Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze68.0ms (0.6%)

Memory

-26.2MiB live, 130.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (10.8%)

Memory

38.5MiB live, 1 701.3MiB allocated

Samples

783.0ms	8 035×	0	valid
37.0ms	221×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 485.0ms

ival-mult: 148.0ms (30.5% of total)

ival-div: 131.0ms (27% of total)

ival-tanh: 83.0ms (17.1% of total)

ival-add: 58.0ms (11.9% of total)

ival-sub: 52.0ms (10.7% of total)

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

adjust: 4.0ms (0.8% of total)

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

Bogosity

preprocess376.0ms (3.4%)

Memory

14.0MiB live, 580.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	226
1	399	224
2	1184	210
3	4721	210
0	12	15
1	54	15
2	157	15
3	419	15
4	1653	15
5	6375	15
0	8390	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

explain401.0ms (3.7%)

Memory

-9.1MiB live, 339.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
22	-	1	(6.702781994697408e-164 2.2530137593264556e+191 6.188030759621938e+90 4.584210531530313e-130)	`(.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	-	`(/.f64 x y)`
0	-	0	-	`(/.f64 t y)`
0	-	0	-	`t`
0	-	0	-	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
0	-	0	-	`(tanh.f64 (/.f64 x y))`
0	-	0	-	`z`
0	-	0	-	`(tanh.f64 (/.f64 t y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*no**	13	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	3	0
↳	`(*.f64 y z)`	overflow	39
↳	`(/.f64 t y)`	underflow	28
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	57
↳	`(tanh.f64 (/.f64 x y))`	underflow	30
↳	`(/.f64 x y)`	underflow	30
↳	`(tanh.f64 (/.f64 t y))`	underflow	28
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	3	0

Confusion

	Predicted +	Predicted -
+	18	2
-	1	235

Precision

0.9473684210526315

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	2
-	1	0	235

Precision?

0.9473684210526315

Recall?

0.9

Freqs

test

number	freq
0	237
1	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms	414×	0	valid
18.0ms	78×	2	valid
3.0ms	20×	1	valid

Compiler

Compiled 158 to 52 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 18.0ms (40.4% of total)

ival-div: 10.0ms (22.5% of total)

ival-tanh: 7.0ms (15.7% of total)

adjust: 3.0ms (6.7% of total)

ival-sub: 3.0ms (6.7% of total)

ival-add: 3.0ms (6.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(+.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)

simplify775.0ms (7.1%)

Memory

-23.5MiB live, 392.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize45.0ms (0.4%)

Memory

9.1MiB live, 88.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	99.6%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	91.9%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

19.0ms	207×	0	valid
12.0ms	39×	2	valid
2.0ms	10×	1	valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (33.3% of total)

ival-div: 5.0ms (23.8% of total)

ival-tanh: 4.0ms (19% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

adjust: 1.0ms (4.8% of total)

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

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

series58.0ms (0.5%)

Memory

-15.0MiB live, 141.7MiB allocated

Counts

6 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite316.0ms (2.9%)

Memory

28.3MiB live, 662.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	91	48
2	863	48
0	8202	47

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 312

Calls

Call 1

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

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

simplify469.0ms (4.3%)

Memory

-4.4MiB live, 708.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	10076
1	1678	7475
2	6945	7471
0	8227	7285

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

eval76.0ms (0.7%)

Memory: 3.6MiB live, 138.4MiB allocated
Compiler: Compiled 22 715 to 1 956 computations (91.4% saved)

prune66.0ms (0.6%)

Memory

-23.9MiB live, 134.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

517 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
▶	59.0%	(fma.f64 z (-.f64 t x) x)
▶	48.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
	62.8%	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
▶	62.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
▶	60.6%	x

Compiler

Compiled 168 to 104 computations (38.1% saved)

simplify335.0ms (3.1%)

Memory

36.4MiB live, 568.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	cost-diff	704	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
✓	cost-diff	0	(/.f64 (-.f64 t x) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(fma.f64 z (-.f64 t x) x)
✓	cost-diff	0	(/.f64 t 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	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)

Rules

14 704×	`accelerator-lowering-fma.f32`
14 704×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
2 716×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	141
1	79	141
2	222	141
3	615	141
4	2016	137
5	7141	135
0	8464	129

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

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

localize109.0ms (1%)

Memory

26.9MiB live, 179.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	accuracy	81.6%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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	80.1%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(fma.f64 z (-.f64 t x) x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	99.6%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	92.7%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)

Samples

33.0ms	207×	0	valid
18.0ms	39×	2	valid
3.0ms	10×	1	valid

Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 9.0ms (27.6% of total)

ival-div: 7.0ms (21.4% of total)

ival-add: 5.0ms (15.3% of total)

adjust: 4.0ms (12.3% of total)

ival-sub: 4.0ms (12.3% of total)

ival-tanh: 3.0ms (9.2% of total)

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

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

series69.0ms (0.6%)

Memory

6.5MiB live, 87.4MiB allocated

Counts

14 → 504

Calls

Call 1

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

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

126 calls:

Time	Variable		Point	Expression
26.0ms	y	@	0	(/ t y)
8.0ms	z	@	-inf	(* (* y z) (- (tanh (/ t y)) (/ x y)))
2.0ms	x	@	0	(* (* y z) (- (tanh (/ t y)) (/ x y)))
1.0ms	y	@	inf	(* (* y z) (- (tanh (/ t y)) (/ x y)))
1.0ms	z	@	0	(* (* y z) (- (tanh (/ t y)) (/ x y)))

rewrite413.0ms (3.8%)

Memory

-23.6MiB live, 621.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`/-lowering-/.f32`
5 364×	`/-lowering-/.f64`
3 960×	`accelerator-lowering-fma.f32`
3 960×	`accelerator-lowering-fma.f64`
3 546×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	170	107
2	1821	107
0	8640	103

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 535

Calls

Call 1

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

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

simplify668.0ms (6.1%)

Memory

-24.1MiB live, 914.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 586×	`accelerator-lowering-fma.f32`
14 586×	`accelerator-lowering-fma.f64`
4 914×	`-lowering-.f32`
4 914×	`-lowering-.f64`
4 706×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	12403
1	2268	9903
0	9006	9647

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

eval175.0ms (1.6%)

Memory: 24.1MiB live, 363.9MiB allocated
Compiler: Compiled 33 500 to 2 842 computations (91.5% saved)

prune359.0ms (3.3%)

Memory

-15.6MiB live, 224.3MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 212	22	1 234
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 215	25	1 240

Accuracy

100.0%

Counts

1 240 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(fma.f64 (/.f64 (.f64 y z) (/.f64 y (.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (+.f64 t x)) x)
	55.0%	(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x)
▶	49.4%	(fma.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
▶	62.8%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	62.6%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x)
✓	92.7%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	52.0%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
	53.5%	(fma.f64 (.f64 y (.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x)
▶	52.7%	(fma.f64 z (fma.f64 t (/.f64 x (neg.f64 t)) t) x)
✓	59.0%	(fma.f64 z (-.f64 t x) x)
	41.7%	(fma.f64 z (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)
	53.0%	(fma.f64 z (neg.f64 x) x)
	55.9%	(fma.f64 z t x)
	18.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 z (-.f64 t x))) (.f64 y (.f64 z (-.f64 t x)))) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (*.f64 z (/.f64 (-.f64 t x) y))) x))
▶	58.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))
	48.8%	(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
	53.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 z (-.f64 t x))))))
	62.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))))
	27.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (+.f64 t x) (-.f64 t x)) (.f64 y (+.f64 t x)))))
	45.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
	52.6%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	48.2%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
	27.1%	(*.f64 z (-.f64 t x))
▶	15.7%	(*.f64 z t)
✓	60.6%	x

Compiler

Compiled 747 to 439 computations (41.2% saved)

simplify318.0ms (2.9%)

Memory

-3.0MiB live, 372.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 t x))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	1024	(fma.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
✓	cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(fma.f64 z (-.f64 t x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))
✓	cost-diff	0	(neg.f64 t)
✓	cost-diff	0	(/.f64 x (neg.f64 t))
✓	cost-diff	0	(fma.f64 z (fma.f64 t (/.f64 x (neg.f64 t)) t) x)
✓	cost-diff	1024	(fma.f64 t (/.f64 x (neg.f64 t)) t)
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(tanh.f64 (/.f64 x y))
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	704	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)

Rules

6 696×	`accelerator-lowering-fma.f32`
6 696×	`accelerator-lowering-fma.f64`
3 858×	`-lowering-.f32`
3 858×	`-lowering-.f64`
1 480×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	158
1	87	156
2	234	149
3	672	121
4	1963	119
5	5857	119
0	8223	113

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

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

localize87.0ms (0.8%)

Memory

27.1MiB live, 182.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 t x))
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓	accuracy	84.9%	(fma.f64 (/.f64 z y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) x)
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(fma.f64 z (-.f64 t x) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))
✓	accuracy	100.0%	(/.f64 x (neg.f64 t))
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	100.0%	(fma.f64 z (fma.f64 t (/.f64 x (neg.f64 t)) t) x)
✓	accuracy	87.9%	(fma.f64 t (/.f64 x (neg.f64 t)) t)
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	accuracy	88.5%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)

Samples

55.0ms

256×

valid

Compiler

Compiled 137 to 31 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 13.0ms (34.8% of total)

ival-mult: 12.0ms (32.1% of total)

ival-add: 5.0ms (13.4% of total)

ival-neg: 3.0ms (8% of total)

ival-sub: 2.0ms (5.3% of total)

ival-tanh: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory

-28.9MiB live, 86.6MiB allocated

Counts

18 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

rewrite360.0ms (3.3%)

Memory

1.1MiB live, 560.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 216×	`-lowering-.f32`
5 216×	`-lowering-.f64`
4 364×	`/-lowering-/.f32`
4 364×	`/-lowering-/.f64`
2 160×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	115
1	210	111
2	1911	109
0	8414	101

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 633

Calls

Call 1

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

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

simplify461.0ms (4.2%)

Memory

25.5MiB live, 877.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 658×	`accelerator-lowering-fma.f32`
8 658×	`accelerator-lowering-fma.f64`
5 786×	`-lowering-.f32`
5 786×	`-lowering-.f64`
3 556×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	7467
1	2408	6569
0	8494	6378

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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

eval176.0ms (1.6%)

Memory: 32.6MiB live, 378.2MiB allocated
Compiler: Compiled 27 879 to 2 965 computations (89.4% saved)

prune241.0ms (2.2%)

Memory

-11.4MiB live, 446.1MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 251	11	1 262
Fresh	3	14	17
Picked	2	3	5
Done	0	3	3
Total	1 256	31	1 287

Accuracy

100.0%

Counts

1 287 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(fma.f64 (/.f64 (.f64 y z) (/.f64 y (.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (+.f64 t x)) x)
	55.0%	(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x)
▶	37.1%	(fma.f64 (/.f64 z y) (/.f64 (.f64 y (.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x)) x)
	49.4%	(fma.f64 (/.f64 z y) (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x t) x) t)) t)) x)
▶	48.7%	(fma.f64 (/.f64 z y) (*.f64 y (neg.f64 x)) x)
	47.6%	(fma.f64 (/.f64 z y) (*.f64 y t) x)
	49.2%	(fma.f64 (/.f64 x (neg.f64 t)) (*.f64 t z) (fma.f64 t z x))
	52.6%	(fma.f64 (/.f64 t y) (*.f64 y z) x)
✓	62.8%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	62.6%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x)
✓	92.7%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	52.0%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
	53.5%	(fma.f64 (.f64 y (.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x)
▶	50.3%	(fma.f64 z (fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) t) t) x)
✓	52.7%	(fma.f64 z (fma.f64 t (/.f64 x (neg.f64 t)) t) x)
✓	59.0%	(fma.f64 z (-.f64 t x) x)
	53.0%	(fma.f64 z (neg.f64 x) x)
▶	55.9%	(fma.f64 z t x)
	55.4%	(fma.f64 y (*.f64 (-.f64 t x) (/.f64 z y)) x)
	13.0%	(/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 (-.f64 t x) (.f64 (-.f64 t x) (-.f64 t x))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (.f64 z #s(literal 1 binary64)) (-.f64 t x))) (.f64 (.f64 (.f64 z #s(literal 1 binary64)) (-.f64 t x)) (.f64 (.f64 z #s(literal 1 binary64)) (-.f64 t x)))))
	18.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 z (-.f64 t x))) (.f64 y (.f64 z (-.f64 t x)))) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (*.f64 z (/.f64 (-.f64 t x) y))) x))
	15.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	53.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 z (-.f64 t x))))))
▶	62.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))))
	27.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (+.f64 t x) (-.f64 t x)) (.f64 y (+.f64 t x)))))
	45.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
	48.2%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
	27.1%	(*.f64 z (-.f64 t x))
✓	15.7%	(*.f64 z t)
✓	60.6%	x

Compiler

Compiled 957 to 536 computations (44% saved)

simplify259.0ms (2.4%)

Memory

15.9MiB live, 454.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 (+.f64 t x) (-.f64 t x)))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	1024	(fma.f64 (/.f64 z y) (/.f64 (.f64 y (.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x)) x)
✓	cost-diff	1408	(/.f64 (.f64 y (.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) t)
✓	cost-diff	0	(*.f64 t x)
✓	cost-diff	0	(fma.f64 z (fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) t) t) x)
✓	cost-diff	1216	(fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) t) t)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	1024	(fma.f64 (/.f64 z y) (*.f64 y (neg.f64 x)) x)
✓	cost-diff	0	(fma.f64 z t x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))))
✓	cost-diff	320	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))
✓	cost-diff	704	(.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))))

Rules

6 984×	`accelerator-lowering-fma.f32`
6 984×	`accelerator-lowering-fma.f64`
4 104×	`-lowering-.f32`
4 104×	`-lowering-.f64`
3 708×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	186
1	112	176
2	369	166
3	1317	156
4	3473	136
5	7456	136
0	8633	132

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (0.9%)

Memory

-26.4MiB live, 166.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 t x) (-.f64 t x))
✓	accuracy	89.3%	(.f64 y (.f64 (+.f64 t x) (-.f64 t x)))
✓	accuracy	84.9%	(fma.f64 (/.f64 z y) (/.f64 (.f64 y (.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x)) x)
✓	accuracy	73.6%	(/.f64 (.f64 y (.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) t)
✓	accuracy	100.0%	(*.f64 t x)
✓	accuracy	100.0%	(fma.f64 z (fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) t) t) x)
✓	accuracy	78.8%	(fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) t) t)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	83.9%	(fma.f64 (/.f64 z y) (*.f64 y (neg.f64 x)) x)
✓	accuracy	100.0%	(fma.f64 z t x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))))
✓	accuracy	99.8%	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))
✓	accuracy	81.6%	(.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))))

Samples

60.0ms

256×

valid

Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 17.0ms (43.6% of total)

ival-div: 9.0ms (23.1% of total)

ival-add: 9.0ms (23.1% of total)

ival-sub: 1.0ms (2.6% of total)

ival-tanh: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

29.1MiB live, 29.1MiB allocated

Counts

17 → 528

Calls

Call 1

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

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

Calls

132 calls:

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

rewrite397.0ms (3.6%)

Memory

-25.9MiB live, 567.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 774×	`-lowering-.f32`
5 774×	`-lowering-.f64`
3 858×	`accelerator-lowering-fma.f32`
3 858×	`accelerator-lowering-fma.f64`
3 856×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	140
1	233	119
2	2300	115
0	8475	108

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 662

Calls

Call 1

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

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

simplify379.0ms (3.5%)

Memory

-13.3MiB live, 576.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 088×	`accelerator-lowering-fma.f32`
9 088×	`accelerator-lowering-fma.f64`
4 096×	`-lowering-.f32`
4 096×	`-lowering-.f64`
2 386×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	475	7447
1	1586	6298
2	5557	6056
0	8442	5924

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

eval338.0ms (3.1%)

Memory: 43.3MiB live, 303.1MiB allocated
Compiler: Compiled 32 491 to 2 651 computations (91.8% saved)

prune339.0ms (3.1%)

Memory

-9.0MiB live, 347.6MiB allocated

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	1 245	11	1 256
Fresh	4	16	20
Picked	2	3	5
Done	0	6	6
Total	1 251	36	1 287

Accuracy

100.0%

Counts

1 287 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.4%	(fma.f64 (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) (.f64 (+.f64 x t) (-.f64 t x))) (fma.f64 x (.f64 x x) (.f64 t (.f64 t t)))) (fma.f64 x (-.f64 x t) (*.f64 t t)) x)
	37.8%	(fma.f64 (/.f64 (.f64 y z) (/.f64 y (.f64 (+.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (+.f64 t x)) x)
	55.0%	(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x)
	45.5%	(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 y z) x)
	43.2%	(fma.f64 (/.f64 z y) (/.f64 (.f64 y (.f64 t t)) (+.f64 t x)) x)
	49.4%	(fma.f64 (/.f64 z y) (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x t) x) t)) t)) x)
	38.8%	(fma.f64 (/.f64 z y) (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x))) x)
	47.6%	(fma.f64 (/.f64 z y) (*.f64 y t) x)
	49.2%	(fma.f64 (/.f64 x (neg.f64 t)) (*.f64 t z) (fma.f64 t z x))
	52.6%	(fma.f64 (/.f64 t y) (*.f64 y z) x)
✓	62.8%	(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
✓	92.7%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
	52.0%	(fma.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z x)
	53.2%	(fma.f64 (.f64 (.f64 y z) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y) x)
	65.4%	(fma.f64 (.f64 z #s(literal 1 binary64)) (neg.f64 x) (fma.f64 (.f64 y z) (tanh.f64 (/.f64 t y)) x))
	22.8%	(fma.f64 (exp.f64 (.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) (.f64 y (neg.f64 x)) x)
✓	50.3%	(fma.f64 z (fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) t) t) x)
✓	52.7%	(fma.f64 z (fma.f64 t (/.f64 x (neg.f64 t)) t) x)
	61.9%	(fma.f64 z (/.f64 (.f64 y (neg.f64 x)) y) (fma.f64 (.f64 y z) (tanh.f64 (/.f64 t y)) x))
	49.7%	(fma.f64 z (/.f64 (*.f64 y (neg.f64 x)) y) x)
✓	59.0%	(fma.f64 z (-.f64 t x) x)
✓	55.9%	(fma.f64 z t x)
	55.4%	(fma.f64 y (*.f64 (-.f64 t x) (/.f64 z y)) x)
	13.0%	(/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 (-.f64 t x) (.f64 (-.f64 t x) (-.f64 t x))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (.f64 z #s(literal 1 binary64)) (-.f64 t x))) (.f64 (.f64 (.f64 z #s(literal 1 binary64)) (-.f64 t x)) (.f64 (.f64 z #s(literal 1 binary64)) (-.f64 t x)))))
	18.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 z (-.f64 t x))) (.f64 y (.f64 z (-.f64 t x)))) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (*.f64 z (/.f64 (-.f64 t x) y))) x))
	15.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	53.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 z (-.f64 t x))))))
	28.0%	(+.f64 x (.f64 (.f64 y z) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))))
✓	62.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y)))))
	27.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (+.f64 t x) (-.f64 t x)) (.f64 y (+.f64 t x)))))
	48.2%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))
	27.1%	(*.f64 z (-.f64 t x))
	15.9%	(*.f64 z (neg.f64 x))
✓	15.7%	(*.f64 z t)
✓	60.6%	x

Compiler

Compiled 1 315 to 534 computations (59.4% saved)

regimes135.0ms (1.2%)

Memory

-6.1MiB live, 153.1MiB allocated

Counts

51 → 2

Calls

Call 1

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

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

Calls

5 calls:

51.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
23.0ms	z
22.0ms	t
22.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
92.7%	1	`x`
97.4%	2	`y`
92.7%	1	`z`
92.7%	1	`t`
98.6%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes109.0ms (1%)

Memory

2.2MiB live, 119.3MiB allocated

Counts

49 → 3

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	x
28.0ms	t
17.0ms	y
14.0ms	z
13.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
72.2%	3	`z`
77.3%	3	`x`
75.1%	3	`t`
82.3%	5	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
82.3%	3	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes14.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
82.0%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

40 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
78.2%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.2%)

Memory

-33.1MiB live, 9.4MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
x
(*.f64 z t)
(fma.f64 z t x)
(*.f64 z (neg.f64 x))
(*.f64 z (-.f64 t x))
(fma.f64 z (neg.f64 x) x)

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

Calls

4 calls:

11.0ms	x
3.0ms	t
3.0ms	y
3.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
67.5%	4	`t`
66.0%	3	`x`
74.7%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
70.6%	2	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
x
(*.f64 z t)
(fma.f64 z t x)
(*.f64 z (neg.f64 x))

Outputs
x
(fma.f64 z t x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.6%	2	`y`
64.3%	3	`z`
68.5%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z t)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.0%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
62.2%	2	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-14.5MiB live, 23.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
60.6%	1	`y`
60.6%	1	`z`
60.6%	1	`t`
60.6%	1	`x`
60.6%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch17.0ms (0.2%)

Memory

6.1MiB live, 44.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.0391647880048314e+147	8.74385270398536e+150

Samples

11.0ms	127×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 262 to 171 computations (34.7% saved)

Precisions

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

ival-mult: 3.0ms (41.1% of total)

ival-div: 2.0ms (27.4% of total)

ival-add: 1.0ms (13.7% of total)

ival-tanh: 1.0ms (13.7% of total)

ival-sub: 1.0ms (13.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch36.0ms (0.3%)

Memory

-26.9MiB live, 70.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0391647880048314e+147	8.74385270398536e+150
15.0ms	9.707579381310255e-13	1.7085497167617218e-9

Samples

23.0ms	251×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 446 to 291 computations (34.8% saved)

Precisions

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

ival-mult: 7.0ms (43.4% of total)

ival-div: 4.0ms (24.8% of total)

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

ival-sub: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch23.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0391647880048314e+147	8.74385270398536e+150
7.0ms	4.858678656974004e-115	7.838288418057455e-115

Samples

14.0ms	189×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 374 to 251 computations (32.9% saved)

Precisions

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

ival-div: 3.0ms (33.6% of total)

ival-mult: 3.0ms (33.6% of total)

ival-tanh: 2.0ms (22.4% of total)

ival-add: 1.0ms (11.2% of total)

ival-sub: 1.0ms (11.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-8.2MiB live, 28.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.333611189859935e+38	1.9198467413537778e+39

Samples

9.0ms	93×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 124 to 91 computations (26.6% saved)

Precisions

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

ival-div: 3.0ms (45% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5063780720239565e+297	+inf
0.0ms	-inf	-3.444372381464697e+304

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch14.0ms (0.1%)

Memory

-5.8MiB live, 31.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.333611189859935e+38	1.9198467413537778e+39

Samples

9.0ms	90×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 112 to 85 computations (24.1% saved)

Precisions

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

ival-mult: 3.0ms (45% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5063780720239565e+297	+inf
0.0ms	-inf	-3.444372381464697e+304

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify12.0ms (0.1%)

Memory

-12.2MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	185
1	76	185
2	88	185
3	95	185
4	99	185
5	100	185

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 519999999999999957326767416365124712378451052335561726493544470350819345678853900018907134577528449342007789219051072594781384530250363044024280940544 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 5570730176784211/77371252455336267181195264 binary64)) x (if (<=.f64 y #s(literal 75000000000000000834040726356574627259620900702288079336966612909426446794932766162720145500585096791549688000474342785425407444422436338413133103104 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) x (if (<=.f64 y #s(literal 1299999999999999935905125042608528024070569499276670001017534653649590958815701108287851124338230693249026350807211601062882461692784770903103766528 binary64)) (fma.f64 (.f64 z #s(literal 1 binary64)) (neg.f64 x) (fma.f64 (.f64 y z) (tanh.f64 (/.f64 t y)) x)) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 1100000000000000069684237715409278599168 binary64)) x (fma.f64 z (-.f64 t x) x))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) x (.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 620000000000000035155232327271721205760 binary64)) x (fma.f64 z t x))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (.f64 z t) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) x (.f64 z t)))
x

Outputs
(if (<=.f64 y #s(literal 519999999999999957326767416365124712378451052335561726493544470350819345678853900018907134577528449342007789219051072594781384530250363044024280940544 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 y #s(literal 5570730176784211/77371252455336267181195264 binary64)) x (if (<=.f64 y #s(literal 75000000000000000834040726356574627259620900702288079336966612909426446794932766162720145500585096791549688000474342785425407444422436338413133103104 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) x (if (<=.f64 y #s(literal 1299999999999999935905125042608528024070569499276670001017534653649590958815701108287851124338230693249026350807211601062882461692784770903103766528 binary64)) (fma.f64 (.f64 z #s(literal 1 binary64)) (neg.f64 x) (fma.f64 (.f64 y z) (tanh.f64 (/.f64 t y)) x)) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) x (if (<=.f64 y #s(literal 1299999999999999935905125042608528024070569499276670001017534653649590958815701108287851124338230693249026350807211601062882461692784770903103766528 binary64)) (fma.f64 z (neg.f64 x) (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) x)) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 y #s(literal 1100000000000000069684237715409278599168 binary64)) x (fma.f64 z (-.f64 t x) x))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) x (.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 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) x (.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 620000000000000035155232327271721205760 binary64)) x (fma.f64 z t x))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (.f64 z t) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) x (.f64 z t)))
(if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) #s(literal -inf.0 binary64)) (.f64 t z) (if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) x (.f64 t z)))
x

soundness943.0ms (8.6%)

Memory

38.8MiB live, 949.9MiB allocated

Rules

14 586×	`accelerator-lowering-fma.f32`
14 586×	`accelerator-lowering-fma.f64`
13 264×	`accelerator-lowering-fma.f32`
13 264×	`accelerator-lowering-fma.f64`
5 774×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	12403
1	2268	9903
0	9006	9647
0	495	10076
1	1678	7475
2	6945	7471
0	8227	7285
0	34	140
1	233	119
2	2300	115
0	8475	108
0	12	48
1	91	48
2	863	48
0	8202	47
0	21	107
1	170	107
2	1821	107
0	8640	103

Stop Event

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

Compiler

Compiled 419 to 198 computations (52.7% saved)

preprocess87.0ms (0.8%)

Memory: -41.1MiB live, 222.7MiB allocated
Compiler: Compiled 522 to 184 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.6%)

sample1.2s (10.8%)

preprocess376.0ms (3.4%)

explain401.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify775.0ms (7.1%)

localize45.0ms (0.4%)

series58.0ms (0.5%)

rewrite316.0ms (2.9%)

simplify469.0ms (4.3%)

eval76.0ms (0.7%)

prune66.0ms (0.6%)

simplify335.0ms (3.1%)

localize109.0ms (1%)

series69.0ms (0.6%)

rewrite413.0ms (3.8%)

simplify668.0ms (6.1%)

eval175.0ms (1.6%)

prune359.0ms (3.3%)

simplify318.0ms (2.9%)

localize87.0ms (0.8%)

series38.0ms (0.3%)

rewrite360.0ms (3.3%)

simplify461.0ms (4.2%)

eval176.0ms (1.6%)

prune241.0ms (2.2%)

simplify259.0ms (2.4%)

localize101.0ms (0.9%)

series26.0ms (0.2%)

rewrite397.0ms (3.6%)

simplify379.0ms (3.5%)

eval338.0ms (3.1%)

prune339.0ms (3.1%)

regimes135.0ms (1.2%)

regimes109.0ms (1%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes20.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch36.0ms (0.3%)

bsearch23.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness943.0ms (8.6%)

preprocess87.0ms (0.8%)

end0.0ms (0%)

Profiling