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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze212.0ms (2%)

Memory

-36.5MiB live, 365.3MiB 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 (21.8%)

Memory

18.5MiB live, 2 313.4MiB allocated

Samples

1.1s	2 217×	1	valid
709.0ms	6 039×	0	valid
94.0ms	966×	0	invalid
3.0ms	26×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 776.0ms (52.4% of total)

ival-div: 224.0ms (15.1% of total)

ival-add: 176.0ms (11.9% of total)

ival-exp: 125.0ms (8.4% of total)

ival-mult: 122.0ms (8.2% of total)

adjust: 49.0ms (3.3% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

explain286.0ms (2.7%)

Memory

-5.9MiB live, 347.9MiB 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

92.0ms	256×	1	valid
50.0ms	50×	2	valid
21.0ms	206×	0	valid

Compiler

Compiled 136 to 34 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-log: 49.0ms (35.9% of total)

ival-div: 37.0ms (27.1% of total)

ival-add: 27.0ms (19.8% of total)

ival-exp: 8.0ms (5.9% of total)

adjust: 7.0ms (5.1% of total)

ival-mult: 7.0ms (5.1% of total)

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

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

preprocess229.0ms (2.2%)

Memory

5.7MiB live, 42.7MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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

6.5MiB live, 6.5MiB 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

localize113.0ms (1.1%)

Memory

-10.5MiB live, 186.5MiB 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

40.0ms	128×	1	valid
34.0ms	103×	0	valid
17.0ms	25×	2	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 28.0ms (53.9% of total)

ival-add: 7.0ms (13.5% of total)

ival-div: 6.0ms (11.5% of total)

ival-exp: 4.0ms (7.7% of total)

adjust: 3.0ms (5.8% of total)

ival-mult: 3.0ms (5.8% of total)

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

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

series39.0ms (0.4%)

Memory

8.4MiB live, 55.3MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())
#s(alt (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (log y) (log (/ 1 z))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 z)) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 z)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* y (+ (log y) (log (/ 1 z))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (taylor -inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) (taylor -inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor inf z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) (taylor -inf z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(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)))) (taylor -inf z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
2.0ms	y	@	inf	(exp (* y (log (/ y (+ z y)))))
2.0ms	y	@	inf	(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms	y	@	-inf	(exp (* y (log (/ y (+ z y)))))
2.0ms	z	@	inf	(exp (* y (log (/ y (+ z y)))))

simplify310.0ms (2.9%)

Memory

27.8MiB live, 487.5MiB 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	3805
1	1535	3197
2	5307	2873
0	8112	2727

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

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

rewrite251.0ms (2.4%)

Memory

-4.3MiB live, 362.7MiB 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))
(pow.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(.f64 (exp.f64 (.f64 y (log.f64 y))) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 y z)))))
(.f64 (exp.f64 (.f64 y (log.f64 y))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))))
(.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (exp.f64 (.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y) (pow.f64 y y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y))
(.f64 (pow.f64 (/.f64 y (fma.f64 y (.f64 y y) (.f64 z (.f64 z z)))) y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) y))
(.f64 (pow.f64 (/.f64 y (.f64 (+.f64 y z) (-.f64 z y))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 y y)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) x)
(fma.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (/.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) y) x)
(fma.f64 (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 (.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (.f64 y (.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) (exp.f64 (.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 y (neg.f64 y))))) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (.f64 y y)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y #s(literal 3 binary64))) (.f64 y (.f64 y y))))) (fma.f64 x x (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y #s(literal 3 binary64))) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) y)))))
(neg.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y (neg.f64 y)))) (+.f64 (neg.f64 x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y #s(literal 3 binary64))) (.f64 y (.f64 y y))))) (fma.f64 x x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) y))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y #s(literal 3 binary64))) (.f64 y (.f64 y y)))) (fma.f64 x x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 y y)) (.f64 x x))))
(/.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y (neg.f64 y)))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y #s(literal 3 binary64))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) y))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (.f64 y y))) (+.f64 (neg.f64 x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
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(/.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)))))

eval56.0ms (0.5%)

Memory: -16.4MiB live, 142.8MiB allocated
Compiler: Compiled 11 037 to 1 685 computations (84.7% saved)

prune111.0ms (1.1%)

Memory

-11.9MiB live, 109.7MiB 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 (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 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)

simplify282.0ms (2.7%)

Memory

7.1MiB live, 118.6MiB 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)

localize187.0ms (1.8%)

Memory

-33.2MiB live, 192.7MiB 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

90.0ms	128×	1	valid
17.0ms	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: 98.0ms

ival-add: 31.0ms (31.5% of total)

ival-log: 24.0ms (24.4% of total)

ival-div: 21.0ms (21.4% of total)

adjust: 8.0ms (8.1% of total)

ival-mult: 7.0ms (7.1% of total)

ival-exp: 5.0ms (5.1% of total)

ival-sub: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

18.8MiB live, 56.4MiB allocated

Counts

19 → 480

Calls

Call 1

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

Outputs
#s(alt (/ (pow (/ y (+ y z)) y) y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ z y)) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 z) 1) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 z) 1) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1)
0.0ms	y	@	0	(+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1)
0.0ms	z	@	-inf	(+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1)
0.0ms	z	@	inf	(+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1)
0.0ms	z	@	inf	(+ (* z (+ 1/2 (/ 1/2 y))) -1)

simplify369.0ms (3.5%)

Memory

14.5MiB live, 485.7MiB 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	13175
1	1457	11287
2	5036	10088
0	8295	9568

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 460

Calls

Call 1

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

Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
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(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
x
(* -1 (* 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 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 y z)) 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 y z)) y) (.f64 y x))) (neg.f64 x))
(/ 1 y)
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(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
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(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
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x
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x
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(+.f64 x (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* -1 z))
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(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
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(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y))))
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(.f64 (.f64 z z) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z))))
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-1
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(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
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(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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
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(/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)
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(/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)
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(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 (+.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)
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rewrite576.0ms (5.4%)

Memory

13.2MiB live, 322.8MiB 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)))
(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))
(neg.f64 z)
(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))

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

eval175.0ms (1.7%)

Memory: -8.8MiB live, 177.2MiB allocated
Compiler: Compiled 21 429 to 1 560 computations (92.7% saved)

prune115.0ms (1.1%)

Memory

5.5MiB live, 213.4MiB 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 (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 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 z) (/.f64 #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)

simplify484.0ms (4.6%)

Memory

-186.6MiB live, 373.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.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 (fma.f64 (neg.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)))) (+.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 (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
cost-diff	640	(fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 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

12 756×	`lower-fma.f32`
12 742×	`lower-fma.f64`
3 114×	`lower-+.f32`
3 094×	`lower-+.f64`
2 944×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	747
0	99	735
1	195	705
2	467	705
3	1319	705
4	4038	705
5	7949	705
0	8002	666

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 (fma.f64 (neg.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)))) (+.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 (fma.f64 (neg.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)))) (+.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 (fma.f64 (neg.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)))) (+.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 (fma.f64 (neg.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)))) (+.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 (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(neg.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))))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
#s(literal -1 binary64)
#s(literal 1 binary64)

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

localize247.0ms (2.3%)

Memory

0.8MiB live, 385.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.928942812616518	(fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.6887138215886783	(fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
accuracy	2.768215245668946	(fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 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 (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 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

112.0ms	120×	1	valid
59.0ms	136×	0	valid

Compiler

Compiled 452 to 48 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 28.0ms (23.3% of total)

ival-add: 27.0ms (22.5% of total)

ival-log: 20.0ms (16.7% of total)

ival-div: 13.0ms (10.8% of total)

adjust: 12.0ms (10% of total)

const: 8.0ms (6.7% of total)

ival-sub: 6.0ms (5% of total)

ival-exp: 4.0ms (3.3% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory

7.8MiB live, 122.1MiB allocated

Counts

28 → 684

Calls

Call 1

Inputs
#s(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)) (patch (+.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)) #<representation binary64>) () ())
#s(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) (patch (/.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) #<representation binary64>) () ())
#s(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))) (patch #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))) #<representation binary64>) () ())
#s(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)) (patch (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)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())
#s(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)) (patch (+.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)) #<representation binary64>) () ())
#s(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) (patch (/.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) #<representation binary64>) () ())
#s(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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))) (patch (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(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))))) (patch (+.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))))) #<representation binary64>) () ())
#s(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)) (patch (+.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)) #<representation binary64>) () ())
#s(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) (patch (/.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) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) #<representation binary64>) () ())
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#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())
#s(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))) (patch #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))) #<representation binary64>) () ())
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Outputs
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#s(alt x (taylor -inf x) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) (taylor 0 y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) (taylor 0 y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (exp (* -1 z)) y)) (taylor inf y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) (taylor inf y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (exp (* -1 z)) y)) (taylor -inf y) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(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)))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(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)))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (fma.f64 z (fma.f64 (neg.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

171 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(+ (* y (+ (* z 1/2) -1)) (* z 1/2))
3.0ms	y	@	-inf	(/ (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) y)
1.0ms	z	@	0	(+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))
1.0ms	z	@	-inf	(+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))
1.0ms	z	@	inf	(/ (- 1 (* z (* z z))) (+ 1 (+ (* z z) z)))

simplify429.0ms (4%)

Memory

-5.7MiB live, 487.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 080×	`lower-fma.f64`
12 080×	`lower-fma.f32`
6 724×	`lower-*.f64`
6 724×	`lower-*.f32`
4 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	17430
1	1923	15217
2	6695	15064
0	8015	14243

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 663

Calls

Call 1

Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) 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)))
(/ 1 y)
(/ (+ 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)
x
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 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)))))
x
(+ x (/ (exp (* -1 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))
(+ x (/ 1 y))
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(+ 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)))
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(+ 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)))
(/ 1 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)) (+ (* 1/48 (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)
(/ (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))
(* -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))
(/ 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))
(/ (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))
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(/ (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))
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1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
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(exp (* -1 z))
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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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(exp (* -1 z))
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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 (* -1 z))
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(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(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))))
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1
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(/ 1 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
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(* y (* z (- (* 1/2 z) 1)))
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 (* z (- (* 1/2 z) 1))) (* -1/2 (/ (pow z 2) y)))))
-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
1
(+ 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 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(+ 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))))
(+ 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))))

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

rewrite310.0ms (2.9%)

Memory

19.7MiB live, 398.0MiB allocated

Rules

4 220×	`lower-*.f32`
4 210×	`lower-*.f64`
3 944×	`lower-fma.f32`
3 930×	`lower-fma.f64`
3 126×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	625
0	99	606
1	491	549
2	4587	549
0	8501	527

Stop Event

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

Counts

28 → 469

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

eval223.0ms (2.1%)

Memory: 14.8MiB live, 333.8MiB allocated
Compiler: Compiled 37 403 to 2 633 computations (93% saved)

prune234.0ms (2.2%)

Memory

4.8MiB live, 315.8MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 142	9	1 151
Fresh	5	2	7
Picked	3	2	5
Done	0	4	4
Total	1 150	17	1 167

Accuracy

100.0%

Counts

1 167 → 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))
▶	68.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	29.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 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))
	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 #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))
✓	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))
▶	40.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z 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 #s(literal 1/2 binary64) (.f64 z z)) 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 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #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))
✓	38.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 685 to 339 computations (50.5% saved)

simplify414.0ms (3.9%)

Memory

-3.4MiB live, 474.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 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 #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 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 #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 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 #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 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 (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z))))))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z)))))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z)))))) y))
cost-diff	256	(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z))))
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 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) 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 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #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 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #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 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) y))) y))
cost-diff	0	(fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (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 (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (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 (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (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 (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (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

20 162×	`lower-fma.f32`
20 144×	`lower-fma.f64`
3 422×	`lower-+.f32`
3 408×	`lower-+.f64`
2 626×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1390
0	133	1376
1	283	1306
2	713	1294
3	2098	1289
4	5339	1273
5	7448	1273
0	8054	1221

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

localize389.0ms (3.7%)

Memory

-15.6MiB live, 466.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.928942812616518	(fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.6887138215886783	(fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 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 #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	27.780408607264313	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))
accuracy	0.4705869506355738	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	5.9467008217788795	(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z))))
accuracy	27.351422088139742	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z))))))
accuracy	29.990114858802873	#s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (neg.f64 (.f64 z (.f64 z z)))))
accuracy	0.08984375	(.f64 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
accuracy	5.456662688481428	(/.f64 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #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 #s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) y)))
accuracy	30.17574063847222	#s(approx (+ y (* z (+ (* y (+ (* z 1/2) -1)) (* z 1/2)))) (.f64 z (.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
accuracy	0.928942812616518	(fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.6887138215886783	(fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
accuracy	23.510065502945334	#s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
accuracy	27.351422088139742	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (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

189.0ms	120×	1	valid
70.0ms	136×	0	valid

Compiler

Compiled 622 to 66 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-add: 58.0ms (26.9% of total)

ival-mult: 47.0ms (21.8% of total)

adjust: 44.0ms (20.4% of total)

ival-log: 20.0ms (9.3% of total)

ival-div: 19.0ms (8.8% of total)

const: 14.0ms (6.5% of total)

ival-sub: 8.0ms (3.7% of total)

ival-exp: 4.0ms (1.9% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series89.0ms (0.8%)

Memory

28.2MiB live, 186.3MiB allocated

Counts

32 → 816

Calls

Call 1

Inputs
#s(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)) (patch (+.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)) #<representation binary64>) () ())
#s(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) (patch (/.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) #<representation binary64>) () ())
#s(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))) (patch #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))) #<representation binary64>) () ())
#s(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)) (patch #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)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (taylor -inf z) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) (taylor -inf z) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z)))) (taylor -inf z) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow z 2) (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* z (+ 1/2 (* -1/6 z))) 1) (taylor inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) (taylor inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) (taylor inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) (taylor inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* z (+ 1/2 (* -1/6 z))) 1) (taylor -inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) (taylor -inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) (taylor -inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) (taylor -inf y) (#s(alt (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

204 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))
1.0ms	z	@	0	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))
1.0ms	z	@	0	(* (+ (/ 1/3 (* y y)) (+ (/ 1/2 y) 1/6)) (neg (* z (* z z))))
1.0ms	z	@	inf	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))
1.0ms	z	@	-inf	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))

simplify446.0ms (4.2%)

Memory

22.4MiB live, 564.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 838×	`lower-fma.f64`
9 838×	`lower-fma.f32`
5 524×	`lower-*.f64`
5 524×	`lower-*.f32`
4 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	20437
1	2026	18157
2	7003	17748
0	8181	16639

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 793

Calls

Call 1

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

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

rewrite381.0ms (3.6%)

Memory

-19.2MiB live, 651.5MiB allocated

Rules

6 014×	`lower-fma.f32`
5 996×	`lower-fma.f64`
5 574×	`lower-*.f32`
5 558×	`lower-*.f64`
2 638×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1229
0	133	1219
1	655	1150
2	6188	1150
0	9042	1082

Stop Event

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

Counts

32 → 455

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

eval209.0ms (2%)

Memory: 19.3MiB live, 463.0MiB allocated
Compiler: Compiled 40 463 to 2 303 computations (94.3% saved)

prune248.0ms (2.3%)

Memory

-3.2MiB live, 275.3MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1 238	10	1 248
Fresh	3	3	6
Picked	4	1	5
Done	0	6	6
Total	1 245	20	1 265

Accuracy

100.0%

Counts

1 265 → 20

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))
	68.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (.f64 z z) #s(approx (+ ( (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 z) #s(literal 1 binary64)))) y))
✓	68.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	28.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) #s(approx (/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y)) (.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 z (.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))
	61.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (fma.f64 (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(approx (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y))) (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))
	40.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) (.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)))))) y))
	30.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) #s(approx (* (+ (/ 1/3 (* y y)) (+ (/ 1/2 y) 1/6)) (neg (* z (* z z)))) (/.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 (+ (* (neg z) (+ (/ 1/2 y) (+ 1/6 (/ 1/3 (* y y))))) (+ 1/2 (/ 1/2 y)))) -1)) 1) #s(approx (* (+ (/ 1/3 (* y y)) (+ (/ 1/2 y) 1/6)) (neg (* z (* z z)))) (.f64 z (.f64 (*.f64 z z) #s(literal -1/6 binary64)))))) 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 (* z (* z (+ (* y 1/2) 1/2))) (.f64 y (.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))
✓	38.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 1 190 to 423 computations (64.5% saved)

regimes62.0ms (0.6%)

Memory

2.3MiB live, 113.1MiB allocated

Counts

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

13.0ms	z
13.0ms	x
13.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
11.0ms	y
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)

regimes57.0ms (0.5%)

Memory

-19.9MiB live, 80.8MiB allocated

Counts

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

14.0ms	y
11.0ms	z
10.0ms	x
10.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
10.0ms	(/.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

14.6MiB live, 14.6MiB 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	z
2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
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)

regimes8.0ms (0.1%)

Memory

-21.9MiB live, 16.7MiB 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:

2.0ms	(/.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	y
1.0ms	x
1.0ms	z

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)

bsearch56.0ms (0.5%)

Memory

8.8MiB live, 87.6MiB 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
30.0ms	-3.6334237279296434e+22	-206646825224538080.0

Samples

18.0ms	217×	0	valid
13.0ms	55×	1	valid
9.0ms	90×	0	invalid

Compiler

Compiled 393 to 271 computations (31% saved)

Precisions

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

ival-log: 9.0ms (31% of total)

ival-div: 6.0ms (20.7% of total)

ival-add: 6.0ms (20.7% of total)

ival-exp: 4.0ms (13.8% of total)

ival-mult: 3.0ms (10.3% of total)

adjust: 1.0ms (3.4% of total)

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

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

bsearch40.0ms (0.4%)

Memory

13.6MiB live, 51.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-2.5872315382672193e+212	-9.349957778597817e+205

Samples

14.0ms	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: 21.0ms

ival-log: 9.0ms (42.3% of total)

ival-div: 4.0ms (18.8% of total)

ival-add: 3.0ms (14.1% of total)

ival-exp: 2.0ms (9.4% of total)

ival-mult: 2.0ms (9.4% of total)

adjust: 1.0ms (4.7% of total)

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

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

simplify7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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))

soundness408.0ms (3.9%)

Memory

-19.4MiB live, 288.6MiB 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	3805
1	1535	3197
2	5307	2873
0	8112	2727
0	484	13175
1	1457	11287
2	5036	10088
0	8295	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)

preprocess119.0ms (1.1%)

Memory: -5.2MiB live, 165.6MiB allocated
Compiler: Compiled 228 to 110 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze212.0ms (2%)

sample2.3s (21.8%)

explain286.0ms (2.7%)

preprocess229.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize113.0ms (1.1%)

series39.0ms (0.4%)

simplify310.0ms (2.9%)

rewrite251.0ms (2.4%)

eval56.0ms (0.5%)

prune111.0ms (1.1%)

simplify282.0ms (2.7%)

localize187.0ms (1.8%)

series33.0ms (0.3%)

simplify369.0ms (3.5%)

rewrite576.0ms (5.4%)

eval175.0ms (1.7%)

prune115.0ms (1.1%)

simplify484.0ms (4.6%)

localize247.0ms (2.3%)

series72.0ms (0.7%)

simplify429.0ms (4%)

rewrite310.0ms (2.9%)

eval223.0ms (2.1%)

prune234.0ms (2.2%)

simplify414.0ms (3.9%)

localize389.0ms (3.7%)

series89.0ms (0.8%)

simplify446.0ms (4.2%)

rewrite381.0ms (3.6%)

eval209.0ms (2%)

prune248.0ms (2.3%)

regimes62.0ms (0.6%)

regimes57.0ms (0.5%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch56.0ms (0.5%)

bsearch40.0ms (0.4%)

simplify7.0ms (0.1%)

soundness408.0ms (3.9%)

preprocess119.0ms (1.1%)

end0.0ms (0%)

Profiling