699797483
Results
25.0ms304×0valid
Compiler

Compiled 344 to 262 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (30.1% of total)
ival-sub: 3.0ms (22.6% of total)
ival-add: 3.0ms (22.6% of total)
ival-mult: 2.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.186313089943594e+176
3.5627006004285226e+176
Results
9.0ms64×0valid
Compiler

Compiled 89 to 67 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (60.3% of total)
ival-sub: 1.0ms (15.1% of total)
ival-log: 1.0ms (15.1% of total)
ival-add: 1.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch338.0ms (3.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
307.0ms
4.2072742813540406e+129
5.289940433848643e+131
23.0ms
-73052579.30634482
-1.2218768079383265e-32
Results
321.0ms304×0valid
Compiler

Compiled 230 to 186 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 311.0ms
ival-log: 287.0ms (92.2% of total)
ival-sub: 19.0ms (6.1% of total)
ival-add: 3.0ms (1% of total)
ival-mult: 2.0ms (0.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify29.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
302×unsub-neg_binary64
154×distribute-lft-neg-in_binary64
136×neg-mul-1_binary64
96×cancel-sign-sub_binary64
84×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065180
1121180
2181180
3227180
4293180
5362180
6470180
7626180
8761180
9774180
10775180
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.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)
(if (<=.f64 y #s(literal 3242591731706757/72057594037927936 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 z #s(literal -11800000000000000545297493939203908078018422204660741062059357963459876526722597691967959084751706120309199574344663100502664807036274800137494119300759967991070720 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 20000000 binary64)) (-.f64 (+.f64 y 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))))))
(if (<=.f64 y #s(literal 1300000000 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 280000000000000024580283513296791483656451121233192378609185503077122324194766387933029468742133327949573799248233986709047674640791212107306689664984045319429606795586742255616 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 z #s(literal -13500000000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 90000000 binary64)) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 x z)))
(if (<=.f64 z #s(literal -2400000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 175 binary64)) (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (-.f64 x z)))
(if (<=.f64 y #s(literal 225000000000000001676020612966721975574448861181209621280919571795343966805258636059336972184129088141904760585626545413838222612382198966195378079251153738346721251906098823168 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 x #s(literal -72000000 binary64)) x (if (<=.f64 x #s(literal 5499999999999999836281852898352893364974108386990777326308256843259021163809454461899286043871498129216796909672932437668386570240 binary64)) (neg.f64 z) x))
x
Outputs
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (+.f64 x (-.f64 y z)) (*.f64 (+.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 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
(if (<=.f64 y #s(literal 3242591731706757/72057594037927936 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 3242591731706757/72057594037927936 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 z #s(literal -11800000000000000545297493939203908078018422204660741062059357963459876526722597691967959084751706120309199574344663100502664807036274800137494119300759967991070720 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 20000000 binary64)) (-.f64 (+.f64 y 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))))))
(if (<=.f64 z #s(literal -11800000000000000545297493939203908078018422204660741062059357963459876526722597691967959084751706120309199574344663100502664807036274800137494119300759967991070720 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 20000000 binary64)) (-.f64 (+.f64 x y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 x (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))))
(if (<=.f64 y #s(literal 1300000000 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 1300000000 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 280000000000000024580283513296791483656451121233192378609185503077122324194766387933029468742133327949573799248233986709047674640791212107306689664984045319429606795586742255616 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 280000000000000024580283513296791483656451121233192378609185503077122324194766387933029468742133327949573799248233986709047674640791212107306689664984045319429606795586742255616 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 z #s(literal -13500000000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 90000000 binary64)) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 x z)))
(if (<=.f64 z #s(literal -2400000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 175 binary64)) (-.f64 x (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (-.f64 x z)))
(if (<=.f64 z #s(literal -2400000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 175 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (-.f64 x z)))
(if (<=.f64 y #s(literal 225000000000000001676020612966721975574448861181209621280919571795343966805258636059336972184129088141904760585626545413838222612382198966195378079251153738346721251906098823168 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 x #s(literal -72000000 binary64)) x (if (<=.f64 x #s(literal 5499999999999999836281852898352893364974108386990777326308256843259021163809454461899286043871498129216796909672932437668386570240 binary64)) (neg.f64 z) x))
(if (<=.f64 x #s(literal -72000000 binary64)) x (if (<=.f64 x #s(literal 5499999999999999836281852898352893364974108386990777326308256843259021163809454461899286043871498129216796909672932437668386570240 binary64)) (-.f64 #s(literal 0 binary64) z) x))
x

soundness1.6s (15.6%)

Rules
3766×+-lowering-+.f64
3766×+-lowering-+.f32
3706×*-lowering-*.f32
3706×*-lowering-*.f64
3678×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01012
12411
28411
335510
4170310
5465910
0826210
01341022
1427946
21447926
35552890
08319890
030127
125398
2237293
0878493
02883200
19652911
231322706
084532706
03633079
111922774
235942567
083452567
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 735 to 443 computations (39.7% saved)

preprocess109.0ms (1%)

Compiler

Compiled 436 to 172 computations (60.6% saved)

end0.0ms (0%)

Profiling

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