Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze101.0ms (0.8%)

Memory

-35.3MiB live, 96.3MiB 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)

sample1.1s (8.9%)

Memory

43.0MiB live, 1 606.3MiB allocated

Samples

766.0ms	8 041×	0	valid
34.0ms	215×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 498.0ms

ival-mult: 141.0ms (28.3% of total)

ival-tanh: 131.0ms (26.3% of total)

ival-div: 126.0ms (25.3% of total)

ival-add: 50.0ms (10% of total)

ival-sub: 39.0ms (7.8% of total)

ival-true: 6.0ms (1.2% of total)

adjust: 3.0ms (0.6% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess487.0ms (3.8%)

Memory

6.1MiB live, 752.4MiB allocated

Algorithm

2×	egg-herbie

Rules

12 492×	`accelerator-lowering-fma.f32`
12 492×	`accelerator-lowering-fma.f64`
3 782×	`-lowering-.f32`
3 782×	`-lowering-.f64`
2 164×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	238
1	406	236
2	1196	225
3	4706	225
0	12	15
1	54	15
2	157	15
3	419	15
4	1653	15
5	6375	15
0	8390	14

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))
(- (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))) x)
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ x (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))
(- x (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))))
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))))
(- x (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))))
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))))
(- (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))) x)
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))))
(- (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))))
(- (* y (* z (+ (tanh (/ t y)) (tanh (/ x y))))) x)
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x)))))
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y)))))
(+ z (* (* x y) (- (tanh (/ t y)) (tanh (/ z y)))))
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z)))))
(+ x (* (* y z) (- (tanh (/ t z)) (tanh (/ x z)))))
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t)))))
(+ x (* (* z t) (- (tanh (/ y t)) (tanh (/ x t)))))
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y)))))
(+ x (* y (* t (- (tanh (/ z y)) (tanh (/ x y))))))

Symmetry

(abs y)

explain161.0ms (1.3%)

Memory

-2.1MiB live, 368.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	2	(-2.8343496614328898e-86 1.3674160166468418e+237 -1.4507764176612552e-160 1.336659682919517e-195)	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`
0	-	0	-	`(/.f64 x y)`
0	-	0	-	`(/.f64 t y)`
0	-	0	-	`t`
0	-	0	-	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
0	-	0	-	`(tanh.f64 (/.f64 x y))`
0	-	0	-	`z`
0	-	0	-	`(tanh.f64 (/.f64 t y))`
0	-	0	-	`y`
0	-	0	-	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`
0	-	0	-	`(*.f64 y z)`
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**	21	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	5	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	1	0
↳	`(*.f64 y z)`	overflow	36
↳	`(/.f64 t y)`	underflow	23
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	46
↳	`(tanh.f64 (/.f64 x y))`	underflow	33
↳	`(/.f64 x y)`	underflow	33
↳	`(tanh.f64 (/.f64 t y))`	underflow	23

Confusion

	Predicted +	Predicted -
+	26	0
-	1	229

Precision

0.9629629629629629

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	0
-	1	0	229

Precision?

0.9629629629629629

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	438×	0	valid
14.0ms	62×	2	valid
2.0ms	12×	1	valid

Compiler

Compiled 158 to 52 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 10.0ms (29.1% of total)

ival-mult: 10.0ms (29.1% of total)

ival-tanh: 6.0ms (17.4% of total)

ival-sub: 4.0ms (11.6% of total)

ival-add: 3.0ms (8.7% of total)

adjust: 2.0ms (5.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(+.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)

simplify453.0ms (3.6%)

Memory

6.6MiB live, 565.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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×	`accelerator-lowering-fma.f32`
12 492×	`accelerator-lowering-fma.f64`
3 782×	`-lowering-.f32`
3 782×	`-lowering-.f64`
2 164×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	54	58
2	157	58
3	419	58
4	1653	58
5	6375	58
0	8390	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize43.0ms (0.3%)

Memory

13.9MiB live, 91.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	88.9%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

20.0ms	219×	0	valid
10.0ms	31×	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 (30% of total)

ival-mult: 4.0ms (24% of total)

ival-sub: 3.0ms (18% of total)

ival-tanh: 3.0ms (18% of total)

adjust: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

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

series56.0ms (0.4%)

Memory

-6.0MiB live, 111.7MiB allocated

Counts

5 → 180

Calls

Call 1

Inputs
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))>
#<alt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))>
#<alt (* y z)>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (tanh (/ t y))>

Outputs
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<alt x>
#<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)))>
#<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)))>
#<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)))>
#<alt x>
#<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)))>
#<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)))>
#<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)))>
#<alt x>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<alt (+ x (* z (- t x)))>
#<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)))>
#<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)))))>
#<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))))))>
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))>
#<alt (+ 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)))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt x>
#<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))))))))))>
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#<alt (* 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)))))))))>
#<alt (* 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)))))))))>
#<alt (* 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)))))))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<alt (/ (- t x) y)>
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)>
#<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 x 3) (pow y 2)))))) (+ 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 t 3) (pow y 2))))))) y)>
#<alt (/ (- (+ t (+ (* -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 (/ (+ (* -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 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -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 (/ (+ (* -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 (/ (pow t 3) (pow y 2)))))))))) y)>
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (* 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)))))))>
#<alt (- (+ (* 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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<alt (/ t y)>
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* 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)))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ t y)>
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)>
#<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)>
#<alt (/ (- (+ 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)>
#<alt (/ t y)>
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))>
#<alt (* -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))>
#<alt (* -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))>

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	t	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms	z	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms	x	@	0	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite359.0ms (2.8%)

Memory

8.0MiB live, 602.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 094×	`-lowering-.f32`
5 094×	`-lowering-.f64`
4 102×	`/-lowering-/.f32`
4 102×	`/-lowering-/.f64`
2 936×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	91	44
2	863	44
0	8202	43

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 271

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
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(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 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) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) #s(literal -1 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 #s(literal 0 binary64) (/.f64 t y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 2 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 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) #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 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 t y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 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 #s(literal 0 binary64) (/.f64 t y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 t y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))) (.f64 (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.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 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
(.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 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 0 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))) #s(literal -1 binary64))))
(tanh.f64 (/.f64 t y))

simplify478.0ms (3.8%)

Memory

-14.3MiB live, 784.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 934×	`accelerator-lowering-fma.f32`
9 934×	`accelerator-lowering-fma.f64`
3 770×	`-lowering-.f32`
3 770×	`-lowering-.f64`
3 548×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	9242
1	1484	6963
2	6159	6572
0	9215	6439

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

eval65.0ms (0.5%)

Memory: -2.7MiB live, 159.2MiB allocated
Compiler: Compiled 20 335 to 1 606 computations (92.1% saved)

prune58.0ms (0.5%)

Memory

-5.3MiB live, 154.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	445	6	451
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	446	6	452

Accuracy

100.0%

Counts

452 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	61.2%	(fma.f64 z (-.f64 t x) x)
▶	47.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
▶	58.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
	71.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 (.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) (tanh.f64 (/.f64 x y)))))
▶	55.7%	x

Compiler

Compiled 196 to 120 computations (38.8% saved)

simplify674.0ms (5.3%)

Memory

-5.5MiB live, 592.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	cost-diff	256	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
✓	cost-diff	0	(/.f64 (-.f64 t x) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(fma.f64 z (-.f64 t x) 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

11 056×	`accelerator-lowering-fma.f32`
11 056×	`accelerator-lowering-fma.f64`
3 608×	`-lowering-.f32`
3 608×	`-lowering-.f64`
3 056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	149
1	80	149
2	224	149
3	641	149
4	2314	145
0	8465	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize98.0ms (0.8%)

Memory

31.7MiB live, 222.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	accuracy	79.6%	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	accuracy	100.0%	(/.f64 (-.f64 t x) y)
✓	accuracy	74.8%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(fma.f64 z (-.f64 t x) x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	100.0%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	96.1%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Samples

40.0ms	218×	0	valid
18.0ms	32×	2	valid
2.0ms	5×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 153 to 24 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 12.0ms (30.2% of total)

ival-tanh: 10.0ms (25.2% of total)

ival-div: 7.0ms (17.6% of total)

ival-add: 5.0ms (12.6% of total)

ival-sub: 4.0ms (10.1% of total)

adjust: 2.0ms (5% of total)

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

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

series54.0ms (0.4%)

Memory

-11.7MiB live, 100.4MiB allocated

Counts

14 → 516

Calls

Call 1

Inputs
#<alt (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)>
#<alt (* (- (tanh (/ t y)) (tanh (/ x y))) y)>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (tanh (/ t y))>
#<alt (+ (* z (- t x)) x)>
#<alt (- t x)>
#<alt (* (* y z) (/ (- t x) y))>
#<alt (+ x (* (* y z) (/ (- t x) y)))>
#<alt (* y z)>
#<alt (/ (- t x) y)>
#<alt (* (* y z) (- (/ t y) (tanh (/ x y))))>
#<alt (+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))>
#<alt (- (/ t y) (tanh (/ x y)))>
#<alt (tanh (/ x y))>

Outputs
#<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)))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<alt x>
#<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))))))))))>
#<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))))))))))>
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#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))>
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))>
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))>
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (/ t y)>
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (/ t y)>
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))>
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))>
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))>
#<alt (/ t y)>
#<alt (/ (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) y)>
#<alt (/ (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) y)>
#<alt (/ (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) y)>
#<alt (/ (- t x) y)>
#<alt (/ (- (+ t (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) x) y)>
#<alt (/ (- (+ t (* 1/2 (/ (pow x 3) (pow y 2)))) (+ 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))))) y)>
#<alt (/ (- (+ t (+ (* -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)))))) (+ 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)))))) y)>
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) (* -1 x)) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (* -1/2 (pow x 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 x 2)) (pow x 2)))) y))) (* -1 x)) y))>
#<alt (* -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 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 x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))>
#<alt (/ t y)>
#<alt (+ (* -1 (/ x y)) (/ t y))>
#<alt (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ t y))>
#<alt (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ t y))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<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)))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)>
#<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)>
#<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)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<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))>
#<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))>

Calls

129 calls:

Time	Variable		Point	Expression
10.0ms	t	@	0	(* (* y z) (- (/ t y) (tanh (/ x y))))
4.0ms	x	@	-inf	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
1.0ms	y	@	-inf	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
1.0ms	y	@	inf	(* (* y z) (- (/ t y) (tanh (/ x y))))
1.0ms	y	@	-inf	(* (* y z) (- (/ t y) (tanh (/ x y))))

rewrite917.0ms (7.2%)

Memory

12.3MiB live, 630.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 314×	`/-lowering-/.f32`
5 314×	`/-lowering-/.f64`
4 168×	`accelerator-lowering-fma.f32`
4 168×	`accelerator-lowering-fma.f64`
3 548×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	171	115
2	1820	115
0	8616	111

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 536

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)))
(+.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)))) (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 (.f64 y z) x)))) (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 (.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z) (-.f64 #s(literal 0 binary64) 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 y z) x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 (.f64 y z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (.f64 (/.f64 y t) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))) (.f64 (/.f64 y t) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) y) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (-.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 t y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 t (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (neg.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 t (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (.f64 y (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y))))) (neg.f64 (.f64 y (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 t (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))))) (neg.f64 (.f64 y (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (/.f64 y t) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (neg.f64 (.f64 (/.f64 y t) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (.f64 (/.f64 y t) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y))))) (neg.f64 (.f64 (/.f64 y t) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) y) (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (/.f64 t y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) (/.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) (fma.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) (.f64 (/.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (.f64 y y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (*.f64 y y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 t t) (.f64 y y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 t t) (.f64 y y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (/.f64 (/.f64 (.f64 t t) (.f64 y y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (fma.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (.f64 (/.f64 (/.f64 (.f64 t t) (*.f64 y y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (*.f64 y y)))))
(.f64 (-.f64 (/.f64 (.f64 t t) (*.f64 y y)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(-.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y))) (neg.f64 (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (fma.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)))) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))
(.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))))
(tanh.f64 (/.f64 x y))

simplify634.0ms (5%)

Memory

17.0MiB live, 1 163.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 838×	`accelerator-lowering-fma.f32`
15 838×	`accelerator-lowering-fma.f64`
5 608×	`+-lowering-+.f64`
5 608×	`+-lowering-+.f32`
5 298×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	773	15424
1	2598	12083
0	9351	11770

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

eval215.0ms (1.7%)

Memory: -13.2MiB live, 379.4MiB allocated
Compiler: Compiled 35 665 to 3 015 computations (91.5% saved)

prune218.0ms (1.7%)

Memory

-0.7MiB live, 316.6MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 154	24	1 178
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 157	27	1 184

Accuracy

100.0%

Counts

1 184 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.6%	(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z x)
	54.8%	(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x)
▶	36.8%	(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x)
	58.7%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
▶	54.7%	(fma.f64 (-.f64 t x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	54.3%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
▶	79.4%	(fma.f64 (.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y) z x)
	70.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	98.1%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	52.8%	(fma.f64 (.f64 y (.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x)
	45.2%	(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
✓	61.2%	(fma.f64 z (-.f64 t x) x)
▶	59.7%	(fma.f64 z (*.f64 x (+.f64 (/.f64 t x) #s(literal -1 binary64))) x)
	57.7%	(fma.f64 z t x)
	52.8%	(+.f64 (/.f64 (.f64 y (.f64 z (-.f64 t x))) y) x)
	51.6%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (.f64 y z)))))
	41.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
	51.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	29.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x))))))
	47.0%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
	18.1%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y (.f64 z (-.f64 t x))) (.f64 y (.f64 z (-.f64 t x)))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))))
	32.7%	(.f64 (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (.f64 z (-.f64 t x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (-.f64 t x)) x)))
	29.5%	(*.f64 z (-.f64 t x))
	52.0%	(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
▶	20.5%	(*.f64 z t)
	48.3%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	55.7%	x

Compiler

Compiled 915 to 517 computations (43.5% saved)

simplify313.0ms (2.5%)

Memory

15.8MiB live, 540.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 t x) (-.f64 t x))
✓	cost-diff	0	(/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))
✓	cost-diff	384	(/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x))))
✓	cost-diff	2432	(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(fma.f64 (-.f64 t x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z))
✓	cost-diff	0	(/.f64 t x)
✓	cost-diff	0	(+.f64 (/.f64 t x) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 z (*.f64 x (+.f64 (/.f64 t x) #s(literal -1 binary64))) x)
✓	cost-diff	1024	(*.f64 x (+.f64 (/.f64 t x) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y)
✓	cost-diff	0	(fma.f64 (.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y) z x)
✓	cost-diff	320	(.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))

Rules

6 852×	`accelerator-lowering-fma.f32`
6 852×	`accelerator-lowering-fma.f64`
4 094×	`+-lowering-+.f64`
4 094×	`+-lowering-+.f32`
3 538×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	274
1	112	266
2	317	266
3	1130	242
4	4293	242
5	7814	242
0	8365	228

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* (- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y))) y) z) x)
(* (- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y))) y)
(- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y)))
(* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2)))))
(- (exp (* (/ t y) 2)) 1)
(* (/ t y) 2)
(/ t y)
t
y
2
(/ 1 (+ 1 (exp (* (/ t y) 2))))
1
(+ 1 (exp (* (/ t y) 2)))
(exp (* (/ t y) 2))
(tanh (/ x y))
(/ x y)
x
z
(* z t)
z
t
(+ (* z (* x (+ (/ t x) -1))) x)
z
(* x (+ (/ t x) -1))
x
(+ (/ t x) -1)
(/ t x)
t
-1
(+ (* (- t x) (* (/ 1 y) (* y z))) x)
(- t x)
t
x
(* (/ 1 y) (* y z))
(/ 1 y)
1
y
(* y z)
z
(+ (* (/ z (/ y (* (+ t x) (- t x)))) (/ y (+ t x))) x)
(/ z (/ y (* (+ t x) (- t x))))
z
(/ y (* (+ t x) (- t x)))
y
(* (+ t x) (- t x))
(+ t x)
t
x
(- t x)
(/ y (+ t x))

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

localize193.0ms (1.5%)

Memory

10.5MiB live, 274.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y (+.f64 t x))
✓	accuracy	92.3%	(/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))
✓	accuracy	91.8%	(/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x))))
✓	accuracy	77.8%	(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	81.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z))
✓	accuracy	100.0%	(fma.f64 z (*.f64 x (+.f64 (/.f64 t x) #s(literal -1 binary64))) x)
✓	accuracy	100.0%	(/.f64 t x)
✓	accuracy	100.0%	(+.f64 (/.f64 t x) #s(literal -1 binary64))
✓	accuracy	94.1%	(*.f64 x (+.f64 (/.f64 t x) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 (/.f64 t y) #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))
✓	accuracy	100.0%	(-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y)))
✓	accuracy	96.4%	(.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y)

Samples

78.0ms	182×	0	valid
40.0ms	48×	0	exit
25.0ms	22×	2	valid
2.0ms	1×	5	exit
2.0ms	3×	1	valid

Compiler

Compiled 270 to 41 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 40.0ms (33% of total)

ival-expm1: 30.0ms (24.7% of total)

ival-add: 18.0ms (14.8% of total)

ival-div: 16.0ms (13.2% of total)

ival-sub: 11.0ms (9.1% of total)

adjust: 2.0ms (1.6% of total)

ival-exp: 2.0ms (1.6% of total)

ival-tanh: 2.0ms (1.6% of total)

exact: 0.0ms (0% of total)

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

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

series156.0ms (1.2%)

Memory

-18.9MiB live, 196.5MiB allocated

Counts

20 → 624

Calls

Call 1

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

Outputs
#<alt (/ t y)>
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* 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)))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))>
#<alt (/ t y)>
#<alt (/ (- (+ t (* 2/3 (/ (pow t 3) (pow y 2)))) (/ (pow t 3) (pow y 2))) y)>
#<alt (/ (- (+ t (+ (* 1/3 (/ (pow t 4) (pow y 3))) (* 2/3 (/ (pow t 3) (pow y 2))))) (+ (* 2/3 (/ (pow t 4) (pow y 3))) (+ (/ (* t (- (* 2/3 (pow t 3)) (pow t 3))) (pow y 3)) (/ (pow t 3) (pow y 2))))) y)>
#<alt (/ (- (+ t (+ (* 2/15 (/ (pow t 5) (pow y 4))) (+ (* 1/3 (/ (pow t 4) (pow y 3))) (* 2/3 (/ (pow t 3) (pow y 2)))))) (+ (* 1/3 (/ (pow t 5) (pow y 4))) (+ (* 2/3 (/ (pow t 4) (pow y 3))) (+ (/ (* t (- (* 1/3 (pow t 4)) (+ (* 2/3 (pow t 4)) (* t (- (* 2/3 (pow t 3)) (pow t 3)))))) (pow y 4)) (+ (/ (* t (- (* 2/3 (pow t 3)) (pow t 3))) (pow y 3)) (+ (/ (* (pow t 2) (- (* 2/3 (pow t 3)) (pow t 3))) (pow y 4)) (/ (pow t 3) (pow y 2)))))))) y)>
#<alt (/ t y)>
#<alt (* -1 (/ (- (+ (* -1 t) (* -2/3 (/ (pow t 3) (pow y 2)))) (* -1 (/ (pow t 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (+ (* -1 (/ (- (* 1/3 (pow t 4)) (+ (* -1 (* t (- (* -2/3 (pow t 3)) (* -1 (pow t 3))))) (* 2/3 (pow t 4)))) (pow y 3))) (* -2/3 (/ (pow t 3) (pow y 2))))) (* -1 (/ (pow t 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -2/15 (pow t 5)) (+ (* -1 (* t (- (* 1/3 (pow t 4)) (+ (* -1 (* t (- (* -2/3 (pow t 3)) (* -1 (pow t 3))))) (* 2/3 (pow t 4)))))) (+ (* -1/3 (pow t 5)) (* (pow t 2) (- (* -2/3 (pow t 3)) (* -1 (pow t 3))))))) y)) (* 1/3 (pow t 4))) (+ (* -1 (* t (- (* -2/3 (pow t 3)) (* -1 (pow t 3))))) (* 2/3 (pow t 4)))) (pow y 3))) (* -2/3 (/ (pow t 3) (pow y 2))))) (* -1 (/ (pow t 3) (pow y 2)))) y))>
#<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)))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (* 2 (/ t y))) (+ 1 (exp (* 2 (/ t y)))))) (+ (/ 1 (+ 1 (exp (* 2 (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt x>
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#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- t x))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 x)>
#<alt (- t x)>
#<alt (- t x)>
#<alt (- t x)>
#<alt t>
#<alt (* t (+ 1 (* -1 (/ x t))))>
#<alt (* t (+ 1 (* -1 (/ x t))))>
#<alt (* t (+ 1 (* -1 (/ x t))))>
#<alt t>
#<alt (* -1 (* t (- (/ x t) 1)))>
#<alt (* -1 (* t (- (/ x t) 1)))>
#<alt (* -1 (* t (- (/ x t) 1)))>
#<alt t>
#<alt (+ t (* -1 x))>
#<alt (+ t (* -1 x))>
#<alt (+ t (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ t x) 1))>
#<alt (* x (- (/ t x) 1))>
#<alt (* x (- (/ t x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt x>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (* z (- t x))>
#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- t x))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* t z)))>
#<alt (+ x (+ (* -1 (* x z)) (* t z)))>
#<alt (+ x (+ (* -1 (* x z)) (* t z)))>
#<alt (* t z)>
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))>
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))>
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))>
#<alt (* t z)>
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))>
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))>
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (/ (* z (* (+ t x) (- t x))) y)>
#<alt (* -1 (/ (* (pow x 2) z) y))>
#<alt (+ (* -1 (/ (* (pow x 2) z) y)) (/ (* t (* z (+ x (* -1 x)))) y))>
#<alt (+ (* -1 (/ (* (pow x 2) z) y)) (* t (+ (/ (* t z) y) (/ (* z (+ x (* -1 x))) y))))>
#<alt (+ (* -1 (/ (* (pow x 2) z) y)) (* t (+ (/ (* t z) y) (/ (* z (+ x (* -1 x))) y))))>
#<alt (/ (* (pow t 2) z) y)>
#<alt (* (pow t 2) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y))))>
#<alt (* (pow t 2) (+ (* -1 (/ (* (pow x 2) z) (* (pow t 2) y))) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y)))))>
#<alt (* (pow t 2) (+ (* -1 (/ (* (pow x 2) z) (* (pow t 2) y))) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y)))))>
#<alt (/ (* (pow t 2) z) y)>
#<alt (* (pow t 2) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y))))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* z (+ x (* -1 x))) y)) (/ (* (pow x 2) z) (* t y))) t)) (/ z y)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* z (+ x (* -1 x))) y)) (/ (* (pow x 2) z) (* t y))) t)) (/ z y)))>
#<alt (/ (* (pow t 2) z) y)>
#<alt (+ (/ (* x (* z (+ t (* -1 t)))) y) (/ (* (pow t 2) z) y))>
#<alt (+ (* x (+ (* -1 (/ (* x z) y)) (/ (* z (+ t (* -1 t))) y))) (/ (* (pow t 2) z) y))>
#<alt (+ (* x (+ (* -1 (/ (* x z) y)) (/ (* z (+ t (* -1 t))) y))) (/ (* (pow t 2) z) y))>
#<alt (* -1 (/ (* (pow x 2) z) y))>
#<alt (* (pow x 2) (+ (* -1 (/ z y)) (/ (* z (+ t (* -1 t))) (* x y))))>
#<alt (* (pow x 2) (+ (* -1 (/ z y)) (+ (/ (* z (+ t (* -1 t))) (* x y)) (/ (* (pow t 2) z) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ z y)) (+ (/ (* z (+ t (* -1 t))) (* x y)) (/ (* (pow t 2) z) (* (pow x 2) y)))))>
#<alt (* -1 (/ (* (pow x 2) z) y))>
#<alt (* (pow x 2) (+ (* -1 (/ z y)) (* -1 (/ (* z (+ t (* -1 t))) (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) (* x y))) (/ (* z (+ t (* -1 t))) y)) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) (* x y))) (/ (* z (+ t (* -1 t))) y)) x))))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (/ y (* (+ t x) (- t x)))>
#<alt (* -1 (/ y (pow x 2)))>
#<alt (+ (* -1 (/ y (pow x 2))) (* -1 (/ (* t (* y (+ x (* -1 x)))) (pow x 4))))>
#<alt (+ (* -1 (/ y (pow x 2))) (* t (- (* -1 (* t (+ (/ y (pow x 4)) (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (/ (* y (+ x (* -1 x))) (pow x 4)))))>
#<alt (+ (* -1 (/ y (pow x 2))) (* t (- (* t (- (* -1 (* t (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* (+ x (* -1 x)) (+ (/ y (pow x 4)) (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6)))) (pow x 2))))) (+ (/ y (pow x 4)) (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (/ (* y (+ x (* -1 x))) (pow x 4)))))>
#<alt (/ y (pow t 2))>
#<alt (/ (+ y (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 2))>
#<alt (/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* -1 (* (pow x 2) y))) (pow t 2)))) (/ (* y (+ x (* -1 x))) t)) (pow t 2))>
#<alt (/ (- (+ y (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* -1 (* (pow x 2) y))))) (* (pow x 2) (* y (+ x (* -1 x))))) (pow t 3)))) (+ (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow t 2))) (+ (* -1 (/ (* (pow x 2) y) (pow t 2))) (/ (* y (+ x (* -1 x))) t)))) (pow t 2))>
#<alt (/ y (pow t 2))>
#<alt (/ (+ y (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 2))>
#<alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) t)) (* y (+ x (* -1 x)))) t))) (pow t 2))>
#<alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) t)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) t)) (* y (+ x (* -1 x)))) t))) (pow t 2))>
#<alt (/ y (pow t 2))>
#<alt (+ (* -1 (/ (* x (* y (+ t (* -1 t)))) (pow t 4))) (/ y (pow t 2)))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ y (pow t 4))) (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) (pow t 6)))))) (/ (* y (+ t (* -1 t))) (pow t 4)))) (/ y (pow t 2)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ t (* -1 t)) (+ (* -1 (/ y (pow t 4))) (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) (pow t 6))))) (pow t 2))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (+ (* -1 (/ y (pow t 4))) (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) (pow t 6)))))) (/ (* y (+ t (* -1 t))) (pow t 4)))) (/ y (pow t 2)))>
#<alt (* -1 (/ y (pow x 2)))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ t (* -1 t))) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y)) (pow x 2)))) (/ (* y (+ t (* -1 t))) x)) (pow x 2))>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (+ (* (+ t (* -1 t)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) (* (pow t 2) (* y (+ t (* -1 t))))) (pow x 3)))) (+ (/ (* y (+ t (* -1 t))) x) (+ (/ (* y (pow (+ t (* -1 t)) 2)) (pow x 2)) (/ (* (pow t 2) y) (pow x 2))))) (pow x 2))>
#<alt (* -1 (/ y (pow x 2)))>
#<alt (/ (+ (* -1 y) (/ (* y (+ t (* -1 t))) x)) (pow x 2))>
#<alt (/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (pow (+ t (* -1 t)) 2)) x) (/ (* (pow t 2) y) x)) (* y (+ t (* -1 t)))) x))) (pow x 2))>
#<alt (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ t (* -1 t)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) x) (/ (* (pow t 2) (* y (+ t (* -1 t)))) x)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) x)) (* y (+ t (* -1 t)))) x))) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* t (+ x (* -1 x))))>
#<alt (+ (* -1 (pow x 2)) (* t (+ t (+ x (* -1 x)))))>
#<alt (+ (* -1 (pow x 2)) (* t (+ t (+ x (* -1 x)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (/ x t))))>
#<alt (* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (/ x t)))))>
#<alt (* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (/ x t)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (/ x t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) t)) t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) t)) t))))>
#<alt (pow t 2)>
#<alt (+ (* x (+ t (* -1 t))) (pow t 2))>
#<alt (+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2))>
#<alt (+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ t x)) (/ t x)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ t x)) (+ (/ t x) (/ (pow t 2) (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ t x)) (+ (/ t x) (/ (pow t 2) (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ t (* -1 t)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (pow t 2) x)))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (pow t 2) x)))) x)) 1))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* 2 (/ t y))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y (+ t x))>
#<alt (/ y x)>
#<alt (+ (* -1 (/ (* t y) (pow x 2))) (/ y x))>
#<alt (+ (* t (- (/ (* t y) (pow x 3)) (/ y (pow x 2)))) (/ y x))>
#<alt (+ (* t (- (* t (- (* -1 (/ (* t y) (pow x 4))) (* -1 (/ y (pow x 3))))) (/ y (pow x 2)))) (/ y x))>
#<alt (/ y t)>
#<alt (/ (+ y (* -1 (/ (* x y) t))) t)>
#<alt (/ (- (+ y (/ (* (pow x 2) y) (pow t 2))) (/ (* x y) t)) t)>
#<alt (/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow t 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow t 2))) (/ (* x y) t))) t)>
#<alt (/ y t)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* x y) t)) t))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow x 2) y) t) (* x y)) t))) t))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) t) (* (pow x 2) y)) t)) (* x y)) t))) t))>
#<alt (/ y t)>
#<alt (+ (* -1 (/ (* x y) (pow t 2))) (/ y t))>
#<alt (+ (* x (- (/ (* x y) (pow t 3)) (/ y (pow t 2)))) (/ y t))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow t 4))) (* -1 (/ y (pow t 3))))) (/ y (pow t 2)))) (/ y t))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* t y) x))) x)>
#<alt (/ (- (+ y (/ (* (pow t 2) y) (pow x 2))) (/ (* t y) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* (pow t 3) y) (pow x 3)))) (+ (* -1 (/ (* (pow t 2) y) (pow x 2))) (/ (* t y) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* t y) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow t 2) y) x) (* t y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) y) x) (* (pow t 2) y)) x)) (* t y)) x))) x))>

Calls

156 calls:

Time	Variable		Point	Expression
48.0ms	t	@	-inf	(/ z (/ y (* (+ t x) (- t x))))
32.0ms	t	@	inf	(+ (* z (* x (+ (/ t x) -1))) x)
7.0ms	y	@	inf	(* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2)))))
3.0ms	y	@	-inf	(+ (* (* (- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y))) y) z) x)
3.0ms	y	@	inf	(+ (* (* (- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y))) y) z) x)

rewrite404.0ms (3.2%)

Memory

10.2MiB live, 719.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 080×	`-lowering-.f32`
5 080×	`-lowering-.f64`
4 466×	`/-lowering-/.f32`
4 466×	`/-lowering-/.f64`
2 362×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	205
1	262	197
2	2510	195
0	8915	181

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 712

Calls

Call 1

Inputs
(* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2)))))
(+ (* (* (- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y))) y) z) x)
(* (- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y))) y)
(- (* (- (exp (* (/ t y) 2)) 1) (/ 1 (+ 1 (exp (* (/ t y) 2))))) (tanh (/ x y)))
(* z t)
(* x (+ (/ t x) -1))
(+ (* z (* x (+ (/ t x) -1))) x)
(+ (/ t x) -1)
(/ t x)
(* (/ 1 y) (* y z))
(+ (* (- t x) (* (/ 1 y) (* y z))) x)
(- t x)
(/ 1 y)
(+ (* (/ z (/ y (* (+ t x) (- t x)))) (/ y (+ t x))) x)
(/ z (/ y (* (+ t x) (- t x))))
(/ y (* (+ t x) (- t x)))
(* (+ t x) (- t x))
(* (/ t y) 2)
(* y z)
(/ y (+ t x))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) (expm1.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64)))))
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(.f64 (.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 t x) (+.f64 t x)) (/.f64 z y))
(.f64 (/.f64 z y) (.f64 (-.f64 t x) (+.f64 t x)))
(.f64 (.f64 (/.f64 z y) (-.f64 t x)) (+.f64 t x))
(.f64 (.f64 (/.f64 z y) (+.f64 t x)) (-.f64 t x))
(.f64 (/.f64 z #s(literal 1 binary64)) (.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))
(*.f64 (/.f64 z (/.f64 y (+.f64 t x))) (-.f64 t x))
(.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x)))))
(/.f64 y (*.f64 (-.f64 t x) (+.f64 t x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t x) (/.f64 y (+.f64 t x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 t x) (/.f64 y (+.f64 t x)))))
(/.f64 (/.f64 y (+.f64 t x)) (-.f64 t x))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x))))
(/.f64 (neg.f64 (/.f64 y (+.f64 t x))) (neg.f64 (-.f64 t x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x)))))
(/.f64 (/.f64 y (-.f64 t x)) (+.f64 t x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (neg.f64 (*.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 y (+.f64 t x)))) (neg.f64 (neg.f64 (-.f64 t x))))
(/.f64 (neg.f64 (/.f64 y (-.f64 t x))) (-.f64 #s(literal 0 binary64) (+.f64 t x)))
(pow.f64 (/.f64 y (*.f64 (-.f64 t x) (+.f64 t x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 t x) (/.f64 y (+.f64 t x))) #s(literal -1 binary64))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (-.f64 t x) (+.f64 t x))))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 t x) (+.f64 t x))))
(*.f64 (/.f64 y (+.f64 t x)) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (pow.f64 (/.f64 (-.f64 t x) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 t x) (+.f64 t x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y (+.f64 t x)))
(.f64 (/.f64 (/.f64 y (+.f64 t x)) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x))) (fma.f64 t t (.f64 x (+.f64 t x))))
(.f64 (/.f64 (/.f64 y (+.f64 t x)) (.f64 (-.f64 t x) (+.f64 t x))) (+.f64 t x))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x)))))
(+.f64 (.f64 t t) (.f64 (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (.f64 t t) (neg.f64 (.f64 x x)))
(+.f64 (.f64 (-.f64 t x) t) (.f64 (-.f64 t x) x))
(+.f64 (.f64 (-.f64 t x) x) (.f64 (-.f64 t x) t))
(+.f64 (.f64 (+.f64 t x) t) (.f64 (+.f64 t x) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 t (-.f64 t x)) (.f64 x (-.f64 t x)))
(+.f64 (.f64 x (-.f64 t x)) (.f64 t (-.f64 t x)))
(+.f64 (.f64 t (+.f64 t x)) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 t x)))
(-.f64 (.f64 t t) (.f64 x x))
(fma.f64 t t (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 t t (neg.f64 (*.f64 x x)))
(fma.f64 t (-.f64 t x) (*.f64 x (-.f64 t x)))
(fma.f64 t (+.f64 t x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 t x)))
(fma.f64 x (-.f64 t x) (*.f64 t (-.f64 t x)))
(fma.f64 (-.f64 t x) t (*.f64 (-.f64 t x) x))
(fma.f64 (-.f64 t x) x (*.f64 (-.f64 t x) t))
(fma.f64 (+.f64 t x) t (*.f64 (+.f64 t x) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x)))) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (-.f64 x t)))))
(/.f64 (.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 (-.f64 t x) (+.f64 t x))) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)))
(/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x)))) (.f64 (+.f64 t x) (fma.f64 t t (*.f64 x (-.f64 x t)))))
(/.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x))) (.f64 (fma.f64 t t (.f64 x (-.f64 x t))) (fma.f64 t t (*.f64 x (+.f64 t x)))))
(/.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))) (.f64 (-.f64 t x) (+.f64 t x))) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))))
(/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x))) (.f64 (-.f64 t x) (fma.f64 t t (.f64 x (+.f64 t x)))))
(/.f64 (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 t t) (.f64 t t) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 t t) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 t t (*.f64 x x)))
(/.f64 (.f64 (-.f64 t x) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t))))
(/.f64 (.f64 (-.f64 t x) (.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))
(/.f64 (.f64 (+.f64 t x) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x))) (fma.f64 t t (.f64 x (+.f64 t x))))
(/.f64 (.f64 (+.f64 t x) (.f64 (-.f64 t x) (+.f64 t x))) (+.f64 t x))
(/.f64 (.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (+.f64 t x)) (fma.f64 t t (.f64 x (+.f64 t x))))
(/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) (+.f64 t x))
(/.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (-.f64 x t))))
(/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (-.f64 t x)) (-.f64 t x))
(/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (.f64 (-.f64 t x) (+.f64 t x))) (.f64 (-.f64 t x) (+.f64 t x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 t t) (.f64 t t) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 t t) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))))) (neg.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (-.f64 x t))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 (-.f64 t x) (+.f64 t x)))) (neg.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))))) (neg.f64 (.f64 (+.f64 t x) (fma.f64 t t (*.f64 x (-.f64 x t))))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (.f64 (-.f64 t x) (+.f64 t x)))) (.f64 (-.f64 t x) (-.f64 #s(literal 0 binary64) (+.f64 t x))))
(/.f64 (neg.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)))) (neg.f64 (.f64 (fma.f64 t t (.f64 x (-.f64 x t))) (fma.f64 t t (*.f64 x (+.f64 t x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))) (.f64 (-.f64 t x) (+.f64 t x)))) (neg.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)))) (neg.f64 (.f64 (-.f64 t x) (fma.f64 t t (.f64 x (+.f64 t x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (fma.f64 t t (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 t x) (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 t t (*.f64 x (-.f64 x t)))))
(/.f64 (neg.f64 (.f64 (-.f64 t x) (.f64 (-.f64 t x) (+.f64 t x)))) (neg.f64 (-.f64 t x)))
(/.f64 (neg.f64 (.f64 (+.f64 t x) (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)))) (neg.f64 (fma.f64 t t (.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (.f64 (+.f64 t x) (.f64 (-.f64 t x) (+.f64 t x)))) (-.f64 #s(literal 0 binary64) (+.f64 t x)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (+.f64 t x))) (neg.f64 (fma.f64 t t (.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x))) (-.f64 #s(literal 0 binary64) (+.f64 t x)))
(/.f64 (neg.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 x (.f64 x x))) (-.f64 t x))) (neg.f64 (fma.f64 t t (*.f64 x (-.f64 x t)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 t x) (+.f64 t x)) (-.f64 t x))) (neg.f64 (-.f64 t x)))
(*.f64 (-.f64 t x) (+.f64 t x))
(*.f64 (+.f64 t x) (-.f64 t x))
(log.f64 (exp.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 t y) (/.f64 t y))
(+.f64 (/.f64 t y) (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (/.f64 t y)))) (/.f64 t y))
(fma.f64 t (/.f64 #s(literal 1 binary64) y) (/.f64 t y))
(fma.f64 t (/.f64 #s(literal 1 binary64) y) (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 t (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 t (/.f64 #s(literal 2 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 t y) (log.f64 (exp.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (/.f64 t y))
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (/.f64 t y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 t)) (/.f64 t y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 t)) (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 t y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) y) (/.f64 t y))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) y) (log.f64 (*.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 t y))
(fma.f64 (.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (log.f64 (.f64 (exp.f64 (/.f64 t y)) #s(literal 1 binary64))))
(fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 y t))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 t #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 y t)))
(/.f64 (*.f64 t #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (*.f64 t #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 t #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) t))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 y (*.f64 t #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 t (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(*.f64 t (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(*.f64 (/.f64 t y) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 t y))
(.f64 (.f64 t #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 y z)
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 z y)
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 (.f64 #s(literal 1 binary64) y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 t x) y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (+.f64 t x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 t x)))
(/.f64 y (+.f64 t x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t x) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 t x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 t x) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 t x) y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 t x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 t x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 t x)))))
(pow.f64 (/.f64 (+.f64 t x) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 t x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 t x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 t x)))
(.f64 (/.f64 y (.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) y)
(.f64 (/.f64 y (fma.f64 t (.f64 t t) (.f64 x (.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t))))

simplify581.0ms (4.6%)

Memory

33.0MiB live, 1 015.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 316×	`accelerator-lowering-fma.f32`
9 316×	`accelerator-lowering-fma.f64`
6 114×	`+-lowering-+.f64`
6 114×	`+-lowering-+.f32`
5 112×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1048	13081
1	3463	11568
0	9277	11146

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(/ t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* 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)))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
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(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
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(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(/ (* z (* (+ t x) (- t x))) y)
(* -1 (/ (* (pow x 2) z) y))
(+ (* -1 (/ (* (pow x 2) z) y)) (/ (* t (* z (+ x (* -1 x)))) y))
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(* (pow t 2) (+ (* -1 (/ (* (pow x 2) z) (* (pow t 2) y))) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y)))))
(* (pow t 2) (+ (* -1 (/ (* (pow x 2) z) (* (pow t 2) y))) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y)))))
(/ (* (pow t 2) z) y)
(* (pow t 2) (+ (/ z y) (/ (* z (+ x (* -1 x))) (* t y))))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* z (+ x (* -1 x))) y)) (/ (* (pow x 2) z) (* t y))) t)) (/ z y)))
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* z (+ x (* -1 x))) y)) (/ (* (pow x 2) z) (* t y))) t)) (/ z y)))
(/ (* (pow t 2) z) y)
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(+ (* x (+ (* -1 (/ (* x z) y)) (/ (* z (+ t (* -1 t))) y))) (/ (* (pow t 2) z) y))
(+ (* x (+ (* -1 (/ (* x z) y)) (/ (* z (+ t (* -1 t))) y))) (/ (* (pow t 2) z) y))
(* -1 (/ (* (pow x 2) z) y))
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(* (pow x 2) (+ (* -1 (/ z y)) (+ (/ (* z (+ t (* -1 t))) (* x y)) (/ (* (pow t 2) z) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1 (/ z y)) (+ (/ (* z (+ t (* -1 t))) (* x y)) (/ (* (pow t 2) z) (* (pow x 2) y)))))
(* -1 (/ (* (pow x 2) z) y))
(* (pow x 2) (+ (* -1 (/ z y)) (* -1 (/ (* z (+ t (* -1 t))) (* x y)))))
(* (pow x 2) (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) (* x y))) (/ (* z (+ t (* -1 t))) y)) x))))
(* (pow x 2) (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) (* x y))) (/ (* z (+ t (* -1 t))) y)) x))))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(/ y (* (+ t x) (- t x)))
(* -1 (/ y (pow x 2)))
(+ (* -1 (/ y (pow x 2))) (* -1 (/ (* t (* y (+ x (* -1 x)))) (pow x 4))))
(+ (* -1 (/ y (pow x 2))) (* t (- (* -1 (* t (+ (/ y (pow x 4)) (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (/ (* y (+ x (* -1 x))) (pow x 4)))))
(+ (* -1 (/ y (pow x 2))) (* t (- (* t (- (* -1 (* t (+ (/ (* y (+ x (* -1 x))) (pow x 6)) (/ (* (+ x (* -1 x)) (+ (/ y (pow x 4)) (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6)))) (pow x 2))))) (+ (/ y (pow x 4)) (/ (* y (pow (+ x (* -1 x)) 2)) (pow x 6))))) (/ (* y (+ x (* -1 x))) (pow x 4)))))
(/ y (pow t 2))
(/ (+ y (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 2))
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* -1 (* (pow x 2) y))) (pow t 2)))) (/ (* y (+ x (* -1 x))) t)) (pow t 2))
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* y (pow (+ x (* -1 x)) 2))) (* -1 (* (pow x 2) y))))) (* (pow x 2) (* y (+ x (* -1 x))))) (pow t 3)))) (+ (* -1 (/ (* y (pow (+ x (* -1 x)) 2)) (pow t 2))) (+ (* -1 (/ (* (pow x 2) y) (pow t 2))) (/ (* y (+ x (* -1 x))) t)))) (pow t 2))
(/ y (pow t 2))
(/ (+ y (* -1 (/ (* y (+ x (* -1 x))) t))) (pow t 2))
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y)) t)) (* y (+ x (* -1 x)))) t))) (pow t 2))
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) (* (pow x 2) (* y (+ x (* -1 x))))) t)) (+ (* y (pow (+ x (* -1 x)) 2)) (* (pow x 2) y))) t)) (* y (+ x (* -1 x)))) t))) (pow t 2))
(/ y (pow t 2))
(+ (* -1 (/ (* x (* y (+ t (* -1 t)))) (pow t 4))) (/ y (pow t 2)))
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(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ t (* -1 t)) (+ (* -1 (/ y (pow t 4))) (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) (pow t 6))))) (pow t 2))) (/ (* y (+ t (* -1 t))) (pow t 6))))) (+ (* -1 (/ y (pow t 4))) (* -1 (/ (* y (pow (+ t (* -1 t)) 2)) (pow t 6)))))) (/ (* y (+ t (* -1 t))) (pow t 4)))) (/ y (pow t 2)))
(* -1 (/ y (pow x 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ t (* -1 t))) x))) (pow x 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y)) (pow x 2)))) (/ (* y (+ t (* -1 t))) x)) (pow x 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* (+ t (* -1 t)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) (* (pow t 2) (* y (+ t (* -1 t))))) (pow x 3)))) (+ (/ (* y (+ t (* -1 t))) x) (+ (/ (* y (pow (+ t (* -1 t)) 2)) (pow x 2)) (/ (* (pow t 2) y) (pow x 2))))) (pow x 2))
(* -1 (/ y (pow x 2)))
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(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (pow (+ t (* -1 t)) 2)) x) (/ (* (pow t 2) y) x)) (* y (+ t (* -1 t)))) x))) (pow x 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ t (* -1 t)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) x) (/ (* (pow t 2) (* y (+ t (* -1 t)))) x)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) x)) (* y (+ t (* -1 t)))) x))) (pow x 2))
(* -1 (pow x 2))
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(* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (/ x t)))))
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(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) t)) t))))
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) t)) t))))
(pow t 2)
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(+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2))
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(* 2 (/ t y))
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(/ y t)
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(/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow t 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow t 2))) (/ (* x y) t))) t)
(/ y t)
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(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) t) (* (pow x 2) y)) t)) (* x y)) t))) t))
(/ y t)
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(+ (* x (- (* x (- (* -1 (/ (* x y) (pow t 4))) (* -1 (/ y (pow t 3))))) (/ y (pow t 2)))) (/ y t))
(/ y x)
(/ (+ y (* -1 (/ (* t y) x))) x)
(/ (- (+ y (/ (* (pow t 2) y) (pow x 2))) (/ (* t y) x)) x)
(/ (- (+ y (* -1 (/ (* (pow t 3) y) (pow x 3)))) (+ (* -1 (/ (* (pow t 2) y) (pow x 2))) (/ (* t y) x))) x)
(/ y x)
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Outputs
(/ t y)
(/.f64 t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 #s(literal 2/15 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
(* 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 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 #s(literal -17/315 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/ (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* 2 (/ t y)))))
(/.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))
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(/ (- (+ (* -1 y) (* -1 (/ (+ (* (+ t (* -1 t)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) (* (pow t 2) (* y (+ t (* -1 t))))) (pow x 3)))) (+ (/ (* y (+ t (* -1 t))) x) (+ (/ (* y (pow (+ t (* -1 t)) 2)) (pow x 2)) (/ (* (pow t 2) y) (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 t t #s(literal 0 binary64)) (.f64 y (fma.f64 t t #s(literal 0 binary64))))) (.f64 x (.f64 x x)))) (fma.f64 y (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (.f64 y (fma.f64 t t #s(literal 0 binary64))) (.f64 x x)))) (.f64 x x))
(* -1 (/ y (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))
(/ (+ (* -1 y) (/ (* y (+ t (* -1 t))) x)) (pow x 2))
(/.f64 (.f64 y (+.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (.f64 x x))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (pow (+ t (* -1 t)) 2)) x) (/ (* (pow t 2) y) x)) (* y (+ t (* -1 t)))) x))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 y (/.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (/.f64 y x) (.f64 y #s(literal 0 binary64)))) x)) (.f64 x x))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ t (* -1 t)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) x) (/ (* (pow t 2) (* y (+ t (* -1 t)))) x)) (+ (* y (pow (+ t (* -1 t)) 2)) (* (pow t 2) y))) x)) (* y (+ t (* -1 t)))) x))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (/.f64 (.f64 y #s(literal 0 binary64)) x) (/.f64 (.f64 (.f64 y (fma.f64 t t #s(literal 0 binary64))) #s(literal 0 binary64)) x)) (.f64 y (fma.f64 t t #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x)) (.f64 y #s(literal 0 binary64))) x)) (.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+ (* -1 (pow x 2)) (* t (+ x (* -1 x))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+ (* -1 (pow x 2)) (* t (+ t (+ x (* -1 x)))))
(fma.f64 t t (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+ (* -1 (pow x 2)) (* t (+ t (+ x (* -1 x)))))
(fma.f64 t t (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow t 2)
(fma.f64 t t #s(literal 0 binary64))
(* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (/ x t))))
(fma.f64 t t #s(literal 0 binary64))
(* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (/ x t)))))
(.f64 (fma.f64 t t #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))))
(* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (/ x t)))))
(.f64 (fma.f64 t t #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))))
(pow t 2)
(fma.f64 t t #s(literal 0 binary64))
(* (pow t 2) (+ 1 (+ (* -1 (/ x t)) (/ x t))))
(fma.f64 t t #s(literal 0 binary64))
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) t)) t))))
(.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) t) #s(literal 0 binary64)) t)))
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) t)) t))))
(.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) t) #s(literal 0 binary64)) t)))
(pow t 2)
(fma.f64 t t #s(literal 0 binary64))
(+ (* x (+ t (* -1 t))) (pow t 2))
(fma.f64 t t #s(literal 0 binary64))
(+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2))
(fma.f64 t t (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2))
(fma.f64 t t (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ t x)) (/ t x)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ t x)) (+ (/ t x) (/ (pow t 2) (pow x 2)))) 1))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(* (pow x 2) (- (+ (* -1 (/ t x)) (+ (/ t x) (/ (pow t 2) (pow x 2)))) 1))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ t (* -1 t)) x)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (pow t 2) x)))) x)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (pow t 2) x)))) x)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* 2 (/ t y))
(*.f64 (/.f64 t y) #s(literal 2 binary64))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y (+ t x))
(/.f64 y (+.f64 t x))
(/ y x)
(/.f64 y x)
(+ (* -1 (/ (* t y) (pow x 2))) (/ y x))
(fma.f64 t (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))) (/.f64 y x))
(+ (* t (- (/ (* t y) (pow x 3)) (/ y (pow x 2)))) (/ y x))
(fma.f64 t (-.f64 (/.f64 (.f64 t y) (.f64 x (.f64 x x))) (/.f64 y (.f64 x x))) (/.f64 y x))
(+ (* t (- (* t (- (* -1 (/ (* t y) (pow x 4))) (* -1 (/ y (pow x 3))))) (/ y (pow x 2)))) (/ y x))
(fma.f64 t (-.f64 (.f64 t (fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 y (.f64 (.f64 x x) (.f64 x x))) (/.f64 y (.f64 x (.f64 x x))))) (/.f64 y (*.f64 x x))) (/.f64 y x))
(/ y t)
(/.f64 y t)
(/ (+ y (* -1 (/ (* x y) t))) t)
(/.f64 (-.f64 y (/.f64 (*.f64 y x) t)) t)
(/ (- (+ y (/ (* (pow x 2) y) (pow t 2))) (/ (* x y) t)) t)
(/.f64 (-.f64 (fma.f64 (.f64 x x) (/.f64 y (fma.f64 t t #s(literal 0 binary64))) y) (/.f64 (.f64 y x) t)) t)
(/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow t 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow t 2))) (/ (* x y) t))) t)
(/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 t (fma.f64 t t #s(literal 0 binary64))))) y) (-.f64 (/.f64 (.f64 y x) t) (/.f64 (.f64 y (.f64 x x)) (fma.f64 t t #s(literal 0 binary64))))) t)
(/ y t)
(/.f64 y t)
(* -1 (/ (+ (* -1 y) (/ (* x y) t)) t))
(/.f64 (-.f64 (/.f64 (*.f64 y x) t) y) (-.f64 #s(literal 0 binary64) t))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow x 2) y) t) (* x y)) t))) t))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 y (.f64 x x)) t) (*.f64 y x)) (-.f64 #s(literal 0 binary64) t)) y) (-.f64 #s(literal 0 binary64) t))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) t) (* (pow x 2) y)) t)) (* x y)) t))) t))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 y t) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) (-.f64 #s(literal 0 binary64) t)) (*.f64 y x)) t)) (-.f64 #s(literal 0 binary64) t))
(/ y t)
(/.f64 y t)
(+ (* -1 (/ (* x y) (pow t 2))) (/ y t))
(fma.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 t t #s(literal 0 binary64)))) (/.f64 y t))
(+ (* x (- (/ (* x y) (pow t 3)) (/ y (pow t 2)))) (/ y t))
(fma.f64 x (fma.f64 x (/.f64 y (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 t t #s(literal 0 binary64))))) (/.f64 y t))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow t 4))) (* -1 (/ y (pow t 3))))) (/ y (pow t 2)))) (/ y t))
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (pow.f64 t #s(literal 4 binary64)))) (/.f64 y (*.f64 t (fma.f64 t t #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 t t #s(literal 0 binary64))))) (/.f64 y t))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* t y) x))) x)
(/.f64 (-.f64 y (*.f64 t (/.f64 y x))) x)
(/ (- (+ y (/ (* (pow t 2) y) (pow x 2))) (/ (* t y) x)) x)
(/.f64 (-.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (/.f64 y (.f64 x x)) y) (.f64 t (/.f64 y x))) x)
(/ (- (+ y (* -1 (/ (* (pow t 3) y) (pow x 3)))) (+ (* -1 (/ (* (pow t 2) y) (pow x 2))) (/ (* t y) x))) x)
(/.f64 (-.f64 (fma.f64 (.f64 t (fma.f64 t t #s(literal 0 binary64))) (/.f64 y (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) y) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x x))) (*.f64 t (/.f64 y x)))) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (* t y) x)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t (/.f64 y x) (-.f64 #s(literal 0 binary64) y)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow t 2) y) x) (* t y)) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 (/.f64 (.f64 y (fma.f64 t t #s(literal 0 binary64))) x) (.f64 t y)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) y) x) (* (pow t 2) y)) x)) (* t y)) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 (.f64 t (fma.f64 t t #s(literal 0 binary64))) (/.f64 y x)) (.f64 y (fma.f64 t t #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x)) (.f64 t y)) x)) (-.f64 #s(literal 0 binary64) x))

eval242.0ms (1.9%)

Memory: -24.7MiB live, 434.2MiB allocated
Compiler: Compiled 50 164 to 4 429 computations (91.2% saved)

prune433.0ms (3.4%)

Memory

-18.2MiB live, 311.9MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 446	11	1 457
Fresh	5	14	19
Picked	3	2	5
Done	0	3	3
Total	1 454	30	1 484

Accuracy

100.0%

Counts

1 484 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z x)
	36.8%	(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) y)) x)
	30.1%	(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 #s(literal 0 binary64) x)))) (/.f64 y (+.f64 t x)) x)
	51.6%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y z) (-.f64 t x)) x)
	58.7%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	54.7%	(fma.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y z))) x)
▶	57.7%	(fma.f64 (-.f64 t x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
	53.1%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) z) y x)
	54.3%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
✓	79.4%	(fma.f64 (.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y) z x)
	70.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	98.1%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	39.7%	(fma.f64 (.f64 (.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) z) (/.f64 y (+.f64 t x)) x)
	45.2%	(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
✓	61.2%	(fma.f64 z (-.f64 t x) x)
	52.4%	(fma.f64 z (+.f64 (-.f64 t x) (/.f64 (fma.f64 t (.f64 t #s(literal 1/2 binary64)) (.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal -1/2 binary64))) y)) x)
	56.2%	(fma.f64 z (*.f64 x (/.f64 t x)) x)
▶	57.7%	(fma.f64 z t x)
	54.3%	(fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	52.8%	(+.f64 (/.f64 (.f64 y (.f64 z (-.f64 t x))) y) x)
	41.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
▶	51.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
▶	29.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x))))))
	18.1%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y (.f64 z (-.f64 t x))) (.f64 y (.f64 z (-.f64 t x)))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))))
	26.4%	(.f64 (.f64 x z) (+.f64 (/.f64 t x) #s(literal -1 binary64)))
	29.5%	(*.f64 z (-.f64 t x))
	52.0%	(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
✓	20.5%	(*.f64 z t)
	48.3%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	55.7%	x

Compiler

Compiled 967 to 552 computations (42.9% saved)

simplify403.0ms (3.2%)

Memory

1.2MiB live, 353.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(-.f64 (.f64 t y) (.f64 y x))
✓	cost-diff	640	(/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x))))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x)))))
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(fma.f64 (-.f64 t x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	1024	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 t y))
✓	cost-diff	0	(fma.f64 z t x)
✓	cost-diff	0	(-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y)
✓	cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z x)

Rules

5 304×	`-lowering-.f32`
5 304×	`-lowering-.f64`
4 470×	`accelerator-lowering-fma.f32`
4 470×	`accelerator-lowering-fma.f64`
3 042×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	136	296
2	445	272
3	1743	266
0	8320	258

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize303.0ms (2.4%)

Memory

1.7MiB live, 321.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x))))
✓	accuracy	97.5%	(-.f64 (.f64 t y) (.f64 y x))
✓	accuracy	74.8%	(.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x)))))
✓	accuracy	60.1%	(/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x)))
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(fma.f64 (-.f64 t x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	accuracy	77.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y)
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
✓	accuracy	76.1%	(.f64 (.f64 y z) (/.f64 t y))
✓	accuracy	100.0%	(fma.f64 z t x)
✓	accuracy	99.8%	(pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))
✓	accuracy	99.8%	(pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64))
✓	accuracy	92.2%	(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y)
✓	accuracy	83.4%	(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))

Samples

123.0ms	179×	0	valid
86.0ms	72×	2	valid
2.0ms	4×	1	valid
2.0ms	1×	4	valid

Compiler

Compiled 324 to 43 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-div: 94.0ms (58% of total)

ival-mult: 24.0ms (14.8% of total)

ival-pow: 13.0ms (8% of total)

ival-add: 11.0ms (6.8% of total)

adjust: 7.0ms (4.3% of total)

ival-sub: 5.0ms (3.1% of total)

ival-pow2: 4.0ms (2.5% of total)

ival-tanh: 4.0ms (2.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series310.0ms (2.4%)

Memory

-5.2MiB live, 270.2MiB allocated

Counts

19 → 648

Calls

Call 1

Inputs
#<alt (+ (* (/ (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y) (+ (* (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y)))) (pow (tanh (/ t y)) 2))) z) x)>
#<alt (/ (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y) (+ (* (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y)))) (pow (tanh (/ t y)) 2)))>
#<alt (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y)>
#<alt (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))>
#<alt (+ (* z t) x)>
#<alt (* (* y z) (/ t y))>
#<alt (+ x (* (* y z) (/ t y)))>
#<alt (* y z)>
#<alt (/ t y)>
#<alt (* (* (/ 1 y) z) y)>
#<alt (* (/ 1 y) z)>
#<alt (+ (* (- t x) (* (* (/ 1 y) z) y)) x)>
#<alt (- t x)>
#<alt (* (* y z) (/ 1 (/ (* y y) (- (* t y) (* y x)))))>
#<alt (/ 1 (/ (* y y) (- (* t y) (* y x))))>
#<alt (/ (* y y) (- (* t y) (* y x)))>
#<alt (- (* t y) (* y x))>
#<alt (pow (tanh (/ t y)) 3)>
#<alt (pow (tanh (/ t y)) 2)>

Outputs
#<alt (+ x (* -1 (/ (* y (* z (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 2))) (* (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 2) (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))))>
#<alt (+ x (+ (* -1 (/ (* y (* z (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 2))) (* (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 2) (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (/ (* t (* y (* z (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))))) (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2)))))>
#<alt (+ x (+ (* -1 (/ (* y (* z (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 2))) (* (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 2) (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (* t (- (* -1 (* t (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (* y (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2))))) (/ (* y (* z (pow (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) 2))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 3))))) (* -1 (/ (* y (* z (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2))))))))>
#<alt (+ x (+ (* -1 (/ (* y (* z (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 2))) (* (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 2) (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (* t (- (* t (- (* t (- (/ (* z (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (* (pow y 2) (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (+ (* -1 (/ (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (* (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (* y (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2))))) (/ (* y (* z (pow (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) 2))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 3))) (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (+ (* 1/3 (/ (* z (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 2)) (* (pow y 2) (* (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 2) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2))))) (/ (* z (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* y (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 3))))))) (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (* y (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2))))) (/ (* y (* z (pow (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) 2))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 3))))) (* -1 (/ (* y (* z (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (/ (exp (/ x y)) (* y (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* y (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) (* (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) (pow (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) 2))))))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
#<alt (+ x (/ (* y (* z (- (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 3) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 3)) (/ (pow (- (exp (/ x y)) (/ 1 (exp (/ x y)))) 3) (pow (+ (exp (/ x y)) (/ 1 (exp (/ x y)))) 3))))) (+ (/ (* (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (- (+ (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2)))))>
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#<alt (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2))>
#<alt (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2))>
#<alt (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2))>
#<alt (/ (pow (- (exp (/ t y)) (/ 1 (exp (/ t y)))) 2) (pow (+ (exp (/ t y)) (/ 1 (exp (/ t y)))) 2))>
#<alt (/ (pow t 2) (pow y 2))>
#<alt (/ (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) y) (pow t 2)) (pow y 2))>
#<alt (/ (+ (* 1/4 (/ (pow (+ (* -1 (pow t 2)) (pow t 2)) 2) (pow y 2))) (+ (* 2 (/ (* t (- (* 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))) (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) y) (pow t 2)))) (pow y 2))>
#<alt (/ (+ (* 1/4 (/ (pow (+ (* -1 (pow t 2)) (pow t 2)) 2) (pow y 2))) (+ (* 2 (/ (* 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)))))) (+ (* -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))) (+ (* 2 (/ (* t (- (* 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))) (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) y) (+ (/ (* (+ (* -1 (pow t 2)) (pow t 2)) (- (* 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 3)) (pow t 2)))))) (pow y 2))>
#<alt (/ (pow t 2) (pow y 2))>
#<alt (/ (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) y) (pow t 2)) (pow y 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (/ (+ (* -2 (* t (- (* 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))))) (* 1/4 (pow (+ (* -1 (pow t 2)) (pow t 2)) 2))) y))) y)) (pow t 2)) (pow y 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (/ (+ (* -2 (* t (- (* 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 (* t (- (* 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 (pow t 2)) (pow t 2)) (- (* 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)) (* 1/4 (pow (+ (* -1 (pow t 2)) (pow t 2)) 2)))) y))) y)) (pow t 2)) (pow y 2))>

Calls

162 calls:

Time	Variable		Point	Expression
44.0ms	y	@	inf	(/ (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y) (+ (* (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y)))) (pow (tanh (/ t y)) 2)))
43.0ms	y	@	-inf	(+ (* (/ (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y) (+ (* (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y)))) (pow (tanh (/ t y)) 2))) z) x)
28.0ms	x	@	inf	(/ (* y y) (- (* t y) (* y x)))
24.0ms	t	@	-inf	(+ (* (/ (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y) (+ (* (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y)))) (pow (tanh (/ t y)) 2))) z) x)
22.0ms	y	@	inf	(+ (* (/ (* (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) y) (+ (* (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y)))) (pow (tanh (/ t y)) 2))) z) x)

rewrite571.0ms (4.5%)

Memory

16.3MiB live, 716.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 518×	`/-lowering-/.f32`
4 518×	`/-lowering-/.f64`
4 084×	`-lowering-.f32`
4 084×	`-lowering-.f64`
3 246×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	215
1	286	147
2	2642	127
0	8634	123

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 870

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z))
(+.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 2 binary64)) (fma.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z))) (/.f64 (pow.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z))))
(fma.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 (/.f64 y (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z) x)
(fma.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)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z) x)
(fma.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)))) (/.f64 z (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 z (/.f64 #s(literal 1 binary64) (*.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)))))) x)
(fma.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 y (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x)
(fma.f64 (/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (.f64 y z)) (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) x)
(fma.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (/.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) x)
(fma.f64 (/.f64 y (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 6 binary64)))) (/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) x)
(fma.f64 (/.f64 y (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 4 binary64)))) (/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) x)
(fma.f64 (/.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)))) (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 6 binary64)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) x)
(fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (/.f64 y (-.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) x)
(fma.f64 (/.f64 z (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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)))))) x)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 6 binary64)))) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 4 binary64)))) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) x)
(fma.f64 (/.f64 z (+.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 6 binary64)))) (/.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)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) x)
(fma.f64 (/.f64 z (-.f64 (pow.f64 (.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 4 binary64)))) (/.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)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) x)
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (pow.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z (-.f64 #s(literal 0 binary64) x)) (-.f64 (pow.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (pow.f64 (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z) #s(literal 3 binary64))))))
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(/.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))
(/.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 3 binary64))))
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(/.f64 (neg.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))
(pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (tanh.f64 (/.f64 t y))))
(*.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (tanh.f64 (/.f64 t y)))
(*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3/2 binary64)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3/2 binary64)))
(*.f64 (sinh.f64 (/.f64 t y)) (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (cosh.f64 (/.f64 t y))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tanh.f64 (/.f64 t y)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tanh.f64 (/.f64 t y)))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (pow.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/.f64 (.f64 (tanh.f64 (/.f64 t y)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (tanh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))
(/.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (tanh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (tanh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(/.f64 (neg.f64 (pow.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (tanh.f64 (/.f64 t y)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (tanh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (tanh.f64 (/.f64 t y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) (tanh.f64 (/.f64 t y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))
(pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tanh.f64 (/.f64 t y))))
(*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y)))
(*.f64 (sinh.f64 (/.f64 t y)) (/.f64 (tanh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal 2 binary64)))
(.f64 (/.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (cosh.f64 (/.f64 t y))))

simplify705.0ms (5.6%)

Memory

26.6MiB live, 1 468.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 344×	`accelerator-lowering-fma.f32`
7 344×	`accelerator-lowering-fma.f64`
5 996×	`-lowering-.f32`
5 996×	`-lowering-.f64`
3 728×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1474	38343
1	5159	32749
0	8967	31558

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

eval248.0ms (2%)

Memory: -3.2MiB live, 618.5MiB allocated
Compiler: Compiled 73 476 to 4 603 computations (93.7% saved)

prune231.0ms (1.8%)

Memory

18.1MiB live, 377.7MiB allocated

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	1 678	18	1 696
Fresh	10	10	20
Picked	3	2	5
Done	0	5	5
Total	1 691	35	1 726

Accuracy

100.0%

Counts

1 726 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z x)
	30.1%	(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 #s(literal 0 binary64) x)))) (/.f64 y (+.f64 t x)) x)
	25.9%	(fma.f64 (/.f64 z (.f64 y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 t x)))) x)
	51.2%	(fma.f64 (/.f64 t y) (*.f64 y z) x)
	17.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (+.f64 t x)) (.f64 y (-.f64 t x))))) (/.f64 (.f64 y z) (.f64 y (+.f64 t x))) x)
	52.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (-.f64 t x)))) z x)
	58.7%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	61.1%	(fma.f64 (-.f64 t x) (.f64 (.f64 y (/.f64 #s(literal 1 binary64) y)) z) x)
	47.8%	(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
	53.1%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) z) y x)
	54.3%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
✓	79.4%	(fma.f64 (.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y) z x)
	70.5%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	98.1%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	53.4%	(fma.f64 (.f64 t (.f64 y z)) (/.f64 #s(literal 1 binary64) y) x)
✓	61.2%	(fma.f64 z (-.f64 t x) x)
	52.4%	(fma.f64 z (+.f64 (-.f64 t x) (/.f64 (fma.f64 t (.f64 t #s(literal 1/2 binary64)) (.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal -1/2 binary64))) y)) x)
	56.2%	(fma.f64 z (*.f64 x (/.f64 t x)) x)
✓	57.7%	(fma.f64 z t x)
	60.4%	(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 z t))
	53.4%	(fma.f64 t (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
	48.3%	(-.f64 x (*.f64 x z))
	49.3%	(+.f64 x (/.f64 (.f64 z (.f64 y (-.f64 t x))) y))
	53.4%	(+.f64 x (/.f64 (.f64 t (.f64 y z)) y))
	53.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 t (.f64 y z)))))
	41.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
	42.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 (.f64 x x) (/.f64 y (.f64 t t)) (/.f64 (*.f64 x y) t))) t))))
	44.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) x) (*.f64 y t)) x)) x)))))
	18.9%	(+.f64 x (.f64 (.f64 y z) (.f64 (/.f64 (.f64 (.f64 y (+.f64 t x)) (.f64 y (-.f64 t x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 t x))) y))))
	26.4%	(.f64 (.f64 x z) (+.f64 (/.f64 t x) #s(literal -1 binary64)))
	29.5%	(*.f64 z (-.f64 t x))
✓	20.5%	(*.f64 z t)
	51.7%	(*.f64 x (fma.f64 t (/.f64 z x) #s(literal 1 binary64)))
	51.5%	(*.f64 t (+.f64 z (/.f64 x t)))
✓	55.7%	x

Compiler

Compiled 1 440 to 582 computations (59.6% saved)

regimes336.0ms (2.7%)

Memory

-149.8MiB live, 138.9MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
x
(*.f64 z t)
(fma.f64 z t x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 t x))
(-.f64 x (*.f64 x z))
(fma.f64 z (-.f64 t x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 z t))
(*.f64 t (+.f64 z (/.f64 x t)))
(*.f64 x (fma.f64 t (/.f64 z x) #s(literal 1 binary64)))
(*.f64 z (+.f64 t (-.f64 (/.f64 x z) x)))
(fma.f64 z (*.f64 x (/.f64 t x)) x)
(fma.f64 (/.f64 t y) (*.f64 y z) x)
(.f64 (.f64 x z) (+.f64 (/.f64 t x) #s(literal -1 binary64)))
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(+.f64 x (/.f64 (.f64 t (.f64 y z)) y))
(fma.f64 z (*.f64 x (+.f64 (/.f64 t x) #s(literal -1 binary64))) x)
(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) z) y x)
(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (.f64 z (.f64 y (-.f64 t x))) y))
(+.f64 (/.f64 (.f64 y (.f64 z (-.f64 t x))) y) x)
(fma.f64 t (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
(fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
(fma.f64 (.f64 t (.f64 y z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (.f64 y (.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
(fma.f64 (-.f64 t x) (.f64 (.f64 y (/.f64 #s(literal 1 binary64) y)) z) x)
(fma.f64 (-.f64 t x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
(fma.f64 (-.f64 t x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y z) (-.f64 t x)) x)
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 t (.f64 y z)))))
(fma.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y z))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (-.f64 t x)))) z x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (.f64 y z)))))
(fma.f64 z (+.f64 (-.f64 t x) (/.f64 (fma.f64 t (.f64 t #s(literal 1/2 binary64)) (.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal -1/2 binary64))) y)) x)
(fma.f64 (.f64 (.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) z) (/.f64 y (+.f64 t x)) x)
(.f64 (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (.f64 z (-.f64 t x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (-.f64 t x)) x)))
(fma.f64 (/.f64 z (.f64 y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 t x)))) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 t y) (*.f64 y x))))))
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 #s(literal 0 binary64) x)))) (/.f64 y (+.f64 t x)) x)
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 y (+.f64 t x)) x)
(fma.f64 (/.f64 z (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 y (+.f64 t x)) (.f64 y (-.f64 t x))))) (/.f64 (.f64 y z) (.f64 y (+.f64 t x))) x)
(+.f64 x (.f64 (.f64 y z) (.f64 (/.f64 (.f64 (.f64 y (+.f64 t x)) (.f64 y (-.f64 t x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 t x))) y))))
(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 (.f64 x x) (/.f64 y (.f64 t t)) (/.f64 (*.f64 x y) t))) t))))
(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) x) (*.f64 y t)) x)) x)))))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y (.f64 z (-.f64 t x))) (.f64 y (.f64 z (-.f64 t x)))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (.f64 (-.f64 (.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64)))))) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (.f64 (expm1.f64 (/.f64 (.f64 #s(literal 2 binary64) t) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) (tanh.f64 (/.f64 x y)))))
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) z x)

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

Calls

5 calls:

20.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
19.0ms	t
18.0ms	y
16.0ms	x
16.0ms	z

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	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)

regimes86.0ms (0.7%)

Memory

21.1MiB live, 138.4MiB allocated

Counts

55 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	t
19.0ms	x
17.0ms	z
14.0ms	y
14.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
82.8%	3	`x`
83.5%	2	`y`
74.0%	3	`z`
75.4%	3	`t`
81.3%	5	`(+.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)

regimes156.0ms (1.2%)

Memory

-10.6MiB live, 77.9MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs
x
(fma.f64 z (-.f64 t x) x)

Calls

3 calls:

121.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
19.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
72.6%	5	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
69.2%	3	`x`
75.3%	2	`y`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
x
(*.f64 z t)
(fma.f64 z t x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (-.f64 t x))
(-.f64 x (*.f64 x z))

Outputs
x
(fma.f64 z t x)

Calls

3 calls:

3.0ms	y
3.0ms	t
2.0ms	z

Results

Accuracy	Segments	Branch
64.9%	3	`z`
62.0%	2	`t`
70.2%	2	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Memory

-22.7MiB live, 15.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z t)

Outputs
(*.f64 z t)
x
(*.f64 z t)

Calls

4 calls:

5.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	y
2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
59.6%	2	`z`
60.2%	3	`x`
64.4%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
58.0%	2	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
55.7%	1	`y`
55.7%	1	`x`
55.7%	1	`z`
55.7%	1	`t`
55.7%	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)

bsearch19.0ms (0.1%)

Memory

1.7MiB live, 40.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.1153647139364032e-113	5.018517197947036e-105

Samples

10.0ms	141×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 238 to 163 computations (31.5% saved)

Precisions

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

ival-div: 2.0ms (29% of total)

ival-mult: 2.0ms (29% of total)

ival-sub: 1.0ms (14.5% of total)

ival-tanh: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-6.4MiB live, 32.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1030518374.0575486	214294812874.9915

Samples

9.0ms	110×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 141 to 103 computations (27% saved)

Precisions

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

ival-div: 2.0ms (38.4% of total)

ival-mult: 1.0ms (19.2% of total)

ival-tanh: 1.0ms (19.2% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch17.0ms (0.1%)

Memory

-12.1MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1030518374.0575486	214294812874.9915

Samples

12.0ms	111×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 127 to 96 computations (24.4% saved)

Precisions

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

ival-mult: 5.0ms (57.9% of total)

ival-div: 2.0ms (23.2% of total)

ival-tanh: 1.0ms (11.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5015758680378586e+305	+inf
0.0ms	-2.8614058767776056e+301	-2.3634369366818478e+297

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify10.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`+-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	36	94
1	51	94
2	65	94
3	73	94
4	78	94
5	79	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 y #s(literal 2453137384182563/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) x (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x))
(if (<=.f64 y #s(literal 48000000000 binary64)) x (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 54000000000 binary64)) x (fma.f64 z t x))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (.f64 z t) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) x (.f64 z t)))
x

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(if (<=.f64 y #s(literal 2453137384182563/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) x (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x))
(if (<=.f64 y #s(literal 2453137384182563/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) x (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x))
(if (<=.f64 y #s(literal 48000000000 binary64)) x (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 54000000000 binary64)) x (fma.f64 z t x))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (.f64 z t) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) x (.f64 z t)))
(if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (.f64 t z) (if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) x (.f64 t z)))
x

soundness565.0ms (4.5%)

Memory

-0.8MiB live, 542.5MiB allocated

Rules

15 838×	`accelerator-lowering-fma.f32`
15 838×	`accelerator-lowering-fma.f64`
9 934×	`accelerator-lowering-fma.f32`
9 934×	`accelerator-lowering-fma.f64`
5 608×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	773	15424
1	2598	12083
0	9351	11770
0	12	44
1	91	44
2	863	44
0	8202	43
0	439	9242
1	1484	6963
2	6159	6572
0	9215	6439

Stop Event

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

Compiler

Compiled 223 to 116 computations (48% saved)

preprocess150.0ms (1.2%)

Memory: -6.5MiB live, 148.8MiB allocated
Remove: (abs y)
Compiler: Compiled 348 to 164 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze101.0ms (0.8%)

sample1.1s (8.9%)

preprocess487.0ms (3.8%)

explain161.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify453.0ms (3.6%)

localize43.0ms (0.3%)

series56.0ms (0.4%)

rewrite359.0ms (2.8%)

simplify478.0ms (3.8%)

eval65.0ms (0.5%)

prune58.0ms (0.5%)

simplify674.0ms (5.3%)

localize98.0ms (0.8%)

series54.0ms (0.4%)

rewrite917.0ms (7.2%)

simplify634.0ms (5%)

eval215.0ms (1.7%)

prune218.0ms (1.7%)

simplify313.0ms (2.5%)

localize193.0ms (1.5%)

series156.0ms (1.2%)

rewrite404.0ms (3.2%)

simplify581.0ms (4.6%)

eval242.0ms (1.9%)

prune433.0ms (3.4%)

simplify403.0ms (3.2%)

localize303.0ms (2.4%)

series310.0ms (2.4%)

rewrite571.0ms (4.5%)

simplify705.0ms (5.6%)

eval248.0ms (2%)

prune231.0ms (1.8%)

regimes336.0ms (2.7%)

regimes86.0ms (0.7%)

regimes156.0ms (1.2%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch19.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness565.0ms (4.5%)

preprocess150.0ms (1.2%)

end0.0ms (0%)

Profiling