Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze82.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 13 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 15.0ms (39.9% of total)

ival-tanh: 9.0ms (23.9% of total)

ival-div: 6.0ms (16% of total)

ival-sub: 4.0ms (10.6% of total)

ival-add: 4.0ms (10.6% of total)

const: 1.0ms (2.7% of total)

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

sample1.6s (13.4%)

Results

1.3s	8015×	0	valid
46.0ms	241×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 962.0ms

ival-tanh: 382.0ms (39.7% of total)

ival-mult: 273.0ms (28.4% of total)

ival-div: 198.0ms (20.6% of total)

ival-add: 50.0ms (5.2% of total)

ival-sub: 44.0ms (4.6% of total)

const: 7.0ms (0.7% of total)

backward-pass: 7.0ms (0.7% of total)

Bogosity

preprocess300.0ms (2.5%)

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)

explain158.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	1	(2.0394164681496023e-42 3.207470609133166e+272 -6.096669325879218e-43 1.3757443921256421e-173)	`(.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

85.0ms	430×	0	valid
30.0ms	82×	2	valid

Compiler

Compiled 145 to 38 computations (73.8% saved)

Precisions

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

ival-tanh: 24.0ms (42.8% of total)

ival-div: 11.0ms (19.6% of total)

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

ival-sub: 4.0ms (7.1% of total)

ival-add: 4.0ms (7.1% of total)

backward-pass: 3.0ms (5.3% 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
▶	94.3%	(+.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)

simplify208.0ms (1.7%)

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)

localize80.0ms (0.7%)

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	93.8%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Results

41.0ms	41×	2	valid
26.0ms	215×	0	valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 7.0ms (29.8% of total)

ival-div: 5.0ms (21.3% of total)

backward-pass: 4.0ms (17% of total)

ival-tanh: 4.0ms (17% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

const: 0.0ms (0% of total)

series98.0ms (0.8%)

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 (- (/ (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 (- (* (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)))))>
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#<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
40.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.0ms	x	@	inf	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms	t	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms	x	@	0	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite379.0ms (3.2%)

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)))))
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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))

simplify312.0ms (2.6%)

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)

eval86.0ms (0.7%)

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

prune85.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	467	9	476
Fresh	0	0	0
Picked	1	0	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
▶	98.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	98.4%	(+.f64 x (.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
▶	51.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
▶	63.5%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
▶	58.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (-.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))))) (tanh.f64 (/.f64 x y)))))
	68.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	45.1%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))))
	60.8%	(+.f64 x (*.f64 z (-.f64 t x)))
▶	58.8%	x

Compiler

Compiled 370 to 210 computations (43.2% saved)

simplify217.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	14080	(-.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)))))
✓	cost-diff	14080	(-.f64 (-.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))))) (tanh.f64 (/.f64 x y)))
✓	cost-diff	14080	(.f64 (.f64 y z) (-.f64 (-.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))))) (tanh.f64 (/.f64 x y))))
✓	cost-diff	14080	(+.f64 x (.f64 (.f64 y z) (-.f64 (-.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))))) (tanh.f64 (/.f64 x y)))))
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
✓	cost-diff	0	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	cost-diff	0	(/.f64 (-.f64 t x) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	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

3094×	`+-lowering-+.f64`
3094×	`+-lowering-+.f32`
2238×	`-lowering-.f32`
2238×	`-lowering-.f64`
1910×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	262
1	103	239
2	280	239
3	829	239
4	3228	230
0	8273	230

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

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

localize434.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (-.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))))) (tanh.f64 (/.f64 x y)))))
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))
✓	accuracy	93.8%	(.f64 (.f64 y z) (-.f64 (-.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))))) (tanh.f64 (/.f64 x y))))
✓	accuracy	68.0%	(-.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)))))
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	accuracy	89.0%	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(/.f64 (-.f64 t x) y)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	accuracy	87.8%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	accuracy	100.0%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	96.4%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Results

143.0ms	104×	1	valid
113.0ms	34×	2	valid
92.0ms	69×	0	unsamplable
16.0ms	49×	0	valid

Compiler

Compiled 336 to 32 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-div: 92.0ms (39.9% of total)

ival-add: 68.0ms (29.5% of total)

ival-mult: 29.0ms (12.6% of total)

backward-pass: 12.0ms (5.2% of total)

ival-sub: 10.0ms (4.3% of total)

compiled-spec: 8.0ms (3.5% of total)

ival-exp: 7.0ms (3% of total)

ival-tanh: 5.0ms (2.2% of total)

const: 1.0ms (0.4% of total)

series157.0ms (1.3%)

Counts

17 → 636

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

Calls

159 calls:

Time	Variable		Point	Expression
58.0ms	x	@	inf	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	z	@	0	(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
7.0ms	y	@	inf	(- (/ t y) (tanh (/ x y)))
6.0ms	y	@	inf	(+ x (* (* y z) (- (- (/ 1 (+ 1 (exp (/ (* -2 t) y)))) (/ (exp (/ (* -2 t) y)) (+ 1 (exp (/ (* -2 t) y))))) (tanh (/ x y)))))
5.0ms	y	@	-inf	(+ x (* (* y z) (- (- (/ 1 (+ 1 (exp (/ (* -2 t) y)))) (/ (exp (/ (* -2 t) y)) (+ 1 (exp (/ (* -2 t) y))))) (tanh (/ x y)))))

rewrite370.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3368×	`fma-lowering-fma.f32`
3368×	`fma-lowering-fma.f64`
3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
2056×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	150
1	261	148
2	2856	148
0	8189	148

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 673

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

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

simplify544.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

4508×	`+-lowering-+.f64`
4508×	`+-lowering-+.f32`
4220×	`-lowering-.f32`
4220×	`-lowering-.f64`
1376×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1116	24554
1	4173	21356
0	9557	21356

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

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

eval404.0ms (3.4%)

Compiler: Compiled 67999 to 3823 computations (94.4% saved)

prune216.0ms (1.8%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1498	21	1519
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	1501	27	1528

Accuracy

100.0%

Counts

1528 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.4%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	98.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	94.3%	(+.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
	49.1%	(+.f64 x (/.f64 (.f64 (-.f64 (/.f64 (.f64 t (/.f64 t y)) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
	49.0%	(+.f64 x (/.f64 (.f64 z (.f64 y (-.f64 t x))) y))
	53.3%	(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
▶	49.0%	(+.f64 x (.f64 (.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
	32.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t (/.f64 y x)) (.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
	33.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y))))
	34.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	47.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 x (neg.f64 y))))
▶	53.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	51.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
	53.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 t (.f64 t #s(literal 1/2 binary64))) y) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t t) y)) t)) y) (tanh.f64 (/.f64 x y)))))
✓	63.5%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
▶	68.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	45.1%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))))
	46.5%	(+.f64 x (.f64 (.f64 y z) (.f64 x (+.f64 (/.f64 t (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
	44.3%	(+.f64 x (.f64 (.f64 y z) (.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y t))))))
	60.8%	(+.f64 x (*.f64 z (-.f64 t x)))
	57.3%	(+.f64 x (*.f64 z t))
	58.6%	(+.f64 x (.f64 x (-.f64 (/.f64 (.f64 z t) x) z)))
	51.4%	(*.f64 z (-.f64 (+.f64 t (/.f64 x z)) x))
	27.3%	(*.f64 z (-.f64 t x))
▶	18.0%	(*.f64 z t)
	53.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	58.8%	x

Compiler

Compiled 917 to 552 computations (39.8% saved)

simplify243.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3474×	`+-lowering-+.f64`
3474×	`+-lowering-+.f32`
3016×	`-lowering-.f32`
3016×	`-lowering-.f64`
1524×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	179
1	94	175
2	279	166
3	871	162
4	3600	158
0	8332	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize189.0ms (1.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	86.1%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(*.f64 y (-.f64 t x))
✓	accuracy	92.2%	(.f64 z (.f64 y (-.f64 t x)))
✓	accuracy	83.6%	(.f64 (.f64 z (*.f64 y (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
✓	accuracy	79.6%	(.f64 (.f64 y z) (/.f64 t y))
✓	accuracy	100.0%	(*.f64 z t)
✓	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	93.8%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Results

79.0ms	215×	0	valid
68.0ms	41×	2	valid

Compiler

Compiled 192 to 26 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 36.0ms (56.8% of total)

ival-div: 8.0ms (12.6% of total)

ival-add: 6.0ms (9.5% of total)

ival-sub: 5.0ms (7.9% of total)

backward-pass: 4.0ms (6.3% of total)

ival-tanh: 4.0ms (6.3% of total)

const: 0.0ms (0% of total)

series54.0ms (0.5%)

Counts

17 → 648

Calls

Call 1

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

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

162 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(- (tanh (/ t y)) (/ x y))
2.0ms	x	@	-inf	(+ x (* (* y z) (/ t y)))
1.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (/ x y))))
1.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (/ x y))))
1.0ms	t	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (/ x y))))

rewrite440.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3626×	`-lowering-.f32`
3626×	`-lowering-.f64`
3466×	`/-lowering-/.f32`
3466×	`/-lowering-/.f64`
2236×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	135
1	187	132
2	1944	132
0	9599	132

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 482

Calls

Call 1

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

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

simplify740.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

5466×	`+-lowering-+.f64`
5466×	`+-lowering-+.f32`
3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
1910×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	697	15744
1	2607	13600
0	8925	13600

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

eval370.0ms (3.1%)

Compiler: Compiled 36342 to 2842 computations (92.2% saved)

prune161.0ms (1.3%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1322	10	1332
Fresh	6	13	19
Picked	1	4	5
Done	0	3	3
Total	1329	30	1359

Accuracy

100.0%

Counts

1359 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	98.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	19.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y z) t) (.f64 (.f64 y z) t)) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y z) (/.f64 y t)) x))
	19.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (.f64 y z) (/.f64 y t))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) t) (.f64 (.f64 y z) t)) (.f64 y y)))))
▶	49.0%	(+.f64 (/.f64 (.f64 z (.f64 y (-.f64 t x))) y) x)
✓	94.3%	(+.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
	60.8%	(+.f64 (*.f64 z (-.f64 t x)) x)
	54.6%	(+.f64 x (/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x))) (.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	49.1%	(+.f64 x (/.f64 (.f64 (-.f64 (/.f64 (.f64 t (/.f64 t y)) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
	50.5%	(+.f64 x (.f64 (/.f64 (.f64 y (-.f64 t x)) y) z))
	55.5%	(+.f64 x (.f64 (.f64 (*.f64 y z) t) (/.f64 #s(literal 1 binary64) y)))
▶	53.0%	(+.f64 x (.f64 (.f64 z (/.f64 t y)) y))
	39.2%	(+.f64 x (.f64 (.f64 z (.f64 t (-.f64 y (.f64 x (/.f64 y t))))) (/.f64 #s(literal 1 binary64) y)))
	32.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t (/.f64 y x)) (.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
▶	34.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	47.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 x (neg.f64 y))))
✓	53.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	51.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
	53.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 t (.f64 t #s(literal 1/2 binary64))) y) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t t) y)) t)) y) (tanh.f64 (/.f64 x y)))))
✓	63.5%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	68.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	46.5%	(+.f64 x (.f64 (.f64 y z) (.f64 x (+.f64 (/.f64 t (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
	44.3%	(+.f64 x (.f64 (.f64 y z) (.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y t))))))
	57.3%	(+.f64 x (*.f64 z t))
	58.6%	(+.f64 x (.f64 x (-.f64 (/.f64 (.f64 z t) x) z)))
	27.3%	(*.f64 z (-.f64 t x))
	47.9%	(*.f64 z (+.f64 t (/.f64 x z)))
✓	18.0%	(*.f64 z t)
▶	53.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	58.8%	x

Compiler

Compiled 1000 to 586 computations (41.4% saved)

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 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	0	(*.f64 y (-.f64 t x))
✓	cost-diff	0	(.f64 z (.f64 y (-.f64 t x)))
✓	cost-diff	256	(/.f64 (.f64 z (.f64 y (-.f64 t x))) y)
✓	cost-diff	256	(+.f64 (/.f64 (.f64 z (.f64 y (-.f64 t x))) y) x)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(*.f64 z (/.f64 t y))
✓	cost-diff	256	(.f64 (.f64 z (/.f64 t y)) y)
✓	cost-diff	256	(+.f64 x (.f64 (.f64 z (/.f64 t y)) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	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

3636×	`-lowering-.f32`
3636×	`-lowering-.f64`
1706×	`sum4-define`
1080×	`neg-lowering-neg.f64`
1080×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	190
1	99	185
2	279	165
3	997	147
4	5018	147
0	8521	147

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
(* x (- 1 z))
x
(- 1 z)
1
z
(+ x (* (* z (/ t y)) y))
x
(* (* z (/ t y)) y)
(* z (/ t y))
z
(/ t y)
t
y
(+ (/ (* z (* y (- t x))) y) x)
(/ (* z (* y (- t x))) y)
(* z (* y (- t x)))
z
(* y (- t x))
y
(- t x)
t
x
(+ 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
(* 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 (/ t y)) y))
(+.f64 x (*.f64 t z))
x
(* (* z (/ t y)) y)
(*.f64 t z)
(* z (/ t y))
(/.f64 (*.f64 t z) y)
z
(/ t y)
(/.f64 t y)
t
y
(+ (/ (* z (* y (- t x))) y) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(/ (* z (* y (- t x))) y)
(*.f64 z (-.f64 t x))
(* z (* y (- t x)))
(.f64 y (.f64 z (-.f64 t x)))
z
(* y (- t x))
(*.f64 y (-.f64 t x))
y
(- t x)
(-.f64 t x)
t
x
(+ 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)

localize148.0ms (1.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.1%	(-.f64 (.f64 t t) (.f64 x x))
✓	accuracy	87.8%	(.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	81.6%	(.f64 (.f64 y z) (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))
✓	accuracy	72.2%	(/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 z (.f64 y (-.f64 t x))) y) x)
✓	accuracy	100.0%	(*.f64 y (-.f64 t x))
✓	accuracy	92.2%	(.f64 z (.f64 y (-.f64 t x)))
✓	accuracy	83.7%	(/.f64 (.f64 z (.f64 y (-.f64 t x))) y)
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 z (/.f64 t y)) y))
✓	accuracy	95.1%	(*.f64 z (/.f64 t y))
✓	accuracy	81.2%	(.f64 (.f64 z (/.f64 t y)) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	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	85.8%	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Results

108.0ms

256×

valid

Compiler

Compiled 221 to 32 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 20.0ms (34.1% of total)

ival-add: 11.0ms (18.8% of total)

ival-div: 9.0ms (15.4% of total)

ival-sub: 8.0ms (13.7% of total)

compiled-spec: 8.0ms (13.7% of total)

ival-tanh: 1.0ms (1.7% of total)

const: 0.0ms (0% of total)

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

series62.0ms (0.5%)

Counts

19 → 696

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

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

174 calls:

Time	Variable		Point	Expression
17.0ms	y	@	0	(* (- (/ t y) (tanh (/ x y))) y)
3.0ms	t	@	-inf	(* (- (/ t y) (tanh (/ x y))) y)
3.0ms	t	@	inf	(+ x (* (* z (/ t y)) y))
1.0ms	y	@	0	(+ x (* (* y z) (/ (* (- (* t t) (* x x)) (/ 1 y)) (+ t x))))
1.0ms	z	@	inf	(+ x (* (* y z) (/ (* (- (* t t) (* x x)) (/ 1 y)) (+ t x))))

rewrite408.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5742×	`-lowering-.f32`
5742×	`-lowering-.f64`
3014×	`/-lowering-/.f32`
3014×	`/-lowering-/.f64`
2470×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	145
1	224	135
2	2269	131
0	10550	131

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 602

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

simplify309.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4474×	`-lowering-.f32`
4474×	`-lowering-.f64`
3028×	`+-lowering-+.f64`
3028×	`+-lowering-+.f32`
1232×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	9075
1	2042	7656
0	8101	7656

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

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

eval232.0ms (1.9%)

Compiler: Compiled 29506 to 2821 computations (90.4% saved)

prune210.0ms (1.8%)

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	1330	11	1341
Fresh	3	15	18
Picked	2	3	5
Done	0	7	7
Total	1335	36	1371

Accuracy

100.0%

Counts

1371 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	98.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	19.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y z) t) (.f64 (.f64 y z) t)) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y z) (/.f64 y t)) x))
	19.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (.f64 y z) (/.f64 y t))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) t) (.f64 (.f64 y z) t)) (.f64 y y)))))
	50.0%	(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y z))) y) x)
	51.6%	(+.f64 (/.f64 (.f64 z (.f64 y t)) y) x)
	51.2%	(+.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t x) y))) x)
	40.2%	(+.f64 (.f64 (.f64 (+.f64 t x) (/.f64 (-.f64 t x) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (.f64 y z))) x)
✓	94.3%	(+.f64 (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
	60.8%	(+.f64 (*.f64 z (-.f64 t x)) x)
	57.3%	(+.f64 (*.f64 z t) x)
	58.6%	(+.f64 (.f64 x (-.f64 (/.f64 (.f64 z t) x) z)) x)
	54.6%	(+.f64 x (/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (/.f64 y x))) (.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	49.1%	(+.f64 x (/.f64 (.f64 (-.f64 (/.f64 (.f64 t (/.f64 t y)) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
	50.5%	(+.f64 x (.f64 (/.f64 (.f64 y (-.f64 t x)) y) z))
	54.0%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 t z))) y))
✓	53.0%	(+.f64 x (.f64 (.f64 z (/.f64 t y)) y))
	39.2%	(+.f64 x (.f64 (.f64 z (.f64 t (-.f64 y (.f64 x (/.f64 y t))))) (/.f64 #s(literal 1 binary64) y)))
	32.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 t (/.f64 y x)) (.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))
	38.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (+.f64 t x))))
	21.6%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (/.f64 (-.f64 (.f64 t (.f64 t (.f64 t t))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 t t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	47.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 x (neg.f64 y))))
✓	53.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	51.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))
	53.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 t (.f64 t #s(literal 1/2 binary64))) y) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t t) y)) t)) y) (tanh.f64 (/.f64 x y)))))
✓	63.5%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	68.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	46.5%	(+.f64 x (.f64 (.f64 y z) (.f64 x (+.f64 (/.f64 t (.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
	44.3%	(+.f64 x (.f64 (.f64 y z) (.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y t))))))
	27.3%	(*.f64 z (-.f64 t x))
	47.9%	(*.f64 z (+.f64 t (/.f64 x z)))
✓	18.0%	(*.f64 z t)
✓	53.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	13.6%	(*.f64 x (-.f64 #s(literal 0 binary64) z))
	45.9%	(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
✓	58.8%	x

Compiler

Compiled 1447 to 626 computations (56.7% saved)

regimes103.0ms (0.9%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	z
17.0ms	x
16.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
14.0ms	t
14.0ms	y

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	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)

regimes74.0ms (0.6%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`z`
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`t`
98.4%	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)

regimes69.0ms (0.6%)

Counts

45 → 3

Calls

Call 1

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

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

13.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms	y
13.0ms	t
12.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
94.3%	1	`x`
96.6%	2	`y`
94.3%	1	`t`
99.5%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
94.3%	1	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes91.0ms (0.8%)

Counts

44 → 3

Calls

Call 1

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

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

4 calls:

47.0ms	z
16.0ms	x
12.0ms	t
12.0ms	y

Results

Accuracy	Segments	Branch
80.2%	3	`x`
80.6%	3	`t`
76.0%	3	`z`
83.0%	3	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes26.0ms (0.2%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
11.0ms	t

Results

Accuracy	Segments	Branch
67.5%	3	`t`
78.8%	2	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes41.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
67.2%	3	`z`
63.8%	3	`x`
71.8%	2	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.7%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.0%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
58.8%	1	`z`
58.8%	1	`t`
65.3%	4	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(*.f64 z t)

Outputs
x
(*.f64 z t)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
62.2%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
58.8%	1	`z`
58.8%	1	`x`
58.8%	1	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0847220012585567e+304	+inf
0.0ms	-inf	-9.505591066166847e+307

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.941252993134187e+121	6.245812052484503e+123
12.0ms	1.462854856275111e-104	3.094813613742181e-104

Results

17.0ms	184×	0	valid
2.0ms	8×	1	valid

Compiler

Compiled 368 to 243 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (25.9% of total)

ival-mult: 3.0ms (25.9% of total)

ival-tanh: 3.0ms (25.9% of total)

ival-add: 1.0ms (8.6% of total)

ival-sub: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	182079473044477.0	4291573620700787.5

Results

9.0ms	109×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 152 to 109 computations (28.3% saved)

Precisions

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

ival-div: 2.0ms (33.1% of total)

ival-mult: 2.0ms (33.1% of total)

ival-add: 1.0ms (16.5% of total)

ival-tanh: 1.0ms (16.5% of total)

ival-sub: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	182079473044477.0	4291573620700787.5

Results

13.0ms	109×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 138 to 102 computations (26.1% saved)

Precisions

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

ival-mult: 5.0ms (53.9% of total)

ival-div: 2.0ms (21.5% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch91.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
74.0ms	1.0862001285384175e+223	1.2417659717812134e+224
15.0ms	182079473044477.0	4291573620700787.5

Results

82.0ms	206×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 258 to 199 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-tanh: 66.0ms (88% of total)

ival-div: 3.0ms (4% of total)

ival-mult: 3.0ms (4% of total)

ival-add: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.0247692212833491e+293	5.602960075313667e+296
13.0ms	182079473044477.0	4291573620700787.5

Results

30.0ms	238×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 282 to 221 computations (21.6% saved)

Precisions

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

ival-mult: 13.0ms (59.7% of total)

ival-div: 4.0ms (18.4% of total)

ival-tanh: 2.0ms (9.2% of total)

ival-add: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0862001285384175e+223	1.2417659717812134e+224
17.0ms	4.7116868514366656e+151	1.6500415650051484e+156
13.0ms	5.231934397073501e+128	4.838560011006521e+130

Results

31.0ms	333×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 350 to 279 computations (20.3% saved)

Precisions

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

ival-div: 5.0ms (28.4% of total)

ival-mult: 5.0ms (28.4% of total)

ival-tanh: 3.0ms (17.1% of total)

ival-add: 2.0ms (11.4% of total)

ival-sub: 2.0ms (11.4% 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
11.0ms	1.0862001285384175e+223	1.2417659717812134e+224

Results

8.0ms

96×

valid

Compiler

Compiled 110 to 84 computations (23.6% saved)

Precisions

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

ival-div: 1.0ms (19.9% of total)

ival-add: 1.0ms (19.9% of total)

ival-mult: 1.0ms (19.9% of total)

ival-tanh: 1.0ms (19.9% of total)

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

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
30×	`+-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-mul-1_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	204
1	101	204
2	121	204
3	136	204
4	143	204
5	145	204

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 -inf.0 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 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 y #s(literal 2340163952016261/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) x (if (<=.f64 y #s(literal 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944 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 3350000000000000 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 1150000000000000 binary64)) x (+.f64 x (*.f64 z t)))
(if (<=.f64 y #s(literal 2100000000000000 binary64)) x (if (<=.f64 y #s(literal 15000000000000000056920674327831275630447639336724946677376742658467026449060051443209172629370061891643325044741973360310939484538660879449091918109874531598091875414918819261692543546379368834703566216709790693609409871872 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 480000000000000 binary64)) x (if (<=.f64 y #s(literal 184999999999999982935458975015239935467091857540003263170723911175119172512681330882641089118538471866734033721267985357374536045457282146355075687146418475749885308413450801584094005506762285427450641754279883256235739222833523250421929746840001336480654614184391130434707898291405401423398043648 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z t)))
(if (<=.f64 y #s(literal 48000000000000004839688065630201489502348598218403525655921489115217972785020098706576778211980217307252586307018535038887644889088 binary64)) x (if (<=.f64 y #s(literal 48000000000000001987463513459421542544804992225473439482941353636669046511737368705419469347170308598973901747830710504197303976962715123653608443215872 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal 16999999999999998865911422088514294976000515331592287912342775150877961470133737941590021946112705729941023789538326364703935126967789491789178335599829578457827582678471603571891988874076559830969826048525685282866290753536 binary64)) x (.f64 z t))))
(if (<=.f64 y #s(literal 70000000000000001977913635648490453997098711071424967811592703637681364151043554869329053747307952276128009153323366315234569435717597682552608720119454800819680955924530287399364575328560947202465521864281991098593018118144 binary64)) x (*.f64 z t))
x

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(+.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 -inf.0 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 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 -inf.0 binary64)) (.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 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 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 y #s(literal 2340163952016261/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) x (if (<=.f64 y #s(literal 4999999999999999741765937233656071607197384188641043675980257306542464535243513709626268724544510441942600211306712813010944 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 3350000000000000 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 1150000000000000 binary64)) x (+.f64 x (*.f64 z t)))
(if (<=.f64 y #s(literal 1150000000000000 binary64)) x (+.f64 x (*.f64 t z)))
(if (<=.f64 y #s(literal 2100000000000000 binary64)) x (if (<=.f64 y #s(literal 15000000000000000056920674327831275630447639336724946677376742658467026449060051443209172629370061891643325044741973360310939484538660879449091918109874531598091875414918819261692543546379368834703566216709790693609409871872 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 480000000000000 binary64)) x (if (<=.f64 y #s(literal 184999999999999982935458975015239935467091857540003263170723911175119172512681330882641089118538471866734033721267985357374536045457282146355075687146418475749885308413450801584094005506762285427450641754279883256235739222833523250421929746840001336480654614184391130434707898291405401423398043648 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z t)))
(if (<=.f64 y #s(literal 480000000000000 binary64)) x (if (<=.f64 y #s(literal 184999999999999982935458975015239935467091857540003263170723911175119172512681330882641089118538471866734033721267985357374536045457282146355075687146418475749885308413450801584094005506762285427450641754279883256235739222833523250421929746840001336480654614184391130434707898291405401423398043648 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 t z)))
(if (<=.f64 y #s(literal 48000000000000004839688065630201489502348598218403525655921489115217972785020098706576778211980217307252586307018535038887644889088 binary64)) x (if (<=.f64 y #s(literal 48000000000000001987463513459421542544804992225473439482941353636669046511737368705419469347170308598973901747830710504197303976962715123653608443215872 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal 16999999999999998865911422088514294976000515331592287912342775150877961470133737941590021946112705729941023789538326364703935126967789491789178335599829578457827582678471603571891988874076559830969826048525685282866290753536 binary64)) x (.f64 z t))))
(if (<=.f64 y #s(literal 48000000000000004839688065630201489502348598218403525655921489115217972785020098706576778211980217307252586307018535038887644889088 binary64)) x (if (<=.f64 y #s(literal 48000000000000001987463513459421542544804992225473439482941353636669046511737368705419469347170308598973901747830710504197303976962715123653608443215872 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x z)) (if (<=.f64 y #s(literal 16999999999999998865911422088514294976000515331592287912342775150877961470133737941590021946112705729941023789538326364703935126967789491789178335599829578457827582678471603571891988874076559830969826048525685282866290753536 binary64)) x (.f64 t z))))
(if (<=.f64 y #s(literal 70000000000000001977913635648490453997098711071424967811592703637681364151043554869329053747307952276128009153323366315234569435717597682552608720119454800819680955924530287399364575328560947202465521864281991098593018118144 binary64)) x (*.f64 z t))
(if (<=.f64 y #s(literal 70000000000000001977913635648490453997098711071424967811592703637681364151043554869329053747307952276128009153323366315234569435717597682552608720119454800819680955924530287399364575328560947202465521864281991098593018118144 binary64)) x (*.f64 t z))
x

soundness1.7s (14.2%)

Rules

4676×	`-lowering-.f32`
4676×	`-lowering-.f64`
4508×	`+-lowering-+.f64`
4508×	`+-lowering-+.f32`
4474×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	91	47
2	892	47
0	8269	47
0	577	9075
1	2042	7656
0	8101	7656
0	1116	24554
1	4173	21356
0	9557	21356
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 549 to 294 computations (46.4% saved)

preprocess111.0ms (0.9%)

Remove: (abs y)
Compiler: Compiled 892 to 312 computations (65% saved)

analyze82.0ms (0.7%)

sample1.6s (13.4%)

preprocess300.0ms (2.5%)

explain158.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify208.0ms (1.7%)

localize80.0ms (0.7%)

series98.0ms (0.8%)

rewrite379.0ms (3.2%)

simplify312.0ms (2.6%)

eval86.0ms (0.7%)

prune85.0ms (0.7%)

simplify217.0ms (1.8%)

localize434.0ms (3.6%)

series157.0ms (1.3%)

rewrite370.0ms (3.1%)

simplify544.0ms (4.6%)

eval404.0ms (3.4%)

prune216.0ms (1.8%)

simplify243.0ms (2%)

localize189.0ms (1.6%)

series54.0ms (0.5%)

rewrite440.0ms (3.7%)

simplify740.0ms (6.2%)

eval370.0ms (3.1%)

prune161.0ms (1.3%)

simplify155.0ms (1.3%)

localize148.0ms (1.2%)

series62.0ms (0.5%)

rewrite408.0ms (3.4%)

simplify309.0ms (2.6%)

eval232.0ms (1.9%)

prune210.0ms (1.8%)

regimes103.0ms (0.9%)

regimes74.0ms (0.6%)

regimes69.0ms (0.6%)

regimes91.0ms (0.8%)

regimes26.0ms (0.2%)

regimes41.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch28.0ms (0.2%)

bsearch18.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch91.0ms (0.8%)

bsearch41.0ms (0.3%)

bsearch47.0ms (0.4%)

bsearch15.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.7s (14.2%)

preprocess111.0ms (0.9%)

end0.0ms (0%)

Profiling