Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze107.0ms (0.7%)

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 20 to 13 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-tanh: 18.0ms (37.3% of total)

ival-mult: 12.0ms (24.9% of total)

ival-sub: 8.0ms (16.6% of total)

ival-div: 5.0ms (10.4% of total)

ival-add: 4.0ms (8.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.1s (7.7%)

Results

781.0ms	8069×	0	valid
37.0ms	187×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 525.0ms

ival-div: 163.0ms (31% of total)

ival-mult: 159.0ms (30.3% of total)

ival-tanh: 98.0ms (18.7% of total)

ival-add: 46.0ms (8.8% of total)

ival-sub: 45.0ms (8.6% of total)

backward-pass: 8.0ms (1.5% of total)

const: 7.0ms (1.3% of total)

Bogosity

preprocess615.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

12492×	`accelerator-lowering-fma.f32`
12492×	`accelerator-lowering-fma.f64`
3782×	`-lowering-.f32`
3782×	`-lowering-.f64`
2164×	`+-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)))))
(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))

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

explain131.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
21	-	1	(-1.989893763452694e-242 9.16020696588455e+287 -4.2820873073436665e-192 6.35239714234519e-34)	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`
0	-	0	-	`y`
0	-	0	-	`(tanh.f64 (/.f64 t y))`
0	-	0	-	`z`
0	-	0	-	`(tanh.f64 (/.f64 x y))`
0	-	0	-	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
0	-	0	-	`t`
0	-	0	-	`(/.f64 t y)`
0	-	0	-	`(/.f64 x y)`

Results

49.0ms	408×	0	valid
38.0ms	94×	2	valid
5.0ms	10×	1	valid

Compiler

Compiled 145 to 38 computations (73.8% saved)

Precisions

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

ival-div: 15.0ms (31.9% of total)

ival-mult: 11.0ms (23.4% of total)

ival-tanh: 8.0ms (17% of total)

backward-pass: 6.0ms (12.8% of total)

ival-sub: 4.0ms (8.5% of total)

ival-add: 3.0ms (6.4% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize908.0ms (6.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))
✓	cost-diff	0	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	92.8%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))

Rules

9996×	`accelerator-lowering-fma.f32`
9996×	`accelerator-lowering-fma.f64`
3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
2922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	58	58
2	186	58
3	616	58
4	2785	58
0	8554	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

24.0ms	204×	0	valid
52.0ms	47×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 6.0ms (27.3% of total)

ival-sub: 5.0ms (22.7% of total)

ival-mult: 5.0ms (22.7% of total)

ival-tanh: 4.0ms (18.2% of total)

backward-pass: 3.0ms (13.6% of total)

const: 0.0ms (0% of total)

series121.0ms (0.8%)

Counts

6 → 204

Calls

Call 1

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

Outputs
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* z (- x t))>
#<alt (+ (* z (- x t)) (/ (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y))>
#<alt (+ (* z (- x t)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y) (/ (* z (- (+ (* 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))) (+ (* 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))))) (pow y 2))))>
#<alt (+ (* z (- x t)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y) (+ (/ (* z (- (+ (* -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)))))))) (+ (* -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)))))))))) (pow y 3)) (/ (* z (- (+ (* 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))) (+ (* 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))))) (pow y 2)))))>
#<alt (* -1 (* z (- (* -1 x) (* -1 t))))>
#<alt (+ (* -1 (* z (- (* -1 x) (* -1 t)))) (/ (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y))>
#<alt (+ (* -1 (* z (- (* -1 x) (* -1 t)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))))) (/ (* z (- (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y)) y)))>
#<alt (+ (* -1 (* z (- (* -1 x) (* -1 t)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 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))))))))))))))) y)) y))) y)))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (* y (* z (- (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))>
#<alt (+ (* x z) (* y (* z (- (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ z (* -1/3 (/ (* (pow x 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ z (* (pow x 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow x 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
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#<alt (- (+ x (* t z)) (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (- (+ x (* t (- (* -1/3 (/ (* (pow t 2) z) (pow y 2))) (* -1 z)))) (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (- (+ x (* t (- (* (pow t 2) (- (* 2/15 (/ (* (pow t 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))) (* -1 z)))) (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (- x (* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<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 (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (- (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))>
#<alt (- (+ (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))>
#<alt (- (+ (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (/ (- x t) y)>
#<alt (/ (- (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 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 t 3) (pow y 2)))))) (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))) y)>
#<alt (/ (- (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))))) (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))))))) y)>
#<alt (* -1 (/ (- (* -1 x) (* -1 t)) y))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) (* -1 t)) y))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) (* -1 t)) y))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 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)))))))))))))) y)) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) (* -1 t)) y))>
#<alt (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<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)))))))>
#<alt (- (+ (* t (- (* 1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (* t (- (* (pow t 2) (+ (* -2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))>

Calls

51 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	(tanh (/ t y))
29.0ms	y	@	0	(* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))
7.0ms	t	@	-inf	(* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))
5.0ms	y	@	inf	(* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))
4.0ms	z	@	0	(* (* y z) (- (tanh (/ x y)) (tanh (/ t y))))

rewrite579.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5214×	`-lowering-.f32`
5214×	`-lowering-.f64`
4104×	`/-lowering-/.f32`
4104×	`/-lowering-/.f64`
3422×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	95	48
2	904	48
0	8199	48

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 306

Calls

Call 1

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

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

simplify1.0s (7.1%)

Algorithm

1×	egg-herbie

Rules

14174×	`accelerator-lowering-fma.f32`
14174×	`accelerator-lowering-fma.f64`
5098×	`-lowering-.f32`
5098×	`-lowering-.f64`
3588×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	534	10063
1	1844	7442
2	7511	7439
0	8675	7296

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(* y (* z (- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(* z (- x t))
(+ (* z (- x t)) (/ (* z (- (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))))) y))
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(+.f64 (/.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))))) (.f64 t (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 t t) y)) y))))
(- (+ (* t (- (* (pow t 2) (+ (* -2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+.f64 (/.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))))) (.f64 t (+.f64 (.f64 t (.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 (*.f64 t t) #s(literal -2/15 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (/.f64 #s(literal -1 binary64) y))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))
(- (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (-.f64 (/.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))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))))

eval145.0ms (1%)

Compiler: Compiled 24043 to 9617 computations (60% saved)

prune104.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	504	7	511

Accuracy

100.0%

Counts

511 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(fma.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) y)) z x)
▶	44.8%	(-.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 x t) y)))
	62.5%	(-.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))))
▶	59.0%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))))
✓	93.8%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
▶	56.1%	(-.f64 x (*.f64 z (-.f64 x t)))
▶	60.1%	x

Compiler

Compiled 191 to 120 computations (37.2% saved)

localize916.0ms (6.2%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)))
✓	cost-diff	0	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))))
✓	cost-diff	0	(/.f64 (-.f64 x t) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	256	(.f64 (.f64 y z) (/.f64 (-.f64 x t) y))
✓	cost-diff	256	(-.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 x t) y)))
✓	cost-diff	0	(-.f64 x t)
✓	cost-diff	0	(*.f64 z (-.f64 x t))
✓	cost-diff	0	(-.f64 x (*.f64 z (-.f64 x t)))
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))
✓	cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) y)
✓	cost-diff	64	(neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) y))
✓	cost-diff	6336	(fma.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) y)) z x)
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))))
✓	accuracy	80.8%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)))
✓	accuracy	100.0%	(-.f64 x t)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 x t) y)))
✓	accuracy	76.2%	(.f64 (.f64 y z) (/.f64 (-.f64 x t) y))
✓	accuracy	100.0%	(-.f64 x t)
✓	accuracy	100.0%	(*.f64 z (-.f64 x t))
✓	accuracy	100.0%	(-.f64 x (*.f64 z (-.f64 x t)))
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	96.7%	(*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) y)

Rules

8302×	`accelerator-lowering-fma.f32`
8302×	`accelerator-lowering-fma.f64`
3288×	`-lowering-.f32`
3288×	`-lowering-.f64`
2452×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	135
1	101	134
2	322	133
3	1166	133
4	4306	133
0	8125	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

71.0ms	204×	0	valid
171.0ms	52×	2	valid

Compiler

Compiled 175 to 23 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

backward-pass: 131.0ms (71.8% of total)

ival-mult: 15.0ms (8.2% of total)

ival-div: 13.0ms (7.1% of total)

ival-sub: 9.0ms (4.9% of total)

<compiled-spec>: 7.0ms (3.8% of total)

ival-tanh: 5.0ms (2.7% of total)

ival-add: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

const: 0.0ms (0% of total)

series75.0ms (0.5%)

Counts

16 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(* (* y z) (- (tanh (/ x y)) (/ t y)))
3.0ms	x	@	0	(neg (* (- (tanh (/ x y)) (tanh (/ t y))) y))
2.0ms	y	@	inf	(+ (* (neg (* (- (tanh (/ x y)) (tanh (/ t y))) y)) z) x)
1.0ms	y	@	-inf	(* (- (tanh (/ x y)) (tanh (/ t y))) y)
1.0ms	x	@	inf	(* (* y z) (- (tanh (/ x y)) (/ t y)))

rewrite603.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4024×	`/-lowering-/.f32`
4024×	`/-lowering-/.f64`
3946×	`accelerator-lowering-fma.f32`
3946×	`accelerator-lowering-fma.f64`
3868×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	133
1	191	132
2	1980	132
0	8261	132

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 565

Calls

Call 1

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

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

simplify872.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

10918×	`accelerator-lowering-fma.f32`
10918×	`accelerator-lowering-fma.f64`
6128×	`+-lowering-+.f64`
6128×	`+-lowering-+.f32`
4148×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	842	17311
1	2886	14475
0	8649	14171

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

eval330.0ms (2.2%)

Compiler: Compiled 41458 to 13977 computations (66.3% saved)

prune199.0ms (1.4%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1268	16	1284
Fresh	0	1	1
Picked	3	2	5
Done	0	1	1
Total	1271	20	1291

Accuracy

100.0%

Counts

1291 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(fma.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)) z x)
	63.5%	(fma.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y)) z x)
	45.1%	(-.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 x t))))
▶	49.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 x t) (.f64 y z)))))
	49.5%	(-.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 x t))) y))
	45.4%	(-.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x t)))))
	56.0%	(-.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 x t)))))
	53.1%	(-.f64 x (.f64 (-.f64 x t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
	49.3%	(-.f64 x (.f64 (.f64 (/.f64 (-.f64 x t) y) y) z))
▶	42.4%	(-.f64 x (.f64 (.f64 y z) (/.f64 x y)))
▶	44.7%	(-.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t)))))
	62.5%	(-.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))))
✓	59.0%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))))
✓	93.8%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
	39.7%	(-.f64 x (.f64 z (/.f64 (-.f64 (.f64 x x) (*.f64 t t)) (+.f64 x t))))
	50.4%	(-.f64 x (*.f64 z x))
	55.9%	(+.f64 x (*.f64 t z))
	25.3%	(*.f64 (-.f64 t x) z)
▶	15.6%	(*.f64 t z)
✓	60.1%	x

Compiler

Compiled 542 to 341 computations (37.1% saved)

localize853.0ms (5.8%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 x t) (.f64 y z))
✓	cost-diff	128	(/.f64 y (.f64 (-.f64 x t) (.f64 y z)))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 x t) (.f64 y z))))
✓	cost-diff	384	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 x t) (.f64 y z)))))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t)))
✓	cost-diff	384	(.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t))))
✓	cost-diff	384	(-.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t)))))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	256	(.f64 (.f64 y z) (/.f64 x y))
✓	cost-diff	256	(-.f64 x (.f64 (.f64 y z) (/.f64 x y)))
✓	cost-diff	0	(*.f64 t z)
✓	cost-diff	0	(-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y)))
✓	cost-diff	128	(*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)
✓	cost-diff	192	(neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y))
✓	cost-diff	6464	(fma.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)) z x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 x t) (.f64 y z)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 x t) (.f64 y z))))
✓	accuracy	92.6%	(.f64 (-.f64 x t) (.f64 y z))
✓	accuracy	83.1%	(/.f64 y (.f64 (-.f64 x t) (.f64 y z)))
✓	accuracy	100.0%	(/.f64 y (-.f64 x t))
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t)))
✓	accuracy	76.2%	(.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t))))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y z) (/.f64 x y)))
✓	accuracy	79.2%	(.f64 (.f64 y z) (/.f64 x y))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y))
✓	accuracy	100.0%	(fma.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)) z x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	83.9%	(*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)

Rules

8498×	`accelerator-lowering-fma.f32`
8498×	`accelerator-lowering-fma.f64`
2470×	`-lowering-.f32`
2470×	`-lowering-.f64`
2382×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	160
1	92	151
2	301	148
3	1180	116
4	4292	116
5	7296	116
0	8153	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

83.0ms

256×

valid

Compiler

Compiled 190 to 36 computations (81.1% saved)

Precisions

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

ival-div: 16.0ms (33.7% of total)

ival-mult: 15.0ms (31.6% of total)

ival-sub: 6.0ms (12.6% of total)

<compiled-spec>: 4.0ms (8.4% of total)

ival-tanh: 3.0ms (6.3% of total)

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

const: 1.0ms (2.1% of total)

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

backward-pass: 0.0ms (0% of total)

series61.0ms (0.4%)

Counts

18 → 684

Calls

Call 1

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

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

Calls

171 calls:

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

rewrite674.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

6500×	`-lowering-.f32`
6500×	`-lowering-.f64`
5014×	`/-lowering-/.f32`
5014×	`/-lowering-/.f64`
2226×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	141
1	192	138
2	1804	138
0	9023	138

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1055

Calls

Call 1

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

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

simplify893.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

10466×	`accelerator-lowering-fma.f32`
10466×	`accelerator-lowering-fma.f64`
5334×	`-lowering-.f32`
5334×	`-lowering-.f64`
3538×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	754	9933
1	2476	8429
0	8434	8231

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

eval318.0ms (2.2%)

Compiler: Compiled 37338 to 12067 computations (67.7% saved)

prune331.0ms (2.3%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1831	14	1845
Fresh	5	7	12
Picked	1	4	5
Done	0	3	3
Total	1837	28	1865

Accuracy

100.0%

Counts

1865 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(fma.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)) z x)
▶	63.5%	(fma.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y)) z x)
	25.3%	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 (/.f64 z (/.f64 y x)) (.f64 y (/.f64 z (/.f64 y x)))))) (+.f64 x (*.f64 y (/.f64 z (/.f64 y x)))))
	45.1%	(-.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 x t))))
	47.6%	(-.f64 x (/.f64 (.f64 x (.f64 y z)) y))
	49.5%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (-.f64 x t)) z) y)))
	52.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 t t) z) x) (/.f64 t z)) x)) x)))
	55.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t z))))
	38.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 t (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x x))) (/.f64 (/.f64 t z) (.f64 x (.f64 x x))))))))
▶	46.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z))))
	45.3%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 x t))))))
	49.5%	(-.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 x t))) y))
	43.3%	(-.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
	47.5%	(-.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) x))))
	62.5%	(-.f64 x (.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) (.f64 y z)))
▶	53.1%	(-.f64 x (.f64 (-.f64 x t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
	49.3%	(-.f64 x (.f64 (.f64 (/.f64 (-.f64 x t) y) y) z))
✓	42.4%	(-.f64 x (.f64 (.f64 y z) (/.f64 x y)))
✓	44.7%	(-.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x t)))))
	44.7%	(-.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x t) y)))))
✓	59.0%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))))
✓	93.8%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
▶	42.4%	(-.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	55.9%	(+.f64 x (*.f64 t z))
	25.3%	(*.f64 (-.f64 t x) z)
▶	15.2%	(*.f64 (-.f64 #s(literal 0 binary64) x) z)
✓	15.6%	(*.f64 t z)
✓	60.1%	x

Compiler

Compiled 827 to 520 computations (37.1% saved)

localize895.0ms (6.1%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y)
✓	cost-diff	256	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z))
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z)))
✓	cost-diff	512	(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z))))
✓	cost-diff	0	(-.f64 x t)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z))
✓	cost-diff	384	(.f64 (-.f64 x t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))
✓	cost-diff	384	(-.f64 x (.f64 (-.f64 x t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	384	(.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	384	(-.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 0 binary64) x) z)
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))
✓	cost-diff	128	(*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y)
✓	cost-diff	192	(neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y))
✓	cost-diff	6464	(fma.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y)) z x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z))))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z)))
✓	accuracy	72.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) y) (/.f64 y z))
✓	accuracy	100.0%	(.f64 (-.f64 x t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 x (.f64 (-.f64 x t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
✓	accuracy	78.8%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	79.2%	(.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 0 binary64) x) z)
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))
✓	accuracy	100.0%	(neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	84.9%	(*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y)

Rules

7528×	`accelerator-lowering-fma.f32`
7528×	`accelerator-lowering-fma.f64`
3178×	`-lowering-.f32`
3178×	`-lowering-.f64`
2004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	173
1	108	148
2	375	131
3	1332	125
4	4774	125
0	8120	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (neg (* (- (tanh (/ x y)) (/ t y)) y)) z) x)
(neg (* (- (tanh (/ x y)) (/ t y)) y))
(* (- (tanh (/ x y)) (/ t y)) y)
(- (tanh (/ x y)) (/ t y))
(tanh (/ x y))
(/ x y)
x
y
(/ t y)
t
z
(* (- 0 x) z)
(- 0 x)
0
(- x (* (* y z) (* (/ 1 y) x)))
(* (* y z) (* (/ 1 y) x))
(* y z)
(* (/ 1 y) x)
(/ 1 y)
1
(- x (* (- x t) (* (/ 1 y) (* y z))))
(* (- x t) (* (/ 1 y) (* y z)))
(- x t)
(* (/ 1 y) (* y z))
(- x (/ 1 (* (/ (/ 1 (- x t)) y) (/ y z))))
(/ 1 (* (/ (/ 1 (- x t)) y) (/ y z)))
(* (/ (/ 1 (- x t)) y) (/ y z))
(/ (/ 1 (- x t)) y)
(/ 1 (- x t))
(/ y z)

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

Results

192.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 215 to 74 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 76.0ms (59.3% of total)

ival-mult: 31.0ms (24.2% of total)

ival-sub: 8.0ms (6.2% of total)

<compiled-spec>: 6.0ms (4.7% of total)

const: 2.0ms (1.6% of total)

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

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

backward-pass: 1.0ms (0.8% of total)

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

series65.0ms (0.4%)

Counts

19 → 660

Calls

Call 1

Inputs
#<alt (* (- (tanh (/ x y)) (/ t y)) y)>
#<alt (tanh (/ x y))>
#<alt (neg (* (- (tanh (/ x y)) (/ t y)) y))>
#<alt (- (tanh (/ x y)) (/ t y))>
#<alt (* (- 0 x) z)>
#<alt (- 0 x)>
#<alt (* (* y z) (* (/ 1 y) x))>
#<alt (* (/ 1 y) x)>
#<alt (- x (* (* y z) (* (/ 1 y) x)))>
#<alt (* y z)>
#<alt (* (/ 1 y) (* y z))>
#<alt (- x (* (- x t) (* (/ 1 y) (* y z))))>
#<alt (* (- x t) (* (/ 1 y) (* y z)))>
#<alt (* (/ (/ 1 (- x t)) y) (/ y z))>
#<alt (/ 1 (* (/ (/ 1 (- x t)) y) (/ y z)))>
#<alt (/ (/ 1 (- x t)) y)>
#<alt (- x (/ 1 (* (/ (/ 1 (- x t)) y) (/ y z))))>
#<alt (+ (* (neg (* (- (tanh (/ x y)) (/ t y)) y)) z) x)>
#<alt (- x t)>

Outputs
#<alt (* -1 t)>
#<alt (+ x (* -1 t))>
#<alt (+ (* -1 t) (* x (+ 1 (* -1/3 (/ (pow x 2) (pow y 2))))))>
#<alt (+ (* -1 t) (* x (+ 1 (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))>
#<alt (* -1 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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<alt (- x t)>
#<alt (- (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) t)>
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#<alt (+ x (* z (- (* -1 x) (* -1 t))))>
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- (* -1 x) (* -1 t)))))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* z (- (* 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 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* z (- (* -1 x) (* -1 t)))))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* z (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) (* z (- (* 1/2 (+ (* -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 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* z (- (* -1 x) (* -1 t)))))>
#<alt (+ 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)))))))))))>
#<alt (+ 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 z)))>
#<alt (+ 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 z)))>
#<alt (+ 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 z)))>
#<alt (* t z)>
#<alt (* t (+ z (+ (* -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))))>
#<alt (* t (+ z (+ (* -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))))>
#<alt (* t (+ z (+ (* -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))))>
#<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>
#<alt (+ 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 y)))))))>
#<alt (+ 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 y)))))))>
#<alt (+ 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 y)))))))>
#<alt (* -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 y))))))>
#<alt (* z (+ (* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))) (/ x z)))>
#<alt (* z (+ (* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))) (/ x z)))>
#<alt (* z (+ (* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y))))) (/ x z)))>
#<alt (* -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 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)))))))>
#<alt (* -1 t)>
#<alt (- x t)>
#<alt (- x t)>
#<alt (- x t)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ t x))))>
#<alt (* x (+ 1 (* -1 (/ t x))))>
#<alt (* x (+ 1 (* -1 (/ t x))))>
#<alt x>
#<alt (* -1 (* x (- (/ t x) 1)))>
#<alt (* -1 (* x (- (/ t x) 1)))>
#<alt (* -1 (* x (- (/ t x) 1)))>
#<alt x>
#<alt (+ x (* -1 t))>
#<alt (+ x (* -1 t))>
#<alt (+ x (* -1 t))>
#<alt (* -1 t)>
#<alt (* t (- (/ x t) 1))>
#<alt (* t (- (/ x t) 1))>
#<alt (* t (- (/ x t) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ x t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ x t)))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ x t)))))>

Calls

165 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(/ (/ 1 (- x t)) y)
1.0ms	y	@	-inf	(/ (/ 1 (- x t)) y)
1.0ms	t	@	inf	(- (tanh (/ x y)) (/ t y))
1.0ms	y	@	inf	(+ (* (neg (* (- (tanh (/ x y)) (/ t y)) y)) z) x)
1.0ms	y	@	-inf	(* (- (tanh (/ x y)) (/ t y)) y)

rewrite660.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5856×	`-lowering-.f32`
5856×	`-lowering-.f64`
4110×	`/-lowering-/.f32`
4110×	`/-lowering-/.f64`
2068×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	152
1	223	115
2	2214	115
0	8816	115

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 861

Calls

Call 1

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

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

simplify659.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

8412×	`accelerator-lowering-fma.f32`
8412×	`accelerator-lowering-fma.f64`
4574×	`-lowering-.f32`
4574×	`-lowering-.f64`
3088×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	697	8823
1	2276	7437
2	7724	7411
0	8345	7231

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

eval299.0ms (2%)

Compiler: Compiled 33417 to 13278 computations (60.3% saved)

prune274.0ms (1.9%)

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1603	15	1618
Fresh	4	12	16
Picked	3	2	5
Done	1	6	7
Total	1611	35	1646

Accuracy

100.0%

Counts

1646 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(fma.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) y)) z x)
✓	63.5%	(fma.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y)) y)) z x)
	24.6%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 x t)))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 x t)))))
	13.6%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) z) x)
	47.6%	(-.f64 x (/.f64 (.f64 (.f64 y z) x) y))
	45.4%	(-.f64 x (/.f64 (*.f64 y (-.f64 x t)) (/.f64 y z)))
	45.1%	(-.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 x t))))
	49.5%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (-.f64 x t)) z) y)))
	56.1%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) z)))
	52.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 t t) z) x) (/.f64 t z)) x)) x)))
	55.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t z))))
	39.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 t (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) z) (/.f64 (/.f64 t z) (.f64 x (*.f64 x x))))))))
	37.5%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (*.f64 t t)) (+.f64 x t))) y) (/.f64 y z))))
	44.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 y z))))
	47.4%	(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) y) (/.f64 y z))))
	53.2%	(-.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x t)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y z)))))
	49.5%	(-.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 x t))) y))
	43.3%	(-.f64 x (*.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
	24.7%	(-.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 t (+.f64 x t))) (-.f64 (.f64 x (.f64 x x)) (.f64 t (.f64 t t))))) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
	47.5%	(-.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) x))))
	62.5%	(-.f64 x (.f64 (-.f64 (/.f64 x y) (tanh.f64 (/.f64 t y))) (.f64 y z)))
	56.8%	(-.f64 x (.f64 (-.f64 #s(literal 0 binary64) t) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
	49.3%	(-.f64 x (.f64 (.f64 (/.f64 (-.f64 x t) y) y) z))
✓	42.4%	(-.f64 x (.f64 (.f64 y z) (/.f64 x y)))
	44.7%	(-.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x t) y)))))
✓	59.0%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (/.f64 t y))))
✓	93.8%	(-.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
✓	42.4%	(-.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
	55.9%	(+.f64 x (*.f64 t z))
	6.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 x x)) z)
	25.3%	(*.f64 (-.f64 t x) z)
	27.8%	(.f64 (.f64 (.f64 (+.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) x) (-.f64 x (.f64 #s(literal 1 binary64) (.f64 z x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) x)))
	15.2%	(*.f64 (neg.f64 x) z)
✓	15.6%	(*.f64 t z)
✓	60.1%	x

Compiler

Compiled 1349 to 691 computations (48.8% saved)

regimes92.0ms (0.6%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	z
19.0ms	x
16.0ms	y
15.0ms	t
14.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`z`
98.6%	1	`t`
98.6%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes120.0ms (0.8%)

Counts

52 → 3

Calls

Call 1

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

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

Calls

5 calls:

38.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
35.0ms	y
14.0ms	t
14.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
93.8%	1	`x`
97.2%	2	`y`
93.8%	1	`z`
93.8%	1	`t`
98.9%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes185.0ms (1.3%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	z
47.0ms	t
44.0ms	x
24.0ms	y

Results

Accuracy	Segments	Branch
84.2%	3	`x`
80.5%	5	`t`
74.1%	6	`z`
83.0%	2	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes81.0ms (0.6%)

Counts

49 → 3

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	x
33.0ms	y

Results

Accuracy	Segments	Branch
80.5%	3	`x`
82.3%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes69.0ms (0.5%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
23.0ms	y

Results

Accuracy	Segments	Branch
70.8%	5	`x`
78.5%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.2%)

Counts

45 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
76.9%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
x
(*.f64 t z)
(*.f64 (neg.f64 x) z)
(*.f64 (-.f64 #s(literal 0 binary64) x) z)
(*.f64 (-.f64 t x) z)
(+.f64 x (*.f64 t z))
(-.f64 x (*.f64 z x))

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

Calls

2 calls:

8.0ms	t
4.0ms	y

Results

Accuracy	Segments	Branch
65.5%	4	`t`
71.2%	2	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
62.1%	3	`x`
65.2%	2	`z`
64.2%	2	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
61.7%	2	`y`
62.4%	2	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(*.f64 t z)

Outputs
x
(*.f64 t z)

Calls

3 calls:

3.0ms	t
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
61.7%	2	`y`
61.7%	3	`t`
60.1%	1	`z`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
60.1%	1	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7839136526719843e+286	2.3254575784942424e+295
0.0ms	-inf	-7.385718355768535e+306

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch7.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.50557670325271e-124	8.807891222277443e-124

Results

4.0ms	46×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 101 to 69 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (38.6% of total)

ival-mult: 1.0ms (38.6% of total)

ival-tanh: 1.0ms (38.6% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2789256250343797e+165	6.37162696824569e+168
6.0ms	6.50557670325271e-124	8.807891222277443e-124

Results

16.0ms	175×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 349 to 229 computations (34.4% saved)

Precisions

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

ival-div: 3.0ms (32.8% of total)

ival-mult: 3.0ms (32.8% of total)

ival-tanh: 2.0ms (21.9% of total)

ival-add: 1.0ms (10.9% of total)

ival-sub: 1.0ms (10.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.0500139878420246e+112	2.9076933840463858e+113
9.0ms	9.496910822610856e-18	2.3851116151924188e-17

Results

18.0ms

192×

valid

Compiler

Compiled 368 to 243 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (26.6% of total)

ival-mult: 3.0ms (26.6% of total)

ival-tanh: 3.0ms (26.6% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1029467361012413e+55	1.9316205186191636e+58

Results

11.0ms	126×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 170 to 122 computations (28.2% saved)

Precisions

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

ival-div: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

ival-add: 1.0ms (15% of total)

ival-sub: 1.0ms (15% of total)

ival-tanh: 1.0ms (15% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.1029467361012413e+55	1.9316205186191636e+58

Results

12.0ms	124×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 154 to 114 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 2.0ms (24.8% of total)

ival-add: 2.0ms (24.8% of total)

ival-mult: 2.0ms (24.8% of total)

ival-tanh: 2.0ms (24.8% of total)

ival-sub: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5.033091371611704e+105	-7.734857820144666e+104

Results

8.0ms	94×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 122 to 90 computations (26.2% saved)

Precisions

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

ival-div: 1.0ms (19.6% of total)

ival-mult: 1.0ms (19.6% of total)

ival-tanh: 1.0ms (19.6% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-4.8537206565237916e+204	-3.245683798103653e+203

Results

7.0ms	87×	0	valid
2.0ms	9×	1	valid

Compiler

Compiled 116 to 90 computations (22.4% saved)

Precisions

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

ival-div: 2.0ms (35.6% of total)

ival-mult: 2.0ms (35.6% of total)

ival-add: 1.0ms (17.8% of total)

ival-sub: 1.0ms (17.8% of total)

ival-tanh: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.613849406811547e+251	4.337354973828349e+256

Results

13.0ms

144×

valid

Compiler

Compiled 152 to 117 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-tanh: 3.0ms (35.6% of total)

ival-div: 2.0ms (23.7% of total)

ival-mult: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 211 to 70 computations (66.8% saved)

preprocess75.0ms (0.5%)

Remove: (abs y)
Compiler: Compiled 900 to 326 computations (63.8% saved)

analyze107.0ms (0.7%)

sample1.1s (7.7%)

preprocess615.0ms (4.2%)

explain131.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize908.0ms (6.2%)

series121.0ms (0.8%)

rewrite579.0ms (3.9%)

simplify1.0s (7.1%)

eval145.0ms (1%)

prune104.0ms (0.7%)

localize916.0ms (6.2%)

series75.0ms (0.5%)

rewrite603.0ms (4.1%)

simplify872.0ms (5.9%)

eval330.0ms (2.2%)

prune199.0ms (1.4%)

localize853.0ms (5.8%)

series61.0ms (0.4%)

rewrite674.0ms (4.6%)

simplify893.0ms (6.1%)

eval318.0ms (2.2%)

prune331.0ms (2.3%)

localize895.0ms (6.1%)

series65.0ms (0.4%)

rewrite660.0ms (4.5%)

simplify659.0ms (4.5%)

eval299.0ms (2%)

prune274.0ms (1.9%)

regimes92.0ms (0.6%)

regimes120.0ms (0.8%)

regimes185.0ms (1.3%)

regimes81.0ms (0.6%)

regimes69.0ms (0.5%)

regimes23.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0%)

bsearch24.0ms (0.2%)

bsearch27.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch19.0ms (0.1%)

soundness3.0ms (0%)

preprocess75.0ms (0.5%)

end0.0ms (0%)

Profiling