Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze64.0ms (0.5%)

Memory

10.6MiB live, 127.6MiB 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)

sample1.4s (11.5%)

Memory

10.6MiB live, 1 626.5MiB allocated

Samples

784.0ms	8 055×	0	valid
31.0ms	201×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 523.0ms

ival-div: 146.0ms (27.9% of total)

ival-mult: 146.0ms (27.9% of total)

ival-tanh: 91.0ms (17.4% of total)

ival-add: 89.0ms (17% of total)

ival-sub: 40.0ms (7.6% of total)

ival-true: 6.0ms (1.1% of total)

adjust: 3.0ms (0.6% of total)

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

Bogosity

preprocess435.0ms (3.7%)

Memory

-4.4MiB live, 718.1MiB 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)

explain195.0ms (1.7%)

Memory

-11.6MiB live, 344.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
22	-	2	(3.196624279435089e-199 2.2077239435885295e+120 -3092219321482925.5 -4.049191067409082e-268)	`(.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))))`	*ou**	6	0
↳	`(*.f64 y z)`	overflow	26
↳	`(/.f64 t y)`	underflow	36
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	55
↳	`(tanh.f64 (/.f64 x y))`	underflow	31
↳	`(/.f64 x y)`	underflow	31
↳	`(tanh.f64 (/.f64 t y))`	underflow	36
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*no**	5	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	4	0

Confusion

	Predicted +	Predicted -
+	14	1
-	1	240

Precision

0.9333333333333333

Recall

0.9333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	1
-	1	0	240

Precision?

0.9333333333333333

Recall?

0.9333333333333333

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	436×	0	valid
14.0ms	60×	2	valid
3.0ms	16×	1	valid

Compiler

Compiled 158 to 52 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 12.0ms (34.3% of total)

ival-mult: 9.0ms (25.7% of total)

ival-tanh: 6.0ms (17.1% of total)

ival-sub: 3.0ms (8.6% of total)

ival-add: 3.0ms (8.6% of total)

adjust: 2.0ms (5.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB 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
▶	94.4%	(+.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)

simplify381.0ms (3.2%)

Memory

6.8MiB live, 673.8MiB 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)

localize41.0ms (0.3%)

Memory

15.5MiB live, 93.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	92.3%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

20.0ms	218×	0	valid
7.0ms	30×	2	valid
1.0ms	8×	1	valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

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

ival-div: 5.0ms (29.6% of total)

ival-mult: 4.0ms (23.6% of total)

ival-tanh: 3.0ms (17.7% of total)

ival-add: 3.0ms (17.7% of total)

ival-sub: 2.0ms (11.8% of total)

adjust: 1.0ms (5.9% of total)

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

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

series58.0ms (0.5%)

Memory

2.8MiB live, 120.6MiB allocated

Counts

6 → 204

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))>
#<alt (tanh (/ x 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>
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#<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

51 calls:

Time	Variable		Point	Expression
8.0ms	t	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	x	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	t	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite353.0ms (3%)

Memory

-7.3MiB live, 476.2MiB 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	48
1	91	48
2	863	48
0	8202	47

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 312

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

simplify512.0ms (4.3%)

Memory

-28.0MiB live, 909.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 264×	`accelerator-lowering-fma.f32`
13 264×	`accelerator-lowering-fma.f64`
4 518×	`-lowering-.f32`
4 518×	`-lowering-.f64`
4 012×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	10076
1	1678	7475
2	6942	7471
0	8224	7285

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

eval90.0ms (0.8%)

Memory: 6.1MiB live, 200.3MiB allocated
Compiler: Compiled 23 207 to 1 955 computations (91.6% saved)

prune93.0ms (0.8%)

Memory

26.4MiB live, 146.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	510	6	516
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	511	6	517

Accuracy

100.0%

Counts

517 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	56.8%	(fma.f64 z (-.f64 t x) x)
▶	45.6%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
	61.3%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
▶	62.3%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
▶	59.7%	x

Compiler

Compiled 168 to 104 computations (38.1% saved)

simplify329.0ms (2.8%)

Memory

-13.1MiB live, 580.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	cost-diff	640	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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

9 368×	`accelerator-lowering-fma.f32`
9 368×	`accelerator-lowering-fma.f64`
3 108×	`+-lowering-+.f64`
3 108×	`+-lowering-+.f32`
2 904×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	149
1	80	149
2	224	149
3	633	149
4	2116	145
5	7301	143
0	8666	137

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

localize141.0ms (1.2%)

Memory

-9.6MiB live, 185.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	79.8%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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	73.9%	(.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%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	93.1%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Samples

92.0ms	218×	0	valid
14.0ms	30×	2	valid
3.0ms	8×	1	valid

Compiler

Compiled 153 to 24 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 16.0ms (37.9% of total)

ival-mult: 11.0ms (26.1% of total)

ival-add: 5.0ms (11.9% of total)

ival-sub: 4.0ms (9.5% of total)

ival-tanh: 3.0ms (7.1% of total)

adjust: 2.0ms (4.7% of total)

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

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

series50.0ms (0.4%)

Memory

37.1MiB live, 111.5MiB 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) (- (tanh (/ t y)) (/ x y)))>
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (/ x y))))>
#<alt (- (tanh (/ t y)) (/ 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))))))))))>
#<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 (* 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)))>
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#<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 (- (+ (* -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 (- (+ (* -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 (* -1 (/ x y))>
#<alt (* x (- (/ (exp (/ t y)) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 y) (/ 1 (* x (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* x (- (/ (exp (/ t y)) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 y) (/ 1 (* x (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* x (- (/ (exp (/ t y)) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 y) (/ 1 (* x (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) (/ 1 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
8.0ms	z	@	-inf	(* (* y z) (- (tanh (/ t y)) (/ x y)))
3.0ms	z	@	inf	(* (* y z) (- (tanh (/ t y)) (/ x y)))
2.0ms	x	@	0	(tanh (/ x y))
1.0ms	y	@	inf	(* (* y z) (- (tanh (/ t y)) (/ x y)))
1.0ms	y	@	-inf	(* (* y z) (- (tanh (/ t y)) (/ x y)))

rewrite436.0ms (3.7%)

Memory

-7.3MiB live, 721.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`/-lowering-/.f32`
5 364×	`/-lowering-/.f64`
3 982×	`accelerator-lowering-fma.f32`
3 982×	`accelerator-lowering-fma.f64`
3 562×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	171	115
2	1823	115
0	8656	111

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 537

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

simplify1.4s (11.7%)

Memory

-12.8MiB live, 926.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 036×	`accelerator-lowering-fma.f32`
16 036×	`accelerator-lowering-fma.f64`
5 406×	`+-lowering-+.f64`
5 406×	`+-lowering-+.f32`
5 094×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	741	14661
1	2478	11528
0	9199	11238

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

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

eval193.0ms (1.6%)

Memory: 9.4MiB live, 364.1MiB allocated
Compiler: Compiled 35 245 to 2 992 computations (91.5% saved)

prune136.0ms (1.1%)

Memory

27.4MiB live, 419.4MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 159	20	1 179
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 163	22	1 185

Accuracy

100.0%

Counts

1 185 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.1%	(fma.f64 (/.f64 z (/.f64 y (.f64 (fma.f64 x (+.f64 t x) (.f64 t t)) (-.f64 t x)))) (/.f64 y (fma.f64 x (+.f64 t x) (*.f64 t t))) x)
	53.2%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
▶	55.9%	(fma.f64 (-.f64 t x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	61.8%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
▶	64.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	46.2%	(fma.f64 (*.f64 z (/.f64 (-.f64 t x) y)) y x)
	55.6%	(fma.f64 z t x)
▶	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) x)))
	53.7%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	62.3%	(+.f64 x (.f64 (.f64 y z) (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) (tanh.f64 (/.f64 t y)))))
	24.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (.f64 (fma.f64 x (+.f64 t x) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) y)))
	26.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (/.f64 y x) (.f64 (/.f64 y t) #s(literal 1 binary64))) (.f64 (/.f64 y t) (/.f64 y x)))))
	27.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
	42.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
▶	52.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	45.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
	45.6%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
	24.8%	(*.f64 z (-.f64 t x))
▶	17.1%	(*.f64 z t)
	50.5%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	59.7%	x

Compiler

Compiled 709 to 411 computations (42% saved)

simplify318.0ms (2.7%)

Memory

0.2MiB live, 516.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (/.f64 (-.f64 t x) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) x))
✓	cost-diff	1024	(fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) 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 y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	192	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
✓	cost-diff	960	(.f64 (.f64 y z) (/.f64 t y))
✓	cost-diff	-64	(*.f64 z t)
✓	cost-diff	0	(tanh.f64 (/.f64 t y))
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	cost-diff	0	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	cost-diff	640	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y)

Rules

8 366×	`accelerator-lowering-fma.f32`
8 366×	`accelerator-lowering-fma.f64`
4 364×	`-lowering-.f32`
4 364×	`-lowering-.f64`
1 516×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	160
1	81	146
2	223	134
3	596	132
4	2182	130
5	5317	130
0	8234	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize102.0ms (0.9%)

Memory

8.0MiB live, 165.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) x))
✓	accuracy	91.3%	(*.f64 z (/.f64 (-.f64 t x) y))
✓	accuracy	85.8%	(fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) x)
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(fma.f64 (-.f64 t x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
✓	accuracy	80.6%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z))
✓	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	76.4%	(.f64 (.f64 y z) (/.f64 t y))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	accuracy	100.0%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	81.0%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y)

Samples

65.0ms

256×

valid

Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 26.0ms (55.9% of total)

ival-div: 11.0ms (23.6% of total)

ival-add: 5.0ms (10.7% of total)

ival-sub: 2.0ms (4.3% of total)

ival-tanh: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-7.4MiB live, 69.2MiB allocated

Counts

17 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/ 1 (+ (* y (* z (/ (- t x) y))) x))
2.0ms	y	@	0	(+ x (* (* y z) (/ t y)))
1.0ms	y	@	-inf	(* (- (tanh (/ t y)) (/ x y)) y)
1.0ms	x	@	0	(/ 1 (+ (* y (* z (/ (- t x) y))) x))
1.0ms	t	@	inf	(/ 1 (+ (* y (* z (/ (- t x) y))) x))

rewrite361.0ms (3.1%)

Memory

-11.4MiB live, 677.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 548×	`-lowering-.f32`
5 548×	`-lowering-.f64`
4 128×	`/-lowering-/.f32`
4 128×	`/-lowering-/.f64`
3 038×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	127
1	179	111
2	1674	111
0	8573	105

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 768

Calls

Call 1

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

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

simplify542.0ms (4.6%)

Memory

-3.8MiB live, 769.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 472×	`accelerator-lowering-fma.f32`
8 472×	`accelerator-lowering-fma.f64`
5 488×	`-lowering-.f32`
5 488×	`-lowering-.f64`
3 152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	8146
1	2156	7003
2	7826	6971
0	8376	6737

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

eval187.0ms (1.6%)

Memory: 23.4MiB live, 403.8MiB allocated
Compiler: Compiled 32 558 to 3 068 computations (90.6% saved)

prune189.0ms (1.6%)

Memory

-29.2MiB live, 338.6MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1 479	21	1 500
Fresh	6	9	15
Picked	3	2	5
Done	0	2	2
Total	1 488	34	1 522

Accuracy

100.0%

Counts

1 522 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x)
	19.1%	(fma.f64 (/.f64 z (/.f64 y (.f64 (fma.f64 x (+.f64 t x) (.f64 t t)) (-.f64 t x)))) (/.f64 y (fma.f64 x (+.f64 t x) (*.f64 t t))) x)
▶	52.1%	(fma.f64 (/.f64 t y) (*.f64 y z) x)
▶	53.2%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
	57.1%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) t)) x)
	55.4%	(fma.f64 (-.f64 t x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) z) y) x)
	49.5%	(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	49.8%	(fma.f64 (*.f64 (/.f64 t y) z) y x)
▶	61.8%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	64.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	57.1%	(fma.f64 (.f64 t (.f64 y z)) (/.f64 #s(literal 1 binary64) y) x)
▶	55.6%	(fma.f64 z t x)
	58.3%	(fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	29.6%	(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
	28.1%	(/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 t (/.f64 (.f64 z z) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) z)) (.f64 x (+.f64 #s(literal -1 binary64) z))))) (/.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) z)) (.f64 x (+.f64 #s(literal -1 binary64) z))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) z)))))
	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y z) (-.f64 t x)) x)))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (*.f64 t z) y) x)))
	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (-.f64 t x)))) x)))
	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x)))) x)))
▶	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
	59.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	53.7%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	24.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (.f64 (fma.f64 x (+.f64 t x) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) y)))
	27.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
	42.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
	52.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y t))))
	52.1%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) t)))
	24.8%	(*.f64 (-.f64 t x) z)
	46.4%	(*.f64 z (+.f64 t (/.f64 x z)))
✓	17.1%	(*.f64 z t)
	50.5%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	47.5%	(*.f64 t (+.f64 z (/.f64 x t)))
✓	59.7%	x

Compiler

Compiled 1 087 to 628 computations (42.2% saved)

simplify244.0ms (2.1%)

Memory

-18.6MiB live, 444.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	1088	(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	cost-diff	1344	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	1024	(fma.f64 (/.f64 t y) (*.f64 y z) x)
✓	cost-diff	0	(fma.f64 z t x)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	cost-diff	640	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Rules

6 540×	`accelerator-lowering-fma.f32`
6 540×	`accelerator-lowering-fma.f64`
3 648×	`-lowering-.f32`
3 648×	`-lowering-.f64`
1 576×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	135
1	81	129
2	223	127
3	603	121
4	2085	121
5	6482	121
0	8446	117

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize110.0ms (0.9%)

Memory

15.5MiB live, 170.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 t x))
✓	accuracy	91.5%	(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	accuracy	90.6%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	81.6%	(fma.f64 (/.f64 t y) (*.f64 y z) x)
✓	accuracy	100.0%	(fma.f64 z t x)
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	79.0%	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Samples

51.0ms

256×

valid

Compiler

Compiled 141 to 29 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 13.0ms (37.6% of total)

ival-mult: 10.0ms (28.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.5%)

Memory

-2.1MiB live, 34.0MiB allocated

Counts

16 → 492

Calls

Call 1

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

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

Calls

123 calls:

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

rewrite693.0ms (5.9%)

Memory

23.7MiB live, 507.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 352×	`/-lowering-/.f32`
4 352×	`/-lowering-/.f64`
2 160×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	203	98
2	1825	94
0	8891	90

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 707

Calls

Call 1

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

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

simplify591.0ms (5%)

Memory

-2.6MiB live, 709.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 674×	`accelerator-lowering-fma.f32`
8 674×	`accelerator-lowering-fma.f64`
4 332×	`-lowering-.f32`
4 332×	`-lowering-.f64`
3 658×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	7323
1	1992	6306
2	6800	6248
0	8114	6054

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

eval201.0ms (1.7%)

Memory: 25.7MiB live, 329.7MiB allocated
Compiler: Compiled 25 352 to 2 764 computations (89.1% saved)

prune166.0ms (1.4%)

Memory

-32.4MiB live, 375.7MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1 268	19	1 287
Fresh	11	14	25
Picked	3	2	5
Done	0	4	4
Total	1 282	39	1 321

Accuracy

100.0%

Counts

1 321 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) t)) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z x)
	66.8%	(fma.f64 (fma.f64 t #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z x)
	45.6%	(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x)
	51.9%	(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (-.f64 t x))) y x)
	53.3%	(fma.f64 (/.f64 (*.f64 t z) y) y x)
✓	52.1%	(fma.f64 (/.f64 t y) (*.f64 y z) x)
	52.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y t)) (*.f64 y z) x)
	52.3%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 t x) t)) x) #s(literal -1 binary64)) x)) x)
	49.0%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) x)) x)
	49.7%	(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 t x)))) x)
	49.5%	(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	52.1%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) t) (.f64 y z) x)
✓	64.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
✓	55.6%	(fma.f64 z t x)
	53.2%	(fma.f64 y (.f64 (.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) x)
	18.5%	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64)))
	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) x))
	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y z) (-.f64 t x)) x)))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (*.f64 t z) y) x)))
	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (-.f64 t x)))) x)))
	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 t x)))) x)))
	59.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	12.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
	41.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z x)))
	50.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x)))
	53.7%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	24.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (.f64 (fma.f64 x (+.f64 t x) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) y)))
	27.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
	42.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
	50.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) z))
	24.8%	(*.f64 (-.f64 t x) z)
	50.5%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
	46.4%	(*.f64 z (+.f64 t (/.f64 x z)))
✓	17.1%	(*.f64 z t)
	12.6%	(*.f64 x (-.f64 #s(literal 0 binary64) z))
	47.5%	(*.f64 t (+.f64 z (/.f64 x t)))
	23.5%	(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
✓	59.7%	x

Compiler

Compiled 1 421 to 587 computations (58.7% saved)

regimes131.0ms (1.1%)

Memory

24.0MiB live, 183.1MiB allocated

Counts

67 → 2

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	x
33.0ms	z
19.0ms	t
18.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
17.0ms	y

Results

Accuracy	Segments	Branch
96.4%	1	`x`
98.7%	2	`y`
96.4%	1	`z`
96.4%	1	`t`
98.6%	2	`(+.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)

regimes172.0ms (1.5%)

Memory

-11.4MiB live, 182.6MiB allocated

Counts

65 → 3

Calls

Call 1

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

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

Calls

5 calls:

49.0ms	t
42.0ms	x
27.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
26.0ms	y
26.0ms	z

Results

Accuracy	Segments	Branch
82.8%	4	`x`
73.6%	3	`z`
82.0%	4	`t`
80.6%	4	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
84.6%	3	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes19.0ms (0.2%)

Memory

13.0MiB live, 52.2MiB allocated

Counts

58 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
82.9%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes123.0ms (1%)

Memory

-42.1MiB live, 96.5MiB allocated

Counts

56 → 2

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
45.0ms	y
15.0ms	t

Results

Accuracy	Segments	Branch
67.1%	3	`t`
67.6%	3	`x`
78.6%	2	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
x
(fma.f64 z t x)

Calls

2 calls:

3.0ms	y
3.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
69.6%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
72.9%	2	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-16.3MiB live, 23.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z t)

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

Calls

5 calls:

18.0ms	t
2.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
59.7%	1	`t`
59.7%	1	`x`
64.9%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
59.7%	1	`z`
59.7%	1	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes4.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.7%	1	`x`
59.7%	1	`y`
59.7%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch21.0ms (0.2%)

Memory

-16.2MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.1258075109279521e+215	1.7639475781722402e+216

Samples

7.0ms	94×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 202 to 133 computations (34.2% saved)

Precisions

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

ival-div: 1.0ms (22.2% of total)

ival-mult: 1.0ms (22.2% of total)

ival-tanh: 1.0ms (22.2% 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)

bsearch68.0ms (0.6%)

Memory

8.2MiB live, 47.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	3.825139981011283e-41	1.9865619765985002e-36
7.0ms	1.0944380584126156e-97	1.609934747022377e-97

Samples

59.0ms

192×

valid

Compiler

Compiled 414 to 275 computations (33.6% saved)

Precisions

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

ival-div: 3.0ms (33.8% of total)

ival-mult: 2.0ms (22.5% of total)

ival-tanh: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

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

bsearch40.0ms (0.3%)

Memory

0.3MiB live, 39.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	1.9865619765985002e-36	2.033846189886672e-31

Samples

34.0ms	142×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 247 to 181 computations (26.7% saved)

Precisions

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

ival-div: 2.0ms (29.4% of total)

ival-mult: 2.0ms (29.4% of total)

ival-add: 1.0ms (14.7% of total)

ival-sub: 1.0ms (14.7% of total)

ival-tanh: 1.0ms (14.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch42.0ms (0.4%)

Memory

-2.4MiB live, 37.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.9865619765985002e-36	2.033846189886672e-31

Samples

35.0ms	140×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 175 to 127 computations (27.4% saved)

Precisions

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

ival-div: 2.0ms (29.4% of total)

ival-mult: 2.0ms (29.4% of total)

ival-sub: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

ival-tanh: 1.0ms (14.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch17.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9865619765985002e-36	2.033846189886672e-31

Samples

10.0ms	142×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions

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

ival-div: 2.0ms (30.4% of total)

ival-mult: 2.0ms (30.4% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5194552751190114e+306	+inf
0.0ms	-inf	-8.39335480133247e+306

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify30.0ms (0.3%)

Memory

-10.6MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-mul-1_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	139
1	71	139
2	88	139
3	101	139
4	107	139
5	109	139

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 6156563468186637/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) x (if (<=.f64 y #s(literal 8081519453784961/5986310706507378352962293074805895248510699696029696 binary64)) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (fma.f64 (fma.f64 t #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z x)))
(if (<=.f64 y #s(literal 1646235444289529/374144419156711147060143317175368453031918731001856 binary64)) x (fma.f64 (fma.f64 t #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z x))
(if (<=.f64 y #s(literal 4019129502659983/730750818665451459101842416358141509827966271488 binary64)) x (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 3882113724160211/45671926166590716193865151022383844364247891968 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 -inf.0 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 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) x (.f64 z t)))
x

Outputs
(if (<=.f64 y #s(literal 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 6156563468186637/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) x (if (<=.f64 y #s(literal 8081519453784961/5986310706507378352962293074805895248510699696029696 binary64)) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (fma.f64 (fma.f64 t #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z x)))
(if (<=.f64 y #s(literal 6156563468186637/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) x (if (<=.f64 y #s(literal 8081519453784961/5986310706507378352962293074805895248510699696029696 binary64)) (fma.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x) (fma.f64 (fma.f64 t #s(literal 1 binary64) (.f64 (tanh.f64 (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))) z x)))
(if (<=.f64 y #s(literal 1646235444289529/374144419156711147060143317175368453031918731001856 binary64)) x (fma.f64 (fma.f64 t #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z x))
(if (<=.f64 y #s(literal 1646235444289529/374144419156711147060143317175368453031918731001856 binary64)) x (fma.f64 (fma.f64 t #s(literal 1 binary64) (*.f64 (tanh.f64 (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))) z x))
(if (<=.f64 y #s(literal 4019129502659983/730750818665451459101842416358141509827966271488 binary64)) x (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 3882113724160211/45671926166590716193865151022383844364247891968 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 -inf.0 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 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 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 -inf.0 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 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) x (.f64 t z)))
x

soundness964.0ms (8.2%)

Memory

3.6MiB live, 713.8MiB allocated

Rules

16 036×	`accelerator-lowering-fma.f32`
16 036×	`accelerator-lowering-fma.f64`
13 264×	`accelerator-lowering-fma.f32`
13 264×	`accelerator-lowering-fma.f64`
5 646×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	741	14661
1	2478	11528
0	9199	11238
0	495	10076
1	1678	7475
2	6942	7471
0	8224	7285
0	27	104
1	203	98
2	1825	94
0	8891	90
0	22	115
1	171	115
2	1823	115
0	8656	111
0	12	48
1	91	48
2	863	48
0	8202	47

Stop Event

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

Compiler

Compiled 391 to 207 computations (47.1% saved)

preprocess86.0ms (0.7%)

Memory: 9.1MiB live, 126.6MiB allocated
Compiler: Compiled 426 to 182 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze64.0ms (0.5%)

sample1.4s (11.5%)

preprocess435.0ms (3.7%)

explain195.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify381.0ms (3.2%)

localize41.0ms (0.3%)

series58.0ms (0.5%)

rewrite353.0ms (3%)

simplify512.0ms (4.3%)

eval90.0ms (0.8%)

prune93.0ms (0.8%)

simplify329.0ms (2.8%)

localize141.0ms (1.2%)

series50.0ms (0.4%)

rewrite436.0ms (3.7%)

simplify1.4s (11.7%)

eval193.0ms (1.6%)

prune136.0ms (1.1%)

simplify318.0ms (2.7%)

localize102.0ms (0.9%)

series33.0ms (0.3%)

rewrite361.0ms (3.1%)

simplify542.0ms (4.6%)

eval187.0ms (1.6%)

prune189.0ms (1.6%)

simplify244.0ms (2.1%)

localize110.0ms (0.9%)

series54.0ms (0.5%)

rewrite693.0ms (5.9%)

simplify591.0ms (5%)

eval201.0ms (1.7%)

prune166.0ms (1.4%)

regimes131.0ms (1.1%)

regimes172.0ms (1.5%)

regimes19.0ms (0.2%)

regimes123.0ms (1%)

regimes7.0ms (0.1%)

regimes24.0ms (0.2%)

regimes4.0ms (0%)

bsearch21.0ms (0.2%)

bsearch68.0ms (0.6%)

bsearch40.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch17.0ms (0.1%)

bsearch0.0ms (0%)

simplify30.0ms (0.3%)

soundness964.0ms (8.2%)

preprocess86.0ms (0.7%)

end0.0ms (0%)

Profiling