Metrics for Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.1s (9.4%)

Results

807.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-log: 123.0ms (29.8% of total)

ival-add: 111.0ms (26.9% of total)

ival-sub: 86.0ms (20.8% of total)

ival-mult: 78.0ms (18.9% of total)

const: 11.0ms (2.7% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess441.0ms (3.9%)

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)

Iter	Nodes	Cost
0	41	131
1	125	119
2	551	111
3	2802	111
4	7419	111
0	10	12
1	24	11
2	84	11
3	355	10
4	1703	10
5	4659	10
0	8262	10

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)))

explain128.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 1/2 binary64)`
-	-	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
-	-	`y`
-	-	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
-	-	`z`
-	-	`(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))`
-	-	`(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))`
-	-	`(log.f64 y)`
-	-	`(+.f64 y #s(literal 1/2 binary64))`

Results

84.0ms

512×

valid

Compiler

Compiled 113 to 32 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 20.0ms (53.1% of total)

ival-log: 7.0ms (18.6% of total)

ival-add: 6.0ms (15.9% of total)

ival-mult: 4.0ms (10.6% of total)

const: 1.0ms (2.7% 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

Status	Accuracy	Program
▶	99.8%	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
▶	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓	cost-diff	(-.f64 z y)
✓	cost-diff	(-.f64 x (-.f64 z y))
✓	cost-diff	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓	cost-diff	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓	cost-diff	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓	cost-diff	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
✓	cost-diff	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Rules

1478×	`fnmadd-define`
1404×	`fma-lowering-fma.f32`
1404×	`fma-lowering-fma.f64`
1300×	`fma-define`
1210×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	37	77
2	130	76
3	598	74
4	2942	74
5	7179	74
0	8057	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ (- x (* (+ y 1/2) (log y))) y)
(- x (* (+ y 1/2) (log y)))
x
(* (+ y 1/2) (log y))
(+ y 1/2)
y
1/2
(log y)
z
(- (- 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 (* (+ y 1/2) (log y))) y) z)
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(+ (- x (* (+ y 1/2) (log y))) y)
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 x y))
(- 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)
z
(- (- x (- z y)) (* (+ y 1/2) (log y)))
(+.f64 (+.f64 x (-.f64 y z)) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
(- x (- z y))
(+.f64 x (-.f64 y z))
x
(- z y)
(-.f64 z y)
z
y
(* (+ 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)

localize74.0ms (0.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	99.9%	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓	accuracy	99.8%	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓	accuracy	100.0%	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓	accuracy	100.0%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
✓	accuracy	99.8%	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
✓	accuracy	99.8%	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))

Results

55.0ms

256×

valid

Compiler

Compiled 84 to 14 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 8.0ms (48.5% of total)

ival-log: 4.0ms (24.2% of total)

ival-add: 3.0ms (18.2% of total)

ival-mult: 2.0ms (12.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series81.0ms (0.7%)

Counts

9 → 216

Calls

Call 1

Inputs
#<alt (- (+ (- x (* (+ y 1/2) (log y))) y) z)>
#<alt (+ (- x (* (+ y 1/2) (log y))) y)>
#<alt (- x (* (+ y 1/2) (log y)))>
#<alt (* (+ y 1/2) (log y))>
#<alt (- (- x (- z y)) (* (+ y 1/2) (log y)))>
#<alt (- x (- z y))>
#<alt (- z 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 (+ 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 (- (+ 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 (- 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 (* 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 (* -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 (- 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 (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

54 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	(log y)
9.0ms	y	@	-inf	(log y)
7.0ms	x	@	0	(- (+ (- x (* (+ y 1/2) (log y))) y) z)
5.0ms	y	@	inf	(log y)
4.0ms	y	@	0	(- (+ (- x (* (+ y 1/2) (log y))) y) z)

rewrite366.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3516×	`-lowering-.f32`
3516×	`-lowering-.f64`
3166×	`/-lowering-/.f32`
3166×	`/-lowering-/.f64`
2438×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	114	59
2	1254	57
0	8458	57

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 353

Calls

Call 1

Inputs
(- (+ (- x (* (+ y 1/2) (log y))) y) z)
(+ (- x (* (+ y 1/2) (log y))) y)
(- x (* (+ y 1/2) (log y)))
(* (+ y 1/2) (log y))
(- (- x (- z y)) (* (+ y 1/2) (log y)))
(- x (- z y))
(- z y)
(log y)
(+ y 1/2)

Outputs
(+.f64 x (+.f64 (*.f64 (log.f64 y) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) (-.f64 y z)))
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))
(+.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(+.f64 (-.f64 y z) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))
(-.f64 x (-.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) (-.f64 #s(literal 0 binary64) z)))
(-.f64 x (+.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) z))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))) (/.f64 (.f64 z z) (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))))
(-.f64 (/.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))) (/.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))) (/.f64 (.f64 z z) (-.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (+.f64 (.f64 y (.f64 y y)) (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 y (-.f64 y (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (-.f64 y z))
(fma.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z))
(fma.f64 #s(literal -1 binary64) z (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (.f64 z z) (.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z z)) (-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (.f64 z z) (.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 (-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)))) (+.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)))) (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 z (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)) (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)))) (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (.f64 z (.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)) (-.f64 (pow.f64 (-.f64 (+.f64 y x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 (-.f64 y z) (-.f64 y z))) (-.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (+.f64 y z)) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (.f64 y y) (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 y z)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))) (.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (*.f64 y z)))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (+.f64 y z)) (.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 y y) (.f64 z z)))) (.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)))
(/.f64 (+.f64 (.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))) (.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))))
(/.f64 (+.f64 (.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64)))) (+.f64 y z)) (.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (-.f64 (.f64 y y) (.f64 z z)))) (.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))) (+.f64 y z)))
(/.f64 (+.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))) (.f64 (neg.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (neg.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (*.f64 y z)))))
(/.f64 (+.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)))) (+.f64 y z)) (.f64 (neg.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 (.f64 y y) (.f64 z z)))) (.f64 (neg.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (+.f64 y z)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y z) (-.f64 (.f64 z z) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 y z)) (.f64 (+.f64 y z) (.f64 y y))) (*.f64 (+.f64 y z) (+.f64 y z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y z))))
(/.f64 (+.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (+.f64 (.f64 y y) (-.f64 (.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) y) z))))
(pow.f64 (/.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y z) (-.f64 (.f64 z z) (.f64 y y))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z)))))
(.f64 (-.f64 (.f64 z z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(log.f64 y)
(+.f64 y #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) y)
(-.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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y y) #s(literal -1/4 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 (neg.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 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)))
(pow.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (+.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))

simplify247.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
2132×	`+-lowering-+.f64`
2132×	`+-lowering-+.f32`
1650×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2264
1	559	2069
2	1904	1892
3	7521	1892
0	8334	1892

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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 (+ 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)))))))))
(- (+ 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)))))
(- 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
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(- x (* 1/2 (log y)))
(- (+ 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)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(* y (log (/ 1 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -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)))))
(- 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)))))
(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 y #s(literal 1/2 binary64))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 (-.f64 (+.f64 y x) 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) 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) 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))))
(.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))))
(.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))))
(.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 (* 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 y #s(literal 1/2 binary64)))) 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 y #s(literal 1/2 binary64)))) 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 y #s(literal 1/2 binary64)))) x)))
(- x (+ z (* 1/2 (log y))))
(-.f64 (-.f64 x 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) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* 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)))))
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(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
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(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
(* 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 #s(literal 0 binary64) z) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (.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 #s(literal 0 binary64) z) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (.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 #s(literal 0 binary64) z) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (.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 x z) (.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 x z) (.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 x z) (.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 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y 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 (+.f64 y x) z)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ x z) (/ y z)) 1))
(*.f64 z (+.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 y x) z) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 y x) z) z) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 y x) z) z) z)
(- x z)
(-.f64 x z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
(- (+ x y) z)
(-.f64 (+.f64 y x) z)
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* z (+ 1 (* -1 (/ y z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* z (+ 1 (* -1 (/ y z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(* -1 (* z (- (/ y z) 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* z (- (/ y z) 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* z (- (/ y z) 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(-.f64 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)
(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))

eval88.0ms (0.8%)

Compiler: Compiled 18823 to 1617 computations (91.4% saved)

prune120.0ms (1.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	632	19	651
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	634	19	653

Accuracy

99.9%

Counts

653 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.8%	(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z))
	45.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 (+.f64 x (-.f64 z y)) (-.f64 (.f64 x x) (.f64 (-.f64 z y) (-.f64 z y)))) (.f64 (+.f64 (.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)))) (.f64 (/.f64 (+.f64 x (-.f64 z y)) (-.f64 (.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y)))) (+.f64 y #s(literal -1/2 binary64))))
	46.1%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) (/.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))) (.f64 (+.f64 y z) #s(literal 1 binary64))) (.f64 (+.f64 y z) (/.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))))
	60.6%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 y y)))) z)
	73.9%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
▶	99.8%	(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
	85.1%	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
	85.1%	(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
▶	86.8%	(-.f64 (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
▶	70.7%	(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
	54.9%	(-.f64 (+.f64 x y) z)
	59.8%	(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
	43.8%	(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
	49.2%	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
	55.5%	(-.f64 x z)
	31.0%	(-.f64 #s(literal 0 binary64) z)
	80.3%	(.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 x z) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
▶	30.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
▶	26.3%	x

Compiler

Compiled 710 to 396 computations (44.2% saved)

simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
✓	cost-diff	256	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))))
✓	cost-diff	256	(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y)
✓	cost-diff	256	(-.f64 (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
✓	cost-diff	0	(log.f64 y)
✓	cost-diff	0	(*.f64 (log.f64 y) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
✓	cost-diff	0	(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(log.f64 y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (log.f64 y))
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
✓	cost-diff	0	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓	cost-diff	0	(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
✓	cost-diff	0	(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))
✓	cost-diff	0	(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)

Rules

1950×	`sum3-define`
1704×	`+-lowering-+.f64`
1704×	`+-lowering-+.f32`
1452×	`fnmadd-define`
1158×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	60	144
2	163	142
3	543	141
4	2332	135
0	8080	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (- x (- (* (+ y 1/2) (log y)) y)) z)
(- x (- (* (+ y 1/2) (log y)) y))
x
(- (* (+ y 1/2) (log y)) y)
(* (+ y 1/2) (log y))
(+ y 1/2)
y
1/2
(log y)
z
x
(* y (- 1 (log y)))
y
(- 1 (log y))
1
(log y)
(- (+ x (* (log y) -1/2)) z)
(+ x (* (log y) -1/2))
x
(* (log y) -1/2)
(log y)
y
-1/2
z
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
x
(- 1 (* (log y) (/ (+ y 1/2) x)))
1
(* (log y) (/ (+ y 1/2) x))
(log y)
y
(/ (+ y 1/2) x)
(+ y 1/2)
1/2
z

Outputs
(- (- x (- (* (+ y 1/2) (log y)) y)) z)
(+.f64 x (+.f64 y (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z)))
(- x (- (* (+ y 1/2) (log y)) y))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
x
(- (* (+ y 1/2) (log y)) y)
(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) 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))
y
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
z
x
(* y (- 1 (log y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
y
(- 1 (log y))
(-.f64 #s(literal 1 binary64) (log.f64 y))
1
#s(literal 1 binary64)
(log y)
(log.f64 y)
(- (+ x (* (log y) -1/2)) z)
(+.f64 (-.f64 x z) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(+ x (* (log y) -1/2))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
x
(* (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)
z
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
(+.f64 x (+.f64 y (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z)))
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))))
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
x
(- 1 (* (log y) (/ (+ y 1/2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x))
1
#s(literal 1 binary64)
(* (log y) (/ (+ y 1/2) x))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x))
(log y)
(log.f64 y)
y
(/ (+ y 1/2) x)
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
z

localize188.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
✓	accuracy	99.8%	(+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y)
✓	accuracy	99.5%	(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
✓	accuracy	87.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))))
✓	accuracy	100.0%	(*.f64 (log.f64 y) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	100.0%	(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
✓	accuracy	100.0%	(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (log.f64 y))
✓	accuracy	99.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
✓	accuracy	100.0%	(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))
✓	accuracy	100.0%	(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
✓	accuracy	99.8%	(-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)
✓	accuracy	99.8%	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))

Results

122.0ms

256×

valid

Compiler

Compiled 163 to 24 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-sub: 23.0ms (48.3% of total)

ival-mult: 14.0ms (29.4% of total)

ival-log: 4.0ms (8.4% of total)

ival-add: 4.0ms (8.4% of total)

ival-div: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series108.0ms (1%)

Counts

15 → 324

Calls

Call 1

Inputs
#<alt (- (- x (- (* (+ y 1/2) (log y)) y)) z)>
#<alt (- x (- (* (+ y 1/2) (log y)) y))>
#<alt (- (* (+ y 1/2) (log y)) y)>
#<alt (* (+ y 1/2) (log y))>
#<alt (* y (- 1 (log y)))>
#<alt (- 1 (log y))>
#<alt (log y)>
#<alt (- (+ x (* (log y) -1/2)) z)>
#<alt (+ x (* (log y) -1/2))>
#<alt (* (log y) -1/2)>
#<alt (- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)>
#<alt (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)>
#<alt (* x (- 1 (* (log y) (/ (+ y 1/2) x))))>
#<alt (- 1 (* (log y) (/ (+ y 1/2) x)))>
#<alt (* (log y) (/ (+ y 1/2) x))>

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 (+ 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 (- (+ 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 (- 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 (* 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 (* 1/2 (log y))>
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))>
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))>
#<alt (+ (* 1/2 (log y)) (* y (- (log y) 1)))>
#<alt (* y (- (* -1 (log (/ 1 y))) 1))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))>
#<alt (* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))>
#<alt (* -1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))>
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))>
#<alt (* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) 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 (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (log y)))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (log y))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (* -1 (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (- (* -1/2 (log y)) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt (- (+ x (* -1/2 (log y))) z)>
#<alt x>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt (* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))>
#<alt (- (+ x (* -1/2 (log y))) 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 (+ 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 (* -1/2 (log y))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (log y) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (log y) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (log y) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (* -1/2 (log y)))>
#<alt (+ x (* 1/2 (log (/ 1 y))))>
#<alt (+ x (* 1/2 (log (/ 1 y))))>
#<alt (+ x (* 1/2 (log (/ 1 y))))>
#<alt (+ x (* 1/2 (log (/ 1 y))))>
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1/2 (log y))>
#<alt (* -1/2 (log y))>
#<alt (* -1/2 (log y))>
#<alt (* -1/2 (log y))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* 1/2 (log (/ 1 y)))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (- (* x (- 1 (* 1/2 (/ (log y) x)))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (+ y (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))>
#<alt (+ x (+ y (* -1 (* (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 (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))>
#<alt (* x (- 1 (* 1/2 (/ (log y) x))))>
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))>
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))>
#<alt (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y)))))>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))>
#<alt (* y (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y)))) 1)))>
#<alt (* -1 (* (log y) (+ 1/2 y)))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (* -1 (* (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 (* 1/2 (/ (log y) x))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (- 1 (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (/ (* y (log (/ 1 y))) x)>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) x))>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* 1/2 (/ (log y) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (* -1 (/ (* y (log (/ 1 y))) x))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>

Calls

81 calls:

Time	Variable		Point	Expression
58.0ms	y	@	0	(* y (- 1 (log y)))
19.0ms	x	@	inf	(* (log y) (/ (+ y 1/2) x))
13.0ms	x	@	0	(* (log y) (/ (+ y 1/2) x))
2.0ms	x	@	0	(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
1.0ms	x	@	-inf	(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)

rewrite1.8s (15.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3066×	`/-lowering-/.f32`
3066×	`/-lowering-/.f64`
2884×	`-lowering-.f32`
2884×	`-lowering-.f64`
1800×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	121
1	178	119
2	1785	115
0	8215	115

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 394

Calls

Call 1

Inputs
(- (- x (- (* (+ y 1/2) (log y)) y)) z)
(- x (- (* (+ y 1/2) (log y)) y))
(- (* (+ y 1/2) (log y)) y)
(* (+ y 1/2) (log y))
(* y (- 1 (log y)))
(- 1 (log y))
(log y)
(- (+ x (* (log y) -1/2)) z)
(+ x (* (log y) -1/2))
(* (log y) -1/2)
(- (+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y) z)
(+ (* x (- 1 (* (log y) (/ (+ y 1/2) x)))) y)
(* x (- 1 (* (log y) (/ (+ y 1/2) x))))
(- 1 (* (log y) (/ (+ y 1/2) x)))
(* (log y) (/ (+ y 1/2) x))

Outputs
(+.f64 x (neg.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))))
(+.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))
(+.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)))
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))
(-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))
(-.f64 x (-.f64 (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(-.f64 (/.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))))
(-.f64 (/.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)) (/.f64 (.f64 z z) (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))))) (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 3 binary64)) (+.f64 (.f64 x x) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))))))
(-.f64 (/.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (-.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (.f64 z z) (-.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))) (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64)) (+.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))))
(fma.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) (+.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1 binary64) z (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))) (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (-.f64 (.f64 z z) (.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))
(/.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z z)) (-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))) (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (-.f64 (.f64 z z) (.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 (+.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 (-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64))) (+.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))) (.f64 (+.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 3 binary64))) (+.f64 y z)) (.f64 (+.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 (.f64 y y) (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (+.f64 y z)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z)))) (.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (*.f64 y z)))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (+.f64 y z)) (.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 y y) (.f64 z z)))) (.f64 (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (+.f64 y z)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))) (.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))) (.f64 z (.f64 z z)))) (.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))) (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)) (.f64 (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) (.f64 z z))) (.f64 (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z) (+.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 3 binary64)) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z (+.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) #s(literal 2 binary64)) (.f64 z z)))) (neg.f64 (neg.f64 (+.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 x x) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)) #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 y z)))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 #s(literal 0 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (neg.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (log.f64 y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) x)
(/.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (log.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal -1 binary64))
(.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 y)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x))
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (log.f64 y))
(*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (log.f64 y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 (.f64 y y) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 (log.f64 y) (-.f64 (+.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (.f64 y y) #s(literal -1/4 binary64)))) (/.f64 (log.f64 y) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 (log.f64 y) x))

simplify398.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3698×	`-lowering-.f32`
3698×	`-lowering-.f64`
3644×	`+-lowering-+.f64`
3644×	`+-lowering-+.f32`
1106×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3987
1	924	3541
2	3227	3326
0	8333	3326

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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 (+ 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)))))))))
(- (+ 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)))))
(- 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
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(- x (* 1/2 (log y)))
(- (+ 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)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 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)))
(+ (* 1/2 (log y)) (* y (- (log y) 1)))
(+ (* 1/2 (log y)) (* y (- (log y) 1)))
(* y (- (* -1 (log (/ 1 y))) 1))
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))
(* y (- (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))) 1))
(* -1 (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))
(* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))))
(* -1 (* y (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) 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)))))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y))))))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(- 1 (+ (log -1) (* -1 (log (/ -1 y)))))
(log y)
(log y)
(log y)
(log y)
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(- (* -1/2 (log y)) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
x
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
(* x (- (+ 1 (* -1/2 (/ (log y) x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (log y)) z) x)) 1)))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* 1/2 (log (/ 1 y)))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z)
(+ x (* -1/2 (log y)))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(+ x (+ (* -1 z) (* -1/2 (log y))))
(* -1 z)
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* z (- (+ (* -1/2 (/ (log y) z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* -1/2 (log y))) z)))))
(* -1/2 (log y))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
x
(* x (+ 1 (* -1/2 (/ (log y) x))))
(* x (+ 1 (* -1/2 (/ (log y) x))))
(* x (+ 1 (* -1/2 (/ (log y) x))))
x
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1/2 (log y))
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(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
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(/ (- x (* (log y) (+ 1/2 y))) x)
(/ (- x (* (log y) (+ 1/2 y))) x)
1
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(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
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(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
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(/ (* (log y) (+ 1/2 y)) x)
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(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)

Outputs
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(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
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(- 1 (* 1/2 (/ (log y) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) x))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 y) x) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(/ (* y (log (/ 1 y))) x)
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) x)
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 y x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
(.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
(.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
(.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(* -1 (/ (* (log y) (+ 1/2 y)) x))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (- x (* (log y) (+ 1/2 y))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(/ (- x (* (log y) (+ 1/2 y))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(/ (- x (* (log y) (+ 1/2 y))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(* 1/2 (/ (log y) x))
(/.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) x)
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64)))
(* -1 (/ (* y (log (/ 1 y))) x))
(/.f64 (*.f64 y (log.f64 y)) x)
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 y x))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(.f64 y (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(.f64 y (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(.f64 y (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))

eval89.0ms (0.8%)

Compiler: Compiled 18062 to 1750 computations (90.3% saved)

prune113.0ms (1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	751	12	763
Fresh	5	9	14
Picked	2	3	5
Done	0	0	0
Total	758	24	782

Accuracy

100.0%

Counts

782 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) x (-.f64 y z))
	46.1%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) (/.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))) (.f64 (+.f64 y z) #s(literal 1 binary64))) (.f64 (+.f64 y z) (/.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))))
	29.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
	29.6%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
▶	73.9%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
	74.1%	(-.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))))) z)
	85.1%	(-.f64 (-.f64 x (-.f64 (*.f64 y (log.f64 y)) y)) z)
	85.1%	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
	46.8%	(-.f64 (+.f64 (.f64 x (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) x)) y) z)
	86.8%	(-.f64 (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64))))) y) z)
✓	70.7%	(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
	54.9%	(-.f64 (+.f64 x y) z)
	45.8%	(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
	59.8%	(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
	43.8%	(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
▶	49.2%	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
	55.5%	(-.f64 x z)
▶	31.0%	(-.f64 #s(literal 0 binary64) z)
	86.8%	(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
	40.9%	(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
	80.3%	(.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)))))
▶	70.2%	(.f64 z (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z)) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
✓	30.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
✓	26.3%	x

Compiler

Compiled 748 to 462 computations (38.2% saved)

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
✓	cost-diff	256	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z))
✓	cost-diff	256	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
✓	cost-diff	640	(.f64 z (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z)) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
✓	cost-diff	0	(log.f64 y)
✓	cost-diff	0	(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
✓	cost-diff	0	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
✓	cost-diff	0	(log.f64 y)
✓	cost-diff	0	(+.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓	cost-diff	0	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	0	(log.f64 y)
✓	cost-diff	0	(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
✓	cost-diff	6528	(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) x (-.f64 y z))

Rules

1988×	`-lowering-.f32`
1988×	`-lowering-.f64`
1340×	`fnmadd-define`
1126×	`fma-lowering-fma.f32`
1126×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	202
1	86	201
2	268	193
3	986	193
4	4761	179
0	8380	179

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (- 1 (/ (log y) (/ x (+ y 1/2)))) x) (- y z))
(- 1 (/ (log y) (/ x (+ y 1/2))))
1
(/ (log y) (/ x (+ y 1/2)))
(log y)
y
(/ x (+ y 1/2))
x
(+ y 1/2)
1/2
(- y z)
z
(- 0 z)
0
z
(- x (* (+ y 1/2) (log y)))
x
(* (+ y 1/2) (log y))
(+ y 1/2)
y
1/2
(log y)
(- (- y (* (log y) (+ y 1/2))) z)
(- y (* (log y) (+ y 1/2)))
y
(* (log y) (+ y 1/2))
(log y)
(+ y 1/2)
1/2
z
(* z (+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1)))
z
(+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1))
(* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z))
(- 1 (* (log y) (/ (+ y 1/2) x)))
1
(* (log y) (/ (+ y 1/2) x))
(log y)
y
(/ (+ y 1/2) x)
(+ y 1/2)
1/2
x
(/ x z)
(+ (/ y z) -1)
(/ y z)
-1

Outputs
(+ (* (- 1 (/ (log y) (/ x (+ y 1/2)))) x) (- y z))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
(- 1 (/ (log y) (/ x (+ y 1/2))))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (-.f64 #s(literal -1/2 binary64) y))))
1
#s(literal 1 binary64)
(/ (log y) (/ x (+ y 1/2)))
(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
(log y)
(log.f64 y)
y
(/ x (+ y 1/2))
(/.f64 x (+.f64 y #s(literal 1/2 binary64)))
x
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- y z)
(-.f64 y z)
z
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(- 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 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(log y)
(log.f64 y)
(- (- y (* (log y) (+ y 1/2))) z)
(+.f64 y (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) z))
(- y (* (log y) (+ y 1/2)))
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
y
(* (log y) (+ y 1/2))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(log y)
(log.f64 y)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
z
(* z (+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1)))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 x z)))
z
(+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1))
(+.f64 (/.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z))
(/.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)
(- 1 (* (log y) (/ (+ y 1/2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (-.f64 #s(literal -1/2 binary64) y))))
1
#s(literal 1 binary64)
(* (log y) (/ (+ y 1/2) x))
(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
(log y)
(log.f64 y)
y
(/ (+ y 1/2) x)
(/.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(/ x z)
(/.f64 x z)
(+ (/ y z) -1)
(+.f64 (/.f64 y z) #s(literal -1 binary64))
(/ y z)
(/.f64 y z)
-1
#s(literal -1 binary64)

localize222.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
✓	accuracy	91.3%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
✓	accuracy	82.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z))
✓	accuracy	81.2%	(.f64 z (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z)) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	100.0%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
✓	accuracy	99.8%	(-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	100.0%	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
✓	accuracy	99.8%	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	100.0%	(/.f64 x (+.f64 y #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
✓	accuracy	86.9%	(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) x (-.f64 y z))

Results

146.0ms

256×

valid

Compiler

Compiled 215 to 30 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 25.0ms (39.1% of total)

ival-sub: 10.0ms (15.6% of total)

ival-mult: 10.0ms (15.6% of total)

ival-div: 9.0ms (14.1% of total)

ival-log: 5.0ms (7.8% of total)

compiled-spec: 4.0ms (6.2% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts

17 → 384

Calls

Call 1

Inputs
#<alt (+ (* (- 1 (/ (log y) (/ x (+ y 1/2)))) x) (- y z))>
#<alt (- 1 (/ (log y) (/ x (+ y 1/2))))>
#<alt (/ (log y) (/ x (+ y 1/2)))>
#<alt (log y)>
#<alt (- 0 z)>
#<alt (- x (* (+ y 1/2) (log y)))>
#<alt (* (+ y 1/2) (log y))>
#<alt (+ y 1/2)>
#<alt (- (- y (* (log y) (+ y 1/2))) z)>
#<alt (- y (* (log y) (+ y 1/2)))>
#<alt (* (log y) (+ y 1/2))>
#<alt (* z (+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1)))>
#<alt (+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1))>
#<alt (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z))>
#<alt (- 1 (* (log y) (/ (+ y 1/2) x)))>
#<alt (/ x (+ y 1/2))>
#<alt (* (log y) (/ (+ y 1/2) x))>

Outputs
#<alt (- (* x (- 1 (* 1/2 (/ (log y) x)))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (- 1 (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (/ (* y (log (/ 1 y))) x)>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) x))>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* 1/2 (/ (log y) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (* -1 (/ (* y (log (/ 1 y))) x))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (* -1 z)>
#<alt (* -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 (* (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 (* -1 (+ z (* 1/2 (log y))))>
#<alt (- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))>
#<alt (- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))>
#<alt (- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))>
#<alt (* y (- 1 (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))>
#<alt (* y (- (+ 1 (* -1 (/ (+ z (* -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)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))>
#<alt (- y (* (log y) (+ 1/2 y)))>
#<alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))>
#<alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))>
#<alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))>
#<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 (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (+ (* -1 (/ y z)) (* -1 (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 (/ y z)) (* -1 (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 (/ y z)) (* -1 (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z))))))>
#<alt (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1))>
#<alt (+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)))>
#<alt (+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)))>
#<alt (+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)))>
#<alt (* y (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))))>
#<alt (* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) z) 1)) y)))>
#<alt (* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) z) 1)) y)))>
#<alt (* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) z) 1)) y)))>
#<alt (* -1 (* y (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))>
#<alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))>
#<alt (+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))>
#<alt (+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))>
#<alt (+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))>
#<alt (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)>
#<alt (- (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)) 1)>
#<alt (- (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)) 1)>
#<alt (- (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)) 1)>
#<alt (* y (+ (/ 1 z) (/ (log (/ 1 y)) z)))>
#<alt (* y (- (+ (/ 1 z) (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z)))) (/ 1 y)))>
#<alt (* y (- (+ (/ 1 z) (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z)))) (/ 1 y)))>
#<alt (* y (- (+ (/ 1 z) (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z)))) (/ 1 y)))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1) y)) (/ (log -1) z))) (/ 1 z))))>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)>
#<alt (/ x z)>
#<alt (* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))>
#<alt (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)>
#<alt (/ (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)>
#<alt (/ (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)>
#<alt (/ (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)>
#<alt -1>
#<alt (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)>
#<alt (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)>
#<alt (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)>
#<alt -1>
#<alt (- (* -1 (/ (+ (* -1 y) (* -1 (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)) 1)>
#<alt (- (* -1 (/ (+ (* -1 y) (* -1 (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)) 1)>
#<alt (- (* -1 (/ (+ (* -1 y) (* -1 (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)) 1)>
#<alt (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)>
#<alt (+ (* -1 (/ (* y (log y)) z)) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z))>
#<alt (+ (* -1 (/ (* y (log y)) z)) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z))>
#<alt (+ (* -1 (/ (* y (log y)) z)) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z))>
#<alt (/ (* y (log (/ 1 y))) z)>
#<alt (* y (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z))))>
#<alt (* y (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z))))>
#<alt (* y (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z))))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) z))>
#<alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) (* y z))) (/ (log -1) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) (* y z))) (/ (log -1) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) (* y z))) (/ (log -1) z)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) z))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ x z))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ x z))>
#<alt (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ x z))>
#<alt (/ x z)>
#<alt (* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (/ 1 z)))>
#<alt (* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (/ 1 z)))>
#<alt (* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (/ 1 z)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) (* x z)) (/ 1 z))))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) (* x z)) (/ 1 z))))>
#<alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) (* x z)) (/ 1 z))))>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)>
#<alt (- 1 (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (/ (* y (log (/ 1 y))) x)>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) x))>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (* 2 x)>
#<alt (+ (* -4 (* x y)) (* 2 x))>
#<alt (+ (* 2 x) (* y (- (* 8 (* x y)) (* 4 x))))>
#<alt (+ (* 2 x) (* y (- (* y (- (* -16 (* x y)) (* -8 x))) (* 4 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/2 (/ x y))) y)>
#<alt (/ (- (+ x (* 1/4 (/ x (pow y 2)))) (* 1/2 (/ x y))) y)>
#<alt (/ (- (+ x (* -1/8 (/ x (pow y 3)))) (+ (* -1/4 (/ x (pow y 2))) (* 1/2 (/ x y)))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/2 (/ x y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* 1/4 (/ x y)) (* 1/2 x)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ x y)) (* 1/4 x)) y)) (* 1/2 x)) y))) y))>
#<alt (* 1/2 (/ (log y) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (* -1 (/ (* y (log (/ 1 y))) x))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>

Calls

96 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ x (+ y 1/2))
5.0ms	x	@	-inf	(/ x (+ y 1/2))
5.0ms	z	@	0	(* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z))
2.0ms	z	@	inf	(* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z))
1.0ms	z	@	0	(* z (+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1)))

rewrite395.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2742×	`/-lowering-/.f32`
2742×	`/-lowering-/.f64`
2432×	`-lowering-.f32`
2432×	`-lowering-.f64`
2388×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	155
1	239	154
2	2382	146
0	8813	146

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 572

Calls

Call 1

Inputs
(+ (* (- 1 (/ (log y) (/ x (+ y 1/2)))) x) (- y z))
(- 1 (/ (log y) (/ x (+ y 1/2))))
(/ (log y) (/ x (+ y 1/2)))
(log y)
(- 0 z)
(- x (* (+ y 1/2) (log y)))
(* (+ y 1/2) (log y))
(+ y 1/2)
(- (- y (* (log y) (+ y 1/2))) z)
(- y (* (log y) (+ y 1/2)))
(* (log y) (+ y 1/2))
(* z (+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1)))
(+ (* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z)) (+ (/ y z) -1))
(* (- 1 (* (log y) (/ (+ y 1/2) x))) (/ x z))
(- 1 (* (log y) (/ (+ y 1/2) x)))
(/ x (+ y 1/2))
(* (log y) (/ (+ y 1/2) x))

Outputs
(+.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (-.f64 y z))
(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(+.f64 (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (-.f64 #s(literal 0 binary64) z))
(-.f64 y (-.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))) z)
(-.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (+.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) y) z)) (/.f64 (.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) y) z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 y z))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) x (-.f64 y z))
(fma.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (+.f64 y z)))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(fma.f64 (-.f64 (.f64 y y) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (-.f64 y z) (-.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))) (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) y) z) (-.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 y z) (-.f64 y z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (-.f64 y z) (-.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))) (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) y) z) (-.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (-.f64 y z) (-.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)))) (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (-.f64 y z) (-.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)))) (+.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) (*.f64 x (-.f64 y z))))))
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(/.f64 (neg.f64 (.f64 (/.f64 (log.f64 y) x) (+.f64 (.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x))
(.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 y)))
(*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (log.f64 y))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) x)) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (log.f64 y) (-.f64 #s(literal 0 binary64) x)) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))

simplify307.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3326×	`-lowering-.f32`
3326×	`-lowering-.f64`
2078×	`+-lowering-+.f64`
2078×	`+-lowering-+.f32`
1324×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	5562
1	1298	4911
2	4400	4580
0	8248	4580

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(- (* x (- 1 (* 1/2 (/ (log y) x)))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(* -1 z)
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(- 1 (* 1/2 (/ (log y) x)))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(/ (* y (log (/ 1 y))) x)
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
(* -1 (/ (* (log y) (+ 1/2 y)) x))
(/ (- x (* (log y) (+ 1/2 y))) x)
(/ (- x (* (log y) (+ 1/2 y))) x)
(/ (- x (* (log y) (+ 1/2 y))) x)
1
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
1
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(* 1/2 (/ (log y) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(* -1 (/ (* y (log (/ 1 y))) x))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(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 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(* y (log (/ 1 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -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
(+ 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))))
(* -1 (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(- y (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1/2 (log y))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(- (* y (- 1 (log y))) (* 1/2 (log y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* 1/2 (/ (log (/ 1 y)) y))) (* -1 (log (/ 1 y)))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(* -1 z)
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (+ (* -1 (/ y z)) (* -1 (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z))))))
(* -1 (* z (+ 1 (+ (* -1 (/ y z)) (* -1 (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z))))))
(* -1 (* z (+ 1 (+ (* -1 (/ y z)) (* -1 (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z))))))
(* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1))
(+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)))
(+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)))
(+ (* y (* z (+ (* -1 (/ (log y) z)) (/ 1 z)))) (* z (- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)))
(* y (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))))
(* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) z) 1)) y)))
(* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) z) 1)) y)))
(* y (+ (* z (+ (/ 1 z) (/ (log (/ 1 y)) z))) (/ (* z (- (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) z) 1)) y)))
(* -1 (* y (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (* z (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))
(* -1 (* y (+ (* -1 (/ (* z (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))
(* -1 (* y (+ (* -1 (/ (* z (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1)) y)) (* z (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1))
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))
(+ x (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)))
x
(* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))
(* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))
(* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))
x
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)) x)) 1)))
(- (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z) 1)
(- (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)) 1)
(- (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)) 1)
(- (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)) 1)
(* y (+ (/ 1 z) (/ (log (/ 1 y)) z)))
(* y (- (+ (/ 1 z) (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z)))) (/ 1 y)))
(* y (- (+ (/ 1 z) (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z)))) (/ 1 y)))
(* y (- (+ (/ 1 z) (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z)))) (/ 1 y)))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (/ (log -1) z)) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1) y)) (/ (log -1) z))) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1) y)) (/ (log -1) z))) (/ 1 z))))
(* -1 (* y (- (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (- (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) 1) y)) (/ (log -1) z))) (/ 1 z))))
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1)
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)
(/ x z)
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))
(/ x z)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) 1) x)) (/ 1 z))))
(/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)
(/ (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)
(/ (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)
(/ (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)
-1
(- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)
(- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)
(- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1)
-1
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(- (* -1 (/ (+ (* -1 y) (* -1 (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)) 1)
(- (* -1 (/ (+ (* -1 y) (* -1 (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))) z)) 1)
(/ (* x (- 1 (* 1/2 (/ (log y) x)))) z)
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(+ (* -1 (/ (* y (log y)) z)) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z))
(+ (* -1 (/ (* y (log y)) z)) (/ (* x (- 1 (* 1/2 (/ (log y) x)))) z))
(/ (* y (log (/ 1 y))) z)
(* y (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z))))
(* y (+ (/ (log (/ 1 y)) z) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) (* y z))))
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(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) (* y z))) (/ (log -1) z)))))
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) z)) (+ (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) (* y z))) (/ (log -1) z)))))
(* -1 (/ (* (log y) (+ 1/2 y)) z))
(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ x z))
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(+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ x z))
(/ x z)
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (/ 1 z)))
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (/ 1 z)))
(* x (+ (* -1 (/ (* (log y) (+ 1/2 y)) (* x z))) (/ 1 z)))
(/ x z)
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(/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)
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(/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)
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(/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)
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(/ (- x (* (log y) (+ 1/2 y))) x)
(/ (- x (* (log y) (+ 1/2 y))) x)
(/ (- x (* (log y) (+ 1/2 y))) x)
1
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(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
1
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(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(/ x (+ 1/2 y))
(* 2 x)
(+ (* -4 (* x y)) (* 2 x))
(+ (* 2 x) (* y (- (* 8 (* x y)) (* 4 x))))
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(/ x y)
(/ (+ x (* -1/2 (/ x y))) y)
(/ (- (+ x (* 1/4 (/ x (pow y 2)))) (* 1/2 (/ x y))) y)
(/ (- (+ x (* -1/8 (/ x (pow y 3)))) (+ (* -1/4 (/ x (pow y 2))) (* 1/2 (/ x y)))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* 1/2 (/ x y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* 1/4 (/ x y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ x y)) (* 1/4 x)) y)) (* 1/2 x)) y))) y))
(* 1/2 (/ (log y) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(* -1 (/ (* y (log (/ 1 y))) x))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)
(/ (* (log y) (+ 1/2 y)) x)

Outputs
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(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 #s(literal -1/2 binary64) x)))) z)
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(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
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(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))))
x
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(* -1 z)
(-.f64 #s(literal 0 binary64) z)
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(* -1 z)
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(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
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(/ (* y (log (/ 1 y))) x)
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(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 y x))
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(* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))
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(/ x (+ 1/2 y))
(/.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/ x (+ 1/2 y))
(/.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/ x (+ 1/2 y))
(/.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/ x (+ 1/2 y))
(/.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/ x (+ 1/2 y))
(/.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/ x (+ 1/2 y))
(/.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* -4 (* x y)) (* 2 x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x y) #s(literal -4 binary64)))
(+ (* 2 x) (* y (- (* 8 (* x y)) (* 4 x))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 (.f64 y (.f64 x #s(literal 8 binary64))) (*.f64 x #s(literal -4 binary64)))))
(+ (* 2 x) (* y (- (* y (- (* -16 (* x y)) (* -8 x))) (* 4 x))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 (.f64 x y) #s(literal -16 binary64)) (.f64 x #s(literal 8 binary64)))) (*.f64 x #s(literal -4 binary64)))))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/2 (/ x y))) y)
(/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) y)
(/ (- (+ x (* 1/4 (/ x (pow y 2)))) (* 1/2 (/ x y))) y)
(/.f64 (+.f64 x (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) y) (.f64 x #s(literal -1/2 binary64))) y)) y)
(/ (- (+ x (* -1/8 (/ x (pow y 3)))) (+ (* -1/4 (/ x (pow y 2))) (* 1/2 (/ x y)))) y)
(/.f64 (+.f64 (+.f64 x (/.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 y (.f64 y y)))) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) y) (*.f64 x #s(literal -1/2 binary64))) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* 1/2 (/ x y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) x) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* 1/4 (/ x y)) (* 1/2 x)) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) y) (.f64 x #s(literal -1/2 binary64))) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ x y)) (* 1/4 x)) y)) (* 1/2 x)) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 (/.f64 x y) #s(literal 1/8 binary64)) (*.f64 x #s(literal -1/4 binary64))) y)) y)) y)
(* 1/2 (/ (log y) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 y) x))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 #s(literal 1/2 binary64) y))
(* -1 (/ (* y (log (/ 1 y))) x))
(*.f64 y (/.f64 (log.f64 y) x))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(.f64 y (+.f64 (/.f64 (log.f64 y) x) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 x y))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(.f64 y (+.f64 (/.f64 (log.f64 y) x) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 x y))))
(* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))
(.f64 y (+.f64 (/.f64 (log.f64 y) x) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 x y))))
(/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 y x))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(.f64 y (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) x)) y)))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(.f64 y (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) x)) y)))
(* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))
(.f64 y (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) x)) y)))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))
(/ (* (log y) (+ 1/2 y)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x))

eval259.0ms (2.3%)

Compiler: Compiled 26498 to 2501 computations (90.6% saved)

prune161.0ms (1.4%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	1076	18	1094
Fresh	5	11	16
Picked	4	1	5
Done	0	3	3
Total	1085	33	1118

Accuracy

100.0%

Counts

1118 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) x) x (-.f64 y z))
	86.8%	(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64)))) x (-.f64 y z))
▶	7.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
	12.9%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
	35.9%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) z) (.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z))
	29.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
	29.6%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
	7.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z z)))))
	12.8%	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
✓	73.9%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
	59.7%	(-.f64 (-.f64 y (*.f64 (log.f64 y) y)) z)
▶	44.8%	(-.f64 (-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
	85.1%	(-.f64 (-.f64 x (-.f64 (*.f64 y (log.f64 y)) y)) z)
	85.1%	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
✓	70.7%	(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
	54.9%	(-.f64 (+.f64 x y) z)
	45.8%	(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
	59.8%	(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
	43.8%	(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
	35.2%	(-.f64 x (*.f64 y (log.f64 y)))
	40.9%	(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
	55.5%	(-.f64 x z)
▶	86.8%	(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
	60.1%	(+.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x)))))
	12.8%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
	16.4%	(*.f64 z (/.f64 x z))
	51.0%	(.f64 z (+.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) z) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
	80.3%	(.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)))))
	22.2%	(.f64 z (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 y) z))))
✓	30.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
▶	60.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x))))
▶	31.0%	(neg.f64 z)
✓	26.3%	x

Compiler

Compiled 885 to 581 computations (34.4% saved)

simplify218.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x)
✓	cost-diff	256	(.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x)))
✓	cost-diff	512	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x))))
✓	cost-diff	0	(log.f64 y)
✓	cost-diff	0	(*.f64 (log.f64 y) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 (-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 z (.f64 z z))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
✓	cost-diff	-64	(neg.f64 z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))

Rules

2846×	`-lowering-.f32`
2846×	`-lowering-.f64`
2434×	`+-lowering-+.f64`
2434×	`+-lowering-+.f32`
1580×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	218
1	94	214
2	263	203
3	903	195
4	3472	187
0	8203	187

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (- y z) (* x (- 1 (/ (log y) (/ x (+ y 1/2))))))
(- y z)
y
z
(* x (- 1 (/ (log y) (/ x (+ y 1/2)))))
x
(- 1 (/ (log y) (/ x (+ y 1/2))))
1
(/ (log y) (/ x (+ y 1/2)))
(log y)
(/ x (+ y 1/2))
(+ y 1/2)
1/2
(neg z)
z
(/ (- 0 (* z (* z z))) (* z z))
(- 0 (* z (* z z)))
0
(* z (* z z))
z
(* z z)
(- (- y (* (log y) 1/2)) z)
(- y (* (log y) 1/2))
y
(* (log y) 1/2)
(log y)
1/2
z
(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
x
(+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)))
1
(* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))
z
(/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)
(+ -1 (/ (- y (* (log y) (+ 1/2 y))) z))
-1
(/ (- y (* (log y) (+ 1/2 y))) z)
(- y (* (log y) (+ 1/2 y)))
y
(* (log y) (+ 1/2 y))
(log y)
(+ 1/2 y)
1/2

Outputs
(+ (- y z) (* x (- 1 (/ (log y) (/ x (+ y 1/2))))))
(+.f64 y (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 x z)))
(- y z)
(-.f64 y z)
y
z
(* x (- 1 (/ (log y) (/ x (+ y 1/2)))))
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
x
(- 1 (/ (log y) (/ x (+ y 1/2))))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (-.f64 #s(literal -1/2 binary64) y))))
1
#s(literal 1 binary64)
(/ (log y) (/ x (+ y 1/2)))
(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
(log y)
(log.f64 y)
(/ x (+ y 1/2))
(/.f64 x (+.f64 y #s(literal 1/2 binary64)))
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(neg z)
(-.f64 #s(literal 0 binary64) z)
z
(/ (- 0 (* z (* z z))) (* z z))
(-.f64 #s(literal 0 binary64) z)
(- 0 (* z (* z z)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))
0
#s(literal 0 binary64)
(* z (* z z))
(.f64 z (.f64 z z))
z
(* z z)
(*.f64 z z)
(- (- y (* (log y) 1/2)) z)
(+.f64 y (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z))
(- y (* (log y) 1/2))
(+.f64 y (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
y
(* (log y) 1/2)
(*.f64 (log.f64 y) #s(literal 1/2 binary64))
(log y)
(log.f64 y)
1/2
#s(literal 1/2 binary64)
z
(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
(+.f64 x (-.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z))
x
(+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z) x))
1
#s(literal 1 binary64)
(* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))
(/.f64 (-.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z) x)
z
(/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)) x)
(+ -1 (/ (- y (* (log y) (+ 1/2 y))) z))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z))
-1
#s(literal -1 binary64)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) z)
(- y (* (log y) (+ 1/2 y)))
(+.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))
y
(* (log y) (+ 1/2 y))
(*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))
(log y)
(log.f64 y)
(+ 1/2 y)
(+.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize199.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
✓	accuracy	95.1%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x)
✓	accuracy	87.0%	(.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x))
✓	accuracy	78.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x))))
✓	accuracy	100.0%	(-.f64 (-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
✓	accuracy	100.0%	(-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (log.f64 y) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 y)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	33.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 x (+.f64 y #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
✓	accuracy	99.6%	(/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
✓	accuracy	87.0%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))

Results

128.0ms

256×

valid

Compiler

Compiled 237 to 33 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-log: 18.0ms (32.8% of total)

ival-mult: 12.0ms (21.9% of total)

ival-div: 9.0ms (16.4% of total)

ival-sub: 8.0ms (14.6% of total)

ival-add: 6.0ms (10.9% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series28.0ms (0.2%)

Counts

20 → 444

Calls

Call 1

Inputs
#<alt (+ (- y z) (* x (- 1 (/ (log y) (/ x (+ y 1/2))))))>
#<alt (- y z)>
#<alt (* x (- 1 (/ (log y) (/ x (+ y 1/2)))))>
#<alt (- 1 (/ (log y) (/ x (+ y 1/2))))>
#<alt (neg z)>
#<alt (/ (- 0 (* z (* z z))) (* z z))>
#<alt (- 0 (* z (* z z)))>
#<alt (* z (* z z))>
#<alt (* z z)>
#<alt (- (- y (* (log y) 1/2)) z)>
#<alt (- y (* (log y) 1/2))>
#<alt (* (log y) 1/2)>
#<alt (log y)>
#<alt (* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))>
#<alt (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)))>
#<alt (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))>
#<alt (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)>
#<alt (/ (log y) (/ x (+ y 1/2)))>
#<alt (/ x (+ y 1/2))>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>

Outputs
#<alt (- (* x (- 1 (* 1/2 (/ (log y) x)))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)>
#<alt (* y (+ 1 (log (/ 1 y))))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))>
#<alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))>
#<alt (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))>
#<alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)>
#<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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* (log y) (+ 1/2 y)))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (* -1 (* (log y) (+ 1/2 y))))>
#<alt (+ x (* -1 (* (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 (* 1/2 (/ (log y) x))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))>
#<alt (* y (log (/ 1 y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))>
#<alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))>
#<alt (- 1 (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))>
#<alt (/ (* y (log (/ 1 y))) x)>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))>
#<alt (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))))>
#<alt (* -1 (/ (* (log y) (+ 1/2 y)) x))>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt (/ (- x (* (log y) (+ 1/2 y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (pow z 3))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* -1 (+ z (* 1/2 (log y))))>
#<alt (- y (+ z (* 1/2 (log y))))>
#<alt (- y (+ z (* 1/2 (log y))))>
#<alt (- y (+ z (* 1/2 (log y))))>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))))>
#<alt (* y (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))))>
#<alt (* y (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))))>
#<alt y>
#<alt (* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) 1)))>
#<alt (* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) 1)))>
#<alt (* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) 1)))>
#<alt (- y (* 1/2 (log y)))>
#<alt (- (+ y (* -1 z)) (* 1/2 (log y)))>
#<alt (- (+ y (* -1 z)) (* 1/2 (log y)))>
#<alt (- (+ y (* -1 z)) (* 1/2 (log y)))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) (+ 1 (* 1/2 (/ (log y) z)))))>
#<alt (* z (- (/ y z) (+ 1 (* 1/2 (/ (log y) z)))))>
#<alt (* z (- (/ y z) (+ 1 (* 1/2 (/ (log y) z)))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* 1/2 (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* 1/2 (log y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- y (* 1/2 (log y))) z)))))>
#<alt (* -1/2 (log y))>
#<alt (- y (* 1/2 (log y)))>
#<alt (- y (* 1/2 (log y)))>
#<alt (- y (* 1/2 (log y)))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ 1 (* 1/2 (/ (log (/ 1 y)) y))))>
#<alt (* y (+ 1 (* 1/2 (/ (log (/ 1 y)) y))))>
#<alt y>
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) 1)))>
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) 1)))>
#<alt (* -1 (* y (- (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) 1)))>
#<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 (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))>
#<alt (+ x (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))))>
#<alt (+ x (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))))>
#<alt (+ x (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))>
#<alt (* x (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)) 1)))>
#<alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))>
#<alt (+ (* -1 z) (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ (* -1 z) (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (+ (* -1 z) (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))))>
#<alt (* -1 z)>
#<alt (* z (- (/ (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) z) 1))>
#<alt (* z (- (/ (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) z) 1))>
#<alt (* z (- (/ (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) z)))))>
#<alt (* x (+ 1 (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x))))>
#<alt (+ (* x (+ 1 (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)))) (* y (* z (- (/ 1 z) (/ (log y) z)))))>
#<alt (+ (* x (+ 1 (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)))) (* y (* z (- (/ 1 z) (/ (log y) z)))))>
#<alt (+ (* x (+ 1 (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)))) (* y (* z (- (/ 1 z) (/ (log y) z)))))>
#<alt (* y (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))))>
#<alt (* y (+ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) (/ (* x (+ 1 (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) x)))) y)))>
#<alt (* y (+ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) (/ (* x (+ 1 (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) x)))) y)))>
#<alt (* y (+ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) (/ (* x (+ 1 (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) x)))) y)))>
#<alt (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) (* -1 (/ (* x (+ 1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) x))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) (* -1 (/ (* x (+ 1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) x))) y)))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) (* -1 (/ (* x (+ 1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) x))) y)))))>
#<alt (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (- (+ 1 (+ (* -1 (/ z x)) (/ y x))) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (- (+ 1 (+ (* -1 (/ z x)) (/ y x))) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (- (+ 1 (+ (* -1 (/ z x)) (/ y x))) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (* -1 (/ z x))>
#<alt (* z (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* z (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* z (- (+ (/ 1 z) (/ y (* x z))) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* -1 (/ z x))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) z)) (/ 1 x))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) z)) (/ 1 x))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) z)) (/ 1 x))))>
#<alt (+ 1 (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)))>
#<alt (+ 1 (+ (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)) (/ (* y (* z (- (/ 1 z) (/ (log y) z)))) x)))>
#<alt (+ 1 (+ (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)) (/ (* y (* z (- (/ 1 z) (/ (log y) z)))) x)))>
#<alt (+ 1 (+ (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)) (/ (* y (* z (- (/ 1 z) (/ (log y) z)))) x)))>
#<alt (/ (* y (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z))))) x)>
#<alt (* y (+ (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) (* x y))) (+ (/ 1 y) (/ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x))))>
#<alt (* y (+ (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) (* x y))) (+ (/ 1 y) (/ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x))))>
#<alt (* y (+ (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) (* x y))) (+ (/ 1 y) (/ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x))))>
#<alt (/ (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) x)) (* -1 (/ (+ 1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) x)) (* -1 (/ (+ 1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) x)) (* -1 (/ (+ 1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) x)) y)))))>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (+ x (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))) x)>
#<alt (/ (+ x (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))) x)>
#<alt (/ (+ x (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))) x)>
#<alt 1>
#<alt (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x))>
#<alt (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x))>
#<alt (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x))>
#<alt 1>
#<alt (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x))>
#<alt (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x))>
#<alt (+ 1 (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x))>
#<alt (/ (- y (* (log y) (+ 1/2 y))) x)>
#<alt (- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x))>
#<alt (* -1 (/ z x))>
#<alt (* z (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* z (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* z (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z)))))>
#<alt (* -1 (/ z x))>
#<alt (* -1 (* z (+ (* -1 (/ (- (/ y x) (/ (* (log y) (+ 1/2 y)) x)) z)) (/ 1 x))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (/ y x) (/ (* (log y) (+ 1/2 y)) x)) z)) (/ 1 x))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (/ y x) (/ (* (log y) (+ 1/2 y)) x)) z)) (/ 1 x))))>
#<alt (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x))>
#<alt (+ (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)) (/ (* y (* z (- (/ 1 z) (/ (log y) z)))) x))>
#<alt (+ (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)) (/ (* y (* z (- (/ 1 z) (/ (log y) z)))) x))>
#<alt (+ (* -1 (/ (* z (+ 1 (* 1/2 (/ (log y) z)))) x)) (/ (* y (* z (- (/ 1 z) (/ (log y) z)))) x))>
#<alt (/ (* y (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z))))) x)>
#<alt (* y (+ (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) (* x y))) (/ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x)))>
#<alt (* y (+ (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) (* x y))) (/ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x)))>
#<alt (* y (+ (* -1 (/ (* z (+ 1 (* -1/2 (/ (log (/ 1 y)) z)))) (* x y))) (/ (* z (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x)))>
#<alt (/ (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) (* x y))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) x)))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) (* x y))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) x)))))>
#<alt (* -1 (* y (+ (* -1 (/ (* z (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) z)) 1)) (* x y))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) x)))))>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (/ (* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) x)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ (log y) z))) x))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (log y) z))) x)) (* y (- (/ 1 (* x z)) (/ (log y) (* x z)))))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (log y) z))) x)) (* y (- (/ 1 (* x z)) (/ (log y) (* x z)))))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (log y) z))) x)) (* y (- (/ 1 (* x z)) (/ (log y) (* x z)))))>
#<alt (/ (* y (- (/ 1 z) (* -1 (/ (log (/ 1 y)) z)))) x)>
#<alt (* y (- (+ (* -1 (/ (+ 1 (* -1/2 (/ (log (/ 1 y)) z))) (* x y))) (/ 1 (* x z))) (* -1 (/ (log (/ 1 y)) (* x z)))))>
#<alt (* y (- (+ (* -1 (/ (+ 1 (* -1/2 (/ (log (/ 1 y)) z))) (* x y))) (/ 1 (* x z))) (* -1 (/ (log (/ 1 y)) (* x z)))))>
#<alt (* y (- (+ (* -1 (/ (+ 1 (* -1/2 (/ (log (/ 1 y)) z))) (* x y))) (/ 1 (* x z))) (* -1 (/ (log (/ 1 y)) (* x z)))))>
#<alt (/ (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) (* x z))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* x z))) (* -1 (/ (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x z))) (/ 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* x z))) (* -1 (/ (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x z))) (/ 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) (* x z))) (* -1 (/ (- (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x z))) (/ 1 x)) y)))))>
#<alt (/ (- y (* (log y) (+ 1/2 y))) (* x z))>
#<alt (/ (- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) z)>
#<alt (/ (- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) z)>
#<alt (/ (- (+ (* -1 (/ z x)) (/ y x)) (/ (* (log y) (+ 1/2 y)) x)) z)>
#<alt (/ -1 x)>
#<alt (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))>
#<alt (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))>
#<alt (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))>
#<alt (/ -1 x)>
#<alt (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))>
#<alt (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))>
#<alt (- (/ y (* x z)) (+ (/ 1 x) (/ (* (log y) (+ 1/2 y)) (* x z))))>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (/ (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))) x)>
#<alt (* 1/2 (/ (log y) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))>
#<alt (* -1 (/ (* y (log (/ 1 y))) x))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (* y (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y)))))>
#<alt (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x)>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* x y))))))>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ (* (log y) (+ 1/2 y)) x)>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (/ x (+ 1/2 y))>
#<alt (* 2 x)>
#<alt (+ (* -4 (* x y)) (* 2 x))>
#<alt (+ (* 2 x) (* y (- (* 8 (* x y)) (* 4 x))))>
#<alt (+ (* 2 x) (* y (- (* y (- (* -16 (* x y)) (* -8 x))) (* 4 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/2 (/ x y))) y)>
#<alt (/ (- (+ x (* 1/4 (/ x (pow y 2)))) (* 1/2 (/ x y))) y)>
#<alt (/ (- (+ x (* -1/8 (/ x (pow y 3)))) (+ (* -1/4 (/ x (pow y 2))) (* 1/2 (/ x y)))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/2 (/ x y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* 1/4 (/ x y)) (* 1/2 x)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ x y)) (* 1/4 x)) y)) (* 1/2 x)) y))) y))>
#<alt (* -1/2 (/ (log y) z))>
#<alt (+ (* -1/2 (/ (log y) z)) (* y (- (/ 1 z) (/ (log y) z))))>
#<alt (+ (* -1/2 (/ (log y) z)) (* y (- (/ 1 z) (/ (log y) z))))>
#<alt (+ (* -1/2 (/ (log y) z)) (* y (- (/ 1 z) (/ (log y) z))))>
#<alt (/ (* y (- 1 (* -1 (log (/ 1 y))))) z)>
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ 1 z)) (* -1 (/ (log (/ 1 y)) z))))>
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ 1 z)) (* -1 (/ (log (/ 1 y)) z))))>
#<alt (* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ 1 z)) (* -1 (/ (log (/ 1 y)) z))))>
#<alt (/ (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) z)>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>
#<alt (/ (- y (* (log y) (+ 1/2 y))) z)>

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
1.0ms	y	@	-inf	(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
1.0ms	y	@	inf	(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
1.0ms	z	@	-inf	(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
1.0ms	y	@	0	(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))

rewrite438.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4638×	`-lowering-.f32`
4638×	`-lowering-.f64`
2850×	`/-lowering-/.f32`
2850×	`/-lowering-/.f64`
2038×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	165
1	246	161
2	2465	152
0	9779	152

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 483

Calls

Call 1

Inputs
(+ (- y z) (* x (- 1 (/ (log y) (/ x (+ y 1/2))))))
(- y z)
(* x (- 1 (/ (log y) (/ x (+ y 1/2)))))
(- 1 (/ (log y) (/ x (+ y 1/2))))
(neg z)
(/ (- 0 (* z (* z z))) (* z z))
(- 0 (* z (* z z)))
(* z (* z z))
(* z z)
(- (- y (* (log y) 1/2)) z)
(- y (* (log y) 1/2))
(* (log y) 1/2)
(log y)
(* x (+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))))
(+ 1 (* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)))
(* z (/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x))
(/ (+ -1 (/ (- y (* (log y) (+ 1/2 y))) z)) x)
(/ (log y) (/ x (+ y 1/2)))
(/ x (+ y 1/2))
(/ (- y (* (log y) (+ 1/2 y))) z)

Outputs
(+.f64 y (neg.f64 (-.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(+.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (-.f64 y z))
(+.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) y) (-.f64 #s(literal 0 binary64) z))
(-.f64 y (-.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (.f64 (-.f64 y z) (-.f64 y z)) (-.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(-.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) y) z)
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 y z))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) x (-.f64 y z))
(fma.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (+.f64 y z)))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(fma.f64 (-.f64 (.f64 y y) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (-.f64 y z)))) (+.f64 (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z))) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (-.f64 y z)))))
(/.f64 (+.f64 (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z))) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (.f64 (*.f64 (-.f64 y z) x) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (.f64 (-.f64 y z) (-.f64 y z)) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (-.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))))))
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(/.f64 (.f64 (/.f64 (log.f64 y) x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 y) x))
(*.f64 (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (log.f64 y))
(*.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) x)) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (log.f64 y) (-.f64 #s(literal 0 binary64) x)) (+.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 x (+.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.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 x (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 x (+.f64 (.f64 y y) #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1/2 binary64))))
(+.f64 (/.f64 y z) (neg.f64 (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) (log.f64 y)))) (fma.f64 (neg.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) (log.f64 y) (.f64 (/.f64 (+.f64 y #s(literal 1/2 binary64)) z) (log.f64 y))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (/.f64 (log.f64 y) z) (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (log.f64 y) z)) (+.f64 y #s(literal 1/2 binary64)) (.f64 (/.f64 (log.f64 y) z) (+.f64 y #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 z (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (.f64 z (+.f64 (.f64 y y) (.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 z (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 y z) (.f64 z (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z))
(/.f64 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) z)
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y y) (.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) z))
(/.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (pow.f64 (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (+.f64 (pow.f64 (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)) (.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))))
(/.f64 (-.f64 (.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))) (+.f64 (/.f64 y z) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) z))))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 y y) (.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)) (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)) z)
(/.f64 (-.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 (.f64 y (/.f64 z (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) z) (.f64 z (/.f64 z (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 z (-.f64 #s(literal 0 binary64) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) (.f64 z (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 z (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (/.f64 z y) #s(literal 1 binary64))) (.f64 (/.f64 z y) (/.f64 z (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 z y) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (/.f64 z y) z))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 (neg.f64 y) (/.f64 z (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (neg.f64 y) z) (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))) (.f64 z z))
(pow.f64 (/.f64 z (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z))
(.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) z))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (-.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))))
(.f64 (pow.f64 (/.f64 z (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))))))

simplify314.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3968×	`-lowering-.f32`
3968×	`-lowering-.f64`
1928×	`+-lowering-+.f64`
1928×	`+-lowering-+.f32`
1300×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	5904
1	1429	5092
2	4793	4894
0	8336	4894

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(- (* x (- 1 (* 1/2 (/ (log y) x)))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(* -1 z)
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
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 (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* (log y) (+ 1/2 y)))
(+ x (* -1 (* (log y) (+ 1/2 y))))
(+ x (* -1 (* (log y) (+ 1/2 y))))
(+ x (* -1 (* (log y) (+ 1/2 y))))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* x (- 1 (* 1/2 (/ (log y) x))))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))
(* y (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y)))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))
(* -1 (* y (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) y))))))
(- 1 (* 1/2 (/ (log y) x)))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
(/ (* y (log (/ 1 y))) x)
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(* y (- (/ 1 y) (+ (* -1 (/ (log (/ 1 y)) x)) (* -1/2 (/ (log (/ 1 y)) (* x y))))))
(* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 y))))) x))
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(/ (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) z)
(* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))
(* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))
(* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)

Outputs
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(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) z)
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(- (+ (* x (- 1 (* 1/2 (/ (log y) x)))) (* y (+ 1 (* -1 (log y))))) z)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(* y (+ 1 (log (/ 1 y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
(.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) x)) (/.f64 x y)) (/.f64 z y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
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(* y (- (+ 1 (+ (log (/ 1 y)) (/ (* x (- 1 (* -1/2 (/ (log (/ 1 y)) x)))) y))) (/ z y)))
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(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
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(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) x)))) z) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* x (- 1 (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x)))) z) y)))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) x)))) z) y))) (-.f64 #s(literal 0 binary64) y))
(+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)))))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+.f64 y (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) z))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+.f64 y (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) z))
(+ y (+ (* -1 z) (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))))
(+.f64 y (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(.f64 z (+.f64 (/.f64 y z) (+.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) z) #s(literal -1 binary64))))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
(.f64 z (+.f64 (/.f64 y z) (+.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) z) #s(literal -1 binary64))))
(* z (- (+ (/ y z) (/ (* x (- 1 (/ (* (log y) (+ 1/2 y)) x))) z)) 1))
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(* -1 z)
(-.f64 #s(literal 0 binary64) z)
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(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ y (* x (- 1 (/ (* (log y) (+ 1/2 y)) x)))) z)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))) z)) (-.f64 #s(literal 0 binary64) z))
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)
(-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)))
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)
(+.f64 x (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)) 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))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)) x)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)) x))))
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(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) z)) x))))
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(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* (log y) (+ 1/2 y)))
(*.f64 (log.f64 y) (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(+ x (* -1 (* (log y) (+ 1/2 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(+ x (* -1 (* (log y) (+ 1/2 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
(+ x (* -1 (* (log y) (+ 1/2 y))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
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(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
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(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) (*.f64 y (log.f64 y)))
(+ (* -1 (* y (log y))) (* x (- 1 (* 1/2 (/ (log y) x)))))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) (*.f64 y (log.f64 y)))
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(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) x))) (*.f64 y (log.f64 y)))
(* y (log (/ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 y (log.f64 y)))
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(.f64 y (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) x)) (/.f64 x y)) (log.f64 y)))
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(- (+ 1 (* -1 (/ (* y (log y)) x))) (* 1/2 (/ (log y) x)))
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(/ (* y (log (/ 1 y))) x)
(/.f64 (*.f64 y (log.f64 y)) (-.f64 #s(literal 0 binary64) x))
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(* -1 (/ (* (log y) (+ 1/2 y)) x))
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(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ 1 z)) (* -1 (/ (log (/ 1 y)) z))))
(.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) (/.f64 (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) y) z)))
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) (* y z))) (/ 1 z)) (* -1 (/ (log (/ 1 y)) z))))
(.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) (/.f64 (/.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) y) z)))
(/ (* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) z)
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) (/.f64 y z))
(* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) z) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y z)))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) z) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y z)))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))) z)) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y z))))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64)))) z) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y z)))) (-.f64 #s(literal 0 binary64) y))
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)
(/ (- y (* (log y) (+ 1/2 y))) z)
(/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)

eval125.0ms (1.1%)

Compiler: Compiled 20318 to 2198 computations (89.2% saved)

prune135.0ms (1.2%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	953	20	973
Fresh	5	19	24
Picked	3	2	5
Done	0	4	4
Total	961	45	1006

Accuracy

100.0%

Counts

1006 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) x) x (-.f64 y z))
	2.0%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))))) (.f64 z z))
	3.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 z z))) (.f64 z z))
	9.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) z) z)
	2.6%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z z))
	3.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 z z))
	12.9%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
	35.9%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) z) (.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z))
	29.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
	29.6%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
	3.5%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (*.f64 z z)))
	2.6%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (*.f64 z z)))))
	7.1%	(/.f64 (neg.f64 (.f64 z (.f64 z z))) (*.f64 z z))
	12.8%	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
	30.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
✓	73.9%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
	59.7%	(-.f64 (-.f64 y (*.f64 (log.f64 y) y)) z)
✓	44.8%	(-.f64 (-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
	85.1%	(-.f64 (-.f64 x (-.f64 (*.f64 y (log.f64 y)) y)) z)
	85.1%	(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
✓	70.7%	(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
	45.8%	(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
	59.8%	(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
	43.8%	(-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
	30.7%	(-.f64 y z)
	35.2%	(-.f64 x (*.f64 y (log.f64 y)))
	40.9%	(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
	55.5%	(-.f64 x z)
	72.1%	(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x y)))))
	86.8%	(+.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64))))))
	64.9%	(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) x) (*.f64 z x)) x)
	60.1%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
	25.9%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) (.f64 y z))
	12.8%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
	16.4%	(*.f64 z (/.f64 x z))
	80.3%	(.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)))))
	22.2%	(.f64 z (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 y) z))))
✓	30.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
	19.3%	(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z x)))
	35.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x))))
	43.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal -1 binary64) x))))
	21.1%	(.f64 x (.f64 y (/.f64 (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z)) x)))
✓	31.0%	(neg.f64 z)
	2.7%	y
✓	26.3%	x

Compiler

Compiled 1857 to 680 computations (63.4% saved)

regimes116.0ms (1%)

Counts

71 → 1

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(-.f64 y z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) z) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 z z))) (.f64 z z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 z z))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z z))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))))) (.f64 z z))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(-.f64 x (*.f64 y (log.f64 y)))
(-.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 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) y)) z)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) (.f64 y z))
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (-.f64 (*.f64 y (log.f64 y)) y)) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)
(.f64 z (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 y) z))))
(-.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 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(.f64 x (.f64 y (/.f64 (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z)) x)))
(+.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x)))))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x y)))))
(-.f64 (+.f64 (.f64 x (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) x)) y) z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) x))))
(.f64 z (+.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) z) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(+.f64 (-.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x)))) y) z)
(-.f64 (+.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 y) x) (+.f64 y #s(literal 1/2 binary64))))) y) z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) z)) x))))
(.f64 z (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 x z) (.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) 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)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z)) x) (*.f64 z x)) x)
(.f64 z (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (/.f64 (+.f64 y #s(literal 1/2 binary64)) x))) (/.f64 x z)) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 (+.f64 x (-.f64 z y)) (-.f64 (.f64 x x) (.f64 (-.f64 z y) (-.f64 z y)))) (.f64 (+.f64 (.f64 y y) #s(literal -1/4 binary64)) (log.f64 y)))) (.f64 (/.f64 (+.f64 x (-.f64 z y)) (-.f64 (.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y)))) (+.f64 y #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (log.f64 y))) x) x (-.f64 y z))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (/.f64 x (+.f64 y #s(literal 1/2 binary64))))) x (-.f64 y z))
(+.f64 (-.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 (log.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) (log.f64 y)) #s(literal -1 binary64)))) x (-.f64 y z))
(-.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64)) (*.f64 y y))))) z)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) (-.f64 (pow.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 y y)))) z)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 y) (+.f64 (log.f64 y) #s(literal 1 binary64)))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) (-.f64 y z))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) z) (.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y #s(literal 1/2 binary64)))) z))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) (/.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))) (.f64 (+.f64 y z) #s(literal 1 binary64))) (.f64 (+.f64 y z) (/.f64 (+.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #s(literal 2 binary64))))))

Outputs
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)

Calls

5 calls:

23.0ms	x
23.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
22.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
21.0ms	z
21.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
99.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes72.0ms (0.6%)

Counts

43 → 1

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Calls

5 calls:

14.0ms	y
14.0ms	z
14.0ms	x
14.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
13.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
99.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes43.0ms (0.4%)

Counts

41 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (-.f64 x (-.f64 z y)) (*.f64 y (log.f64 y)))

Calls

3 calls:

14.0ms	x
13.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.7%	2	`y`
85.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Counts

37 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts

36 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) z)
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)

Calls

2 calls:

12.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
77.7%	3	`x`
89.6%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes37.0ms (0.3%)

Counts

32 → 3

Calls

Call 1

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

Outputs
(-.f64 x z)
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z)
(-.f64 x z)

Calls

3 calls:

12.0ms	z
10.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
77.3%	3	`x`
76.8%	3	`z`
76.8%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.3%)

Counts

31 → 4

Calls

Call 1

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

Calls

3 calls:

12.0ms	z
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
69.6%	3	`y`
76.9%	4	`z`
72.5%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

30 → 3

Calls

Call 1

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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
74.9%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts

29 → 3

Calls

Call 1

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

Outputs
(-.f64 x z)
(-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z)
(-.f64 x z)

Calls

2 calls:

14.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
70.1%	3	`x`
69.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.2%)

Counts

28 → 3

Calls

Call 1

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

Outputs
(-.f64 x z)
(+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(-.f64 x z)

Calls

2 calls:

11.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
69.8%	3	`z`
58.7%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes35.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(-.f64 y z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) z) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 z z))) (.f64 z z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 z z))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z z))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))))) (.f64 z z))
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))

Outputs
(-.f64 x z)
(*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y)))

Calls

2 calls:

25.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
67.5%	2	`y`
59.5%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes39.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 x z)
(-.f64 y z)
(*.f64 z (/.f64 x z))
(-.f64 (+.f64 x y) z)
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) z) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 z z))) (.f64 z z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 z z))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 z z))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (.f64 (.f64 z z) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))))) (.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))))) (.f64 z z))

Outputs
(-.f64 x z)

Calls

3 calls:

22.0ms	x
8.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`z`
55.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)

Outputs
x
(neg.f64 z)
x

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
50.4%	3	`x`
46.5%	3	`z`
34.1%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -15.5b remaining (-32.9%)

Threshold costs -15.5b (-32.9%)

Counts

2 → 1

Calls

Call 1

Inputs
x
y

Outputs
x

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
26.3%	1	`y`
26.3%	1	`z`
26.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.097313650772328e-10	8.14600053161146e-7

Results

12.0ms

128×

valid

Compiler

Compiled 229 to 159 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-log: 3.0ms (42.8% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

ival-mult: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.097313650772328e-10	8.14600053161146e-7

Results

13.0ms

128×

valid

Compiler

Compiled 229 to 159 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.1% of total)

ival-log: 2.0ms (26.1% of total)

ival-sub: 1.0ms (13% of total)

ival-mult: 1.0ms (13% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.4107581198869564e+31	1.9254621232202165e+36

Results

11.0ms

128×

valid

Compiler

Compiled 213 to 159 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log: 2.0ms (35.7% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-mult: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.810255814350927e+113	5.5045523621881875e+113
19.0ms	-3.9542226971261075e+81	-5.378293369197942e+75

Results

21.0ms	206×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 268 to 197 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (32.5% of total)

ival-add: 2.0ms (21.7% of total)

ival-mult: 2.0ms (21.7% of total)

ival-sub: 2.0ms (21.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.231440221089015e+33	6.645000344524905e+38
15.0ms	3.4054875079026266e-121	6.834657651629063e-117
20.0ms	-1846192.9989772774	-1.0533714400617403e-7

Results

39.0ms

432×

valid

Compiler

Compiled 574 to 425 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 7.0ms (30.5% of total)

ival-log: 7.0ms (30.5% of total)

ival-add: 5.0ms (21.8% of total)

ival-mult: 3.0ms (13.1% of total)

const: 1.0ms (4.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1622232236283129.5	8073143654808941.0
24.0ms	-1846192.9989772774	-1.0533714400617403e-7

Results

21.0ms

256×

valid

Compiler

Compiled 325 to 239 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 3.0ms (26.7% of total)

ival-log: 3.0ms (26.7% of total)

ival-add: 3.0ms (26.7% of total)

ival-mult: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.236873290646763e+35	3.81503465193196e+37
17.0ms	-532.9573747761267	-3.1532325039599463

Results

25.0ms

224×

valid

Compiler

Compiled 259 to 197 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (40.4% of total)

ival-log: 3.0ms (24.3% of total)

ival-sub: 2.0ms (16.2% of total)

ival-mult: 2.0ms (16.2% 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

Time	Left	Right
16.0ms	9.358306117279024e-6	555.3075649848223
22.0ms	-1846192.9989772774	-1.0533714400617403e-7

Results

25.0ms

304×

valid

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 (30.5% of total)

ival-sub: 3.0ms (22.9% of total)

ival-add: 3.0ms (22.9% of total)

ival-mult: 2.0ms (15.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	1.7800679531349655e+124	3.775797362013882e+125

Results

43.0ms

112×

valid

Compiler

Compiled 140 to 106 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 2.0ms (41.2% of total)

ival-sub: 1.0ms (20.6% of total)

ival-add: 1.0ms (20.6% of total)

ival-mult: 1.0ms (20.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.922544730378133e+65	7.060042587844522e+68
13.0ms	-5.378293369197942e+75	-2.87493851275872e+73

Results

26.0ms

240×

valid

Compiler

Compiled 186 to 150 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (28.6% of total)

ival-add: 3.0ms (28.6% of total)

ival-sub: 2.0ms (19.1% of total)

ival-mult: 2.0ms (19.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

426×	`unsub-neg_binary64`
166×	`neg-mul-1_binary64`
140×	`distribute-lft-neg-in_binary64`
90×	`cancel-sign-sub_binary64`
84×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	227
1	139	227
2	187	227
3	215	227
4	258	227
5	310	227
6	386	227
7	570	227
8	810	227
9	842	227
10	864	227
11	882	227
12	895	227
13	897	227

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 y #s(literal 944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (-.f64 x (-.f64 z y)) (.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (+.f64 (-.f64 x (.f64 y (log.f64 y))) y) z))
(if (<=.f64 y #s(literal 619999999999999973174172239607627776 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(if (<=.f64 x #s(literal -6800000000000000140031853615150282345560774615139097437222787180058012127592448 binary64)) (-.f64 x z) (if (<=.f64 x #s(literal 400000000000000006223766451786737209707280558768424573347908232172333512465902281305994155966018979070482512347136 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (-.f64 x z)))
(if (<=.f64 z #s(literal -1400000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 5996419475438757/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (if (<=.f64 z #s(literal 33999999999999999302479358166302720 binary64)) (-.f64 y (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 x z))))
(if (<=.f64 z #s(literal -1820000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 1650000000000000 binary64)) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 x z)))
(if (<=.f64 x #s(literal -122 binary64)) (-.f64 x z) (if (<=.f64 x #s(literal 530000000000000009201282075158642688 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))
(if (<=.f64 z #s(literal -260 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 200 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (-.f64 x z)))
(if (<=.f64 y #s(literal 18599999999999999203767267303368912331037910956998274390944335603920359020616239007064351413328169886485402672994780876636160 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 x #s(literal -700000000000000028924749036486353023554266867697757647194002182985895378944 binary64)) x (if (<=.f64 x #s(literal 1249999999999999978420969729898199789654972859447616534822143393792 binary64)) (neg.f64 z) x))
x

Outputs
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) y)) z)
(-.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
(-.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 944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (-.f64 x (-.f64 z y)) (.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (+.f64 x (-.f64 y z)) (.f64 y (log.f64 y))))
(if (<=.f64 y #s(literal 944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (+.f64 (-.f64 x (.f64 y (log.f64 y))) y) z))
(if (<=.f64 y #s(literal 944473296573929/1180591620717411303424 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (+.f64 y (-.f64 x (.f64 y (log.f64 y)))) z))
(if (<=.f64 y #s(literal 619999999999999973174172239607627776 binary64)) (-.f64 (+.f64 x (.f64 (log.f64 y) #s(literal -1/2 binary64))) z) (-.f64 (.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z))
(if (<=.f64 x #s(literal -6800000000000000140031853615150282345560774615139097437222787180058012127592448 binary64)) (-.f64 x z) (if (<=.f64 x #s(literal 400000000000000006223766451786737209707280558768424573347908232172333512465902281305994155966018979070482512347136 binary64)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))) z) (-.f64 x z)))
(if (<=.f64 z #s(literal -1400000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 5996419475438757/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (if (<=.f64 z #s(literal 33999999999999999302479358166302720 binary64)) (-.f64 y (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 x z))))
(if (<=.f64 z #s(literal -1820000 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 1650000000000000 binary64)) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 x z)))
(if (<=.f64 x #s(literal -122 binary64)) (-.f64 x z) (if (<=.f64 x #s(literal 530000000000000009201282075158642688 binary64)) (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) z) (-.f64 x z)))
(if (<=.f64 z #s(literal -260 binary64)) (-.f64 x z) (if (<=.f64 z #s(literal 200 binary64)) (+.f64 x (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (-.f64 x z)))
(if (<=.f64 y #s(literal 18599999999999999203767267303368912331037910956998274390944335603920359020616239007064351413328169886485402672994780876636160 binary64)) (-.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) (log.f64 y))))
(-.f64 x z)
(if (<=.f64 x #s(literal -700000000000000028924749036486353023554266867697757647194002182985895378944 binary64)) x (if (<=.f64 x #s(literal 1249999999999999978420969729898199789654972859447616534822143393792 binary64)) (neg.f64 z) x))
(if (<=.f64 x #s(literal -700000000000000028924749036486353023554266867697757647194002182985895378944 binary64)) x (if (<=.f64 x #s(literal 1249999999999999978420969729898199789654972859447616534822143393792 binary64)) (-.f64 #s(literal 0 binary64) z) x))
x

soundness1.8s (15.9%)

Rules

3698×	`-lowering-.f32`
3698×	`-lowering-.f64`
3644×	`+-lowering-+.f64`
3644×	`+-lowering-+.f32`
3516×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	24	11
2	84	11
3	355	10
4	1703	10
5	4659	10
0	8262	10
0	30	155
1	239	154
2	2382	146
0	8813	146
0	274	3987
1	924	3541
2	3227	3326
0	8333	3326
0	169	2264
1	559	2069
2	1904	1892
3	7521	1892
0	8334	1892
0	13	61
1	114	59
2	1254	57
0	8458	57

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 538 to 291 computations (45.9% saved)

preprocess114.0ms (1%)

Compiler: Compiled 538 to 202 computations (62.5% saved)

Iter	Nodes	Cost
0	81	227
1	139	227
2	187	227
3	215	227
4	258	227
5	310	227
6	386	227
7	570	227
8	810	227
9	842	227
10	864	227
11	882	227
12	895	227
13	897	227

Iter	Nodes	Cost
0	81	227
1	139	227
2	187	227
3	215	227
4	258	227
5	310	227
6	386	227
7	570	227
8	810	227
9	842	227
10	864	227
11	882	227
12	895	227
13	897	227

analyze1.0ms (0%)

sample1.1s (9.4%)

preprocess441.0ms (3.9%)

explain128.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (1.1%)

localize74.0ms (0.6%)

series81.0ms (0.7%)

rewrite366.0ms (3.2%)

simplify247.0ms (2.2%)

eval88.0ms (0.8%)

prune120.0ms (1.1%)

simplify141.0ms (1.2%)

localize188.0ms (1.7%)

series108.0ms (1%)

rewrite1.8s (15.8%)

simplify398.0ms (3.5%)

eval89.0ms (0.8%)

prune113.0ms (1%)

simplify159.0ms (1.4%)

localize222.0ms (2%)

series38.0ms (0.3%)

rewrite395.0ms (3.5%)

simplify307.0ms (2.7%)

eval259.0ms (2.3%)

prune161.0ms (1.4%)

simplify218.0ms (1.9%)

localize199.0ms (1.8%)

series28.0ms (0.2%)

rewrite438.0ms (3.9%)

simplify314.0ms (2.8%)

eval125.0ms (1.1%)

prune135.0ms (1.2%)

regimes116.0ms (1%)

regimes72.0ms (0.6%)

regimes43.0ms (0.4%)

regimes15.0ms (0.1%)

regimes26.0ms (0.2%)

regimes37.0ms (0.3%)

regimes37.0ms (0.3%)

regimes12.0ms (0.1%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes35.0ms (0.3%)

regimes39.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch30.0ms (0.3%)

bsearch58.0ms (0.5%)

bsearch38.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch48.0ms (0.4%)

bsearch36.0ms (0.3%)

simplify40.0ms (0.3%)

soundness1.8s (15.9%)

preprocess114.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	81	227
1	139	227
2	187	227
3	215	227
4	258	227
5	310	227
6	386	227
7	570	227
8	810	227
9	842	227
10	864	227
11	882	227
12	895	227
13	897	227