Metrics for SynthBasics:moogVCF from YampaSynth-0.2

analyze98.0ms (0.8%)

Memory

-14.5MiB live, 104.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.4s (11.3%)

Memory

15.5MiB live, 1 605.1MiB allocated

Samples

849.0ms	8 042×	0	valid
225.0ms	214×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 803.0ms

ival-mult: 346.0ms (43.1% of total)

ival-div: 191.0ms (23.8% of total)

ival-tanh: 152.0ms (18.9% of total)

ival-sub: 62.0ms (7.7% of total)

ival-add: 38.0ms (4.7% of total)

ival-true: 6.0ms (0.7% of total)

adjust: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess684.0ms (5.4%)

Memory

-36.5MiB live, 603.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 492×	`lower-fma.f64`
12 492×	`lower-fma.f32`
3 782×	`lower-*.f32`
3 778×	`lower-*.f64`
2 164×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	226
1	399	224
2	1184	210
3	4721	210
0	12	15
0	20	15
1	62	15
2	165	15
3	427	15
4	1658	15
5	6383	15
0	8408	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

explain216.0ms (1.7%)

Memory

7.9MiB live, 372.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	1	(-1.213702206855627e-183 1.6014841616756403e+259 -1.1207586453126317e+23 -4.898690273496379e-65)	`(.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**	9	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	3	0
↳	`(*.f64 y z)`	overflow	29
↳	`(/.f64 t y)`	underflow	26
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	61
↳	`(tanh.f64 (/.f64 x y))`	underflow	30
↳	`(/.f64 x y)`	underflow	30
↳	`(tanh.f64 (/.f64 t y))`	underflow	26
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	3	0

Confusion

	Predicted +	Predicted -
+	15	1
-	0	240

Precision

1.0

Recall

0.9375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	1
-	0	0	240

Precision?

1.0

Recall?

0.9375

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	88×	2	valid
37.0ms	406×	0	valid
3.0ms	18×	1	valid

Compiler

Compiled 158 to 52 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 52.0ms (60.8% of total)

ival-mult: 16.0ms (18.7% of total)

ival-tanh: 8.0ms (9.4% of total)

adjust: 3.0ms (3.5% of total)

ival-sub: 3.0ms (3.5% of total)

ival-add: 3.0ms (3.5% 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(+.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)

simplify604.0ms (4.8%)

Memory

22.5MiB live, 411.4MiB 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×	`lower-fma.f64`
12 492×	`lower-fma.f32`
3 782×	`lower-*.f32`
3 778×	`lower-*.f64`
2 164×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	20	58
1	62	58
2	165	58
3	427	58
4	1658	58
5	6383	58
0	8408	57

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.7%)

Memory

-35.7MiB live, 65.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	99.6%	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	accuracy	93.6%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

65.0ms	203×	0	valid
11.0ms	44×	2	valid
2.0ms	9×	1	valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-tanh: 29.0ms (67.5% of total)

ival-div: 5.0ms (11.6% of total)

ival-mult: 4.0ms (9.3% of total)

adjust: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

ival-add: 2.0ms (4.7% of total)

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

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

series94.0ms (0.7%)

Memory

22.0MiB live, 95.2MiB allocated

Counts

5 → 180

Calls

Call 1

Inputs
#<alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))>
#<alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))>
#<alt (tanh.f64 (/.f64 x y))>

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

Calls

45 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
21.0ms	y	@	0	(* y z)
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)))))
3.0ms	x	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite544.0ms (4.3%)

Memory

-3.3MiB live, 467.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 094×	`lower-*.f32`
5 090×	`lower-*.f64`
4 102×	`lower-/.f32`
4 098×	`lower-/.f64`
2 936×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	44
1	99	44
2	871	44
0	8208	43

Stop Event

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

Counts

5 → 266

Calls

Call 1

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

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

simplify331.0ms (2.6%)

Memory

23.5MiB live, 653.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 022×	`lower-fma.f64`
10 022×	`lower-fma.f32`
3 896×	`lower-*.f64`
3 896×	`lower-*.f32`
3 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	9354
1	1515	7627
2	6277	7212
0	9374	7079

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

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

eval67.0ms (0.5%)

Memory: -8.1MiB live, 112.5MiB allocated
Compiler: Compiled 20 269 to 1 580 computations (92.2% saved)

prune64.0ms (0.5%)

Memory

8.1MiB live, 129.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	433	9	442
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	434	9	443

Accuracy

100.0%

Counts

443 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	56.7%	(fma.f64 z (-.f64 t x) x)
	23.8%	(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))
▶	42.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
▶	18.1%	(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))
	37.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 y (.f64 y y))) (/.f64 x y)))))
	64.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
▶	38.5%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y)))))
	56.7%	(+.f64 x (*.f64 z (-.f64 t x)))

Compiler

Compiled 430 to 254 computations (40.9% saved)

simplify350.0ms (2.8%)

Memory

-20.3MiB live, 455.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y))
✓	cost-diff	128	(-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y)))
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y)))))
✓	cost-diff	384	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y))))
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y)
✓	cost-diff	1024	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))
✓	cost-diff	0	(/.f64 (-.f64 t x) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	cost-diff	0	(-.f64 t x)
✓	cost-diff	0	(fma.f64 z (-.f64 t x) x)
✓	cost-diff	0	(tanh.f64 (/.f64 t y))
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓	cost-diff	0	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)

Rules

10 464×	`lower-fma.f32`
10 456×	`lower-fma.f64`
5 764×	`lower-*.f32`
5 738×	`lower-*.f64`
2 022×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	521
0	87	471
1	203	460
2	501	416
3	1511	392
0	8072	378

Stop Event

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

Calls

Call 1

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

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

localize242.0ms (1.9%)

Memory

16.1MiB live, 325.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	97.7%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y)
✓	accuracy	80.8%	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y))))
✓	accuracy	80.7%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y))
✓	accuracy	93.4%	(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y)
✓	accuracy	91.9%	(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y)
✓	accuracy	77.0%	(.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))
✓	accuracy	74.8%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
✓	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	73.9%	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
✓	accuracy	100.0%	(-.f64 t x)
✓	accuracy	100.0%	(fma.f64 z (-.f64 t x) x)
✓	accuracy	100.0%	(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	96.0%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Samples

72.0ms	203×	0	valid
56.0ms	44×	2	valid
7.0ms	9×	1	valid

Compiler

Compiled 540 to 51 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 30.0ms (29.7% of total)

const: 18.0ms (17.8% of total)

ival-div: 17.0ms (16.9% of total)

ival-add: 11.0ms (10.9% of total)

adjust: 8.0ms (7.9% of total)

ival-sub: 8.0ms (7.9% of total)

ival-tanh: 6.0ms (5.9% of total)

ival-neg: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series105.0ms (0.8%)

Memory

11.4MiB live, 163.9MiB allocated

Counts

23 → 792

Calls

Call 1

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

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

Calls

198 calls:

Time	Variable		Point	Expression
17.0ms	y	@	0	(* (* y z) (/ (+ (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* (* x (* x x)) 1/6))) y) y) (- x t)) (neg y)))
3.0ms	z	@	0	(* (* y z) (/ (+ (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* (* x (* x x)) 1/6))) y) y) (- x t)) (neg y)))
3.0ms	y	@	-inf	(* (* y z) (- (tanh (/ t y)) (neg (/ (- (/ (* 1/3 (* x (* x x))) (* y y)) x) y))))
2.0ms	x	@	inf	(neg (/ (- (/ (* 1/3 (* x (* x x))) (* y y)) x) y))
2.0ms	z	@	0	(* (* y z) (- (tanh (/ t y)) (neg (/ (- (/ (* 1/3 (* x (* x x))) (* y y)) x) y))))

rewrite485.0ms (3.8%)

Memory

21.0MiB live, 653.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 922×	`lower-/.f32`
4 906×	`lower-/.f64`
4 656×	`lower-*.f32`
4 630×	`lower-*.f64`
3 664×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	344
0	87	315
1	383	307
2	3730	307
0	9882	292

Stop Event

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

Counts

23 → 732

Calls

Call 1

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

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))))
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (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))) (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 (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)) (.f64 x x))))
(/.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 #s(literal -1 binary64) (neg.f64 (/.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))) (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) (neg.f64 (/.f64 (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)) (.f64 x x)))))
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(/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) x) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) x))
(/.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 x))) #s(literal -1 binary64)) y)
(/.f64 (-.f64 (neg.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y))) (neg.f64 x)) (neg.f64 y))
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y)) (neg.f64 (neg.f64 x))) y)
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y)) (*.f64 x #s(literal 1 binary64))) y)
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y)) y) (.f64 y x))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y)) (/.f64 y x)) (.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y y)) (neg.f64 y)) (.f64 y (neg.f64 x)))) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) x) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (*.f64 y y)))) y)))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) x) y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 x))))) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (.f64 y y))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (.f64 y y))) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (.f64 y y))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (.f64 y y)))) (.f64 (/.f64 x y) (/.f64 x y)))) (neg.f64 (+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (*.f64 y y))) (/.f64 x y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) x) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) x)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 x))) #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 y (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x)) y))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (neg.f64 x)) (neg.f64 y)))
(.f64 (pow.f64 (/.f64 y (-.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 y y)) x) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 y (-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) x) x)

simplify544.0ms (4.3%)

Memory

-12.8MiB live, 1 027.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 238×	`lower-fma.f64`
10 238×	`lower-fma.f32`
6 350×	`lower-+.f64`
6 350×	`lower-+.f32`
5 544×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1024	21024
1	3396	18953
0	8746	18373

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 781

Calls

Call 1

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

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

eval283.0ms (2.2%)

Memory: 37.0MiB live, 368.0MiB allocated
Compiler: Compiled 60 554 to 4 718 computations (92.2% saved)

prune252.0ms (2%)

Memory

-22.9MiB live, 464.0MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 629	30	1 659
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	1 636	32	1 668

Accuracy

100.0%

Counts

1 668 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (/.f64 (*.f64 z (-.f64 t x)) y) y x)
	59.3%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
▶	68.3%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	97.2%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	55.8%	(fma.f64 z (fma.f64 x (/.f64 t x) (neg.f64 x)) x)
	24.2%	(fma.f64 z (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)
	40.6%	(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
✓	56.7%	(fma.f64 z (-.f64 t x) x)
	2.3%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 x (.f64 x x)))) (*.f64 y y))
	1.7%	(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 z (.f64 t (.f64 t t)))) (*.f64 y y))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
	52.7%	(-.f64 x (*.f64 x z))
	53.7%	(+.f64 x (/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y)))
	52.9%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	30.3%	(+.f64 x (-.f64 (.f64 z t) (.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)) x))))
▶	11.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))))
	29.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
	26.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) y) y) (-.f64 x t)) (neg.f64 y))))
	15.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 y (fma.f64 t t (.f64 x (+.f64 t x)))))))
	30.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	11.8%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
▶	44.2%	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
	47.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	11.1%	(+.f64 x (.f64 (.f64 y z) (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 x x)))))))
	23.4%	(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))
	12.1%	(+.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) z) (.f64 y y)) (/.f64 z (.f64 x x)))))
	55.0%	(+.f64 x (*.f64 z t))
	47.1%	(+.f64 x (neg.f64 (*.f64 t (fma.f64 x (/.f64 z t) (neg.f64 z)))))
	10.0%	(.f64 (.f64 x (.f64 x x)) (-.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 z (.f64 x x))))
▶	9.8%	(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))
	25.6%	(*.f64 z (-.f64 t x))
▶	17.0%	(*.f64 z t)

Compiler

Compiled 1 222 to 689 computations (43.6% saved)

simplify473.0ms (3.7%)

Memory

-14.4MiB live, 376.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))))
✓	cost-diff	320	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y))))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (.f64 y y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	128	(-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (.f64 y y)) t)
✓	cost-diff	128	(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))
✓	cost-diff	0	(/.f64 (neg.f64 x) y)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
✓	cost-diff	1024	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(tanh.f64 (/.f64 t y))
✓	cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	cost-diff	0	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	cost-diff	704	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y)

Rules

12 520×	`lower-fma.f32`
12 516×	`lower-fma.f64`
5 660×	`lower-*.f32`
5 632×	`lower-*.f64`
2 430×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	258
0	65	230
1	148	230
2	361	229
3	1133	219
4	3696	200
0	8238	198

Stop Event

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

Calls

Call 1

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

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

localize357.0ms (2.8%)

Memory

-13.1MiB live, 214.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.3%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y))))
✓	accuracy	85.0%	(.f64 x (.f64 y y))
✓	accuracy	74.1%	(.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y))))
✓	accuracy	64.4%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))
✓	accuracy	99.9%	(.f64 t (.f64 t t))
✓	accuracy	99.9%	(.f64 (.f64 t (*.f64 t t)) #s(literal 1/3 binary64))
✓	accuracy	93.7%	(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))
✓	accuracy	76.8%	(/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (.f64 y y))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
✓	accuracy	72.1%	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
✓	accuracy	100.0%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	accuracy	100.0%	(tanh.f64 (/.f64 t y))
✓	accuracy	83.2%	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y)

Samples

191.0ms

256×

valid

Compiler

Compiled 265 to 38 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 74.0ms (43.4% of total)

ival-neg: 54.0ms (31.6% of total)

ival-add: 26.0ms (15.2% of total)

ival-div: 9.0ms (5.3% of total)

const: 4.0ms (2.3% of total)

ival-sub: 2.0ms (1.2% of total)

ival-tanh: 1.0ms (0.6% of total)

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

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

series78.0ms (0.6%)

Memory

19.2MiB live, 134.1MiB allocated

Counts

21 → 564

Calls

Call 1

Inputs
#<alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y)>
#<alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)>
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))>
#<alt (tanh.f64 (/.f64 t y))>
#<alt (*.f64 z t)>
#<alt (.f64 (.f64 y z) (/.f64 (neg.f64 x) y))>
#<alt (+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))>
#<alt (*.f64 y z)>
#<alt (/.f64 (neg.f64 x) y)>
#<alt (.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))>
#<alt (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (.f64 y y)) t)>
#<alt (neg.f64 z)>
#<alt (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (.f64 y y))>
#<alt (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y))))>
#<alt (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y))))>
#<alt (+.f64 x (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))))>
#<alt (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))>
#<alt (neg.f64 x)>
#<alt (.f64 (.f64 t (*.f64 t t)) #s(literal 1/3 binary64))>
#<alt (.f64 t (.f64 t t))>
#<alt (.f64 x (.f64 y y))>

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

Calls

141 calls:

Time	Variable		Point	Expression
29.0ms	z	@	0	(+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x)
8.0ms	y	@	inf	(* (neg z) (- (/ (* (* t (* t t)) 1/3) (* y y)) t))
1.0ms	z	@	0	(* (* y z) (/ (+ (* 1/3 (* x (* x x))) (neg (* x (* y y)))) (* y (* y y))))
1.0ms	t	@	inf	(+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x)
1.0ms	t	@	-inf	(+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x)

rewrite363.0ms (2.9%)

Memory

22.2MiB live, 544.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 510×	`lower-*.f32`
5 482×	`lower-*.f64`
3 858×	`lower-/.f32`
3 848×	`lower-/.f64`
2 420×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	204
0	65	180
1	243	180
2	2022	180
0	8109	178

Stop Event

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

Counts

21 → 601

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (tanh.f64 (/.f64 t y))) (.f64 y (/.f64 x (neg.f64 y))))
(+.f64 (.f64 (tanh.f64 (/.f64 t y)) y) (.f64 (/.f64 x (neg.f64 y)) y))
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (/.f64 x (neg.f64 y))))
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (/.f64 x (neg.f64 y)) y))
(/.f64 (.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (.f64 x x) (*.f64 y y)))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) y) (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (.f64 x x) (*.f64 y y))) y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (.f64 x x) (*.f64 y y))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) y)) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (.f64 x x) (*.f64 y y))) y)) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y)
(+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)))
(+.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)))
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z) y x)
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x) (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x) (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.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)) (/.f64 x y)) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x)) (.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x) (.f64 x x))) (.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x) (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x) (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z))) (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (.f64 y z)) x)))
(+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x (neg.f64 y)))
(+.f64 (/.f64 x (neg.f64 y)) (tanh.f64 (/.f64 t y)))
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) (/.f64 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 y)) (tanh.f64 (/.f64 t y)))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) (tanh.f64 (/.f64 t y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t 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)))) (/.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)) (tanh.f64 (/.f64 t y)))
(fma.f64 (expm1.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 x (neg.f64 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)))) (/.f64 x (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) (tanh.f64 (/.f64 t y)))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (.f64 y (.f64 y y)) (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) y) (.f64 y y))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y))) (.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y))))) (neg.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))))) (neg.f64 (neg.f64 (.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) y)) (neg.f64 (.f64 y y)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) (.f64 y y)) y)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) #s(literal 1 binary64)) (.f64 y (.f64 y y)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) y) y)
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))) (.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y))) (.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y)))))) (neg.f64 (neg.f64 (neg.f64 (.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) y))) (neg.f64 (neg.f64 (.f64 y y))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) (.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (.f64 y (.f64 y y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) y)) (neg.f64 y))
(pow.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) y)) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) (.f64 y (.f64 y y))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 y y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (pow.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x (.f64 y y))) (-.f64 (neg.f64 (.f64 x (.f64 y y))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(/.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 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 t (.f64 (*.f64 t t) #s(literal 1/3 binary64)))
(.f64 (.f64 t t) (*.f64 t #s(literal 1/3 binary64)))
(.f64 (.f64 t (*.f64 t t)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 t (*.f64 t t)))
(.f64 (.f64 (*.f64 t t) #s(literal 1/3 binary64)) t)
(.f64 (.f64 #s(literal 1/3 binary64) t) (*.f64 t t))
(exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))
(pow.f64 t #s(literal 3 binary64))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 3 binary64))
(.f64 t (.f64 t t))
(.f64 (.f64 t t) t)
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(.f64 (.f64 y y) x)
(.f64 (.f64 y x) y)

simplify371.0ms (2.9%)

Memory

-14.3MiB live, 767.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 352×	`lower-fma.f64`
11 352×	`lower-fma.f32`
5 348×	`lower-*.f64`
5 348×	`lower-*.f32`
1 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	7819
1	1524	6974
2	5517	6629
0	8590	6472

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

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

eval198.0ms (1.6%)

Memory: 40.8MiB live, 372.7MiB allocated
Compiler: Compiled 30 430 to 2 639 computations (91.3% saved)

prune183.0ms (1.4%)

Memory

-20.2MiB live, 382.2MiB allocated

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	1 165	23	1 188
Fresh	5	20	25
Picked	3	2	5
Done	0	2	2
Total	1 173	47	1 220

Accuracy

100.0%

Counts

1 220 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (/.f64 (*.f64 z (-.f64 t x)) y) y x)
	13.3%	(fma.f64 (/.f64 (.f64 y z) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) x)
	44.2%	(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x)
▶	59.3%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	68.3%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	97.2%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	45.2%	(fma.f64 (*.f64 z (/.f64 x (neg.f64 y))) y x)
	51.1%	(fma.f64 (neg.f64 (.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) y) x)
	52.3%	(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	52.7%	(fma.f64 (neg.f64 x) z x)
	55.8%	(fma.f64 z (fma.f64 x (/.f64 t x) (neg.f64 x)) x)
	24.2%	(fma.f64 z (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)
	40.6%	(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
✓	56.7%	(fma.f64 z (-.f64 t x) x)
	20.8%	(fma.f64 x (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 z (*.f64 y y)) (neg.f64 z)) x)
	2.3%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 x (.f64 x x)))) (*.f64 y y))
	1.7%	(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 t (.f64 t t)) z)) (*.f64 y y))
▶	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
	16.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 y z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (*.f64 y y)))))
	51.1%	(+.f64 (/.f64 (.f64 (.f64 y z) x) (neg.f64 y)) x)
	53.7%	(+.f64 x (/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y)))
▶	52.9%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
	43.8%	(+.f64 x (/.f64 (*.f64 y z) (neg.f64 (/.f64 y x))))
	30.3%	(+.f64 x (-.f64 (.f64 z t) (.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)) x))))
	7.8%	(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))) (.f64 y (*.f64 y y)))))
	22.7%	(+.f64 x (.f64 (.f64 y z) (/.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)))) y)))
	37.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y)))
	29.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
	6.4%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))))
	26.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) y) y) (-.f64 x t)) (neg.f64 y))))
	15.9%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 y (fma.f64 t t (.f64 x (+.f64 t x)))))))
	30.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	16.6%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y)))))
	11.8%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))))
	47.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	44.2%	(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))))
	23.4%	(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))
	22.3%	(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 y x))) #s(literal -1 binary64)))))
	12.1%	(+.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) z) (.f64 y y)) (/.f64 z (.f64 x x)))))
	13.8%	(+.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 z (*.f64 x x))))))
	55.0%	(+.f64 x (*.f64 z t))
	47.1%	(+.f64 x (neg.f64 (*.f64 t (fma.f64 x (/.f64 z t) (neg.f64 z)))))
	16.5%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 y z)))))
▶	9.8%	(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
	25.6%	(*.f64 z (-.f64 t x))
✓	17.0%	(*.f64 z t)
▶	12.8%	(*.f64 x (neg.f64 z))

Compiler

Compiled 1 886 to 1 048 computations (44.4% saved)

simplify285.0ms (2.3%)

Memory

6.4MiB live, 436.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (-.f64 t x))
✓	cost-diff	0	(-.f64 (*.f64 z (-.f64 t x)) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
✓	cost-diff	1728	(/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(.f64 t (.f64 t t))
✓	cost-diff	0	(fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t)
✓	cost-diff	0	(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
✓	cost-diff	0	(*.f64 z (-.f64 t x))
✓	cost-diff	0	(.f64 y (.f64 z (-.f64 t x)))
✓	cost-diff	128	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
✓	cost-diff	1024	(/.f64 (.f64 y (.f64 z (-.f64 t x))) y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x (neg.f64 z))
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	cost-diff	0	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	cost-diff	704	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Rules

8 234×	`lower-fma.f32`
8 228×	`lower-fma.f64`
4 358×	`lower-*.f32`
4 340×	`lower-*.f64`
2 796×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	223
0	56	217
1	125	217
2	317	191
3	930	176
4	3234	172
0	8337	172

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (0.8%)

Memory

-16.4MiB live, 191.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z (-.f64 t x))
✓	accuracy	99.8%	(.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (.f64 z (-.f64 t x)) x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
✓	accuracy	44.0%	(/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)))
✓	accuracy	99.9%	(.f64 t (.f64 t t))
✓	accuracy	99.2%	(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
✓	accuracy	93.7%	(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
✓	accuracy	80.1%	(fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t)
✓	accuracy	100.0%	(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
✓	accuracy	100.0%	(*.f64 z (-.f64 t x))
✓	accuracy	94.0%	(.f64 y (.f64 z (-.f64 t x)))
✓	accuracy	86.5%	(/.f64 (.f64 y (.f64 z (-.f64 t x))) y)
✓	accuracy	100.0%	(*.f64 x (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	accuracy	100.0%	(tanh.f64 (/.f64 x y))
✓	accuracy	82.8%	(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)

Samples

64.0ms

256×

valid

Compiler

Compiled 232 to 34 computations (85.3% saved)

Precisions

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

ival-mult: 17.0ms (38.2% of total)

ival-div: 10.0ms (22.4% of total)

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

ival-sub: 4.0ms (9% of total)

const: 4.0ms (9% of total)

ival-tanh: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

8.6MiB live, 82.7MiB allocated

Counts

20 → 624

Calls

Call 1

Inputs
#<alt (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)>
#<alt (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)>
#<alt (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))>
#<alt (/.f64 t y)>
#<alt (*.f64 x (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (/.f64 (.f64 y (.f64 z (-.f64 t x))) y)>
#<alt (+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))>
#<alt (.f64 y (.f64 z (-.f64 t x)))>
#<alt (*.f64 z (-.f64 t x))>
#<alt (.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))>
#<alt (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t)>
#<alt (.f64 t (.f64 t t))>
#<alt (*.f64 t t)>
#<alt (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))>
#<alt (-.f64 (*.f64 z (-.f64 t x)) x)>
#<alt (tanh.f64 (/.f64 x y))>
#<alt (/.f64 #s(literal -1/3 binary64) (*.f64 y y))>
#<alt (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (.f64 z (-.f64 t x)) x))>

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

Calls

156 calls:

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

rewrite296.0ms (2.3%)

Memory

33.1MiB live, 531.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 134×	`lower-*.f32`
5 116×	`lower-*.f64`
4 464×	`lower-/.f32`
4 452×	`lower-/.f64`
2 144×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	182
0	56	176
1	231	141
2	1947	141
0	8200	140

Stop Event

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

Counts

20 → 693

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (/.f64 t y)) (.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))
(+.f64 (.f64 (/.f64 t y) y) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(fma.f64 y (/.f64 t y) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))))
(fma.f64 (/.f64 t y) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))
(/.f64 (.f64 y (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (*.f64 y y))))
(/.f64 (.f64 y (-.f64 (/.f64 (.f64 t t) (*.f64 y y)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (/.f64 (.f64 t t) (*.f64 y y))))
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(*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)
(+.f64 x (.f64 (-.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)
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(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (.f64 y z)))) (/.f64 (pow.f64 (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (.f64 y z)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(fma.f64 y (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) z) x)
(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) 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)))))
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(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
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simplify484.0ms (3.8%)

Memory

-20.2MiB live, 675.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 720×	`lower-fma.f64`
10 720×	`lower-fma.f32`
5 892×	`lower-*.f64`
5 892×	`lower-*.f32`
4 988×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	10138
1	2862	8919
0	8510	8635

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 612

Calls

Call 1

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

eval223.0ms (1.8%)

Memory: 33.9MiB live, 432.0MiB allocated
Compiler: Compiled 42 349 to 3 661 computations (91.4% saved)

prune290.0ms (2.3%)

Memory

-30.5MiB live, 485.7MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1 462	15	1 477
Fresh	19	19	38
Picked	2	3	5
Done	0	4	4
Total	1 483	41	1 524

Accuracy

100.0%

Counts

1 524 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (/.f64 (*.f64 z (-.f64 t x)) y) y x)
	13.3%	(fma.f64 (/.f64 (.f64 y z) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) x)
	44.2%	(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x)
✓	59.3%	(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓	68.3%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓	97.2%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	45.2%	(fma.f64 (*.f64 z (/.f64 x (neg.f64 y))) y x)
	56.7%	(fma.f64 (.f64 z (-.f64 t x)) (.f64 y (/.f64 #s(literal 1 binary64) y)) x)
	52.3%	(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
	52.7%	(fma.f64 (neg.f64 x) z x)
	55.8%	(fma.f64 z (fma.f64 x (/.f64 t x) (neg.f64 x)) x)
✓	56.7%	(fma.f64 z (-.f64 t x) x)
	55.0%	(fma.f64 t z x)
	1.7%	(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 t (.f64 t t)) z)) (*.f64 y y))
	33.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) (/.f64 z (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))) (neg.f64 (/.f64 x (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))))))
	24.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 x (.f64 z (.f64 (-.f64 t x) (-.f64 t x))))) z))
	22.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (fma.f64 (.f64 t z) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (neg.f64 (fma.f64 x z x))) (*.f64 (fma.f64 x (neg.f64 z) x) (neg.f64 (fma.f64 x z x))))))
	17.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (neg.f64 x))))
	16.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 y z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (*.f64 y y)))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 z) x)))
	17.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	51.1%	(+.f64 (/.f64 (.f64 (.f64 y z) x) (neg.f64 y)) x)
	48.7%	(+.f64 x (/.f64 (.f64 (.f64 y (-.f64 t x)) z) y))
	54.1%	(+.f64 x (/.f64 (.f64 y (.f64 t z)) y))
	46.5%	(+.f64 x (/.f64 (.f64 t (-.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y z)) t))) y))
	56.6%	(+.f64 x (/.f64 (.f64 t (.f64 y z)) y))
	29.5%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
	6.4%	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))))
	30.3%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
	16.6%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y)))))
	11.8%	(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))))
	47.7%	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	22.3%	(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 y x))) #s(literal -1 binary64)))))
	13.8%	(+.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 z (*.f64 x x))))))
	47.1%	(+.f64 x (*.f64 t (fma.f64 (neg.f64 x) (/.f64 z t) z)))
	16.5%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 y z)))))
	25.6%	(*.f64 (-.f64 t x) z)
✓	9.8%	(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
✓	17.0%	(*.f64 z t)
✓	12.8%	(*.f64 x (neg.f64 z))

Compiler

Compiled 2 099 to 770 computations (63.3% saved)

regimes192.0ms (1.5%)

Memory

-5.2MiB live, 231.8MiB allocated

Counts

78 → 1

Calls

Call 1

Inputs
(*.f64 z t)
(fma.f64 t z x)
(*.f64 x (neg.f64 z))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 x (*.f64 z t))
(-.f64 x (*.f64 x z))
(fma.f64 (neg.f64 x) z x)
(fma.f64 z (-.f64 t x) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(+.f64 x (/.f64 (.f64 t (.f64 y z)) y))
(+.f64 x (/.f64 (.f64 y (.f64 t z)) y))
(fma.f64 (*.f64 z (/.f64 x (neg.f64 y))) y x)
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x)
(fma.f64 z (fma.f64 x (/.f64 t x) (neg.f64 x)) x)
(fma.f64 (/.f64 (*.f64 z (-.f64 t x)) y) y x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 (.f64 y z) x) (neg.f64 y)) x)
(+.f64 x (*.f64 t (fma.f64 (neg.f64 x) (/.f64 z t) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (.f64 (.f64 y (-.f64 t x)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(+.f64 x (neg.f64 (*.f64 t (fma.f64 x (/.f64 z t) (neg.f64 z)))))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
(fma.f64 (neg.f64 (.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 z) x)))
(fma.f64 (.f64 z (-.f64 t x)) (.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))))
(+.f64 x (/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y)))
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
(+.f64 x (/.f64 (*.f64 y z) (neg.f64 (/.f64 y x))))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 z (.f64 t (.f64 t t)))) (*.f64 y y))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 t (.f64 t t)) z)) (*.f64 y y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 x (.f64 x x)))) (*.f64 y y))
(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
(fma.f64 x (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 z (*.f64 y y)) (neg.f64 z)) x)
(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y)))
(+.f64 x (-.f64 (.f64 z t) (.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)) x))))
(+.f64 x (/.f64 (.f64 t (-.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y z)) t))) y))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (neg.f64 x))))
(fma.f64 z (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
(+.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) z) (.f64 y y)) (/.f64 z (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
(+.f64 x (.f64 (.f64 y z) (/.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)))) y)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 y (fma.f64 t t (.f64 x (+.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 x (.f64 z (.f64 (-.f64 t x) (-.f64 t x))))) z))
(fma.f64 (/.f64 (.f64 y z) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) y) y) (-.f64 x t)) (neg.f64 y))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 z (.f64 x x))))
(+.f64 x (.f64 (.f64 y z) (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (fma.f64 (.f64 t z) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (neg.f64 (fma.f64 x z x))) (*.f64 (fma.f64 x (neg.f64 z) x) (neg.f64 (fma.f64 x z x))))))
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) (/.f64 z (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))) (neg.f64 (/.f64 x (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 y z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))) (.f64 y (*.f64 y y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 y (.f64 y y))) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 y x))) #s(literal -1 binary64)))))
(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

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

Calls

5 calls:

91.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
29.0ms	t
23.0ms	y
23.0ms	x
22.0ms	z

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`t`
97.2%	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)

regimes144.0ms (1.1%)

Memory

-4.9MiB live, 158.9MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
(*.f64 z t)
(fma.f64 t z x)
(*.f64 x (neg.f64 z))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 x (*.f64 z t))
(-.f64 x (*.f64 x z))
(fma.f64 (neg.f64 x) z x)
(fma.f64 z (-.f64 t x) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(+.f64 x (/.f64 (.f64 t (.f64 y z)) y))
(+.f64 x (/.f64 (.f64 y (.f64 t z)) y))
(fma.f64 (*.f64 z (/.f64 x (neg.f64 y))) y x)
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x)
(fma.f64 z (fma.f64 x (/.f64 t x) (neg.f64 x)) x)
(fma.f64 (/.f64 (*.f64 z (-.f64 t x)) y) y x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 (.f64 y z) x) (neg.f64 y)) x)
(+.f64 x (*.f64 t (fma.f64 (neg.f64 x) (/.f64 z t) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (.f64 (.f64 y (-.f64 t x)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(+.f64 x (neg.f64 (*.f64 t (fma.f64 x (/.f64 z t) (neg.f64 z)))))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
(fma.f64 (neg.f64 (.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 z) x)))
(fma.f64 (.f64 z (-.f64 t x)) (.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))))
(+.f64 x (/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y)))
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
(+.f64 x (/.f64 (*.f64 y z) (neg.f64 (/.f64 y x))))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 z (.f64 t (.f64 t t)))) (*.f64 y y))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 t (.f64 t t)) z)) (*.f64 y y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 x (.f64 x x)))) (*.f64 y y))
(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
(fma.f64 x (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 z (*.f64 y y)) (neg.f64 z)) x)
(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y)))
(+.f64 x (-.f64 (.f64 z t) (.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)) x))))
(+.f64 x (/.f64 (.f64 t (-.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y z)) t))) y))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (neg.f64 x))))
(fma.f64 z (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
(+.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) z) (.f64 y y)) (/.f64 z (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
(+.f64 x (.f64 (.f64 y z) (/.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)))) y)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 y (fma.f64 t t (.f64 x (+.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 x (.f64 z (.f64 (-.f64 t x) (-.f64 t x))))) z))
(fma.f64 (/.f64 (.f64 y z) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) y) y) (-.f64 x t)) (neg.f64 y))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 z (.f64 x x))))
(+.f64 x (.f64 (.f64 y z) (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (fma.f64 (.f64 t z) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (neg.f64 (fma.f64 x z x))) (*.f64 (fma.f64 x (neg.f64 z) x) (neg.f64 (fma.f64 x z x))))))
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) (/.f64 z (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))) (neg.f64 (/.f64 x (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 y z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))) (.f64 y (*.f64 y y)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y y)) x) y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 y (.f64 y y))) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 y x))) #s(literal -1 binary64)))))
(+.f64 x (.f64 (.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))

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

Calls

5 calls:

50.0ms	t
26.0ms	x
21.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
21.0ms	z
20.0ms	y

Results

Accuracy	Segments	Branch
83.8%	3	`x`
86.2%	2	`y`
79.9%	3	`t`
73.0%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
73.4%	3	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes66.0ms (0.5%)

Memory

13.7MiB live, 131.4MiB allocated

Counts

69 → 2

Calls

Call 1

Inputs
(*.f64 z t)
(fma.f64 t z x)
(*.f64 x (neg.f64 z))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(+.f64 x (*.f64 z t))
(-.f64 x (*.f64 x z))
(fma.f64 (neg.f64 x) z x)
(fma.f64 z (-.f64 t x) x)
(+.f64 x (*.f64 z (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(+.f64 x (/.f64 (.f64 t (.f64 y z)) y))
(+.f64 x (/.f64 (.f64 y (.f64 t z)) y))
(fma.f64 (*.f64 z (/.f64 x (neg.f64 y))) y x)
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y z) x)
(fma.f64 z (fma.f64 x (/.f64 t x) (neg.f64 x)) x)
(fma.f64 (/.f64 (*.f64 z (-.f64 t x)) y) y x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 (.f64 y z) x) (neg.f64 y)) x)
(+.f64 x (*.f64 t (fma.f64 (neg.f64 x) (/.f64 z t) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (/.f64 (.f64 y (.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (.f64 (.f64 y (-.f64 t x)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t z)))
(+.f64 x (neg.f64 (*.f64 t (fma.f64 x (/.f64 z t) (neg.f64 z)))))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y z)) x)
(fma.f64 (neg.f64 (.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 z) x)))
(fma.f64 (.f64 z (-.f64 t x)) (.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(+.f64 x (.f64 (.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))))
(+.f64 x (/.f64 (.f64 (.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y)))
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)
(+.f64 x (/.f64 (*.f64 y z) (neg.f64 (/.f64 y x))))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 z (.f64 t (.f64 t t)))) (*.f64 y y))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 t (.f64 t t)) z)) (*.f64 y y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 x (.f64 x x)))) (*.f64 y y))
(.f64 z (fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal -1/3 binary64) (.f64 y y)) t))
(fma.f64 x (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 z (*.f64 y y)) (neg.f64 z)) x)
(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) t))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y (neg.f64 y))) (.f64 y (.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y)))
(+.f64 x (-.f64 (.f64 z t) (.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)) x))))
(+.f64 x (/.f64 (.f64 t (-.f64 (.f64 y z) (/.f64 (.f64 x (.f64 y z)) t))) y))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (neg.f64 x))))
(fma.f64 z (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))
(+.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) z) (.f64 y y)) (/.f64 z (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))))
(+.f64 x (.f64 (.f64 y z) (/.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)))) y)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 y y)))) (.f64 y (.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (.f64 (fma.f64 t t (.f64 x (+.f64 t x))) (-.f64 t x)) (.f64 y (fma.f64 t t (.f64 x (+.f64 t x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 x (.f64 z (.f64 (-.f64 t x) (-.f64 t x))))) z))
(fma.f64 (/.f64 (.f64 y z) (.f64 y y)) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 y y))) y) x)
(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) y) y) (-.f64 x t)) (neg.f64 y))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 z (.f64 x x))))
(+.f64 x (.f64 (.f64 y z) (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (-.f64 t x)) x) (fma.f64 (.f64 t z) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (neg.f64 (fma.f64 x z x))) (*.f64 (fma.f64 x (neg.f64 z) x) (neg.f64 (fma.f64 x z x))))))
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) (/.f64 z (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))) (neg.f64 (/.f64 x (.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (fma.f64 z (-.f64 t x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 y z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y z) x) (.f64 (.f64 y z) x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (.f64 (.f64 t t) #s(literal 1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y y)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 y y)))) (.f64 y (*.f64 y y)))))

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

Calls

3 calls:

22.0ms	t
20.0ms	y
20.0ms	x

Results

Accuracy	Segments	Branch
67.0%	4	`t`
67.6%	3	`x`
76.0%	2	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes16.0ms (0.1%)

Memory

7.4MiB live, 46.8MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
4.0ms	z
4.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
4.0ms	x

Results

Accuracy	Segments	Branch
61.3%	3	`x`
61.9%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
67.1%	4	`z`
63.4%	2	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory

-17.8MiB live, 20.9MiB allocated

Counts

8 → 5

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
3.0ms	t

Results

Accuracy	Segments	Branch
63.1%	4	`t`
68.2%	5	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Memory

0.3MiB live, 39.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
55.0%	1	`x`
55.0%	1	`t`
58.0%	2	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
55.0%	1	`y`
60.9%	3	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes4.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.0%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
57.7%	2	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-30.4MiB live, 10.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(fma.f64 t z x)

Calls

2 calls:

4.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	z

Results

Accuracy	Segments	Branch
55.0%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
55.0%	1	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 z t)

Outputs
(*.f64 z t)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
17.0%	1	`x`
17.0%	1	`y`
17.0%	1	`t`
17.0%	1	`z`
17.0%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch17.0ms (0.1%)

Memory

-5.0MiB live, 34.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.708521174830792e-91	7.279847041672149e-89

Samples

10.0ms	127×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 246 to 171 computations (30.5% saved)

Precisions

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

ival-mult: 3.0ms (42.5% of total)

ival-div: 2.0ms (28.3% of total)

ival-add: 1.0ms (14.2% of total)

ival-sub: 1.0ms (14.2% of total)

ival-tanh: 1.0ms (14.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch30.0ms (0.2%)

Memory

-17.7MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	115.23680994855967	978.6259856471826

Samples

7.0ms	93×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (22.5% of total)

ival-mult: 1.0ms (22.5% of total)

ival-tanh: 1.0ms (22.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch116.0ms (0.9%)

Memory

2.7MiB live, 40.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.657131866823068e+65	3.5569348811140296e+68
14.0ms	2.2109533756759765e-16	8.029033429268056e-13
14.0ms	-4.7047440052329996e-33	-6.311682812954632e-36

Samples

28.0ms	382×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 494 to 339 computations (31.4% saved)

Precisions

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

ival-div: 5.0ms (28.1% of total)

ival-mult: 5.0ms (28.1% of total)

ival-tanh: 4.0ms (22.5% of total)

ival-add: 2.0ms (11.2% of total)

ival-sub: 2.0ms (11.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch21.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	2.657131866823068e+65	3.5569348811140296e+68
0.0ms	2.2109533756759765e-16	8.029033429268056e-13
1.0ms	-4.7047440052329996e-33	-6.311682812954632e-36
17.0ms	-3.9640572902361444e+125	-4.514282038071349e+120

Samples

10.0ms	136×	0	valid
1.0ms	8×	1	valid

Compiler

Compiled 649 to 448 computations (31% saved)

Precisions

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

ival-div: 2.0ms (27.5% of total)

ival-mult: 2.0ms (27.5% of total)

ival-tanh: 2.0ms (27.5% of total)

ival-add: 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)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.657131866823068e+65	3.5569348811140296e+68
1.0ms	-3.9640572902361444e+125	-4.514282038071349e+120

Compiler

Compiled 345 to 240 computations (30.4% saved)

bsearch22.0ms (0.2%)

Memory

-25.1MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-2.634617928242719e+156	-2.883871872620154e+154

Samples

8.0ms	104×	0	valid
1.0ms	8×	1	valid

Compiler

Compiled 148 to 110 computations (25.7% saved)

Precisions

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

ival-div: 2.0ms (34.1% of total)

ival-mult: 2.0ms (34.1% of total)

ival-sub: 1.0ms (17.1% of total)

ival-tanh: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% of total)

adjust: 0.0ms (0% of total)

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

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

simplify9.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
20×	`+-commutative_binary64`
20×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	163
1	72	163
2	90	163
3	101	163
4	107	163
5	108	163

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 y #s(literal 4658669063729833/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x))
(if (<=.f64 y #s(literal 360 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 z #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) (fma.f64 z (-.f64 t x) x) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (-.f64 x (.f64 x z)) (if (<=.f64 z #s(literal 739999999999999989470080595040001157836603835845199706806221275136 binary64)) (fma.f64 t z x) (.f64 z (-.f64 t x)))))
(if (<=.f64 z #s(literal -131999999999999991626711281880855776953230047207187772409489104240959149386848493294045015189546981872584059148587952504832 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) (fma.f64 t z x) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (-.f64 x (.f64 x z)) (if (<=.f64 z #s(literal 739999999999999989470080595040001157836603835845199706806221275136 binary64)) (fma.f64 t z x) (*.f64 z (-.f64 t x))))))
(if (<=.f64 z #s(literal -131999999999999991626711281880855776953230047207187772409489104240959149386848493294045015189546981872584059148587952504832 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 739999999999999989470080595040001157836603835845199706806221275136 binary64)) (fma.f64 t z x) (.f64 z (-.f64 t x))))
(if (<=.f64 z #s(literal -160000000000000005911607310089316246556946877277483015230764456834408698549555513555464209755286533239144188058995722677029392053593174466736739079172390912 binary64)) (*.f64 x (neg.f64 z)) (fma.f64 t z x))
(fma.f64 t z x)
(*.f64 z t)

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(if (<=.f64 y #s(literal 4658669063729833/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x))
(if (<=.f64 y #s(literal 4658669063729833/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x))
(if (<=.f64 y #s(literal 360 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 t x) x))
(if (<=.f64 z #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) (fma.f64 z (-.f64 t x) x) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (-.f64 x (.f64 x z)) (if (<=.f64 z #s(literal 739999999999999989470080595040001157836603835845199706806221275136 binary64)) (fma.f64 t z x) (.f64 z (-.f64 t x)))))
(if (<=.f64 z #s(literal -131999999999999991626711281880855776953230047207187772409489104240959149386848493294045015189546981872584059148587952504832 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) (fma.f64 t z x) (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) (-.f64 x (.f64 x z)) (if (<=.f64 z #s(literal 739999999999999989470080595040001157836603835845199706806221275136 binary64)) (fma.f64 t z x) (*.f64 z (-.f64 t x))))))
(if (<=.f64 z #s(literal -131999999999999991626711281880855776953230047207187772409489104240959149386848493294045015189546981872584059148587952504832 binary64)) (.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 739999999999999989470080595040001157836603835845199706806221275136 binary64)) (fma.f64 t z x) (.f64 z (-.f64 t x))))
(if (<=.f64 z #s(literal -160000000000000005911607310089316246556946877277483015230764456834408698549555513555464209755286533239144188058995722677029392053593174466736739079172390912 binary64)) (*.f64 x (neg.f64 z)) (fma.f64 t z x))
(fma.f64 t z x)
(*.f64 z t)
(*.f64 t z)

soundness1.3s (10.6%)

Memory

14.1MiB live, 896.4MiB allocated

Rules

11 352×	`lower-fma.f64`
11 352×	`lower-fma.f32`
10 720×	`lower-fma.f64`
10 720×	`lower-fma.f32`
10 238×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	7819
1	1524	6974
2	5517	6629
0	8590	6472
0	12	44
0	20	44
1	99	44
2	871	44
0	8208	43
0	45	344
0	87	315
1	383	307
2	3730	307
0	9882	292
0	863	10138
1	2862	8919
0	8510	8635
0	447	9354
1	1515	7627
2	6277	7212
0	9374	7079
0	1024	21024
1	3396	18953
0	8746	18373

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

Compiler

Compiled 698 to 368 computations (47.3% saved)

preprocess375.0ms (3%)

Memory: -24.7MiB live, 93.4MiB allocated
Remove: (abs y)
Compiler: Compiled 518 to 212 computations (59.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze98.0ms (0.8%)

sample1.4s (11.3%)

preprocess684.0ms (5.4%)

explain216.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify604.0ms (4.8%)

localize91.0ms (0.7%)

series94.0ms (0.7%)

rewrite544.0ms (4.3%)

simplify331.0ms (2.6%)

eval67.0ms (0.5%)

prune64.0ms (0.5%)

simplify350.0ms (2.8%)

localize242.0ms (1.9%)

series105.0ms (0.8%)

rewrite485.0ms (3.8%)

simplify544.0ms (4.3%)

eval283.0ms (2.2%)

prune252.0ms (2%)

simplify473.0ms (3.7%)

localize357.0ms (2.8%)

series78.0ms (0.6%)

rewrite363.0ms (2.9%)

simplify371.0ms (2.9%)

eval198.0ms (1.6%)

prune183.0ms (1.4%)

simplify285.0ms (2.3%)

localize105.0ms (0.8%)

series45.0ms (0.4%)

rewrite296.0ms (2.3%)

simplify484.0ms (3.8%)

eval223.0ms (1.8%)

prune290.0ms (2.3%)

regimes192.0ms (1.5%)

regimes144.0ms (1.1%)

regimes66.0ms (0.5%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch30.0ms (0.2%)

bsearch116.0ms (0.9%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.3s (10.6%)

preprocess375.0ms (3%)

end0.0ms (0%)

Profiling