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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze463.0ms (4.5%)

Memory

-199.6MiB live, 395.0MiB allocated

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
20.7%	18.7%	71.8%	0.1%	0%	9.4%	0%	9
34.5%	29.6%	56.2%	0.1%	0%	14%	0%	10
34.5%	29.6%	56.2%	0.1%	0%	14%	0%	11
50.5%	42.1%	41.3%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.3s (22.1%)

Memory

65.7MiB live, 2 593.1MiB allocated

Samples

812.0ms	2 217×	1	valid
663.0ms	6 039×	0	valid
86.0ms	966×	0	invalid
17.0ms	26×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log: 533.0ms (42.5% of total)

ival-div: 245.0ms (19.5% of total)

ival-exp: 155.0ms (12.4% of total)

ival-add: 148.0ms (11.8% of total)

ival-mult: 105.0ms (8.4% of total)

adjust: 58.0ms (4.6% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain327.0ms (3.2%)

Memory

-35.7MiB live, 293.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
139	44	(-1.5158777991532468e-198 6.808346989887582e+119 9.18920590349565e-307)	0	-	`(log.f64 (/.f64 y (+.f64 z y)))`
48	0	-	4	(-2.8709355854569287e-62 -6.122572649481694e+162 1.1367751147380806e-148)	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 y (+.f64 z y))`
0	0	-	0	-	`(+.f64 z y)`
0	0	-	0	-	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`
0	0	-	0	-	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
0	0	-	0	-	`y`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	sensitivity	163	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	18	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	44
↳	`(/.f64 y (+.f64 z y))`	underflow	20
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	11	0

Confusion

	Predicted +	Predicted -
+	41	1
-	140	74

Precision

0.2265193370165746

Recall

0.9761904761904762

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	1
-	140	0	74

Precision?

0.2265193370165746

Recall?

0.9761904761904762

Freqs

test

number	freq
0	75
1	170
2	11

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

101.0ms	256×	1	valid
57.0ms	50×	2	valid
29.0ms	206×	0	valid

Compiler

Compiled 136 to 34 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-log: 48.0ms (39.1% of total)

adjust: 39.0ms (31.8% of total)

ival-div: 13.0ms (10.6% of total)

ival-add: 9.0ms (7.3% of total)

ival-exp: 8.0ms (6.5% of total)

ival-mult: 5.0ms (4.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess230.0ms (2.2%)

Memory

18.5MiB live, 56.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 782×	`div-sub`
850×	`sub-neg`
614×	`times-frac`
612×	`distribute-rgt-in`
612×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	106	104
2	224	102
3	480	102
4	1083	102
5	2262	100
6	3232	100
7	4472	100
8	5310	100
9	6024	100
10	6426	100
11	6651	100
12	6930	100
13	7226	100
14	7480	100
15	7805	100
16	7903	100
17	7905	100
18	7905	100
19	7905	100
20	7973	100
0	10	13
0	17	13
1	22	11
2	25	11
3	25	11
0	25	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
cost-diff	0	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
cost-diff	0	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
cost-diff	6656	(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))

Rules

8×	`lower-+.f32`
6×	`lower-exp.f32`
4×	`lift-+.f64`
4×	`lift-/.f64`
4×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	58
0	17	58
1	22	52
2	25	52
3	25	52
0	25	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z

Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(*.f64 y (log.f64 (/.f64 y (+.f64 y z))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(log.f64 (/.f64 y (+.f64 y z)))
(/.f64 y (+.f64 z y))
(/.f64 y (+.f64 y z))
(+.f64 z y)
(+.f64 y z)
z

localize137.0ms (1.3%)

Memory

-11.8MiB live, 107.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
accuracy	0.00390625	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy	10.730883764031756	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	31.236794223907996	(log.f64 (/.f64 y (+.f64 z y)))

Samples

69.0ms	25×	2	valid
47.0ms	128×	1	valid
9.0ms	103×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-log: 79.0ms (76.2% of total)

adjust: 7.0ms (6.8% of total)

ival-div: 6.0ms (5.8% of total)

ival-exp: 4.0ms (3.9% of total)

ival-add: 4.0ms (3.9% of total)

ival-mult: 3.0ms (2.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

-6.8MiB live, 68.3MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))>
#<alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))>
#<alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)>
#<alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))>
#<alt (log.f64 (/.f64 y (+.f64 z y)))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ z y)) 1))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))>
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (* y (+ (log (* -1 y)) (log (/ -1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (log (* -1 y)) (log (/ -1 z)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))>
#<alt 1>
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))>
#<alt (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
5.0ms	y	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
4.0ms	z	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
3.0ms	y	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
3.0ms	z	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))

simplify274.0ms (2.7%)

Memory

8.9MiB live, 408.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 548×	`lower-fma.f64`
10 548×	`lower-fma.f32`
4 850×	`lower-*.f64`
4 850×	`lower-*.f32`
4 000×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	3809
1	1535	3201
2	5319	2873
0	8124	2727

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

Inputs
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(* -1 z)
(* z (- (* 1/2 (/ z y)) 1))
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(* -1 (/ z y))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(* y (+ (log y) (log (/ 1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(+ (log y) (log (/ 1 z)))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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1
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(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
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(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
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(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
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(/ (exp (* -1 z)) y)
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(* -1 z)
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(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
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(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
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(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
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(/ (pow (/ y (+ y z)) y) y)
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x
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x
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Outputs
1
#s(literal 1 binary64)
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(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 z (.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) (exp.f64 (neg.f64 z)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (.f64 y y))) (exp.f64 (neg.f64 z)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (+.f64 (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (.f64 y y)) (/.f64 (fma.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 1/48 binary64) (.f64 (.f64 z (.f64 (.f64 z z) #s(literal -2 binary64))) #s(literal 1/12 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)))) (.f64 y (*.f64 y y))))) (exp.f64 (neg.f64 z)))
x
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 z z) (/.f64 (exp.f64 (neg.f64 z)) (*.f64 y y))) (/.f64 (exp.f64 (neg.f64 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(fma.f64 (+.f64 (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 z z) (/.f64 (exp.f64 (neg.f64 z)) (.f64 y y))) x))
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) (exp.f64 (neg.f64 z))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (.f64 y y))) (exp.f64 (neg.f64 z))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (+.f64 (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (.f64 y y)) (/.f64 (fma.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 1/48 binary64) (.f64 (.f64 z (.f64 (.f64 z z) #s(literal -2 binary64))) #s(literal 1/12 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)))) (.f64 y (*.f64 y y))))) (exp.f64 (neg.f64 z))) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) z)
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y))) z)
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))
(-.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y)))) z)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) z) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y))) z) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y)))) z) y)
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) (exp.f64 (neg.f64 z)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (.f64 z z) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) y))) y))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 z z) (exp.f64 (neg.f64 z))) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 2 binary64) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -1/48 binary64))) (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64))) y))) y)) y))
x
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(-.f64 x (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(+.f64 x (/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (.f64 z z) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) y))) y)) y))
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (.f64 z z) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) y))) y)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 z z) (exp.f64 (neg.f64 z))) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 2 binary64) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -1/48 binary64))) (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64))) y))) y)) y)) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) z)
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))
(-.f64 (neg.f64 z) (/.f64 (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/3 binary64)) y)) y))
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))
(-.f64 (neg.f64 z) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) y))) y)) y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) y) z) y)
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z z) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) y)) y)) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z z) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) (/.f64 #s(literal -1/24 binary64) y) (.f64 (.f64 z (.f64 z z)) #s(literal 1/3 binary64))) (neg.f64 y))) y)) (neg.f64 y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 y x)) x)
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (.f64 y x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (.f64 y x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (.f64 y x))) (neg.f64 x))

rewrite243.0ms (2.4%)

Memory

11.7MiB live, 428.8MiB allocated

Rules

3 390×	`lower-*.f32`
3 388×	`lower-*.f64`
3 144×	`lower-fma.f64`
3 144×	`lower-fma.f32`
2 802×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	47
0	17	47
1	64	41
2	458	41
3	6457	41
0	8028	41

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 264

Calls

Call 1

Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))

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

eval148.0ms (1.4%)

Memory: -39.8MiB live, 154.6MiB allocated
Compiler: Compiled 11 037 to 1 692 computations (84.7% saved)

prune96.0ms (0.9%)

Memory

22.6MiB live, 142.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	386	6	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	6	393

Accuracy

100.0%

Counts

393 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	56.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	64.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	66.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	83.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
▶	38.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 180 to 114 computations (36.7% saved)

simplify493.0ms (4.8%)

Memory

-23.1MiB live, 176.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4 176×	`lower-fma.f32`
4 172×	`lower-fma.f64`
1 504×	`lower-*.f64`
1 504×	`lower-*.f32`
768×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	276
0	52	276
1	82	256
2	134	256
3	212	256
4	319	256
5	548	256
6	1106	256
7	2161	256
8	2884	256
9	3607	256
10	3966	256
11	4306	256
12	4522	256
13	4741	256
14	4924	256
15	5353	256
16	5614	256
17	5660	256
18	5702	256
19	5702	256
20	5702	256
21	5702	256
0	5702	252

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize169.0ms (1.6%)

Memory

12.6MiB live, 331.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
accuracy	0.03125	(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.046875	(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
accuracy	27.121663527962397	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	27.820906349055242	#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy	18.224862444687812	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	39.26971483424904	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(neg.f64 z)
accuracy	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.00390625	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy	22.86260083621221	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))

Samples

91.0ms	128×	1	valid
19.0ms	25×	2	valid
17.0ms	103×	0	valid

Compiler

Compiled 211 to 24 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 27.0ms (36.8% of total)

ival-add: 13.0ms (17.7% of total)

ival-div: 12.0ms (16.4% of total)

adjust: 8.0ms (10.9% of total)

ival-mult: 6.0ms (8.2% of total)

ival-exp: 4.0ms (5.5% of total)

ival-sub: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-13.8MiB live, 69.6MiB allocated

Counts

19 → 480

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))>
#<alt (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)>
#<alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))>
#<alt #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))>
#<alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (neg.f64 z)>
#<alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))>

Outputs
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ z y)) 1))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
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#<alt (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
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#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt x>
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#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
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#<alt (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>

Calls

9 calls:

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

simplify332.0ms (3.2%)

Memory

39.2MiB live, 514.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 476×	`lower-fma.f64`
13 476×	`lower-fma.f32`
6 194×	`lower-*.f64`
6 194×	`lower-*.f32`
3 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	13170
1	1457	11291
2	5054	10088
0	8309	9568

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 460

Calls

Call 1

Inputs
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(/ 1 y)
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1
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1
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1
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1
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(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
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x
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(/ (exp (* -1 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
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(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
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(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
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x
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Outputs
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(/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 y))
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(/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 z (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) y))) y)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (-.f64 (.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) (exp.f64 (neg.f64 z))) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -1/48 binary64) (.f64 #s(literal 1/12 binary64) (.f64 z (.f64 #s(literal 2 binary64) (.f64 z z))))))) y) (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (*.f64 z z)) #s(literal -1/3 binary64))))) y)) y)) y)
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y) (exp.f64 (neg.f64 z)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (neg.f64 y)))) y))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 z)) (.f64 (.f64 z z) #s(literal -1/2 binary64))) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -1/48 binary64) (.f64 #s(literal 1/12 binary64) (.f64 z (.f64 #s(literal 2 binary64) (*.f64 z z))))))) y))) y)) y))
x
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(-.f64 x (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(+.f64 x (/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 z (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) y))) y)) y))
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 z (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) y))) y)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 z)) (/.f64 (-.f64 (.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) (exp.f64 (neg.f64 z))) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -1/48 binary64) (.f64 #s(literal 1/12 binary64) (.f64 z (.f64 #s(literal 2 binary64) (.f64 z z))))))) y) (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (*.f64 z z)) #s(literal -1/3 binary64))))) y)) y)) y)
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y) (exp.f64 (neg.f64 z)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (neg.f64 y)))) y))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 z)) (.f64 (.f64 z z) #s(literal -1/2 binary64))) (/.f64 (.f64 (exp.f64 (neg.f64 z)) (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -1/48 binary64) (.f64 #s(literal 1/12 binary64) (.f64 z (.f64 #s(literal 2 binary64) (*.f64 z z))))))) y))) y)) y))
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))

rewrite306.0ms (3%)

Memory

-16.7MiB live, 370.6MiB allocated

Rules

4 826×	`lower-/.f32`
4 814×	`lower-/.f64`
4 216×	`lower-*.f64`
4 216×	`lower-*.f32`
4 042×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	250
0	52	250
1	240	230
2	1977	230
0	9118	230

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 363

Calls

Call 1

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

eval96.0ms (0.9%)

Memory: 22.0MiB live, 176.7MiB allocated
Compiler: Compiled 21 429 to 1 561 computations (92.7% saved)

prune104.0ms (1%)

Memory

11.7MiB live, 171.8MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	812	11	823
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	813	16	829

Accuracy

100.0%

Counts

829 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.3%	(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
	45.0%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
✓	85.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	56.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	71.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	61.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))) y))
	55.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) y))
	59.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (.f64 z (.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) y))
▶	62.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
✓	66.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	40.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
▶	62.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
	41.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
✓	83.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	29.2%	(.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
✓	38.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 696 to 337 computations (51.6% saved)

simplify319.0ms (3.1%)

Memory

15.7MiB live, 362.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
cost-diff	128	(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
cost-diff	384	(fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
cost-diff	128	(+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64)))))
cost-diff	192	(fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
cost-diff	0	#s(approx (- 1 z) (neg.f64 z))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
cost-diff	0	(fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))

Rules

22 316×	`lower-fma.f32`
22 302×	`lower-fma.f64`
3 910×	`lower-+.f32`
3 890×	`lower-+.f64`
3 202×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	762
0	101	742
1	201	711
2	440	711
3	928	711
4	2401	711
5	5999	711
0	8401	677

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
z
#s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))
#s(literal 1 binary64)
(.f64 z (.f64 z z))
z
(*.f64 z z)
(+.f64 #s(literal 1 binary64) (fma.f64 z z z))
(fma.f64 z z z)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))
(/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)
(+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64)))))
y
(.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))
z
(fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 z #s(literal 1/2 binary64))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
#s(literal 1/2 binary64)
(fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
z
#s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 z (fma.f64 z z #s(literal 1 binary64))))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 z (fma.f64 z z #s(literal 1 binary64))))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
#s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 z (fma.f64 z z #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))
#s(literal 1 binary64)
(.f64 z (.f64 z z))
z
(*.f64 z z)
(+.f64 #s(literal 1 binary64) (fma.f64 z z z))
(+.f64 z (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z z)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)) y) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)) y) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)) y) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)) y) y))
(/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)) y) y)
(+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64)))))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)) y)
y
(.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y)))
z
(fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y z z) (neg.f64 y))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 z #s(literal 1/2 binary64))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y))))
#s(literal 1/2 binary64)
(fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize311.0ms (3%)

Memory

-42.2MiB live, 406.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.928942812616518	(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.6887138215886783	(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
accuracy	2.838527745668946	(fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
accuracy	27.351422088139742	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.0078125	(fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))
accuracy	0.03515625	(.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))
accuracy	5.456662688481428	(/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)
accuracy	27.121663527962397	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)))
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
accuracy	0.1015625	(.f64 z (.f64 z z))
accuracy	16.74525466003633	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
accuracy	27.820906349055242	#s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy	27.820906349055242	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
accuracy	34.68453216791489	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
accuracy	0.03125	(fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	16.644908337971668	#s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy	27.121663527962397	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))

Samples

149.0ms	120×	1	valid
53.0ms	136×	0	valid

Compiler

Compiled 468 to 50 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 30.0ms (21.5% of total)

ival-add: 27.0ms (19.4% of total)

const: 26.0ms (18.6% of total)

ival-log: 21.0ms (15.1% of total)

adjust: 13.0ms (9.3% of total)

ival-div: 13.0ms (9.3% of total)

ival-exp: 4.0ms (2.9% of total)

ival-neg: 3.0ms (2.2% of total)

ival-sub: 2.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series60.0ms (0.6%)

Memory

5.3MiB live, 81.6MiB allocated

Counts

29 → 696

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))>
#<alt #s(approx (- 1 z) (neg.f64 z))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))>
#<alt (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))>
#<alt (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64)))))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y)>
#<alt (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)>
#<alt #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))>
#<alt (neg.f64 z)>
#<alt (.f64 z (.f64 z z))>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)))>
#<alt (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)>
#<alt (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))>
#<alt (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))>

Outputs
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))>
#<alt (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))>
#<alt (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
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#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (- (* 1/2 z) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (* y (* z (- (* 1/2 z) 1)))>
#<alt (* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (- 1 (* z (* z z))) (+ 1 (+ (* z z) z))) (+ (* y (+ (* z 1/2) -1)) (* z 1/2)) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (neg (+ (/ 1/2 y) 1/6)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ 1/2 (/ 1/2 y))) -1) (neg z) (* z (* z z)) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2))) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1))
7.0ms	z	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (- 1 (* z (* z z))) (+ 1 (+ (* z z) z))) (+ (* y (+ (* z 1/2) -1)) (* z 1/2)) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (neg (+ (/ 1/2 y) 1/6)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ 1/2 (/ 1/2 y))) -1) (neg z) (* z (* z z)) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2))) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1))
5.0ms	z	@	-inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (- 1 (* z (* z z))) (+ 1 (+ (* z z) z))) (+ (* y (+ (* z 1/2) -1)) (* z 1/2)) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (neg (+ (/ 1/2 y) 1/6)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ 1/2 (/ 1/2 y))) -1) (neg z) (* z (* z z)) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2))) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1))
4.0ms	z	@	inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (- 1 (* z (* z z))) (+ 1 (+ (* z z) z))) (+ (* y (+ (* z 1/2) -1)) (* z 1/2)) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (neg (+ (/ 1/2 y) 1/6)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ 1/2 (/ 1/2 y))) -1) (neg z) (* z (* z z)) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2))) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1))
3.0ms	y	@	-inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (/ (- 1 (* z (* z z))) (+ 1 (+ (* z z) z))) (+ (* y (+ (* z 1/2) -1)) (* z 1/2)) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (neg (+ (/ 1/2 y) 1/6)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* z (+ 1/2 (/ 1/2 y))) -1) (neg z) (* z (* z z)) (exp (* y (log (/ y (+ z y))))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2))) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1))

simplify392.0ms (3.8%)

Memory

36.6MiB live, 515.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 100×	`lower-fma.f64`
12 100×	`lower-fma.f32`
6 768×	`lower-*.f64`
6 768×	`lower-*.f32`
4 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	609	17437
1	1933	15223
2	6654	15042
0	8166	14217

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 675

Calls

Call 1

Inputs
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 y)
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))
y
(+ y (* -1 (* y z)))
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(/ 1/2 y)
(+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))
(+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))
(+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))
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(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))

Outputs
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))
(fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
y
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 y z))
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y)
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)) y)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))
(fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))
(fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))
(fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 (.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
-1
#s(literal -1 binary64)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
(* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
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rewrite322.0ms (3.1%)

Memory

-2.2MiB live, 383.1MiB allocated

Rules

4 144×	`lower-*.f32`
4 134×	`lower-*.f64`
3 942×	`lower-fma.f32`
3 928×	`lower-fma.f64`
3 082×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	629
0	101	604
1	505	546
2	4600	546
0	8481	524

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

29 → 478

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64)))
(+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y)
(fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
#s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(neg.f64 z)
(.f64 z (.f64 z z))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)))
(/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y)
(.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))

Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))) (/.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x)
(fma.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x) (.f64 x x)) (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 y y)))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x) (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) y))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y y))) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y y)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))))
(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y) x) (.f64 x x)) (fma.f64 x (.f64 x x) (/.f64 (.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 y (.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)) (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 y y)))) #s(literal -1 binary64))
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(fma.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y)))) z (-.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64))) (-.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))))) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))))))
(.f64 (fma.f64 z (.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64))))

eval183.0ms (1.8%)

Memory: 8.9MiB live, 285.8MiB allocated
Compiler: Compiled 37 049 to 2 803 computations (92.4% saved)

prune147.0ms (1.4%)

Memory

-12.7MiB live, 267.5MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 144	9	1 153
Fresh	5	2	7
Picked	3	2	5
Done	0	4	4
Total	1 152	17	1 169

Accuracy

100.0%

Counts

1 169 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
✓	85.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	39.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
✓	71.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
▶	68.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	61.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 z (.f64 #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
	59.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))) (.f64 (+.f64 z (fma.f64 z z #s(literal 1 binary64))) (.f64 z (.f64 z z)))) (*.f64 (+.f64 z (fma.f64 z z #s(literal 1 binary64))) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))))) y))
✓	66.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	64.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) (fma.f64 z z z)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
✓	40.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
	36.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) z))) z) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))) y))) y))
	41.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
▶	69.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))
▶	41.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
▶	40.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
✓	83.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
✓	38.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 681 to 337 computations (50.5% saved)

simplify417.0ms (4%)

Memory

24.0MiB live, 345.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
cost-diff	128	(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))
cost-diff	0	#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
cost-diff	0	(fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))

Rules

21 174×	`lower-fma.f32`
21 156×	`lower-fma.f64`
3 690×	`lower-+.f32`
3 676×	`lower-+.f64`
2 534×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1386
0	132	1358
1	282	1328
2	628	1292
3	1269	1292
4	3213	1283
5	6822	1283
0	8135	1219

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))
(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)
#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z)))
(-.f64 y (*.f64 y z))
y
(*.f64 y z)
z
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
z
#s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))
(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)
#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))
(.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(*.f64 z z)
z
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))))
#s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))
(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))
(.f64 z (.f64 z z))
z
(*.f64 z z)
(-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
#s(literal -1/6 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))))
#s(literal 1/2 binary64)
#s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))
(/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))
(fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))
y
(fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))
#s(literal -1/6 binary64)
#s(literal -1/2 binary64)
(*.f64 z #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 y y)
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))
(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)
#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z)))
(-.f64 y (*.f64 y z))
y
(*.f64 y z)
z
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
z
#s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z))) y))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z))) y))
(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)
(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z))) y)
#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))
#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z)))
(.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))
(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y z z))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(*.f64 z z)
z
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) (.f64 z #s(literal -1/6 binary64))) (*.f64 z z)))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) (.f64 z #s(literal -1/6 binary64))) (*.f64 z z)))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) (.f64 z #s(literal -1/6 binary64))) (*.f64 z z))))
#s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))
#s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) (.f64 z #s(literal -1/6 binary64))) (*.f64 z z)))
(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))
(.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) (.f64 z #s(literal -1/6 binary64))) (*.f64 z z))
(.f64 z (.f64 z z))
z
(*.f64 z z)
(-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))
(+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))
#s(literal -1/6 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))))
#s(literal 1/2 binary64)
#s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))
(/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))
(fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/3 binary64)))
y
(fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))
#s(literal -1/6 binary64)
#s(literal -1/2 binary64)
(*.f64 z #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 y y)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize456.0ms (4.4%)

Memory

-19.1MiB live, 620.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.928942812616518	(fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.6887138215886783	(fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64))
accuracy	27.351422088139742	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	27.77266446321268	(/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))
accuracy	0.4666807006355738	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	5.9467008217788795	(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))
accuracy	27.351422088139742	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))))
accuracy	29.74793286493668	#s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))
accuracy	5.456662688481428	(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)
accuracy	6.196740288432441	(.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))
accuracy	27.121663527962397	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)))
accuracy	29.933264357505042	#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))
accuracy	0.1484375	(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.928942812616518	(fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	12.11223295155419	#s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy	27.351422088139742	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 y (*.f64 y z))
accuracy	5.456662688481428	(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)
accuracy	27.121663527962397	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)))
accuracy	27.306811547366483	#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z)))

Samples

255.0ms	119×	1	valid
79.0ms	136×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 605 to 68 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-add: 70.0ms (24% of total)

ival-log: 66.0ms (22.7% of total)

adjust: 62.0ms (21.3% of total)

ival-mult: 47.0ms (16.1% of total)

ival-div: 22.0ms (7.6% of total)

const: 15.0ms (5.2% of total)

ival-exp: 4.0ms (1.4% of total)

ival-sub: 3.0ms (1% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory

19.6MiB live, 133.3MiB allocated

Counts

32 → 804

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)))>
#<alt #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)))>
#<alt #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))>
#<alt (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))))>
#<alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))>
#<alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)>
#<alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z)))>
#<alt (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)>
#<alt (-.f64 y (*.f64 y z))>
#<alt #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))>
#<alt (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))>
#<alt (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)>
#<alt #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))>
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 y y))>
#<alt (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))>
#<alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64))>

Outputs
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))>
#<alt (+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))>
#<alt (+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 y)))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 y)))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 y)))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (/ 1/2 y)>
#<alt (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))>
#<alt (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))>
#<alt (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
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#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))>
#<alt (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))>
#<alt (* 1/2 (* y (pow z 2)))>
#<alt (* -1 (* y (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2)))))>
#<alt (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))>
#<alt (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))>
#<alt (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (- y (* y z)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z -1/6) 1/2) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (* (+ (* y 1/2) 1/2) (* z z)) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (/ 1/3 (* y y)) (/ (+ (* y (+ (* z (+ (* y -1/6) -1/2)) 1/2)) (* z -1/3)) (* y y)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1))
6.0ms	y	@	-inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (- y (* y z)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z -1/6) 1/2) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (* (+ (* y 1/2) 1/2) (* z z)) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (/ 1/3 (* y y)) (/ (+ (* y (+ (* z (+ (* y -1/6) -1/2)) 1/2)) (* z -1/3)) (* y y)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1))
5.0ms	y	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (- y (* y z)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z -1/6) 1/2) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (* (+ (* y 1/2) 1/2) (* z z)) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (/ 1/3 (* y y)) (/ (+ (* y (+ (* z (+ (* y -1/6) -1/2)) 1/2)) (* z -1/3)) (* y y)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1))
4.0ms	z	@	-inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (- y (* y z)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z -1/6) 1/2) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (* (+ (* y 1/2) 1/2) (* z z)) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (/ 1/3 (* y y)) (/ (+ (* y (+ (* z (+ (* y -1/6) -1/2)) 1/2)) (* z -1/3)) (* y y)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1))
4.0ms	z	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (- y (* y z)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (+ (* z -1/6) 1/2) (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (* (+ (* y 1/2) 1/2) (* z z)) (/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y) (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (/ 1/3 (* y y)) (/ (+ (* y (+ (* z (+ (* y -1/6) -1/2)) 1/2)) (* z -1/3)) (* y y)) (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1))

simplify410.0ms (4%)

Memory

10.6MiB live, 643.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 274×	`lower-fma.f64`
10 274×	`lower-fma.f32`
5 858×	`lower-*.f64`
5 858×	`lower-*.f32`
4 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	20032
1	1975	17759
2	6794	17345
0	8139	16274

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 781

Calls

Call 1

Inputs
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(/ 1 y)
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(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
1
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1
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(/ 1 y)
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1
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y
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Outputs
(+ x (/ 1 y))
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(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
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(/ 1 y)
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(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y))) y))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y))) y))
(* -1 (* y (- (* -1 (* z (- (* 1/2 z) 1))) 1)))
(fma.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) y)
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))
(fma.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/2 binary64))) y) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) y)
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))
(fma.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/2 binary64))) y) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) y)
(* -1 (* y (- (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y))) 1)))
(fma.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/2 binary64))) y) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) y)
(* 1/2 (* y (pow z 2)))
(.f64 y (.f64 z (*.f64 z #s(literal 1/2 binary64))))
(* -1 (* y (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2)))))
(.f64 y (.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* y (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2)))))
(.f64 y (.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* y (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2)))))
(.f64 y (.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
(+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
(+ (* -1 (- (* -1 (* z (- (* 1/2 z) 1))) 1)) (* 1/2 (/ (pow z 2) y)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) y) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z (.f64 z z)) y))) y))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(-.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z (.f64 z z)) y))) y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))
(-.f64 (*.f64 z #s(literal -1/6 binary64)) (/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) y))
(+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 z))) (* 1/3 (/ z y))) y)) (* -1/6 z))
(-.f64 (*.f64 z #s(literal -1/6 binary64)) (/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) y))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y))) y))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y))) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 x y)) x)
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (.f64 x y))) (neg.f64 x))

rewrite345.0ms (3.3%)

Memory

8.3MiB live, 560.8MiB allocated

Rules

4 080×	`lower-*.f32`
4 066×	`lower-*.f64`
3 854×	`lower-fma.f32`
3 836×	`lower-fma.f64`
2 794×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1205
0	132	1181
1	688	1151
2	6302	1151
0	8028	1053

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

32 → 412

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y)))
#s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))
(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (+ ( z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) (neg.f64 z))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ ( z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (+ ( z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) (neg.f64 z)))))
(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (+ ( z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal 1 binary64))))

eval205.0ms (2%)

Memory: 10.4MiB live, 240.3MiB allocated
Compiler: Compiled 38 065 to 2 213 computations (94.2% saved)

prune123.0ms (1.2%)

Memory

-39.9MiB live, 212.9MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 186	7	1 193
Fresh	2	4	6
Picked	5	0	5
Done	0	6	6
Total	1 193	17	1 210

Accuracy

100.0%

Counts

1 210 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
✓	85.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓	71.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	68.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	61.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
	61.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 z (.f64 #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
✓	66.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	64.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) (fma.f64 z z z)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
✓	40.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
	41.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
	34.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/.f64 (.f64 (fma.f64 y z y) (-.f64 y (.f64 y z))) (fma.f64 y z y))) y))) y))
	43.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) #s(approx (- y (* y z)) (*.f64 y (neg.f64 z)))) y))) y))
	43.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) #s(approx (* (+ (* y 1/2) 1/2) (* z z)) (.f64 y (.f64 z (*.f64 z #s(literal 1/2 binary64)))))) y))) y))
	30.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) #s(approx (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (.f64 y y))))) y))
	42.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) #s(approx (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (.f64 (.f64 z (*.f64 z z)) #s(literal -1/6 binary64))))) y))
✓	83.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
✓	38.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 1 089 to 374 computations (65.7% saved)

regimes73.0ms (0.7%)

Memory

26.6MiB live, 65.2MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) #s(approx (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (.f64 (.f64 z (*.f64 z z)) #s(literal -1/6 binary64))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) #s(approx (- y (* y z)) (*.f64 y (neg.f64 z)))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) #s(approx (* (+ (* y 1/2) 1/2) (* z z)) (.f64 y (.f64 z (*.f64 z #s(literal 1/2 binary64)))))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) #s(approx (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (.f64 y y))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/.f64 (.f64 (fma.f64 y z y) (-.f64 y (.f64 y z))) (fma.f64 y z y))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 z (.f64 #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) (fma.f64 z z z)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (.f64 z (.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))) (.f64 (+.f64 z (fma.f64 z z #s(literal 1 binary64))) (.f64 z (.f64 z z)))) (*.f64 (+.f64 z (fma.f64 z z #s(literal 1 binary64))) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))))) y))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
(.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) z))) z) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Outputs

(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))

(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))

(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))

Calls

5 calls:

32.0ms	z
10.0ms	y
10.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
10.0ms	x
10.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
89.3%	2	`x`
100.0%	3	`y`
87.6%	2	`z`
92.4%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
92.9%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes69.0ms (0.7%)

Memory

-31.2MiB live, 89.3MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) #s(approx (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (.f64 (.f64 z (*.f64 z z)) #s(literal -1/6 binary64))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) #s(approx (- y (* y z)) (*.f64 y (neg.f64 z)))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (-.f64 y (*.f64 y z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) #s(approx (* (+ (* y 1/2) 1/2) (* z z)) (.f64 y (.f64 z (*.f64 z #s(literal 1/2 binary64)))))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) #s(approx (* (* z (* z z)) (- -1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (.f64 y y))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (/.f64 (.f64 (fma.f64 y z y) (-.f64 y (.f64 y z))) (fma.f64 y z y))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (.f64 y y))))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 z (.f64 #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z #s(approx (+ ( z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (.f64 z #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) (fma.f64 z z z)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (.f64 z z) (.f64 #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z #s(approx (+ (* z (+ 1/2 (+ (* z (+ (/ -1/3 (* y y)) (neg (+ (/ 1/2 y) 1/6)))) (/ 1/2 y)))) -1) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (.f64 z (.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))) (.f64 (+.f64 z (fma.f64 z z #s(literal 1 binary64))) (.f64 z (.f64 z z)))) (*.f64 (+.f64 z (fma.f64 z z #s(literal 1 binary64))) (+.f64 z (fma.f64 z z #s(literal 1 binary64)))))) y))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
(.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) z))) z) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) z)))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) y))

Outputs

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

(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))

Calls

5 calls:

28.0ms	y
10.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
9.0ms	x
9.0ms	z
9.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
87.4%	2	`z`
83.6%	1	`x`
83.6%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
83.6%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
86.7%	2	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
83.6%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
83.6%	1	`y`
83.6%	1	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
38.6%	1	`z`
38.6%	1	`x`
38.6%	1	`y`
38.6%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
38.6%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch64.0ms (0.6%)

Memory

-16.7MiB live, 97.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.5990654034719518e-55	7.545409871721226e-53
37.0ms	-3.6334237279296434e+22	-206646825224538080.0

Samples

25.0ms	217×	0	valid
12.0ms	55×	1	valid
6.0ms	90×	0	invalid

Compiler

Compiled 393 to 271 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 9.0ms (31.3% of total)

ival-log: 9.0ms (31.3% of total)

ival-add: 4.0ms (13.9% of total)

ival-exp: 3.0ms (10.4% of total)

ival-mult: 2.0ms (7% of total)

adjust: 1.0ms (3.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory

18.3MiB live, 89.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-2.5872315382672193e+212	-9.349957778597817e+205

Samples

19.0ms	47×	1	valid
8.0ms	97×	0	valid
7.0ms	99×	0	invalid

Compiler

Compiled 262 to 178 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log: 8.0ms (30.7% of total)

ival-mult: 5.0ms (19.2% of total)

adjust: 4.0ms (15.3% of total)

ival-div: 4.0ms (15.3% of total)

ival-add: 3.0ms (11.5% of total)

ival-exp: 2.0ms (7.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory

-31.3MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	137
1	50	137
2	52	137
3	53	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -210000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 1010998000018149/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 z #s(literal -94999999999999996566076402318716871847369752923736717521917720331431838044927342707308518563925399902471369612951340472656903372097704260620216321711083621066929544883526427223596454329359164403865203245056 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Outputs
(if (<=.f64 y #s(literal -210000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 1010998000018149/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 z #s(literal -94999999999999996566076402318716871847369752923736717521917720331431838044927342707308518563925399902471369612951340472656903372097704260620216321711083621066929544883526427223596454329359164403865203245056 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

soundness419.0ms (4.1%)

Memory

-2.7MiB live, 402.3MiB allocated

Rules

13 476×	`lower-fma.f64`
13 476×	`lower-fma.f32`
10 548×	`lower-fma.f64`
10 548×	`lower-fma.f32`
6 194×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	3809
1	1535	3201
2	5319	2873
0	8124	2727
0	484	13170
1	1457	11291
2	5054	10088
0	8309	9568

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 127 to 70 computations (44.9% saved)

preprocess107.0ms (1%)

Memory: 31.1MiB live, 148.2MiB allocated
Compiler: Compiled 228 to 110 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze463.0ms (4.5%)

sample2.3s (22.1%)

explain327.0ms (3.2%)

preprocess230.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize137.0ms (1.3%)

series34.0ms (0.3%)

simplify274.0ms (2.7%)

rewrite243.0ms (2.4%)

eval148.0ms (1.4%)

prune96.0ms (0.9%)

simplify493.0ms (4.8%)

localize169.0ms (1.6%)

series29.0ms (0.3%)

simplify332.0ms (3.2%)

rewrite306.0ms (3%)

eval96.0ms (0.9%)

prune104.0ms (1%)

simplify319.0ms (3.1%)

localize311.0ms (3%)

series60.0ms (0.6%)

simplify392.0ms (3.8%)

rewrite322.0ms (3.1%)

eval183.0ms (1.8%)

prune147.0ms (1.4%)

simplify417.0ms (4%)

localize456.0ms (4.4%)

series63.0ms (0.6%)

simplify410.0ms (4%)

rewrite345.0ms (3.3%)

eval205.0ms (2%)

prune123.0ms (1.2%)

regimes73.0ms (0.7%)

regimes69.0ms (0.7%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch64.0ms (0.6%)

bsearch44.0ms (0.4%)

simplify11.0ms (0.1%)

soundness419.0ms (4.1%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling