Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze104.0ms (0.9%)

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: 58.0ms

ival-mult: 36.0ms (62% of total)

ival-tanh: 8.0ms (13.8% of total)

ival-div: 5.0ms (8.6% of total)

ival-sub: 4.0ms (6.9% of total)

ival-add: 4.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

sample1.6s (12.9%)

Results

1.2s	8035×	0	valid
44.0ms	221×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 842.0ms

ival-mult: 402.0ms (47.7% of total)

ival-div: 223.0ms (26.5% of total)

ival-tanh: 89.0ms (10.6% of total)

ival-sub: 61.0ms (7.2% of total)

ival-add: 53.0ms (6.3% of total)

const: 7.0ms (0.8% of total)

backward-pass: 7.0ms (0.8% of total)

Bogosity

preprocess266.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

3416×	`+-lowering-+.f64`
3416×	`+-lowering-+.f32`
3180×	`-lowering-.f32`
3180×	`-lowering-.f64`
1862×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	238
1	406	223
2	1245	210
3	5327	210
0	12	15
1	54	14
2	162	14
3	443	14
4	1775	14
0	8983	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 t y)) (tanh.f64 (/.f64 x 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)))))
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))
(fmsub (* y z) (+ (tanh (/ t y)) (tanh (/ x y))) x)
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))
(fma y (* z (- (tanh (/ x y)) (tanh (/ t y)))) x)
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))
(fnmadd y (* z (+ (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))))
(fnmadd y (* z (+ (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))))
(fnmsub y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))))
(fnmsub y (* z (- (tanh (/ x y)) (tanh (/ t y)))) x)
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))))
(fmsub (* y z) (+ (tanh (/ t y)) (tanh (/ x y))) x)
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x)))))
(fma x (* z (- (tanh (/ t x)) (tanh (/ y x)))) y)
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y)))))
(fma y (* x (- (tanh (/ t y)) (tanh (/ z y)))) z)
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(fma y (* z (- (tanh (/ x y)) (tanh (/ t y)))) t)
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z)))))
(fma z (* y (- (tanh (/ t z)) (tanh (/ x z)))) x)
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t)))))
(fma (* z t) (- (tanh (/ y t)) (tanh (/ x t))) x)
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y)))))
(fma y (* t (- (tanh (/ z y)) (tanh (/ x y)))) x)

Symmetry

(abs y)

explain136.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
16	-	1	(1.809307107552077e-116 5.534258634421733e+196 -8.601165764760768e-20 -5.346253683163491e-124)	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`
1	-	0	-	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y z)`
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

50.0ms	420×	0	valid
41.0ms	84×	2	valid
1.0ms	6×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 145 to 38 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 15.0ms (30.7% of total)

ival-mult: 15.0ms (30.7% of total)

ival-tanh: 8.0ms (16.4% of total)

backward-pass: 4.0ms (8.2% of total)

ival-sub: 3.0ms (6.1% of total)

ival-add: 3.0ms (6.1% 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
▶	94.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify426.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3416×	`+-lowering-+.f64`
3416×	`+-lowering-+.f32`
3180×	`-lowering-.f32`
3180×	`-lowering-.f64`
1862×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	54	57
2	162	57
3	443	57
4	1775	57
0	8983	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize172.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	99.6%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	94.2%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Results

84.0ms	210×	0	valid
72.0ms	42×	2	valid
1.0ms	3×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 5.0ms (25.1% of total)

ival-mult: 5.0ms (25.1% of total)

ival-tanh: 4.0ms (20.1% of total)

backward-pass: 2.0ms (10.1% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

series56.0ms (0.5%)

Counts

6 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	t	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms	t	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	x	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite368.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4676×	`-lowering-.f32`
4676×	`-lowering-.f64`
3988×	`/-lowering-/.f32`
3988×	`/-lowering-/.f64`
2132×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	91	47
2	892	47
0	8269	47

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 272

Calls

Call 1

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

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

simplify306.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3608×	`-lowering-.f32`
3608×	`-lowering-.f64`
3606×	`+-lowering-+.f64`
3606×	`+-lowering-+.f32`
1352×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	9897
1	1835	7218
0	8959	7218

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

eval60.0ms (0.5%)

Compiler: Compiled 22041 to 1886 computations (91.4% saved)

prune67.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	468	8	476
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	468	9	477

Accuracy

100.0%

Counts

477 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	26.7%	(-.f64 (-.f64 x (.f64 z (+.f64 x (-.f64 #s(literal 0 binary64) t)))) (/.f64 (+.f64 (.f64 z #s(literal 0 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (/.f64 z y))) y))
▶	97.9%	(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
▶	48.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
	65.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
▶	65.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	94.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	61.3%	(+.f64 x (*.f64 z (-.f64 t x)))
▶	60.5%	x

Compiler

Compiled 321 to 200 computations (37.7% saved)

simplify223.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓	cost-diff	0	(.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)
✓	cost-diff	0	(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	cost-diff	0	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	cost-diff	0	(/.f64 (-.f64 t x) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	256	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	cost-diff	256	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	cost-diff	0	(tanh.f64 (/.f64 t y))
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓	cost-diff	6272	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)

Rules

4284×	`+-lowering-+.f64`
4284×	`+-lowering-+.f32`
2742×	`-lowering-.f32`
2742×	`-lowering-.f64`
1986×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	204
1	77	202
2	226	202
3	653	202
4	2341	194
0	8347	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize152.0ms (1.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	99.6%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	97.0%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	84.7%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	accuracy	100.0%	(/.f64 (-.f64 t x) y)
✓	accuracy	76.9%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	99.6%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	97.0%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Results

76.0ms	210×	0	valid
33.0ms	42×	2	valid
2.0ms	3×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 210 to 22 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 22.0ms (38.3% of total)

ival-div: 8.0ms (13.9% of total)

ival-add: 8.0ms (13.9% of total)

backward-pass: 5.0ms (8.7% of total)

ival-sub: 5.0ms (8.7% of total)

compiled-spec: 5.0ms (8.7% of total)

ival-tanh: 4.0ms (7% of total)

const: 0.0ms (0% of total)

series56.0ms (0.5%)

Counts

14 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

rewrite461.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3530×	`/-lowering-/.f32`
3530×	`/-lowering-/.f64`
3300×	`-lowering-.f32`
3300×	`-lowering-.f64`
2208×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	131
1	166	129
2	1886	129
0	9285	129

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 504

Calls

Call 1

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

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

simplify523.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

5602×	`+-lowering-+.f64`
5602×	`+-lowering-+.f32`
3626×	`-lowering-.f32`
3626×	`-lowering-.f64`
1978×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	20112
1	2673	17103
0	9349	17103

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

eval183.0ms (1.5%)

Compiler: Compiled 51524 to 3093 computations (94% saved)

prune170.0ms (1.4%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1366	19	1385
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	1369	25	1394

Accuracy

100.0%

Counts

1394 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
	26.7%	(-.f64 (-.f64 x (.f64 z (+.f64 x (-.f64 #s(literal 0 binary64) t)))) (/.f64 (+.f64 (.f64 z #s(literal 0 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (/.f64 z y))) y))
	51.4%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	57.5%	(+.f64 x (.f64 (/.f64 (.f64 z (-.f64 t x)) y) y))
	30.2%	(+.f64 x (.f64 (/.f64 z (/.f64 y (-.f64 (.f64 t t) (*.f64 x x)))) (/.f64 y (+.f64 t x))))
	32.0%	(+.f64 x (.f64 (/.f64 y (/.f64 y (-.f64 (.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
▶	61.2%	(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
	28.7%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x)))) (/.f64 (.f64 y z) (+.f64 t x))))
	51.5%	(+.f64 x (.f64 (.f64 (/.f64 (-.f64 t x) y) y) z))
	68.4%	(+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z))
✓	97.9%	(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
	51.4%	(+.f64 x (.f64 (.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
	26.4%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
▶	30.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	57.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	65.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	65.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	94.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	45.8%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
	42.9%	(+.f64 x (.f64 (.f64 y z) (.f64 x (+.f64 (/.f64 t (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
	60.7%	(+.f64 x (*.f64 z t))
	23.7%	(*.f64 z (-.f64 t x))
▶	14.9%	(*.f64 z t)
	54.8%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	60.5%	x

Compiler

Compiled 819 to 505 computations (38.3% saved)

simplify163.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	640	(/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))
✓	cost-diff	896	(.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))
✓	cost-diff	896	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
✓	cost-diff	128	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	cost-diff	128	(/.f64 y y)
✓	cost-diff	384	(*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓	cost-diff	384	(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 x y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	256	(.f64 (.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
✓	cost-diff	384	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	128	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)
✓	cost-diff	6400	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)

Rules

2966×	`-lowering-.f32`
2966×	`-lowering-.f64`
1976×	`sum4-define`
1172×	`+-lowering-+.f64`
1172×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	186
1	99	168
2	279	165
3	1183	144
4	5190	144
0	8424	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize142.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(-.f64 (.f64 t t) (.f64 x x))
✓	accuracy	86.5%	(.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	76.9%	(.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))
✓	accuracy	72.4%	(/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))
✓	accuracy	100.0%	(*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓	accuracy	100.0%	(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 t x))
✓	accuracy	99.7%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 x y))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
✓	accuracy	83.0%	(.f64 (.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	accuracy	100.0%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	85.9%	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Results

88.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 230 to 33 computations (85.7% saved)

Precisions

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

ival-mult: 17.0ms (36.4% of total)

ival-div: 12.0ms (25.7% of total)

ival-add: 6.0ms (12.8% of total)

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

compiled-spec: 4.0ms (8.6% of total)

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

const: 1.0ms (2.1% of total)

backward-pass: 1.0ms (2.1% of total)

series51.0ms (0.4%)

Counts

20 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(- (/ t y) (tanh (/ x y)))
2.0ms	x	@	inf	(* (- (* t t) (* x x)) (/ 1 y))
2.0ms	x	@	0	(- (/ t y) (tanh (/ x y)))
1.0ms	y	@	inf	(+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)
1.0ms	y	@	-inf	(+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)

rewrite450.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5514×	`-lowering-.f32`
5514×	`-lowering-.f64`
3060×	`/-lowering-/.f32`
3060×	`/-lowering-/.f64`
2124×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	141
1	238	118
2	2353	115
0	10766	115

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 699

Calls

Call 1

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

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

simplify413.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3180×	`+-lowering-+.f64`
3180×	`+-lowering-+.f32`
1200×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	621	8781
1	2154	7393
0	8308	7393

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

eval257.0ms (2.1%)

Compiler: Compiled 30161 to 2982 computations (90.1% saved)

prune360.0ms (3%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1381	16	1397
Fresh	4	12	16
Picked	3	2	5
Done	0	4	4
Total	1388	34	1422

Accuracy

100.0%

Counts

1422 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.4%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
	18.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (.f64 y z) (.f64 y z)))) (+.f64 x (.f64 (/.f64 x y) (*.f64 y z))))
	12.7%	(-.f64 #s(literal 0 binary64) (*.f64 x z))
	65.9%	(+.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (.f64 y z)) x)
	34.9%	(+.f64 (.f64 z t) (.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) z) (.f64 y y)))))
	51.4%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
▶	61.2%	(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
	61.2%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))
	57.5%	(+.f64 x (.f64 (/.f64 (.f64 z (-.f64 t x)) y) y))
	32.0%	(+.f64 x (.f64 (/.f64 y (/.f64 y (-.f64 (.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
	58.4%	(+.f64 x (.f64 (/.f64 y y) (/.f64 z (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) x) t) x) #s(literal 1 binary64)) x))))
	61.8%	(+.f64 x (.f64 (/.f64 y y) (/.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (.f64 x x) t)) t)) t))))
	54.8%	(+.f64 x (*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal -1 binary64) x))))
	52.1%	(+.f64 x (.f64 (/.f64 y y) (/.f64 z (+.f64 (.f64 t (+.f64 (/.f64 t (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))))
▶	28.7%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x)))) (/.f64 (.f64 y z) (+.f64 t x))))
▶	68.4%	(+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z))
✓	97.9%	(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
	51.4%	(+.f64 x (.f64 (.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
	19.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 (.f64 (.f64 t t) y) (.f64 y (.f64 x x))) (*.f64 y y)) (+.f64 t x))))
	26.4%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
	11.4%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 t (.f64 t t))) (-.f64 (.f64 t t) (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	45.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	45.8%	(+.f64 x (.f64 (.f64 y z) (/.f64 x (neg.f64 y))))
	57.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
✓	65.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	94.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	42.9%	(+.f64 x (.f64 (.f64 y z) (.f64 x (+.f64 (/.f64 t (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
	60.7%	(+.f64 x (*.f64 z t))
▶	14.9%	(.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 z (+.f64 x t)))
	41.1%	(*.f64 z (-.f64 (/.f64 x z) x))
	23.7%	(*.f64 z (-.f64 t x))
✓	14.9%	(*.f64 z t)
▶	54.8%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	60.5%	x

Compiler

Compiled 1183 to 704 computations (40.5% saved)

simplify166.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y (-.f64 (.f64 t t) (.f64 x x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x))))
✓	cost-diff	896	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x)))) (/.f64 (.f64 y z) (+.f64 t x)))
✓	cost-diff	896	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x)))) (/.f64 (.f64 y z) (+.f64 t x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(-.f64 (.f64 t t) (.f64 x x))
✓	cost-diff	512	(.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 z (+.f64 x t)))
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 t x))
✓	cost-diff	128	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	cost-diff	128	(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	128	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)
✓	cost-diff	128	(.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z))

Rules

3250×	`-lowering-.f32`
3250×	`-lowering-.f64`
1574×	`sum4-define`
974×	`+-lowering-+.f64`
974×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	184
1	90	176
2	251	175
3	989	171
4	4999	165
0	8564	165

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize181.0ms (1.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(-.f64 (.f64 t t) (.f64 x x))
✓	accuracy	93.9%	(/.f64 (*.f64 y z) (+.f64 t x))
✓	accuracy	86.4%	(/.f64 y (-.f64 (.f64 t t) (.f64 x x)))
✓	accuracy	58.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x)))) (/.f64 (.f64 y z) (+.f64 t x)))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(/.f64 z (+.f64 x t))
✓	accuracy	94.8%	(-.f64 (.f64 t t) (.f64 x x))
✓	accuracy	59.0%	(.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 z (+.f64 x t)))
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 t x))
✓	accuracy	99.7%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)
✓	accuracy	85.9%	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Results

130.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 230 to 32 computations (86.1% saved)

Precisions

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

ival-mult: 24.0ms (46% of total)

ival-div: 14.0ms (26.8% of total)

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

ival-sub: 5.0ms (9.6% of total)

ival-tanh: 2.0ms (3.8% of total)

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

const: 0.0ms (0% of total)

series53.0ms (0.4%)

Counts

21 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(/ y (- (* t t) (* x x)))
3.0ms	t	@	inf	(/ y (- (* t t) (* x x)))
2.0ms	z	@	0	(/ z (+ x t))
1.0ms	x	@	-inf	(+ x (* (* (- (/ t y) (tanh (/ x y))) y) z))
1.0ms	y	@	-inf	(/ y (- (* t t) (* x x)))

rewrite523.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5806×	`-lowering-.f32`
5806×	`-lowering-.f64`
3418×	`/-lowering-/.f32`
3418×	`/-lowering-/.f64`
2120×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	160
1	238	140
2	2484	140
0	10730	140

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 781

Calls

Call 1

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

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

simplify480.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4412×	`-lowering-.f32`
4412×	`-lowering-.f64`
3708×	`+-lowering-+.f64`
3708×	`+-lowering-+.f32`
1768×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	922	11512
1	3143	10106
0	8458	10106

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

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

eval223.0ms (1.8%)

Compiler: Compiled 40197 to 3952 computations (90.2% saved)

prune239.0ms (2%)

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1567	20	1587
Fresh	11	12	23
Picked	3	2	5
Done	0	6	6
Total	1581	40	1621

Accuracy

100.0%

Counts

1621 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.4%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
	18.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (.f64 (.f64 y z) (.f64 y z)))) (+.f64 x (.f64 (/.f64 x y) (*.f64 y z))))
	14.6%	(/.f64 (-.f64 (.f64 t t) (.f64 x x)) (/.f64 (+.f64 x t) z))
	23.7%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x)))
	12.7%	(-.f64 #s(literal 0 binary64) (*.f64 z x))
	50.8%	(+.f64 (/.f64 (.f64 y z) (.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))) x)
	65.9%	(+.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (.f64 y z)) x)
	60.7%	(+.f64 (*.f64 t z) x)
	51.4%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	47.7%	(+.f64 x (/.f64 z (/.f64 (-.f64 (/.f64 (.f64 t t) (-.f64 #s(literal 0 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)))
	44.1%	(+.f64 x (/.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (.f64 t t)) (/.f64 x t))) t)))
	54.8%	(+.f64 x (/.f64 z (/.f64 #s(literal -1 binary64) x)))
	50.9%	(+.f64 x (/.f64 z (+.f64 (.f64 t (+.f64 (/.f64 t (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) x))))
	17.9%	(+.f64 x (.f64 (/.f64 (-.f64 (.f64 (.f64 t t) y) (.f64 y (.f64 x x))) (.f64 y y)) (/.f64 (*.f64 y z) (+.f64 t x))))
	57.5%	(+.f64 x (.f64 (/.f64 (.f64 z (-.f64 t x)) y) y))
	32.0%	(+.f64 x (.f64 (/.f64 y (/.f64 y (-.f64 (.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
	21.3%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 t t) (.f64 x x)))) (.f64 (/.f64 (.f64 y z) (-.f64 (.f64 x x) (*.f64 t t))) (-.f64 x t))))
	44.7%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 t t))) (/.f64 (*.f64 y z) (+.f64 t x))))
	68.4%	(+.f64 x (.f64 (+.f64 (.f64 (/.f64 t y) y) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z))
	35.3%	(+.f64 x (.f64 (+.f64 t (.f64 x (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)))) z))
	57.2%	(+.f64 x (.f64 (.f64 (/.f64 t y) y) z))
✓	68.4%	(+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z))
✓	97.9%	(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
	51.4%	(+.f64 x (.f64 (.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
	26.4%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
	45.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	45.8%	(+.f64 x (.f64 (.f64 y z) (/.f64 x (neg.f64 y))))
	57.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
✓	65.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	94.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	42.9%	(+.f64 x (.f64 (.f64 y z) (.f64 x (+.f64 (/.f64 t (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
	6.7%	(.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 t (.f64 t t))) (-.f64 (.f64 t t) (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 t (.f64 t t)))) (/.f64 z (+.f64 x t)))
	23.7%	(*.f64 (-.f64 t x) z)
	9.4%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 z (+.f64 x t)))
	20.0%	(.f64 (.f64 (+.f64 x t) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (+.f64 x t)))
	41.1%	(*.f64 z (-.f64 (/.f64 x z) x))
✓	14.9%	(*.f64 z t)
	22.4%	(.f64 x (-.f64 (/.f64 (.f64 t z) x) z))
✓	54.8%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	60.5%	x

Compiler

Compiled 1698 to 702 computations (58.7% saved)

regimes148.0ms (1.2%)

Counts

64 → 1

Calls

Call 1

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

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

Calls

5 calls:

56.0ms	x
26.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.0ms	t
18.0ms	y
18.0ms	z

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`t`
98.0%	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)

regimes102.0ms (0.8%)

Counts

63 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	t
19.0ms	z
18.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`t`
97.9%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
97.9%	1	`x`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes99.0ms (0.8%)

Counts

62 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
96.7%	2	`y`
94.4%	1	`z`
94.4%	1	`t`
97.5%	2	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
94.4%	1	`x`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes112.0ms (0.9%)

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

45.0ms	t
25.0ms	z
17.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
81.5%	3	`x`
77.7%	5	`z`
82.8%	3	`t`
82.3%	3	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes27.0ms (0.2%)

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.2%)

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes43.0ms (0.4%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	t
15.0ms	y

Results

Accuracy	Segments	Branch
82.3%	3	`y`
79.7%	3	`t`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes56.0ms (0.5%)

Counts

55 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	t
17.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
68.5%	3	`t`
71.3%	3	`x`
76.1%	2	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
4.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
69.4%	4	`x`
65.3%	2	`z`
71.3%	3	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

Outputs
x
(*.f64 x (-.f64 #s(literal 1 binary64) z))

Calls

2 calls:

2.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
60.5%	1	`t`
66.7%	2	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Accuracy

Total -36.7b remaining (-145.4%)

Threshold costs -36.7b (-145.4%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 z t)

Outputs
x

Calls

3 calls:

5.0ms	y
2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
60.5%	1	`z`
60.5%	1	`x`
60.5%	1	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.731531810935267e+303	+inf

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.566222352303412e+63	8.569280504089931e+68
23.0ms	-1.0262888693469564e+80	-1.2636621486166917e+70

Results

41.0ms	296×	0	valid
1.0ms	8×	1	valid

Compiler

Compiled 729 to 455 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (30.9% of total)

ival-mult: 5.0ms (30.9% of total)

ival-tanh: 3.0ms (18.6% of total)

ival-add: 2.0ms (12.4% of total)

ival-sub: 2.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.566222352303412e+63	8.569280504089931e+68
27.0ms	-1.0262888693469564e+80	-1.2636621486166917e+70

Results

30.0ms	292×	0	valid
2.0ms	12×	1	valid

Compiler

Compiled 824 to 531 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 5.0ms (25.5% of total)

ival-mult: 5.0ms (25.5% of total)

ival-sub: 4.0ms (20.4% of total)

ival-tanh: 4.0ms (20.4% of total)

ival-add: 2.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.566222352303412e+63	8.569280504089931e+68
26.0ms	-1.0262888693469564e+80	-1.2636621486166917e+70

Results

27.0ms	291×	0	valid
3.0ms	13×	1	valid

Compiler

Compiled 748 to 474 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (37.9% of total)

ival-mult: 5.0ms (27% of total)

ival-tanh: 3.0ms (16.2% of total)

ival-add: 2.0ms (10.8% of total)

ival-sub: 2.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.265025692008859e+167	2.0784920058350055e+173
13.0ms	5.718615486229876e-39	1.2290967767972199e-36

Results

24.0ms	253×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 480 to 317 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (29.8% of total)

ival-mult: 4.0ms (29.8% of total)

ival-tanh: 3.0ms (22.4% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.718615486229876e-39	1.2290967767972199e-36

Results

12.0ms	107×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 152 to 109 computations (28.3% saved)

Precisions

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

ival-tanh: 4.0ms (43.2% of total)

ival-div: 2.0ms (21.6% of total)

ival-mult: 2.0ms (21.6% of total)

ival-add: 1.0ms (10.8% of total)

ival-sub: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.0672220841414496e+243	5.0395778651468406e+247
12.0ms	1.680094298765333e+42	2.0723114218128229e+43

Results

20.0ms	222×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 282 to 210 computations (25.5% saved)

Precisions

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

ival-div: 3.0ms (26.2% of total)

ival-mult: 3.0ms (26.2% of total)

ival-tanh: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.7% of total)

ival-sub: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.366428411476902e+93	9.887141123249482e+95

Results

10.0ms

112×

valid

Compiler

Compiled 138 to 109 computations (21% saved)

Precisions

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

ival-mult: 3.0ms (45.5% of total)

ival-div: 2.0ms (30.3% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
38×	`+-commutative_binary64`
22×	`sub-neg_binary64`
14×	`neg-mul-1_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	252
1	121	252
2	142	251
3	159	251
4	166	251
5	168	251

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 z (-.f64 t x)))
(if (<=.f64 t #s(literal -8500000000000000792104026014390118740064411727930311165054433587664963915218944 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (fma.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) (+.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -22499999999999999716337892502046717390629640279160264475735825768775680 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 3699999999999999684280108255637480512519749290295054995963248640 binary64)) (+.f64 x (.f64 (+.f64 (.f64 (/.f64 t y) y) (.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z)) (+.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 51999999999999999354859823694545135515243610046394553645146308608 binary64)) (+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 y #s(literal 5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) x (if (<=.f64 y #s(literal 680000000000000005304416224909961825815519890444548410703572946390711606219085894342085966940976407083250515253682848440986247152465163401007092328474172759022365573120 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 3591786423904427/2993155353253689176481146537402947624255349848014848 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 6500000000000000523870889773502260649656320 binary64)) x (if (<=.f64 y #s(literal 1249999999999999940183993661536101700667040673281591678030465140007216855556217950998833084872591426285755730855929739263493865642594494564824658321965021239062494803163649462583139459852543783899201307688962324465922740537248715291495865417465856 binary64)) (+.f64 x (.f64 z t)) (.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 y #s(literal 11000000000000000592942355958127242229764211583159240282979496348337848981244076228267690950656 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z)))
x

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
(+.f64 x (.f64 (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 z (-.f64 t x)))
(if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) (*.f64 z (-.f64 t x)))
(if (<=.f64 t #s(literal -8500000000000000792104026014390118740064411727930311165054433587664963915218944 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (fma.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) (+.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -8500000000000000792104026014390118740064411727930311165054433587664963915218944 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (fma.f64 (.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) z x) (+.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -22499999999999999716337892502046717390629640279160264475735825768775680 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 3699999999999999684280108255637480512519749290295054995963248640 binary64)) (+.f64 x (.f64 (+.f64 (.f64 (/.f64 t y) y) (.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y)) z)) (+.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -22499999999999999716337892502046717390629640279160264475735825768775680 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 3699999999999999684280108255637480512519749290295054995963248640 binary64)) (+.f64 x (.f64 z (-.f64 (.f64 y (/.f64 t y)) (.f64 y (tanh.f64 (/.f64 x y)))))) (+.f64 x (.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 51999999999999999354859823694545135515243610046394553645146308608 binary64)) (+.f64 x (.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 t #s(literal -42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 t #s(literal 51999999999999999354859823694545135515243610046394553645146308608 binary64)) (+.f64 x (.f64 z (.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))))
(if (<=.f64 y #s(literal 5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) x (if (<=.f64 y #s(literal 680000000000000005304416224909961825815519890444548410703572946390711606219085894342085966940976407083250515253682848440986247152465163401007092328474172759022365573120 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 3591786423904427/2993155353253689176481146537402947624255349848014848 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 6500000000000000523870889773502260649656320 binary64)) x (if (<=.f64 y #s(literal 1249999999999999940183993661536101700667040673281591678030465140007216855556217950998833084872591426285755730855929739263493865642594494564824658321965021239062494803163649462583139459852543783899201307688962324465922740537248715291495865417465856 binary64)) (+.f64 x (.f64 z t)) (.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 y #s(literal 6500000000000000523870889773502260649656320 binary64)) x (if (<=.f64 y #s(literal 1249999999999999940183993661536101700667040673281591678030465140007216855556217950998833084872591426285755730855929739263493865642594494564824658321965021239062494803163649462583139459852543783899201307688962324465922740537248715291495865417465856 binary64)) (+.f64 x (.f64 t z)) (.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 y #s(literal 11000000000000000592942355958127242229764211583159240282979496348337848981244076228267690950656 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z)))
x

soundness2.1s (17.5%)

Rules

5806×	`-lowering-.f32`
5806×	`-lowering-.f64`
5602×	`+-lowering-+.f64`
5602×	`+-lowering-+.f32`
4676×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	91	47
2	892	47
0	8269	47
0	31	160
1	238	140
2	2484	140
0	10730	140
0	731	20112
1	2673	17103
0	9349	17103
0	495	9897
1	1835	7218
0	8959	7218

Stop Event

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

Compiler

Compiled 677 to 320 computations (52.7% saved)

preprocess83.0ms (0.7%)

Remove: (abs y)
Compiler: Compiled 772 to 266 computations (65.5% saved)

analyze104.0ms (0.9%)

sample1.6s (12.9%)

preprocess266.0ms (2.2%)

explain136.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify426.0ms (3.5%)

localize172.0ms (1.4%)

series56.0ms (0.5%)

rewrite368.0ms (3%)

simplify306.0ms (2.5%)

eval60.0ms (0.5%)

prune67.0ms (0.6%)

simplify223.0ms (1.8%)

localize152.0ms (1.3%)

series56.0ms (0.5%)

rewrite461.0ms (3.8%)

simplify523.0ms (4.3%)

eval183.0ms (1.5%)

prune170.0ms (1.4%)

simplify163.0ms (1.3%)

localize142.0ms (1.2%)

series51.0ms (0.4%)

rewrite450.0ms (3.7%)

simplify413.0ms (3.4%)

eval257.0ms (2.1%)

prune360.0ms (3%)

simplify166.0ms (1.4%)

localize181.0ms (1.5%)

series53.0ms (0.4%)

rewrite523.0ms (4.3%)

simplify480.0ms (4%)

eval223.0ms (1.8%)

prune239.0ms (2%)

regimes148.0ms (1.2%)

regimes102.0ms (0.8%)

regimes99.0ms (0.8%)

regimes112.0ms (0.9%)

regimes27.0ms (0.2%)

regimes25.0ms (0.2%)

regimes43.0ms (0.4%)

regimes56.0ms (0.5%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch56.0ms (0.5%)

bsearch50.0ms (0.4%)

bsearch50.0ms (0.4%)

bsearch39.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch15.0ms (0.1%)

simplify15.0ms (0.1%)

soundness2.1s (17.5%)

preprocess83.0ms (0.7%)

end0.0ms (0%)

Profiling