Metrics for SynthBasics:moogVCF from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze88.0ms (0.7%)

Memory

18.7MiB live, 63.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
50%	49.9%	49.9%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
75%	74.9%	25%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	11
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.7s (14.1%)

Memory

-15.8MiB live, 1 537.2MiB allocated

Samples

1.2s	8 027×	0	valid
80.0ms	229×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 759.0ms

ival-mult: 405.0ms (53.3% of total)

ival-div: 139.0ms (18.3% of total)

ival-tanh: 118.0ms (15.5% of total)

ival-add: 43.0ms (5.7% of total)

ival-sub: 39.0ms (5.1% of total)

ival-true: 6.0ms (0.8% of total)

adjust: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain174.0ms (1.5%)

Memory

8.7MiB live, 261.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
17	1	(-1.2681050045592582e-151 1.3645445811647623e-280 -1.8042926439755263e-44 6.469600628447247e-215)	1	(2.633518825293588e-45 -1.0215862444127773e+274 -5.5355380419537444e-241 4.775574817130868e-42)	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`
0	0	-	0	-	`(/.f64 x y)`
0	0	-	0	-	`(/.f64 t y)`
0	0	-	0	-	`t`
0	0	-	0	-	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
0	0	-	0	-	`(tanh.f64 (/.f64 x y))`
0	0	-	0	-	`z`
0	0	-	0	-	`(tanh.f64 (/.f64 t y))`
0	0	-	0	-	`y`
0	0	-	0	-	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`
0	0	-	0	-	`(*.f64 y z)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*no**	13	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	2	0
↳	`(*.f64 y z)`	overflow	33
↳	`(/.f64 t y)`	underflow	29
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	43
↳	`(tanh.f64 (/.f64 x y))`	underflow	26
↳	`(/.f64 x y)`	underflow	26
↳	`(tanh.f64 (/.f64 t y))`	underflow	29
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	16	0
-	0	240

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	0	0	240

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	436×	0	valid
16.0ms	64×	2	valid
2.0ms	12×	1	valid

Compiler

Compiled 139 to 40 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 24.0ms (42.7% of total)

ival-div: 10.0ms (17.8% of total)

ival-mult: 10.0ms (17.8% of total)

ival-tanh: 6.0ms (10.7% of total)

ival-sub: 3.0ms (5.3% of total)

adjust: 2.0ms (3.6% of total)

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

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

preprocess194.0ms (1.6%)

Memory

9.8MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 492×	`lower-fma.f64`
12 492×	`lower-fma.f32`
3 782×	`lower-*.f32`
3 778×	`lower-*.f64`
2 164×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	226
1	399	224
2	1184	210
3	4721	210
0	12	15
0	20	15
1	62	15
2	165	15
3	427	15
4	1658	15
5	6383	15
0	8408	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Outputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)

Symmetry

(abs y)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify164.0ms (1.4%)

Memory

12.9MiB live, 202.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Rules

12 492×	`lower-fma.f64`
12 492×	`lower-fma.f32`
3 782×	`lower-*.f32`
3 778×	`lower-*.f64`
2 164×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	20	58
1	62	58
2	165	58
3	427	58
4	1658	58
5	6383	58
0	8408	57

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)

Outputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
x
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)

localize248.0ms (2.1%)

Memory

-23.4MiB live, 66.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(tanh.f64 (/.f64 t y))
accuracy	0.01171875	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	0.01171875	(tanh.f64 (/.f64 x y))
accuracy	3.9528819226554828	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

228.0ms	218×	0	valid
8.0ms	32×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

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

ival-div: 5.0ms (29.7% of total)

ival-mult: 4.0ms (23.8% of total)

ival-tanh: 3.0ms (17.8% of total)

ival-add: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

adjust: 1.0ms (5.9% of total)

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

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

series333.0ms (2.8%)

Memory

-7.6MiB live, 106.7MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())

Outputs
#s(alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- t x))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor inf y) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) (taylor inf y) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
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Calls

51 calls:

Time	Variable		Point	Expression
138.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
125.0ms	y	@	0	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms	t	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	t	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify441.0ms (3.8%)

Memory

5.8MiB live, 276.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 264×	`lower-fma.f64`
13 264×	`lower-fma.f32`
4 518×	`lower-*.f64`
4 518×	`lower-*.f32`
4 012×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	10076
1	1678	7475
2	6945	7471
0	8227	7285

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

Calls

Call 1

Inputs
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
x
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* z (- t x)))
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))
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(+ x (* -1 (* z (- (* -1 t) (* -1 x)))))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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(* z (- t x))
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(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
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(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 t (/.f64 t (pow.f64 y #s(literal 7 binary64)))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 t t) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) y))) (.f64 t t) (/.f64 #s(literal 1 binary64) y)) t)
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(/ t y)
(/.f64 t y)
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) t) y)
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64)) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (.f64 (.f64 t t) (/.f64 t (*.f64 y y)))) t) y)
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64)) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (fma.f64 (neg.f64 t) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 t t) t)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 t t))) (.f64 t t) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (.f64 t t) t) t)))) (.f64 (.f64 y y) y))) (-.f64 t (fma.f64 (.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 t t) t) #s(literal 1/2 binary64))) t) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 t t) (/.f64 t (.f64 y y))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)))))) y)
(/ t y)
(/.f64 t y)
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) (neg.f64 y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64)) (.f64 y y)) #s(literal 1 binary64) (neg.f64 t)) (neg.f64 y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 t t) t) t) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 (.f64 (.f64 t t) t) t) (.f64 (.f64 (.f64 (.f64 t t) t) t) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 t t) t) #s(literal 1/2 binary64))) t) #s(literal 1/2 binary64) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) (neg.f64 y)) t) (neg.f64 y))

rewrite196.0ms (1.7%)

Memory

-20.4MiB live, 312.0MiB allocated

Rules

5 094×	`lower-*.f32`
5 090×	`lower-*.f64`
4 102×	`lower-/.f32`
4 098×	`lower-/.f64`
2 936×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	20	48
1	99	48
2	871	48
0	8208	47

Stop Event

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

Counts

6 → 312

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(tanh.f64 (/.f64 t y))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) (neg.f64 x)) (.f64 x x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (.f64 (neg.f64 (.f64 x (*.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) (neg.f64 x)) (.f64 x x))))
(.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))) (.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)))) (.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (.f64 (neg.f64 (.f64 x (.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) (neg.f64 x)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (.f64 (neg.f64 (.f64 x (.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
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(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))
(+.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(tanh.f64 (/.f64 t y))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 (neg.f64 t) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))))
(fma.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))

eval97.0ms (0.8%)

Memory: 25.3MiB live, 144.3MiB allocated
Compiler: Compiled 22 911 to 1 945 computations (91.5% saved)

prune78.0ms (0.7%)

Memory

-12.6MiB live, 186.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	502	10	512
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	10	513

Accuracy

100.0%

Counts

513 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
▶	98.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	44.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
	63.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
▶	64.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	45.9%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
▶	22.8%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
	21.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
▶	60.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	25.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 t t)) (/.f64 z (.f64 y y)) z) t x)))

Compiler

Compiled 556 to 302 computations (45.7% saved)

simplify174.0ms (1.5%)

Memory

-12.5MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
cost-diff	320	(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))
cost-diff	0	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
cost-diff	192	(fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))
cost-diff	384	(fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y)))
cost-diff	384	(/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)
cost-diff	1344	(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)))
cost-diff	0	(-.f64 t x)
cost-diff	0	(fma.f64 (-.f64 t x) z x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
cost-diff	0	(tanh.f64 (/.f64 t y))
cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
cost-diff	0	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)

Rules

9 846×	`lower-fma.f32`
9 836×	`lower-fma.f64`
4 784×	`lower-*.f32`
4 752×	`lower-*.f64`
2 364×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	685
0	108	680
1	220	594
2	508	541
3	1455	531
4	4764	508
0	8117	500

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
(neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))
(fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))
(+.f64 (neg.f64 t) x)
(neg.f64 t)
t
z
(/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)
(fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y)))
#s(literal 0 binary64)
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (*.f64 t t) t) #s(literal 1/3 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
(.f64 (.f64 (*.f64 t t) t) #s(literal 1/3 binary64))
(.f64 (.f64 t t) t)
(*.f64 t t)
#s(literal 1/3 binary64)
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
(/.f64 z y)
y
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
x
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(.f64 x (/.f64 x (.f64 (*.f64 y y) y)))
(/.f64 x (.f64 (.f64 y y) y))
(.f64 (.f64 y y) y)
(*.f64 y y)
(/.f64 x y)

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (.f64 z (-.f64 (-.f64 t x) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (.f64 x x) x))) (*.f64 y y))))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (.f64 z (-.f64 (-.f64 t x) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (.f64 x x) x))) (*.f64 y y)))))
(neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))
(.f64 z (-.f64 (-.f64 t x) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (.f64 x x) x))) (*.f64 y y))))
(fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (.f64 x x) x))) (*.f64 y y)) (-.f64 t x)))
(+.f64 (neg.f64 t) x)
(-.f64 x t)
(neg.f64 t)
t
z
(/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)
(.f64 (/.f64 z (.f64 y y)) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y)))
(.f64 (/.f64 z y) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (.f64 x x) x))))
#s(literal 0 binary64)
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))
(.f64 (/.f64 z y) (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (.f64 x x) x))))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)))
(.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 t t) t) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (*.f64 t t) t) #s(literal 1/3 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 t t) t)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(.f64 (.f64 (*.f64 t t) t) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 t t) t))
(.f64 (.f64 t t) t)
(*.f64 t t)
#s(literal 1/3 binary64)
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
(/.f64 z y)
y
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
x
(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 (fma.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) (.f64 z y) x)
x
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))))
(.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 (fma.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 (fma.f64 (.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y))))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))
#s(approx (tanh (/ x y)) (.f64 (fma.f64 (.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))
(.f64 (fma.f64 (.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(.f64 x (/.f64 x (.f64 (*.f64 y y) y)))
(.f64 (/.f64 x (.f64 (*.f64 y y) y)) x)
(/.f64 x (.f64 (.f64 y y) y))
(.f64 (.f64 y y) y)
(*.f64 y y)
(/.f64 x y)

localize281.0ms (2.4%)

Memory

51.4MiB live, 270.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.371136560729819	(.f64 x (/.f64 x (.f64 (*.f64 y y) y)))
accuracy	5.919907234956825	(/.f64 x (.f64 (.f64 y y) y))
accuracy	9.355429181562732	(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))
accuracy	30.915469641152065	#s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))
accuracy	0.01171875	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	0.01171875	(tanh.f64 (/.f64 x y))
accuracy	3.9528819226554828	(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
accuracy	31.215617094863354	#s(approx (tanh (/ t y)) (/.f64 t y))
accuracy	4.341306072750451	(/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)
accuracy	10.124751826655725	(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))
accuracy	20.667869669849882	(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)))
accuracy	42.10508731856283	#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
accuracy	0	(fma.f64 (-.f64 t x) z x)
accuracy	0	(-.f64 t x)
accuracy	25.58060264491775	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy	0.0078125	(tanh.f64 (/.f64 t y))
accuracy	0.01171875	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	0.01171875	(tanh.f64 (/.f64 x y))
accuracy	1.5694729874156887	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Samples

148.0ms	218×	0	valid
29.0ms	32×	2	valid
4.0ms	6×	1	valid

Compiler

Compiled 534 to 52 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 68.0ms (48.6% of total)

ival-div: 35.0ms (25% of total)

const: 10.0ms (7.2% of total)

ival-add: 10.0ms (7.2% of total)

adjust: 5.0ms (3.6% of total)

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

ival-tanh: 3.0ms (2.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series154.0ms (1.3%)

Memory

-12.2MiB live, 190.9MiB allocated

Counts

25 → 912

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (patch (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) (patch (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) y)) (patch (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)) (patch (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx ( (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y)) (patch (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())

Outputs
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor -inf t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- t x))) (taylor inf y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) (taylor inf y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) (taylor inf y) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
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#s(alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor 0 y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 3)) (taylor -inf y) (#s(alt (/.f64 x (.f64 (.f64 y y) y)) (patch (/.f64 x (.f64 (.f64 y y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor 0 y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf y) (#s(alt (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (patch (.f64 x (/.f64 x (.f64 (.f64 y y) y))) #<representation binary64>) () ())) ())

Calls

228 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	(+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)))
9.0ms	z	@	inf	(/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)
6.0ms	y	@	inf	(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
2.0ms	z	@	0	(/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)
2.0ms	z	@	inf	(+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))

simplify291.0ms (2.5%)

Memory

26.9MiB live, 528.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 166×	`lower-fma.f64`
14 166×	`lower-fma.f32`
5 686×	`lower-+.f64`
5 686×	`lower-+.f32`
5 426×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	794	37471
1	2662	28543
0	9097	27728

Stop Event

1×	iter limit
1×	node limit

Counts

912 → 892

Calls

Call 1

Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* z (- t x)))
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(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/ x y)
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ x (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))
(/ (pow x 2) (pow y 3))

Outputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (* z (- t x)))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) x)
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))
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(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) y))) (.f64 x x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ x y)
(/.f64 x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) x) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y))))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 0 binary64) y)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/12 binary64)))) (.f64 (.f64 y y) y))) (-.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))) (.f64 (.f64 y y) y)) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 (*.f64 y y) y)))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/12 binary64))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64) #s(literal 0 binary64))) (neg.f64 y)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ x (pow y 3))
(/.f64 x (.f64 (.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/ (pow x 2) (pow y 3))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))

rewrite243.0ms (2.1%)

Memory

-40.8MiB live, 367.9MiB allocated

Rules

4 216×	`lower-*.f32`
4 184×	`lower-*.f64`
3 900×	`lower-/.f32`
3 890×	`lower-/.f64`
3 604×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	445
0	106	400
1	421	388
2	3485	388
0	8922	374

Stop Event

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

Counts

25 → 712

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)))
(/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)
(fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y)))
(fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))))
(tanh.f64 (/.f64 x y))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))
#s(approx (tanh (/ t y)) (/.f64 t y))
#s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y)))
(/.f64 x (.f64 (.f64 y y) y))
(.f64 x (/.f64 x (.f64 (*.f64 y y) y)))

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (.f64 x x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 x x) (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))))
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(fma.f64 (pow.f64 (.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) z)) (.f64 y y)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64)) (/.f64 z y) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y)))
(fma.f64 #s(literal 0 binary64) z (.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))))))
(fma.f64 (/.f64 z y) (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64)) (.f64 (/.f64 z y) (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x)))))
(fma.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 t t) t)))) #s(literal 0 binary64))
(fma.f64 (/.f64 z y) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))) (.f64 (/.f64 z y) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 t t) t)))) (/.f64 z y) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))) (/.f64 z y) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x)) (/.f64 z y)))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))))) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))))))) (neg.f64 (.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64)) (/.f64 z y)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x))) (/.f64 z y)))
(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))) (/.f64 z y)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (/.f64 z y)))
(+.f64 (.f64 (/.f64 z y) (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))) (.f64 (/.f64 z y) (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)))))
(+.f64 (.f64 (/.f64 z y) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 (/.f64 z y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x))))
(+.f64 #s(literal 0 binary64) (.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))))))
(+.f64 (.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t))))) #s(literal 0 binary64))
#s(approx (tanh (/ t y)) (/.f64 t y))
#s(approx (tanh (/ x y)) (.f64 x (fma.f64 (.f64 (/.f64 x (.f64 (.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x y))
(.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y)) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 y y))))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 (*.f64 y y) y)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) y)))
(pow.f64 (/.f64 y (/.f64 x (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 y y) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 y y) y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 y y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (.f64 (neg.f64 y) (.f64 y y))))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 y y) y))
(/.f64 (/.f64 x (*.f64 y y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 y y) y) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 y y) y) x)))
(/.f64 (neg.f64 x) (.f64 (neg.f64 y) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 y y) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 x y) (*.f64 y y))
(/.f64 x (.f64 (.f64 y y) y))
(neg.f64 (/.f64 (neg.f64 x) (.f64 (.f64 y y) y)))
(neg.f64 (/.f64 x (.f64 (neg.f64 y) (.f64 y y))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (*.f64 y y) y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (.f64 y y)) (/.f64 x y))
(.f64 (/.f64 x (.f64 (*.f64 y y) y)) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)))
(.f64 (/.f64 x y) (/.f64 x (.f64 y y)))
(.f64 x (/.f64 x (.f64 (*.f64 y y) y)))
(pow.f64 (/.f64 (.f64 (.f64 y y) y) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 x x) y)) (neg.f64 (.f64 y y)))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 y y)) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x (/.f64 x (.f64 y y)))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (.f64 (neg.f64 y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) x)) (neg.f64 (.f64 (neg.f64 y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (.f64 (*.f64 y y) y) x)))
(/.f64 (neg.f64 (.f64 x (neg.f64 x))) (neg.f64 (.f64 (neg.f64 y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (*.f64 y y) y) x)))
(/.f64 (/.f64 (.f64 x x) y) (.f64 y y))
(/.f64 (.f64 (/.f64 x (.f64 y y)) x) y)
(/.f64 (.f64 x (/.f64 x (.f64 y y))) y)
(/.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (*.f64 y y) y) x))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 y y) y) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (*.f64 x x))))
(/.f64 (/.f64 (.f64 x x) (.f64 y y)) y)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (.f64 (.f64 y y) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (*.f64 x x)))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) y))
(/.f64 x (/.f64 (.f64 (.f64 y y) y) x))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 3 binary64))))

eval291.0ms (2.5%)

Memory: 24.7MiB live, 444.8MiB allocated
Compiler: Compiled 79 722 to 4 565 computations (94.3% saved)

prune318.0ms (2.7%)

Memory

8.0MiB live, 298.5MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 708	20	1 728
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	1 714	24	1 738

Accuracy

100.0%

Counts

1 738 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
	64.6%	(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
✓	98.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	68.3%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
	48.7%	(fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 x (fma.f64 (.f64 (/.f64 x (.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
▶	50.2%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
	59.3%	(+.f64 x (fma.f64 (.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
	41.8%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
	63.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
	45.9%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
	16.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
▶	22.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
	27.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
	41.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
✓	60.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	41.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
	49.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
	30.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
	30.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
	57.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
	48.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
	46.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
	26.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
▶	18.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 911 to 477 computations (47.6% saved)

simplify317.0ms (2.7%)

Memory

-5.9MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tanh.f64 (/.f64 t y))
cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
cost-diff	0	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
cost-diff	0	#s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))
cost-diff	0	(neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))
cost-diff	0	#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))))
cost-diff	0	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
cost-diff	0	(/.f64 (-.f64 t x) y)
cost-diff	0	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff	0	(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
cost-diff	0	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
cost-diff	0	(*.f64 t z)
cost-diff	0	#s(approx (+ (* (- t x) z) x) (*.f64 t z))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
cost-diff	0	(/.f64 t y)
cost-diff	0	(tanh.f64 (/.f64 t y))
cost-diff	0	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
cost-diff	320	(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))

Rules

7 880×	`lower-fma.f32`
7 872×	`lower-fma.f64`
5 162×	`lower-*.f32`
5 144×	`lower-*.f64`
2 220×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	524
0	97	512
1	211	461
2	501	437
3	1417	437
4	4120	421
0	8280	419

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
(neg.f64 (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
t
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))))
(neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))
#s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 t t) t))
#s(literal 1/3 binary64)
(.f64 (.f64 t t) t)
(*.f64 t t)
t
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
z

Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
(*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))
(neg.f64 (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
#s(approx (+ (* (- t x) z) x) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)
t
z
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) t) z) t) (/.f64 t (*.f64 y y)))))) x)
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))))))
(neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))
(neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) t) z) t) (/.f64 t (*.f64 y y)))))
#s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))
#s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) t) z) t) (/.f64 t (*.f64 y y))))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) t) z) t) (/.f64 t (*.f64 y y)))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 t t) t))
(.f64 (.f64 #s(literal 1/3 binary64) t) (*.f64 t t))
#s(literal 1/3 binary64)
(.f64 (.f64 t t) t)
(*.f64 t t)
t
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
z

localize307.0ms (2.6%)

Memory

31.6MiB live, 185.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(tanh.f64 (/.f64 t y))
accuracy	0.01171875	(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy	1.5694729874156887	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
accuracy	29.97223178011408	#s(approx (tanh (/ x y)) (/.f64 x y))
accuracy	7.303034376246913	(/.f64 z (*.f64 y y))
accuracy	17.809806660415504	(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))
accuracy	38.41430737637555	#s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))
accuracy	42.10508731856283	#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))))
accuracy	0.00390625	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
accuracy	0.01171875	(/.f64 (-.f64 t x) y)
accuracy	1.5694729874156887	(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
accuracy	40.89895887476097	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy	0	(*.f64 t z)
accuracy	25.58060264491775	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy	36.01391505060336	#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy	0.0078125	(tanh.f64 (/.f64 t y))
accuracy	0.01171875	(tanh.f64 (/.f64 x y))
accuracy	1.2876329410947556	(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
accuracy	6.423764522101811	(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)

Samples

166.0ms	218×	0	valid
39.0ms	32×	2	valid
4.0ms	6×	1	valid

Compiler

Compiled 341 to 56 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 105.0ms (63.8% of total)

ival-div: 23.0ms (14% of total)

ival-add: 12.0ms (7.3% of total)

const: 7.0ms (4.3% of total)

adjust: 6.0ms (3.6% of total)

ival-sub: 4.0ms (2.4% of total)

ival-neg: 4.0ms (2.4% of total)

ival-tanh: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series179.0ms (1.5%)

Memory

-24.8MiB live, 232.2MiB allocated

Counts

23 → 840

Calls

Call 1

Inputs
#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (patch #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- t x) z) x) (.f64 t z)) (patch #s(approx (+ ( (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())
#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) (patch (fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) (patch (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (.f64 y y))))))) (patch (+.f64 x #s(approx ( (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (.f64 y y)))))) (patch #s(approx ( (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (.f64 y y))))) (patch (neg.f64 #s(approx (+ ( (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (.f64 y y)))) (patch #s(approx (+ ( (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (.f64 y y))) (patch (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ())) ())
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#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf y) (#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) (taylor -inf y) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())

Calls

210 calls:

Time	Variable		Point	Expression
54.0ms	z	@	-inf	(/ z (* y y))
14.0ms	x	@	-inf	(/ (- t x) y)
3.0ms	y	@	inf	(+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y))
1.0ms	y	@	0	(+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y))
1.0ms	y	@	-inf	(+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y))

simplify371.0ms (3.2%)

Memory

-9.6MiB live, 452.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 770×	`lower-fma.f64`
13 770×	`lower-fma.f32`
7 348×	`lower-+.f64`
7 348×	`lower-+.f32`
4 752×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	924	35949
1	3118	31211
0	9328	30377

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 819

Calls

Call 1

Inputs
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ t (* -1 x))
(+ t (+ (* -1 x) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))))
(- (+ t (+ (* -1 x) (+ (* -1 (/ (- (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow x 3))) (pow y 2))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))))) (* 1/2 (/ (pow t 3) (pow y 2))))
(- (+ t (+ (* -1 x) (+ (* -1 (/ (- (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))))) (pow y 3))) (+ (* -1 (/ (- (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow x 3))) (pow y 2))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2))))))
(+ t (* -1 x))
(+ t (+ (* -1 x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))))
(+ t (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))))
(+ t (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) (* -1/2 (pow x 3))) y)) (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))))
(/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(+ (* -1 x) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* x (- (* 1/3 (/ (pow x 2) (pow y 2))) 1)) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))) 1)) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
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(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) x (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/12 binary64)))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)))) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (*.f64 x x) x)))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(* 1/3 (/ (* (pow t 3) z) (pow y 2)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 t t) t))) (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) x)
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) y))) (.f64 x x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ x y)
(/.f64 x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) x) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 (.f64 x x) x) (.f64 y y))))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) x (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64))) (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/12 binary64)))) (.f64 (.f64 y y) y)) (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (.f64 y y))) (+.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) x (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))) x) (.f64 (.f64 y y) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x x) x))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) x (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/12 binary64)))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)))) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (.f64 (*.f64 x x) x)))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))

rewrite249.0ms (2.1%)

Memory

26.3MiB live, 427.3MiB allocated

Rules

8 162×	`lower-*.f32`
8 144×	`lower-*.f64`
4 264×	`lower-/.f32`
4 256×	`lower-/.f64`
3 842×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	466
0	97	420
1	414	407
2	3558	407
0	11216	393

Stop Event

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

Counts

23 → 406

Calls

Call 1

Inputs
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ (* (- t x) z) x) (*.f64 t z))
(*.f64 t z)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))))
(neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))
#s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)
(tanh.f64 (/.f64 x y))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))
(/.f64 z (*.f64 y y))
#s(approx (tanh (/ x y)) (/.f64 x y))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(.f64 (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(pow.f64 (/.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)))) (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))) y) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y)))) y) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) y) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) y) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)))) y))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) y))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) y) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 y (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 y (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 t y)))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)))) y))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))) y))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) y))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64))) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (.f64 (.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (fma.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))))
(fma.f64 (.f64 y #s(literal -1 binary64)) (tanh.f64 (/.f64 x y)) (.f64 (tanh.f64 (/.f64 t y)) y))
(fma.f64 #s(literal -1 binary64) (.f64 (tanh.f64 (/.f64 x y)) y) (.f64 (tanh.f64 (/.f64 t y)) y))
(fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y (*.f64 (tanh.f64 (/.f64 t y)) y))
(fma.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y) (*.f64 (tanh.f64 (/.f64 t y)) y))
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)))
(fma.f64 y (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) y))
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)) (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))
(-.f64 (.f64 (tanh.f64 (/.f64 t y)) y) (.f64 (tanh.f64 (/.f64 x y)) y))
(+.f64 (.f64 (tanh.f64 (/.f64 t y)) y) (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)))
(+.f64 (.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (.f64 (tanh.f64 (/.f64 t y)) y))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y)))))
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(/.f64 z (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 z) (*.f64 y y)))
(neg.f64 (/.f64 z (*.f64 (neg.f64 y) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
#s(approx (tanh (/ x y)) (/.f64 x y))

eval218.0ms (1.8%)

Memory: 5.8MiB live, 497.5MiB allocated
Compiler: Compiled 50 811 to 2 679 computations (94.7% saved)

prune254.0ms (2.2%)

Memory

-5.6MiB live, 448.2MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 305	15	1 320
Fresh	10	7	17
Picked	3	2	5
Done	0	2	2
Total	1 318	26	1 344

Accuracy

100.0%

Counts

1 344 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
	47.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
▶	76.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
	68.7%	(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
	64.6%	(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
✓	98.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	67.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
▶	25.3%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
▶	25.2%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
	49.7%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
	50.1%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
	41.6%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
	58.3%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
	46.6%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
▶	45.9%	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
	59.3%	(+.f64 x (fma.f64 (.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
	32.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
	15.9%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
	27.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
	41.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
✓	60.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	49.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
	30.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
	57.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
▶	26.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
✓	18.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 904 to 476 computations (47.3% saved)

simplify144.0ms (1.2%)

Memory

-4.8MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y)
cost-diff	0	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
cost-diff	320	(*.f64 #s(literal 1 binary64) y)
cost-diff	2048	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
cost-diff	0	(.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y)
cost-diff	0	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
cost-diff	320	(-.f64 (.f64 t y) (.f64 y x))
cost-diff	640	(/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))
cost-diff	0	(/.f64 (-.f64 t x) y)
cost-diff	0	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
cost-diff	0	(-.f64 t x)
cost-diff	0	(*.f64 (-.f64 t x) z)
cost-diff	0	#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
cost-diff	0	(/.f64 t y)
cost-diff	0	(tanh.f64 (/.f64 t y))
cost-diff	0	(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
cost-diff	0	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)

Rules

6 168×	`lower-fma.f32`
6 160×	`lower-fma.f64`
3 918×	`lower-*.f32`
3 900×	`lower-*.f64`
2 158×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	389
0	79	333
1	181	327
2	515	319
3	1745	319
4	5379	319
0	8057	316

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (1.3%)

Memory

30.1MiB live, 224.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.5694729874156887	(.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y)
accuracy	4.780285781778159	(*.f64 (/.f64 y t) x)
accuracy	20.99803610841934	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
accuracy	40.89895887476097	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))
accuracy	0.9062458716604117	(-.f64 (.f64 t y) (.f64 y x))
accuracy	1.5694729874156887	(.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y)
accuracy	25.902086797751547	(/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))
accuracy	40.89895887476097	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))
accuracy	0	(*.f64 z y)
accuracy	0.01171875	(/.f64 (-.f64 t x) y)
accuracy	3.8020094559081072	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
accuracy	40.89895887476097	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy	0	(-.f64 t x)
accuracy	0	(*.f64 (-.f64 t x) z)
accuracy	22.101936977866682	#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))
accuracy	25.58060264491775	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
accuracy	0.00390625	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
accuracy	0.0078125	(tanh.f64 (/.f64 t y))
accuracy	1.2876329410947556	(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))
accuracy	30.030302755578145	#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))

Samples

71.0ms	218×	0	valid
24.0ms	32×	2	valid
3.0ms	6×	1	valid

Compiler

Compiled 272 to 43 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 30.0ms (43.3% of total)

ival-div: 12.0ms (17.3% of total)

ival-add: 12.0ms (17.3% of total)

ival-sub: 5.0ms (7.2% of total)

adjust: 5.0ms (7.2% of total)

ival-tanh: 4.0ms (5.8% of total)

ival-neg: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.6%)

Memory

7.8MiB live, 125.3MiB allocated

Counts

24 → 840

Calls

Call 1

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

Calls

210 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	y	@	-inf	(/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y))
1.0ms	y	@	0	(/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y))
1.0ms	y	@	inf	(/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y))
1.0ms	t	@	0	(/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y))

simplify308.0ms (2.6%)

Memory

-22.7MiB live, 422.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 806×	`lower-fma.f64`
14 806×	`lower-fma.f32`
6 286×	`lower-+.f64`
6 286×	`lower-+.f32`
4 488×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	802	31815
1	2671	24249
0	9344	23652

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 804

Calls

Call 1

Inputs
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z)))
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))))
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4)))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
x
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
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(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)
(/ (* x y) t)

Outputs
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) x)
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z)))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 t z x))
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))))
(fma.f64 (neg.f64 y) (/.f64 (.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 (fma.f64 (.f64 (.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (.f64 y y)) z) t x))
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4)))))))))
(fma.f64 (neg.f64 y) (/.f64 (.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 z (.f64 y y)) #s(literal -1/3 binary64))) (.f64 t t) z) t x))
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
x
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(fma.f64 (*.f64 z y) (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) x)
(+ x (* z (+ t (* -1 x))))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* z (+ t (* -1 x))) (/ (* z (+ (* -1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y)))
(fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) t) x) x)
(+ x (+ (* z (+ t (* -1 x))) (+ (/ (* z (+ (* -1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y) (/ (* z (- (+ (* -1 (- (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow x 3)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))))) (* 1/2 (pow t 3)))) (pow y 2)))))
(fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64)) (.f64 (.f64 t t) t)))) (*.f64 y y))) x))
(+ x (+ (* z (+ t (* -1 x))) (+ (/ (* z (+ (* -1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y) (+ (/ (* z (- (+ (* -1 (- (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))))))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (+ (* -1 (- (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow x 3)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))))) (* 1/2 (pow t 3)))) (pow y 2))))))
(fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) t) x) (fma.f64 z (+.f64 (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 (neg.f64 t) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 t t) t)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 t t) #s(literal -1/2 binary64))) (.f64 t t) (.f64 (.f64 (.f64 (.f64 t t) t) t) #s(literal -1/12 binary64)))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/12 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) t) #s(literal -1/2 binary64)))) t #s(literal 0 binary64))) (.f64 (.f64 y y) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64)) (.f64 (.f64 t t) t)))) (*.f64 y y))) x))
(+ x (* z (+ t (* -1 x))))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* -1 (/ (* z (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* z (+ t (* -1 x)))))
(fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) t) x) x)
(+ x (+ (* -1 (/ (+ (* -1 (/ (* z (- (+ (* -1 (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3)))) y)) (* z (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* z (+ t (* -1 x)))))
(+.f64 (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) x))) z) (neg.f64 y))) (neg.f64 y))) x)
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* z (- (+ (* -1 (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) (* z (- (+ (* -1 (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))))) y)) (* z (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* z (+ t (* -1 x)))))
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(/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (.f64 (.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
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(fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (.f64 (.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))))
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (/.f64 z (.f64 y y)) (-.f64 #s(literal 1 binary64) z)) x (/.f64 (.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))))
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))
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x
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(/.f64 (-.f64 (+.f64 (+.f64 t (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))) x) (.f64 (.f64 y y) y)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 t) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 t t) t)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 t t) #s(literal -1/2 binary64))) (.f64 t t) (.f64 (.f64 (.f64 (.f64 t t) t) t) #s(literal -1/12 binary64)))) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64)) (.f64 y y))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) y)))) (+.f64 (+.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) t) #s(literal -1/2 binary64))) t) (.f64 (.f64 y y) y)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/12 binary64)))) (.f64 (.f64 y y) y)) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (.f64 y y))) (fma.f64 (/.f64 (.f64 (.f64 t t) t) (.f64 y y)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) y))))) y)
(* -1 (/ (- (* -1 t) (* -1 x)) y))
(/.f64 (-.f64 t x) y)
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) x) (neg.f64 y))
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x))) (neg.f64 y)) (neg.f64 y)) t) x) (neg.f64 y))
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))) x (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 t t) #s(literal -1/2 binary64))) (.f64 t t) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 t t) t)) t (.f64 (.f64 (.f64 (.f64 t t) t) t) #s(literal -1/12 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) t) #s(literal -1/2 binary64))) t (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/12 binary64))))))) (neg.f64 y)) (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))) (neg.f64 y)) (neg.f64 y)) t) x) (neg.f64 y))
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))))
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 y y) y)) #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))))
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal -2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 y y) y))) (.f64 x x) (/.f64 #s(literal -1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)
(/ (* x y) t)
(/.f64 (*.f64 y x) t)

rewrite232.0ms (2%)

Memory

21.9MiB live, 285.9MiB allocated

Rules

6 624×	`lower-*.f32`
6 606×	`lower-*.f64`
3 554×	`lower-/.f32`
3 544×	`lower-/.f64`
2 296×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	338
0	79	284
1	338	270
2	2876	270
0	8840	267

Stop Event

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

Counts

24 → 1 186

Calls

Call 1

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

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

eval298.0ms (2.5%)

Memory: 19.7MiB live, 568.3MiB allocated
Compiler: Compiled 62 070 to 3 314 computations (94.7% saved)

prune409.0ms (3.5%)

Memory

-7.5MiB live, 487.5MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	2 014	19	2 033
Fresh	7	10	17
Picked	3	2	5
Done	0	4	4
Total	2 024	35	2 059

Accuracy

100.0%

Counts

2 059 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
	47.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
✓	76.5%	(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
	68.7%	(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
	64.6%	(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
✓	98.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	67.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
	25.2%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
	39.2%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
	36.4%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
	15.0%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
	26.3%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
	32.3%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
	50.1%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
	41.6%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
	46.6%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
	13.2%	(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 t t) t) (fma.f64 x (+.f64 x t) (.f64 t t))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (fma.f64 x (+.f64 x t) (.f64 t t)))) y)) x)
	35.9%	(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
	25.3%	(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 y y)) t) (.f64 (/.f64 y (.f64 y y)) t)) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 y (/.f64 t (.f64 y y)) (/.f64 x y)))) x)
	9.4%	(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)
	41.6%	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
	45.9%	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
	56.1%	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
	59.3%	(+.f64 x (fma.f64 (.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
	32.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
	15.9%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
	41.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
✓	60.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	49.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
	20.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
	13.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
✓	26.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
	10.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
✓	18.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
	23.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))

Compiler

Compiled 1 948 to 646 computations (66.8% saved)

regimes137.0ms (1.2%)

Memory

-6.9MiB live, 150.3MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 t t) t) (fma.f64 x (+.f64 x t) (.f64 t t))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (fma.f64 x (+.f64 x t) (.f64 t t)))) y)) x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 y y)) t) (.f64 (/.f64 y (.f64 y y)) t)) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 y (/.f64 t (.f64 y y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(+.f64 x (fma.f64 (.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
(fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 x (fma.f64 (.f64 (/.f64 x (.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 t t)) (/.f64 z (.f64 y y)) z) t x)))

Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)

Calls

5 calls:

48.0ms	z
29.0ms	x
20.0ms	t
17.0ms	y
17.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes100.0ms (0.9%)

Memory

-27.0MiB live, 179.4MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 t t) t) (fma.f64 x (+.f64 x t) (.f64 t t))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (fma.f64 x (+.f64 x t) (.f64 t t)))) y)) x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 y y)) t) (.f64 (/.f64 y (.f64 y y)) t)) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 y (/.f64 t (.f64 y y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(+.f64 x (fma.f64 (.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
(fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 x (fma.f64 (.f64 (/.f64 x (.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)

Calls

5 calls:

20.0ms	z
20.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
19.0ms	t
19.0ms	y
19.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes193.0ms (1.6%)

Memory

10.5MiB live, 169.1MiB allocated

Counts

60 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 t t) t) (fma.f64 x (+.f64 x t) (.f64 t t))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (fma.f64 x (+.f64 x t) (.f64 t t)))) y)) x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 y y)) t) (.f64 (/.f64 y (.f64 y y)) t)) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 y (/.f64 t (.f64 y y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(+.f64 x (fma.f64 (.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y))))))
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x)
(fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (.f64 x (fma.f64 (.f64 (/.f64 x (.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 x (.f64 (.f64 y y) y))) (/.f64 x y))))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (.f64 x x) (*.f64 y y)) y) (/.f64 x y))))))

Outputs

(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)

(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)

(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)

Calls

5 calls:

119.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.0ms	z
18.0ms	y
17.0ms	x
16.0ms	t

Results

Accuracy	Segments	Branch
84.9%	3	`x`
76.5%	1	`y`
81.0%	3	`z`
84.2%	3	`t`
83.2%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes17.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 t t) t) (fma.f64 x (+.f64 x t) (.f64 t t))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (fma.f64 x (+.f64 x t) (.f64 t t)))) y)) x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 y y)) t) (.f64 (/.f64 y (.f64 y y)) t)) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 y (/.f64 t (.f64 y y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))

Outputs

(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)

(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)

(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
84.2%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes85.0ms (0.7%)

Memory

-12.1MiB live, 105.8MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 t t) t) (fma.f64 x (+.f64 x t) (.f64 t t))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (fma.f64 x (+.f64 x t) (.f64 t t)))) y)) x)
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 y y)) t) (.f64 (/.f64 y (.f64 y y)) t)) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 y (/.f64 t (.f64 y y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)

Outputs

(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)

(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)

Calls

4 calls:

35.0ms	x
18.0ms	t
15.0ms	z
14.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
76.5%	1	`z`
76.5%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
76.5%	1	`t`
79.1%	2	`x`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes108.0ms (0.9%)

Memory

8.7MiB live, 130.4MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (.f64 (-.f64 (/.f64 (.f64 t z) x) z) x))))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (/.f64 (neg.f64 x) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 t y)) (.f64 y y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- ( t y) (* y x)) (.f64 (neg.f64 x) y)) (.f64 y y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 (.f64 x x) x))) (*.f64 y y)))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (.f64 y y))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) t)) (/.f64 z (*.f64 y y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (.f64 (.f64 z #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 x x) x) (*.f64 y y)))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 y (-.f64 t x)) y) y)) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- ( t y) (* y x)) (* y y)) (.f64 (-.f64 (/.f64 t (.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* (+ (neg t) x) z) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 z t)) y) y)))))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) y)) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (.f64 t t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (.f64 y (+.f64 x t)) (.f64 y (-.f64 t x))) (.f64 (.f64 y y) (*.f64 y (+.f64 x t))))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) y) z x)
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y x)))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (+.f64 (neg.f64 t) x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))) (/.f64 z y))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 t t) t) #s(literal 1/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) (.f64 (.f64 t t) t)))) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x)))
(fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (*.f64 (/.f64 y t) y) t)))) x)

Outputs
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))

Calls

5 calls:

48.0ms	t
19.0ms	y
14.0ms	x
12.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	z

Results

Accuracy	Segments	Branch
65.5%	2	`y`
64.0%	3	`z`
62.6%	2	`t`
68.4%	5	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
64.3%	3	`x`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 8.0MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))

Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.3%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Memory

-6.8MiB live, 30.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))

Outputs

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))

Calls

5 calls:

5.0ms	y
2.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	x
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
61.8%	3	`z`
49.9%	1	`t`
55.2%	3	`x`
58.2%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
54.1%	2	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes12.0ms (0.1%)

Memory

-6.8MiB live, 30.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))

Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))

Calls

5 calls:

2.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	x
2.0ms	y
2.0ms	t
2.0ms	z

Results

Accuracy	Segments	Branch
26.3%	1	`t`
26.3%	1	`x`
26.3%	1	`y`
26.3%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
26.3%	1	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))

Outputs

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Calls

5 calls:

2.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	t
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
20.5%	2	`z`
20.6%	2	`x`
23.5%	3	`t`
18.9%	1	`y`
18.9%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes18.0ms (0.2%)

Memory

-24.6MiB live, 13.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Calls

4 calls:

14.0ms	t
1.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
18.9%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
18.9%	1	`z`
18.9%	1	`x`
18.9%	1	`t`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch68.0ms (0.6%)

Memory

-11.9MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.883680474951007e+134	3.662258521442913e+137
50.0ms	-3.519257271574283e+87	-1.681105598136596e+76

Samples

52.0ms	282×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 706 to 415 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 36.0ms (78.6% of total)

ival-div: 4.0ms (8.7% of total)

ival-tanh: 3.0ms (6.6% of total)

ival-add: 1.0ms (2.2% of total)

ival-sub: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch15.0ms (0.1%)

Memory

-5.1MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.883680474951007e+134	3.662258521442913e+137
1.0ms	-3.519257271574283e+87	-1.681105598136596e+76

Samples

9.0ms	95×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 670 to 397 computations (40.7% saved)

Precisions

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

ival-mult: 3.0ms (45.6% of total)

ival-div: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

ival-tanh: 1.0ms (15.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch19.0ms (0.2%)

Memory

3.0MiB live, 40.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-3.2568878210212852e+246	-1.1978460967253151e+244

Samples

11.0ms	125×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 278 to 163 computations (41.4% saved)

Precisions

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

ival-div: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

ival-tanh: 2.0ms (30.5% of total)

ival-add: 1.0ms (15.3% of total)

ival-sub: 1.0ms (15.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch16.0ms (0.1%)

Memory

2.1MiB live, 38.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.928043190240524e+33	1.469235037323713e+35

Samples

10.0ms	107×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 211 to 124 computations (41.2% saved)

Precisions

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

ival-div: 2.0ms (36.1% of total)

ival-sub: 1.0ms (18% of total)

ival-mult: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

ival-tanh: 1.0ms (18% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch21.0ms (0.2%)

Memory

-12.7MiB live, 30.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.2144946648158054e+46	5.250891918981721e+49

Samples

14.0ms	125×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 214 to 131 computations (38.8% saved)

Precisions

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

ival-div: 2.0ms (32.8% of total)

ival-mult: 2.0ms (32.8% of total)

ival-add: 1.0ms (16.4% of total)

ival-sub: 1.0ms (16.4% of total)

ival-tanh: 1.0ms (16.4% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch45.0ms (0.4%)

Memory

26.8MiB live, 97.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.9101519203555737e-16	0.06769152103693508
23.0ms	-2.5656602822196945e-5	-7.811315293363454e-24

Samples

30.0ms

320×

valid

Compiler

Compiled 502 to 299 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (27.3% of total)

ival-mult: 4.0ms (27.3% of total)

ival-tanh: 3.0ms (20.5% of total)

ival-add: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

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

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

bsearch38.0ms (0.3%)

Memory

-15.5MiB live, 67.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.8193633303377198e-65	8.90041696912321e-64
18.0ms	-4.2137602972274315e-134	-6.45515221193439e-143

Samples

26.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 374 to 227 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 3.0ms (21.8% of total)

ival-mult: 3.0ms (21.8% of total)

ival-sub: 3.0ms (21.8% of total)

ival-tanh: 2.0ms (14.5% of total)

ival-add: 1.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

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

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

simplify9.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	549
1	105	549
2	118	549
3	126	549
4	129	549
5	130	549

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)))
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) x) (if (<=.f64 x #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)))
(if (<=.f64 x #s(literal -58000000000000002813602438177827285447276845705275052785403244116442662198395849820129284809045032970821337694842460523581945875488248090025552304952508794691933949015045436199895584612217691553877968950522253226165612258307627892739656829108224 binary64)) (fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x))
(if (<=.f64 y #s(literal 94999999999999998864872209893031936 binary64)) (fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 20500000000000000006413759863388547116318920278016 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 z #s(literal -6611313076017503/1180591620717411303424 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 7638104968020361/144115188075855872 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
(if (<=.f64 t #s(literal -7365128867766319/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (if (<=.f64 t #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Outputs
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)))
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x)))
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 z y) x) (if (<=.f64 x #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)))
(if (<=.f64 x #s(literal -58000000000000002813602438177827285447276845705275052785403244116442662198395849820129284809045032970821337694842460523581945875488248090025552304952508794691933949015045436199895584612217691553877968950522253226165612258307627892739656829108224 binary64)) (fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx ( (neg (tanh (/ x y))) y) (neg.f64 x))) z x))
(if (<=.f64 y #s(literal 94999999999999998864872209893031936 binary64)) (fma.f64 (.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 20500000000000000006413759863388547116318920278016 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 z #s(literal -6611313076017503/1180591620717411303424 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 7638104968020361/144115188075855872 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
(if (<=.f64 t #s(literal -7365128867766319/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (if (<=.f64 t #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
(if (<=.f64 t #s(literal -7365128867766319/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 z t))) (if (<=.f64 t #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))

soundness1.4s (12%)

Memory

-11.8MiB live, 718.6MiB allocated

Rules

14 806×	`lower-fma.f64`
14 806×	`lower-fma.f32`
14 166×	`lower-fma.f64`
14 166×	`lower-fma.f32`
13 770×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	466
0	97	420
1	414	407
2	3558	407
0	11216	393
0	924	35949
1	3118	31211
0	9328	30377
0	60	445
0	106	400
1	421	388
2	3485	388
0	8922	374
0	495	10076
1	1678	7475
2	6945	7471
0	8227	7285
0	802	31815
1	2671	24249
0	9344	23652
0	794	37471
1	2662	28543
0	9097	27728
0	12	48
0	20	48
1	99	48
2	871	48
0	8208	47

Stop Event

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

Compiler

Compiled 1 038 to 441 computations (57.5% saved)

preprocess484.0ms (4.1%)

Memory: -7.0MiB live, 112.0MiB allocated
Remove: (abs y)
Compiler: Compiled 726 to 242 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze88.0ms (0.7%)

sample1.7s (14.1%)

explain174.0ms (1.5%)

preprocess194.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify164.0ms (1.4%)

localize248.0ms (2.1%)

series333.0ms (2.8%)

simplify441.0ms (3.8%)

rewrite196.0ms (1.7%)

eval97.0ms (0.8%)

prune78.0ms (0.7%)

simplify174.0ms (1.5%)

localize281.0ms (2.4%)

series154.0ms (1.3%)

simplify291.0ms (2.5%)

rewrite243.0ms (2.1%)

eval291.0ms (2.5%)

prune318.0ms (2.7%)

simplify317.0ms (2.7%)

localize307.0ms (2.6%)

series179.0ms (1.5%)

simplify371.0ms (3.2%)

rewrite249.0ms (2.1%)

eval218.0ms (1.8%)

prune254.0ms (2.2%)

simplify144.0ms (1.2%)

localize157.0ms (1.3%)

series74.0ms (0.6%)

simplify308.0ms (2.6%)

rewrite232.0ms (2%)

eval298.0ms (2.5%)

prune409.0ms (3.5%)

regimes137.0ms (1.2%)

regimes100.0ms (0.9%)

regimes193.0ms (1.6%)

regimes17.0ms (0.1%)

regimes85.0ms (0.7%)

regimes108.0ms (0.9%)

regimes3.0ms (0%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch68.0ms (0.6%)

bsearch15.0ms (0.1%)

bsearch19.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch45.0ms (0.4%)

bsearch38.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.4s (12%)

preprocess484.0ms (4.1%)

end0.0ms (0%)

Profiling